Ralf Küsters

Abstract

Electronic voting (e-voting) systems have become more prevalent in recent years, but security concerns have also increased, especially regarding the privacy and verifiability of votes. As an essential ingredient for constructing secure e-voting systems, designers often employ zero-knowledge proofs (ZKPs), allowing voters to prove their votes are valid without revealing them. Invalid votes can then be discarded to protect verifiability without compromising the privacy of valid votes. General purpose zero-knowledge proofs (GPZKPs) such as ZK-SNARKs can be used to prove arbitrary statements, including ballot validity. While a specialized ZKP that is constructed only for a specific election type/voting method, ballot format, and encryption/commitment scheme can be more efficient than a GPZKP, the flexibility offered by GPZKPs would allow for quickly constructing e-voting systems for new voting methods and new ballot formats. So far, however, the viability of GPZKPs for showing ballot validity for various ballot formats, in particular, whether and in how far they are practical for voters to compute, has only recently been investigated for ballots that are computed as Pedersen vector commitments in an ACM CCS 2022 paper by Huber et al. Here, we continue this line of research by performing a feasibility study of GPZKPs for the more common case of ballots encrypted via Exponential ElGamal encryption. Specifically, building on the work by Huber et al., we describe how the Groth16 ZK-SNARK can be instantiated to show ballot validity for arbitrary election types and ballot formats encrypted via Exponential ElGamal. As our main contribution, we implement, benchmark, and compare several such instances for a wide range of voting methods and ballot formats. Our benchmarks not only establish a basis for protocol designers to make an educated choice for or against such a GPZKP, but also show that GPZKPs are actually viable for showing ballot validity in voting systems using Exponential ElGamal.

Abstract

FAPI 2.0 is a suite of Web protocols developed by the OpenID Foundation's FAPI Working Group (FAPI WG) for third-party data sharing and digital identity in high-risk environments. Even though the specifications are not completely finished, several important entities have started to adopt the FAPI 2.0 protocols, including Norway's national HelseID, Australia's Consumer Data Standards, as well as private companies like Authlete and Australia-based connectID; the predecessor FAPI 1.0 is in widespread use with millions of users. The FAPI WG asked us to accompany the standardization of the FAPI 2.0 protocols with a formal security analysis to proactively identify vulnerabilities before widespread deployment and to provide formal security guarantees for the standards. In this paper, we report on our analysis and findings. Our analysis is based on a detailed model of the Web infrastructure, the so-called Web Infrastructure Model (WIM), which we extend to be able to carry out our analysis of the FAPI 2.0 protocols including important extensions like FAPI-CIBA. Based on the (extended) WIM and formalizations of the security goals and attacker model laid out in the FAPI 2.0 specifications, we provide a formal model of the protocols and carry out a formal security analysis, revealing several attacks. We have worked with the FAPI WG to fix the protocols, resulting in several amendments to the specifications. With these changes in place, we have adjusted our protocol model and formally proved that the security properties hold true under the strong attacker model defined by the FAPI WG.

Abstract

FAPI 2.0 is a suite of Web protocols developed by the OpenID Foundation's FAPI Working Group (FAPI WG) for third-party data sharing and digital identity in high-risk environments. Even though the specifications are not completely finished, several important entities have started to adopt the FAPI 2.0 protocols, including Norway's national HelseID, Australia's Consumer Data Standards, as well as private companies like Authlete and Australia-based connectID; the predecessor FAPI 1.0 is in widespread use with millions of users. The FAPI WG asked us to accompany the standardization of the FAPI 2.0 protocols with a formal security analysis to proactively identify vulnerabilities before widespread deployment and to provide formal security guarantees for the standards. In this paper, we report on our analysis and findings. Our analysis is based on a detailed model of the Web infrastructure, the so-called Web Infrastructure Model (WIM), which we extend to be able to carry out our analysis of the FAPI 2.0 protocols including important extensions like FAPI-CIBA. Based on the (extended) WIM and formalizations of the security goals and attacker model laid out in the FAPI 2.0 specifications, we provide a formal model of the protocols and carry out a formal security analysis, revealing several attacks. We have worked with the FAPI WG to fix the protocols, resulting in several amendments to the specifications. With these changes in place, we have adjusted our protocol model and formally proved that the security properties hold true under the strong attacker model defined by the FAPI WG.

Abstract

Electronic voting (e-voting) systems have become more prevalent in recent years, but security concerns have also increased, especially regarding the privacy and verifiability of votes. As an essential ingredient for constructing secure e-voting systems, designers often employ zero-knowledge proofs (ZKPs), allowing voters to prove their votes are valid without revealing them. Invalid votes can then be discarded to protect verifiability without compromising the privacy of valid votes. General purpose zero-knowledge proofs (GPZKPs) such as ZK-SNARKs can be used to prove arbitrary statements, including ballot validity. While a specialized ZKP that is constructed only for a specific election type/voting method, ballot format, and encryption/commitment scheme can be more efficient than a GPZKP, the flexibility offered by GPZKPs would allow for quickly constructing e-voting systems for new voting methods and new ballot formats. So far, however, the viability of GPZKPs for showing ballot validity for various ballot formats, in particular, whether and in how far they are practical for voters to compute, has only recently been investigated for ballots that are computed as Pedersen vector commitments in an ACM CCS 2022 paper by Huber et al. Here, we continue this line of research by performing a feasibility study of GPZKPs for the more common case of ballots encrypted via Exponential ElGamal encryption. Specifically, building on the work by Huber et al., we describe how the Groth16 ZK-SNARK can be instantiated to show ballot validity for arbitrary election types and ballot formats encrypted via Exponential ElGamal. As our main contribution, we implement, benchmark, and compare several such instances for a wide range of voting methods and ballot formats. Our benchmarks not only establish a basis for protocol designers to make an educated choice for or against such a GPZKP, but also show that GPZKPs are actually viable for showing ballot validity in voting systems using Exponential ElGamal.

Abstract

Many of the currently best actively secure Multi-Party Computation (MPC) protocols like SPDZ (Damgård et al., CRYPTO 2012) and improvements thereof use correlated randomness to speed up the time-critical online phase. Although many of these protocols still rely on classical Beaver triples, recent results show that more complex correlations like matrix or convolution triples lead to more efficient evaluations of the corresponding operations, i.e. matrix multiplications or tensor convolutions. In this paper, we address the evaluation of multivariate polynomials with a new form of randomness: polytuples. We use the polytuples to construct a new family of randomized encodings which then allow us to evaluate the given multivariate polynomial. Our approach can be fine-tuned in various ways to the constraints of applications at hand, in terms of round complexity, bandwidth, and tuple size. We show that for many real-world setups, a polytuples-based online phase outperforms state-of-the-art protocols based on Beaver triples.

Abstract

Many of the currently best actively secure Multi-Party Computation (MPC) protocols like SPDZ (Damgård et al., CRYPTO 2012) and improvements thereof use correlated randomness to speed up the time-critical online phase. Although many of these protocols still rely on classical Beaver triples, recent results show that more complex correlations like matrix or convolution triples lead to more efficient evaluations of the corresponding operations, i.e. matrix multiplications or tensor convolutions. In this paper, we address the evaluation of multivariate polynomials with a new form of randomness: polytuples. We use the polytuples to construct a new family of randomized encodings which then allow us to evaluate the given multivariate polynomial. Our approach can be fine-tuned in various ways to the constraints of applications at hand, in terms of round complexity, bandwidth, and tuple size. We show that for many real-world setups, a polytuples-based online phase outperforms state-of-the-art protocols based on Beaver triples.

Abstract

Latest gaze estimation methods require large-scale training data but their collection and exchange pose significant privacy risks. We propose PrivatEyes - the first privacy-enhancing training approach for appearance-based gaze estimation based on federated learning (FL) and secure multi-party computation (MPC). PrivatEyes enables training gaze estimators on multiple local datasets across different users and server-based secure aggregation of the individual estimators' updates. PrivatEyes guarantees that individual gaze data remains private even if a majority of the aggregating servers is malicious. We also introduce a new data leakage attack DualView that shows that PrivatEyes limits the leakage of private training data more effectively than previous approaches. Evaluations on the MPIIGaze, MPIIFaceGaze, GazeCapture, and NVGaze datasets further show that the improved privacy does not lead to a lower gaze estimation accuracy or substantially higher computational costs - both of which are on par with its non-secure counterparts.

Abstract

Latest gaze estimation methods require large-scale training data but their collection and exchange pose significant privacy risks. We propose PrivatEyes - the first privacy-enhancing training approach for appearance-based gaze estimation based on federated learning (FL) and secure multi-party computation (MPC). PrivatEyes enables training gaze estimators on multiple local datasets across different users and server-based secure aggregation of the individual estimators' updates. PrivatEyes guarantees that individual gaze data remains private even if a majority of the aggregating servers is malicious. We also introduce a new data leakage attack DualView that shows that PrivatEyes limits the leakage of private training data more effectively than previous approaches. Evaluations on the MPIIGaze, MPIIFaceGaze, GazeCapture, and NVGaze datasets further show that the improved privacy does not lead to a lower gaze estimation accuracy or substantially higher computational costs - both of which are on par with its non-secure counterparts.

Abstract

In recent years, the number of third-party services that can access highly-sensitive data has increased steadily, e.g., in the financial sector, in eGovernment applications, or in high-assurance identity services. Protocols that enable this access must provide strong security guarantees. A prominent and widely employed protocol for this purpose is the OpenID Foundation's FAPI protocol. The FAPI protocol is already in widespread use, e.g., as part of the UK's Open Banking standards and Brazil's Open Banking Initiative as well as outside of the financial sector, for instance, as part of the Australian government's Consumer Data Rights standards. Based on lessons learned from FAPI 1.0, the OpenID Foundation has developed a completely new protocol, called FAPI 2.0. The specifications of FAPI 2.0 include a concrete set of security goals and attacker models under which the protocol aims to be secure. Following an invitation from the OpenID Foundation's FAPI Working Group (FAPI WG), we have accompanied the standardization process of the FAPI 2.0 protocol by an in-depth formal security analysis. In this paper, we report on our analysis and findings. Our analysis incorporates the first formal model of the FAPI 2.0 protocol and is based on a detailed model of the web infrastructure, the Web Infrastructure Model, originally proposed by Fett, Küsters, and Schmitz. Our analysis has uncovered several types of attacks on the protocol, violating the aforementioned security goals set by the FAPI WG. We subsequently have worked with the FAPI WG to fix the protocol, resulting in several changes to the specifications. After adapting our model to the changed specifications, we have proved the security properties to hold under the strong attacker model defined by the FAPI WG.

Abstract

Bulletin boards (BB) are important cryptographic building blocks that, at their core, provide a broadcast channel with memory. BBs are widely used within many security protocols, including secure multi-party computation protocols, e-voting systems, and electronic auctions. Even though the security of protocols crucially depends on the underlying BB, as also highlighted by recent works, the literature on constructing secure BBs is sparse. The so-far only provably secure BBs require trusted components and sometimes also networks without message loss, which makes them unsuitable for applications with particularly high security needs where these assumptions might not always be met. In this work, we fill this gap by leveraging the concepts of accountability and universal composability (UC). More specifically, we propose the first ideal functionality for accountable BBs that formalizes the security requirements of such BBs in UC. We then propose Fabric*BB as a slight extension designed on top of Fabric*, which is a variant of the prominent Hyperledger Fabric distributed ledger protocol, and show that Fabric*BB UC-realizes our ideal BB functionality. This result makes Fabric*BB the first provably accountable BB, an often desired, but so far not formally proven property for BBs, and also the first BB that has been proven to be secure based only on standard cryptographic assumptions and without requiring trusted BB components or network assumptions. Through an implementation and performance evaluation we show that Fabric*BB is practical for many applications of BBs.

Abstract

In recent years, actively secure SPDZ-like protocols for dishonest majority, like SPDZ2k, Overdrive2k, and MHz2k, over base rings Z2k have become more and more efficient. In this paper, we present a new actively secure MPC protocol Multipars that outperforms these state-of-the-art protocols over Z2k by more than a factor of 2 in the two-party setup in terms of communication. Multipars is the first actively secure N-party protocol over Z2k that is based on linear homomorphic encryption (LHE) in the offline phase (instead of oblivious transfer or somewhat homomorphic encryption in previous works). The strong performance of Multipars relies on a new adaptive packing for BGV ciphertexts that allows us to reduce the parameter size of the encryption scheme and the overall communication cost. Additionally, we use modulus switching for further size reduction, a new type of enhanced CPA security over Z2k, a truncation protocol for Beaver triples, and a new LHE-based offline protocol without sacrificing over Z2k. We have implemented Multipars and therewith provide the fastest preprocessing phase over Z2k. Our evaluation shows that Multipars offers at least a factor of 8 lower communication costs and up to a factor of 10.2 faster runtime in the WAN setting compared to the currently best available MPC implementation over Z2k.

Abstract

In recent years, the number of third-party services that can access highly-sensitive data has increased steadily, e.g., in the financial sector, in eGovernment applications, or in high-assurance identity services. Protocols that enable this access must provide strong security guarantees. A prominent and widely employed protocol for this purpose is the OpenID Foundation's FAPI protocol. The FAPI protocol is already in widespread use, e.g., as part of the UK's Open Banking standards and Brazil's Open Banking Initiative as well as outside of the financial sector, for instance, as part of the Australian government's Consumer Data Rights standards. Based on lessons learned from FAPI 1.0, the OpenID Foundation has developed a completely new protocol, called FAPI 2.0. The specifications of FAPI 2.0 include a concrete set of security goals and attacker models under which the protocol aims to be secure. Following an invitation from the OpenID Foundation's FAPI Working Group (FAPI WG), we have accompanied the standardization process of the FAPI 2.0 protocol by an in-depth formal security analysis. In this paper, we report on our analysis and findings. Our analysis incorporates the first formal model of the FAPI 2.0 protocol and is based on a detailed model of the web infrastructure, the Web Infrastructure Model, originally proposed by Fett, Küsters, and Schmitz. Our analysis has uncovered several types of attacks on the protocol, violating the aforementioned security goals set by the FAPI WG. We subsequently have worked with the FAPI WG to fix the protocol, resulting in several changes to the specifications. After adapting our model to the changed specifications, we have proved the security properties to hold under the strong attacker model defined by the FAPI WG.

Abstract

In recent years, actively secure SPDZ-like protocols for dishonest majority, like SPDZ2k, Overdrive2k, and MHz2k, over base rings Z2k have become more and more efficient. In this paper, we present a new actively secure MPC protocol Multipars that outperforms these state-of-the-art protocols over Z2k by more than a factor of 2 in the two-party setup in terms of communication. Multipars is the first actively secure N-party protocol over Z2k that is based on linear homomorphic encryption (LHE) in the offline phase (instead of oblivious transfer or somewhat homomorphic encryption in previous works). The strong performance of Multipars relies on a new adaptive packing for BGV ciphertexts that allows us to reduce the parameter size of the encryption scheme and the overall communication cost. Additionally, we use modulus switching for further size reduction, a new type of enhanced CPA security over Z2k, a truncation protocol for Beaver triples, and a new LHE-based offline protocol without sacrificing over Z2k. We have implemented Multipars and therewith provide the fastest preprocessing phase over Z2k. Our evaluation shows that Multipars offers at least a factor of 8 lower communication costs and up to a factor of 10.2 faster runtime in the WAN setting compared to the currently best available MPC implementation over Z2k.

Abstract

Bulletin boards (BB) are important cryptographic building blocks that, at their core, provide a broadcast channel with memory. BBs are widely used within many security protocols, including secure multi-party computation protocols, e-voting systems, and electronic auctions. Even though the security of protocols crucially depends on the underlying BB, as also highlighted by recent works, the literature on constructing secure BBs is sparse. The so-far only provably secure BBs require trusted components and sometimes also networks without message loss, which makes them unsuitable for applications with particularly high security needs where these assumptions might not always be met. In this work, we fill this gap by leveraging the concepts of accountability and universal composability (UC). More specifically, we propose the first ideal functionality for accountable BBs that formalizes the security requirements of such BBs in UC. We then propose Fabric*BB as a slight extension designed on top of Fabric*, which is a variant of the prominent Hyperledger Fabric distributed ledger protocol, and show that Fabric*BB UC-realizes our ideal BB functionality. This result makes Fabric*BB the first provably accountable BB, an often desired, but so far not formally proven property for BBs, and also the first BB that has been proven to be secure based only on standard cryptographic assumptions and without requiring trusted BB components or network assumptions. Through an implementation and performance evaluation we show that Fabric*BB is practical for many applications of BBs.

Abstract

Many so-called tally-hiding e-voting systems have been proposed in the literature. Tally-hiding elections only publish the election result, e.g., the election's winner, thus drastically improving the voters' privacy and offering many other desired features. However, all of these tally-hiding works focus on the core logic of the system but consider additional aspects, such as client and verification interfaces, to be out of scope. Altogether, there currently is no complete tally-hiding voting system that we can readily deploy in practice. In this work, we close this gap by designing the first fully-fledged tally-hiding e-voting system that one can readily deploy in various real-world elections, including those using voting methods such as Borda voting, multiple Condorcet methods, and instant-runoff voting. Our system builds on and extends the existing Ordinos framework for secure tally-hiding e-voting by, among others, developing clients, easy-to-use and cross-platform web interfaces, ballot verification zero-knowledge proofs, and a fully automated verification procedure to support and encourage voter verification.

Abstract

Modern e-voting systems provide what is called verifiability, i.e., voters are able to check that their votes have actually been counted despite potentially malicious servers and voting authorities. Some of these systems, called tally-hiding systems, provide increased privacy by revealing only the actual election result, e.g., the winner of the election, but no further information that is supposed to be kept secret. However, due to these very strong privacy guarantees, supporting complex voting methods at a real-world scale has proven to be very challenging for tally-hiding systems. A widespread class of elections, and at the same time, one of the most involved ones is parliamentary election with party-based seat-allocation. These elections are performed for millions of voters, dozens of parties, and hundreds of individual candidates competing for seats; they also use very sophisticated multi-step algorithms to compute the final assignment of seats to candidates based on, e.g., party lists, hundreds of electoral constituencies, possibly additional votes for individual candidates, overhang seats, and special exceptions for minorities. So far, it has not been investigated whether and in how far such elections can be performed in a verifiable tally-hiding manner. In this work, we design and implement the first verifiable (fully) tally-hiding e-voting system for an election from this class, namely, for the German parliament (Bundestag). As part of this effort, we propose several new tally-hiding building blocks that are of independent interest. We perform benchmarks based on actual election data, which show, perhaps surprisingly, that our proposed system is practical even at a real-world scale. Our work thus serves as a foundational feasibility study for this class of elections.

Abstract

Modern e-voting systems provide what is called verifiability, i.e., voters are able to check that their votes have actually been counted despite potentially malicious servers and voting authorities. Some of these systems, called tally-hiding systems, provide increased privacy by revealing only the actual election result, e.g., the winner of the election, but no further information that is supposed to be kept secret. However, due to these very strong privacy guarantees, supporting complex voting methods at a real-world scale has proven to be very challenging for tally-hiding systems. A widespread class of elections, and at the same time, one of the most involved ones is parliamentary election with party-based seat-allocation. These elections are performed for millions of voters, dozens of parties, and hundreds of individual candidates competing for seats; they also use very sophisticated multi-step algorithms to compute the final assignment of seats to candidates based on, e.g., party lists, hundreds of electoral constituencies, possibly additional votes for individual candidates, overhang seats, and special exceptions for minorities. So far, it has not been investigated whether and in how far such elections can be performed in a verifiable tally-hiding manner. In this work, we design and implement the first verifiable (fully) tally-hiding e-voting system for an election from this class, namely, for the German parliament (Bundestag). As part of this effort, we propose several new tally-hiding building blocks that are of independent interest. We perform benchmarks based on actual election data, which show, perhaps surprisingly, that our proposed system is practical even at a real-world scale. Our work thus serves as a foundational feasibility study for this class of elections.

Abstract

The Grant Negotiation and Authorization Protocol (GNAP) is an emerging authorization and authentication protocol which aims to consolidate and unify several use-cases of OAuth 2.0 and many of its common extensions while providing a higher degree of security. OAuth 2.0 is an essential cornerstone of the security of authorization and authentication for the Web, IoT, and beyond, and is used, among others, by many global players, like Google, Facebook, and Microsoft. Historical limitations of OAuth 2.0 and its extensions have led prominent members of the OAuth community to create GNAP, a newly designed protocol for authorization and authentication. Given GNAP's advantages over OAuth 2.0 and its support within the OAuth community, GNAP is expected to become at least as important as OAuth 2.0. In this paper, we present the first formal security analysis of GNAP. We build a detailed formal model of GNAP, based on the Web Infrastructure Model (WIM) of Fett, Küsters, and Schmitz, and provide formal statements of the key security properties of GNAP, namely authorization, authentication, and session integrity. We discovered several attacks on GNAP in the process of trying to prove these properties. We present these attacks, as well as changes to the protocol that prevent them. These modifications have been incorporated into the GNAP specification after discussion with the GNAP working group. We give the first formal security guarantees for GNAP, by proving that GNAP, with our modifications applied, satisfies the mentioned security properties. GNAP was still an early draft when we began our analysis, but is now on track to be adopted as an IETF standard. Hence, our analysis is just in time to help ensure the security of this important emerging standard.

Abstract

The Grant Negotiation and Authorization Protocol (GNAP) is an emerging authorization and authentication protocol which aims to consolidate and unify several use-cases of OAuth 2.0 and many of its common extensions while providing a higher degree of security. OAuth 2.0 is an essential cornerstone of the security of authorization and authentication for the Web, IoT, and beyond, and is used, among others, by many global players, like Google, Facebook, and Microsoft. Historical limitations of OAuth 2.0 and its extensions have led prominent members of the OAuth community to create GNAP, a newly designed protocol for authorization and authentication. Given GNAP's advantages over OAuth 2.0 and its support within the OAuth community, GNAP is expected to become at least as important as OAuth 2.0. In this paper, we present the first formal security analysis of GNAP. We build a detailed formal model of GNAP, based on the Web Infrastructure Model (WIM) of Fett, Küsters, and Schmitz, and provide formal statements of the key security properties of GNAP, namely authorization, authentication, and session integrity. We discovered several attacks on GNAP in the process of trying to prove these properties. We present these attacks, as well as changes to the protocol that prevent them. These modifications have been incorporated into the GNAP specification after discussion with the GNAP working group. We give the first formal security guarantees for GNAP, by proving that GNAP, with our modifications applied, satisfies the mentioned security properties. GNAP was still an early draft when we began our analysis, but is now on track to be adopted as an IETF standard. Hence, our analysis is just in time to help ensure the security of this important emerging standard.

Abstract

While cryptographic protocols are often analyzed in isolation, they are typically deployed within a stack of protocols, where each layer relies on the security guarantees provided by the protocol layer below it, and in turn provides its own security functionality to the layer above. Formally analyzing the whole stack in one go is infeasible even for semi-automated verification tools, and impossible for pen-and-paper proofs. The DY* protocol verification framework offers a modular and scalable technique that can reason about large protocols, specified as a set of F* modules. However, it does not support the compositional verification of layered protocols since it treats the global security invariants monolithically. In this paper, we extend DY* with a new methodology that allows analysts to modularly analyze each layer in a way that compose to provide security for a protocol stack. Importantly, our technique allows a layer to be replaced by another implementation, without affecting the proofs of other layers. We demonstrate this methodology on two case studies. We also present a verified library of generic authenticated and confidential communication patterns that can be used in future protocol analyses and is of independent interest.

Abstract

While cryptographic protocols are often analyzed in isolation, they are typically deployed within a stack of protocols, where each layer relies on the security guarantees provided by the protocol layer below it, and in turn provides its own security functionality to the layer above. Formally analyzing the whole stack in one go is infeasible even for semi-automated verification tools, and impossible for pen-and-paper proofs. The DY* protocol verification framework offers a modular and scalable technique that can reason about large protocols, specified as a set of F* modules. However, it does not support the compositional verification of layered protocols since it treats the global security invariants monolithically. In this paper, we extend DY* with a new methodology that allows analysts to modularly analyze each layer in a way that compose to provide security for a protocol stack. Importantly, our technique allows a layer to be replaced by another implementation, without affecting the proofs of other layers. We demonstrate this methodology on two case studies. We also present a verified library of generic authenticated and confidential communication patterns that can be used in future protocol analyses and is of independent interest.

Abstract

Machine learning (ML) has seen a strong rise in popularity in recent years and has become an essential tool for research and industrial applications. Given the large amount of high quality data needed and the often sensitive nature of ML data, privacy-preserving collaborative ML is of increasing importance. In this paper, we introduce new actively secure multiparty computation (MPC) protocols which are specially optimized for privacy-preserving machine learning applications. We concentrate on the optimization of (tensor) convolutions which belong to the most commonly used components in ML architectures, especially in convolutional neural networks but also in recurrent neural networks or transformers, and therefore have a major impact on the overall performance. Our approach is based on a generalized form of structured randomness that speeds up convolutions in a fast online phase. The structured randomness is generated with homomorphic encryption using adapted and newly constructed packing methods for convolutions, which might be of independent interest. Overall our protocols extend the state-of-the-art Overdrive family of protocols (Keller et al., EUROCRYPT 2018). We implemented our protocols on-top of MP-SPDZ (Keller, CCS 2020) resulting in a full-featured implementation with support for faster convolutions. Our evaluation shows that our protocols outperform state-of-the-art actively secure MPC protocols on ML tasks like evaluating ResNet50 by a factor of 3 or more. Benchmarks for depthwise convolutions show order-of-magnitude speed-ups compared to existing approaches.

Abstract

Machine learning (ML) has seen a strong rise in popularity in recent years and has become an essential tool for research and industrial applications. Given the large amount of high quality data needed and the often sensitive nature of ML data, privacy-preserving collaborative ML is of increasing importance. In this paper, we introduce new actively secure multiparty computation (MPC) protocols which are specially optimized for privacy-preserving machine learning applications. We concentrate on the optimization of (tensor) convolutions which belong to the most commonly used components in ML architectures, especially in convolutional neural networks but also in recurrent neural networks or transformers, and therefore have a major impact on the overall performance. Our approach is based on a generalized form of structured randomness that speeds up convolutions in a fast online phase. The structured randomness is generated with homomorphic encryption using adapted and newly constructed packing methods for convolutions, which might be of independent interest. Overall our protocols extend the state-of-the-art Overdrive family of protocols (Keller et al., EUROCRYPT 2018). We implemented our protocols on-top of MP-SPDZ (Keller, CCS 2020) resulting in a full-featured implementation with support for faster convolutions. Our evaluation shows that our protocols outperform state-of-the-art actively secure MPC protocols on ML tasks like evaluating ResNet50 by a factor of 3 or more. Benchmarks for depthwise convolutions show order-of-magnitude speed-ups compared to existing approaches.

Abstract

Accountability is a well-established and widely used security concept that allows for obtaining undeniable cryptographic proof of misbehavior, thereby incentivizing honest behavior. There already exist several general purpose accountability frameworks for formal game-based security analyses. Unfortunately, such game-based frameworks do not support modular security analyses, which is an important tool to handle the complexity of modern protocols. Universal composability (UC) models provide native support for modular analyses, including re-use and composition of security results. So far, accountability has mainly been modeled and analyzed in UC models for the special case of MPC protocols, with a general purpose accountability framework for UC still missing. That is, a framework that among others supports arbitrary protocols, a wide range of accountability properties, handling and mixing of accountable and non-accountable security properties, and modular analysis of accountable protocols. To close this gap, we propose AUC, the first general purpose accountability framework for UC models, which supports all of the above, based on several new concepts. We exemplify AUC in three case studies not covered by existing works. In particular, AUC unifies existing UC accountability approaches within a single framework.

Abstract

Some of the most efficient protocols for Multi-Party Computation (MPC) follow a two-phase approach where correlated randomness, in particular Beaver triples, is generated in the offline phase and then used to speed up the online phase. Recently, more complex correlations have been introduced to optimize certain operations even further, such as matrix triples for matrix multiplications. In this paper, our goal is to improve the efficiency of the triple generation in general and in particular for classical field values as well as matrix operations. To this end, we modify the Overdrive LowGear protocol to remove the costly sacrificing step and therewith reduce the round complexity and the bandwidth. We extend the state-of- the-art MP-SPDZ implementation with our new protocols and show that the new offline phase outperforms state-of-the-art protocols for the generation of Beaver triples and matrix triples. For example, we save 33 % in bandwidth compared to Overdrive LowGear.

Abstract

Some of the most efficient protocols for Multi-Party Computation (MPC) follow a two-phase approach where correlated randomness, in particular Beaver triples, is generated in the offline phase and then used to speed up the online phase. Recently, more complex correlations have been introduced to optimize certain operations even further, such as matrix triples for matrix multiplications. In this paper, our goal is to improve the efficiency of the triple generation in general and in particular for classical field values as well as matrix operations. To this end, we modify the Overdrive LowGear protocol to remove the costly sacrificing step and therewith reduce the round complexity and the bandwidth. We extend the state-of- the-art MP-SPDZ implementation with our new protocols and show that the new offline phase outperforms state-of-the-art protocols for the generation of Beaver triples and matrix triples. For example, we save 33 % in bandwidth compared to Overdrive LowGear.

Abstract

Accountability is a well-established and widely used security concept that allows for obtaining undeniable cryptographic proof of misbehavior, thereby incentivizing honest behavior. There already exist several general purpose accountability frameworks for formal game-based security analyses. Unfortunately, such game-based frameworks do not support modular security analyses, which is an important tool to handle the complexity of modern protocols. Universal composability (UC) models provide native support for modular analyses, including re-use and composition of security results. So far, accountability has mainly been modeled and analyzed in UC models for the special case of MPC protocols, with a general purpose accountability framework for UC still missing. That is, a framework that among others supports arbitrary protocols, a wide range of accountability properties, handling and mixing of accountable and non-accountable security properties, and modular analysis of accountable protocols. To close this gap, we propose AUC, the first general purpose accountability framework for UC models, which supports all of the above, based on several new concepts. We exemplify AUC in three case studies not covered by existing works. In particular, AUC unifies existing UC accountability approaches within a single framework.

Abstract

Gaze estimation methods have significantly matured in recent years but the large number of eye images required to train deep learning models poses significant privacy risks. In addition, the heterogeneous data distribution across different users can significantly hinder the training process. In this work, we propose the first federated learning approach for gaze estimation to preserve the privacy of gaze data. We further employ pseudo-gradients optimisation to adapt our federated learning approach to the divergent model updates to address the heterogeneous nature of in-the-wild gaze data in collaborative setups. We evaluate our approach on a real-world dataset (MPIIGaze dataset) and show that our work enhances the privacy guarantees of conventional appearance-based gaze estimation methods, handles the convergence issues of gaze estimators, and significantly outperforms vanilla federated learning by 15.8 % (from a mean error of 10.83 degrees to 8.95 degrees). As such, our work paves the way to develop privacy-aware collaborative learning setups for gaze estimation while maintaining the model's performance.

Abstract

Gaze estimation methods have significantly matured in recent years but the large number of eye images required to train deep learning models poses significant privacy risks. In addition, the heterogeneous data distribution across different users can significantly hinder the training process. In this work, we propose the first federated learning approach for gaze estimation to preserve the privacy of gaze data. We further employ pseudo-gradients optimisation to adapt our federated learning approach to the divergent model updates to address the heterogeneous nature of in-the-wild gaze data in collaborative setups. We evaluate our approach on a real-world dataset (MPIIGaze dataset) and show that our work enhances the privacy guarantees of conventional appearance-based gaze estimation methods, handles the convergence issues of gaze estimators, and significantly outperforms vanilla federated learning by 15.8 % (from a mean error of 10.83 degrees to 8.95 degrees). As such, our work paves the way to develop privacy-aware collaborative learning setups for gaze estimation while maintaining the model's performance.

Abstract

Elections are an important corner stone of democratic processes. In addition to publishing the final result (e.g., the overall winner), elections typically publish the full tally consisting of all (aggregated) individual votes. This causes several issues, including loss of privacy for both voters and election candidates as well as so-called Italian attacks that allow for easily coercing voters. Several e-voting systems have been proposed to address these issues by hiding (parts of) the tally. This property is called tally-hiding. Existing tally-hiding e-voting systems in the literature aim at hiding (part of) the tally from everyone, including voting authorities, while at the same time offering verifiability, an important and standard feature of modern e-voting systems which allows voters and external observers to check that the published election result indeed corresponds to how voters actually voted. In contrast, real elections often follow a different common practice for hiding the tally: the voting authorities internally compute (and learn) the full tally but publish only the final result (e.g., the winner). This practice, which we coin publicly tally-hiding, indeed solves the aforementioned issues for the public, but currently has to sacrifice verifiability due to a lack of practical systems. In this paper, we close this gap. We formalize the common notion of publicly tally-hiding and propose the first provably secure verifiable e-voting system, called Kryvos, which directly targets publicly tally-hiding elections. We instantiate our system for a wide range of both simple and complex voting methods and various result functions. We provide an extensive evaluation which shows that Kryvos is practical and able to handle a large number of candidates, complex voting methods and result functions. Altogether, Kryvos shows that the concept of publicly tally-hiding offers a new trade-off between privacy and efficiency that is different from all previous tally-hiding systems and which allows for a radically new protocol design resulting in a practical e-voting system.

Abstract

Elections are an important corner stone of democratic processes. In addition to publishing the final result (e.g., the overall winner), elections typically publish the full tally consisting of all (aggregated) individual votes. This causes several issues, including loss of privacy for both voters and election candidates as well as so-called Italian attacks that allow for easily coercing voters. Several e-voting systems have been proposed to address these issues by hiding (parts of) the tally. This property is called tally-hiding. Existing tally-hiding e-voting systems in the literature aim at hiding (part of) the tally from everyone, including voting authorities, while at the same time offering verifiability, an important and standard feature of modern e-voting systems which allows voters and external observers to check that the published election result indeed corresponds to how voters actually voted. In contrast, real elections often follow a different common practice for hiding the tally: the voting authorities internally compute (and learn) the full tally but publish only the final result (e.g., the winner). This practice, which we coin publicly tally-hiding, indeed solves the aforementioned issues for the public, but currently has to sacrifice verifiability due to a lack of practical systems. In this paper, we close this gap. We formalize the common notion of publicly tally-hiding and propose the first provably secure verifiable e-voting system, called Kryvos, which directly targets publicly tally-hiding elections. We instantiate our system for a wide range of both simple and complex voting methods and various result functions. We provide an extensive evaluation which shows that Kryvos is practical and able to handle a large number of candidates, complex voting methods and result functions. Altogether, Kryvos shows that the concept of publicly tally-hiding offers a new trade-off between privacy and efficiency that is different from all previous tally-hiding systems and which allows for a radically new protocol design resulting in a practical e-voting system.

Abstract

The paper summarizes the technical report Be21 which was published in 2021. The aim of the paper is to summarize and critically discuss the situation in Germany concerning electronic voting.

Abstract

Universal Composability is a widely used concept for the design and analysis of protocols. Since Canetti's original UC model and the model by Pfitzmann and Waidner several different models for universal composability have been proposed, including, for example, the IITM model, GNUC, CC, but also extensions and restrictions of the UC model, such as JUC, GUC, and SUC. These were motivated by the lack of expressivity of existing models, ease of use, or flaws in previous models. Cryptographers choose between these models based on their needs at hand (e.g., support for joint state and global state) or simply their familiarity with a specific model. While all models follow the same basic idea, there are huge conceptually differences, which raises fundamental and practical questions: (How) do the concepts and results proven in one model relate to those in another model? Do the different models and the security notions formulated therein capture the same classes of attacks? Most importantly, can cryptographers re-use results proven in one model in another model, and if so, how? In this paper, we initiate a line of research with the aim to address this lack of understanding, consolidate the space of models, and enable cryptographers to re-use results proven in other models. As a start, here we focus on Canetti's prominent UC model and the IITM model proposed by Kuesters et al. The latter is an interesting candidate for comparison with the UC model since it has been used to analyze a wide variety of protocols, supports a very general protocol class and provides, among others, seamless treatment of protocols with shared state, including joint and global state. Our main technical contribution is an embedding of the UC model into the IITM model showing that all UC protocols, security and composition results carry over to the IITM model. Hence, protocol designers can profit from the features of the IITM model while being able to use all their results proven in the UC model. We also show that, in general, one cannot embed the full IITM model into the UC model.

Abstract

Universal Composability is a widely used concept for the design and analysis of protocols. Since Canetti's original UC model and the model by Pfitzmann and Waidner several different models for universal composability have been proposed, including, for example, the IITM model, GNUC, CC, but also extensions and restrictions of the UC model, such as JUC, GUC, and SUC. These were motivated by the lack of expressivity of existing models, ease of use, or flaws in previous models. Cryptographers choose between these models based on their needs at hand (e.g., support for joint state and global state) or simply their familiarity with a specific model. While all models follow the same basic idea, there are huge conceptually differences, which raises fundamental and practical questions: (How) do the concepts and results proven in one model relate to those in another model? Do the different models and the security notions formulated therein capture the same classes of attacks? Most importantly, can cryptographers re-use results proven in one model in another model, and if so, how? In this paper, we initiate a line of research with the aim to address this lack of understanding, consolidate the space of models, and enable cryptographers to re-use results proven in other models. As a start, here we focus on Canetti's prominent UC model and the IITM model proposed by Kuesters et al. The latter is an interesting candidate for comparison with the UC model since it has been used to analyze a wide variety of protocols, supports a very general protocol class and provides, among others, seamless treatment of protocols with shared state, including joint and global state. Our main technical contribution is an embedding of the UC model into the IITM model showing that all UC protocols, security and composition results carry over to the IITM model. Hence, protocol designers can profit from the features of the IITM model while being able to use all their results proven in the UC model. We also show that, in general, one cannot embed the full IITM model into the UC model.

Abstract

Some of the most efficient protocols for Multi-Party Computation (MPC) use a two-phase approach where correlated randomness, in particular Beaver triples, is generated in the offline phase and then used to speed up the online phase. Recently, more complex correlations have been introduced to optimize certain operations even further, such as matrix triples for matrix multiplications. In this paper, our goal is to speed up the evaluation of multivariate polynomials and therewith of whole arithmetic circuits in the online phase. To this end, we introduce a new form of correlated randomness: arithmetic tuples. Arithmetic tuples can be fine tuned in various ways to the constraints of application at hand, in terms of round complexity, bandwidth, and tuple size. We show that for many real-world setups an arithmetic tuples based online phase outperforms state-of-the-art protocols based on Beaver triples.

Abstract

In recent years, lattice-based secure multi-party computation (MPC) has seen a rise in popularity and is used more and more in large scale applications like privacy-preserving cloud computing, electronic voting, or auctions. Many of these applications come with the following high security requirements: a computation result should be publicly verifiable, with everyone being able to identify a malicious party and hold it accountable, and a malicious party should not be able to corrupt the computation, force a protocol restart, or block honest parties or an honest third-party (client) that provided private inputs from receiving a correct result. The protocol should guarantee verifiability and accountability even if all protocol parties are malicious. While some protocols address one or two of these often essential security features, we present the first publicly verifiable and accountable, and (up to a threshold) robust SPDZ-like MPC protocol without restart. We propose protocols for accountable and robust online, offline, and setup computations. We adapt and partly extend the lattice-based commitment scheme by Baum et al. (SCN 2018) as well as other primitives like ZKPs. For the underlying commitment scheme and the underlying BGV encryption scheme we determine ideal parameters. We give a performance evaluation of our protocols and compare them to state-of-the-art protocols both with and without our target security features: public accountability, public verifiability and robustness.

Abstract

In recent years, lattice-based secure multi-party computation (MPC) has seen a rise in popularity and is used more and more in large scale applications like privacy-preserving cloud computing, electronic voting, or auctions. Many of these applications come with the following high security requirements: a computation result should be publicly verifiable, with everyone being able to identify a malicious party and hold it accountable, and a malicious party should not be able to corrupt the computation, force a protocol restart, or block honest parties or an honest third-party (client) that provided private inputs from receiving a correct result. The protocol should guarantee verifiability and accountability even if all protocol parties are malicious. While some protocols address one or two of these often essential security features, we present the first publicly verifiable and accountable, and (up to a threshold) robust SPDZ-like MPC protocol without restart. We propose protocols for accountable and robust online, offline, and setup computations. We adapt and partly extend the lattice-based commitment scheme by Baum et al. (SCN 2018) as well as other primitives like ZKPs. For the underlying commitment scheme and the underlying BGV encryption scheme we determine ideal parameters. We give a performance evaluation of our protocols and compare them to state-of-the-art protocols both with and without our target security features: public accountability, public verifiability and robustness.

Abstract

Test methods that can keep up with the ongoing increase in complexity of semiconductor products and their underlying technologies are an essential prerequisite for maintaining quality and safety of our daily lives and for continued success of our economies and societies. There is a huge potential how test methods can benefit from recent breakthroughs in domains such as artificial intelligence, data analytics, virtual/augmented reality, and security. The Graduate School on “Intelligent Methods for Semiconductor Test and Reliability” (GS-IMTR) at the University of Stuttgart is a large-scale, radically interdisciplinary effort to address the scientific-technological challenges in this domain. It is funded by Advantest, one of the world leaders in automatic test equipment. In this paper, we describe the overall philosophy of the Graduate School and the specific scientific questions targeted by its ten projects.

Abstract

Payment is an essential part of e-commerce. Merchants usually rely on third-parties, so-called payment processors, who take care of transferring the payment from the customer to the merchant. How a payment processor interacts with the customer and the merchant varies a lot. Each payment processor typically invents its own protocol that has to be integrated into the merchant's application and provides the user with a new, potentially unknown and confusing user experience. Pushed by major companies, including Apple, Google, Mastercard, and Visa, the W3C is currently developing a new set of standards to unify the online checkout process and "streamline the user's payment experience". The main idea is to integrate payment as a native functionality into web browsers, referred to as the Web Payment APIs. While this new checkout process will indeed be simple and convenient from an end-user perspective, the technical realization requires rather significant changes to browsers. Many major browsers, such as Chrome, Firefox, Edge, Safari, and Opera, already implement these new standards, and many payment processors, such as Google Pay, Apple Pay, or Stripe, support the use of Web Payment APIs for payments. The ecosystem is constantly growing, meaning that the Web Payment APIs will likely be used by millions of people worldwide. So far, there has been no in-depth security analysis of these new standards. In this paper, we present the first such analysis of the Web Payment APIs standards, a rigorous formal analysis. It is based on the Web Infrastructure Model (WIM), the most comprehensive model of the web infrastructure to date, which, among others, we extend to integrate the new payment functionality into the generic browser model. Our analysis reveals two new critical vulnerabilities that allow a malicious merchant to over-charge an unsuspecting customer. We have verified our attacks using the Chrome implementation and reported these problems to the W3C as well as the Chrome developers, who have acknowledged these problems. Moreover, we propose fixes to the standard, which by now have been adopted by the W3C and Chrome, and prove that the fixed Web Payment APIs indeed satisfy strong security properties.

Abstract

The ACME certificate issuance and management protocol, standardized as IETF RFC 8555, is an essential element of the web public key infrastructure (PKI). It has been used by Let's Encrypt and other certification authorities to issue over a billion certificates, and a majority of HTTPS connections are now secured with certificates issued through ACME. Despite its importance, however, the security of ACME has not been studied at the same level of depth as other protocol standards like TLS 1.3 or OAuth. Prior formal analyses of ACME only considered the cryptographic core of early draft versions of ACME, ignoring many security-critical low-level details that play a major role in the 100 page RFC, such as recursive data structures, long-running sessions with asynchronous sub-protocols, and the issuance for certificates that cover multiple domains.We present the first in-depth formal security analysis of the ACME standard. Our model of ACME is executable and comprehensive, with a level of detail that lets our ACME client interoperate with other ACME servers. We prove the security of this model using a recent symbolic protocol analysis framework called DY⋆, which in turn is based on the F⋆ programming language. Our analysis accounts for all prior attacks on ACME in the literature, including both cryptographic attacks and low-level attacks on stateful protocol execution. To analyze ACME, we extend DY* with authenticated channels, key substitution attacks, and a concrete execution framework, which are of independent interest. Our security analysis of ACME totaling over 16,000 lines of code is one of the largest proof developments for a cryptographic protocol standard in the literature, and it serves to provide formal security assurances for a crucial component of web security.

Abstract

Seit Beginn der Pandemie stehen viele Institutionen (inkl. Vereinen, Unternehmen und Behörden) vor der Frage, wie sie ihre Wahlen und geheimen Abstimmungen organisieren sollen – ohne die Gesundheit der Wähler*innen und Wahlhelfer*innen zu gefährden. Einige Wahlverantwortliche haben sich für die Durchführung von Online-Wahlen bzw. digitalen Abstimmungen entschieden. Erfahrungen anderer Wahlverantwortlicher, die bereits vor der Pandemie online gewählt haben, ab es in Deutschland kaum. Vor der Pandemie wurde das Thema Online-Wahlen in Deutschland – bedingt durch das sogenannte Wahlgeräte-Urteil des Bundesverfassungsgerichts (2009) – kaum diskutiert. Nach über einem Jahr Pandemie sieht die Lage anders aus: Inzwischen fanden einige Wahlen und Abstimmungen online statt. Allerdings entsprechen die dazu eingesetzten Systeme häufig nicht dem Stand der Forschung. Für zukünftige Nutzungen von Online-Wahlen und digitalen Abstimmungen (insbesondere auch nach der Pandemie) ist es daher wichtig, dass Wahlverantwortliche, Kandidat*innen und Wähler*innen verstehen, welches Risiko die bisher eingesetzten Systeme mit sich bringen und wie einzelne Entwicklungen im Kontext von Online-Wahlen und digitalen Abstimmungen einzuordnen sind. Nur so können informierte Entscheidungen im Hinblick auf die einzusetzenden Ansätze getroffen und die Demokratie auch in Zukunft geschützt werden.

Abstract

In the past few years blockchains have been a major focus for security research, resulting in significant progress in the design, formalization, and analysis of blockchain protocols. However, the more general class of distributed ledgers, which includes not just blockchains but also prominent non-blockchain protocols, such as Corda and OmniLedger, cannot be covered by the state-of-the-art in the security literature yet. These distributed ledgers often break with traditional blockchain paradigms, such as block structures to store data, system-wide consensus, or global consistency. In this paper, we close this gap by proposing the first framework for defining and analyzing the security of general distributed ledgers, with an ideal distributed ledger functionality at the core of our contribution. This functionality covers not only classical blockchains but also non-blockchain distributed ledgers in a unified way. To illustrate our ledger functionality, we first show that the prominent ideal blockchain functionalities from Badertscher et al. and its privacy preserving derivative from Kerber et al. realize (suitable instantiations of) our functionality, which precisely captures their security properties. This immediately implies that their respective implementations, including Bitcoin, Ouroboros Genesis, and Ouroboros Crypsinous, realize our ideal ledger functionality as well. Secondly, we demonstrate that our ideal ledger functionality is capable of precisely modeling also non-blockchain distributed ledgers by performing the first formal security analysis of such a distributed ledger, namely the prominent Corda protocol. Due to the wide spread use of Corda in the industry, in particular the financial sector, this analysis is of independent interest. These results also illustrate that our ideal ledger functionality not just generalizes the modular treatment of blockchains to distributed ledgers, but moreover helps to unify existing results.

Abstract

DY* is a recently proposed formal verification framework for the symbolic security analysis of cryptographic protocol code written in the F* programming language. Unlike automated symbolic provers, DY* accounts for advanced protocol features like unbounded loops and mutable recursive data structures as well as low-level implementation details like protocol state machines and message formats, which are often at the root of real-world attacks. Protocols modeled in DY* can be executed, and hence, tested, and they can even interoperate with real-world counterparts. DY* extends a long line of research on using dependent type systems but takes a fundamentally new approach by explicitly modeling the global trace-based semantics within the framework, hence bridging the gap between trace-based and type-based protocol analyses. With this, one can uniformly, precisely, and soundly model, for the first time using dependent types, long-lived mutable protocol state, equational theories, fine-grained dynamic corruption, and trace-based security properties like forward secrecy and post-compromise security. In this paper, we provide a tutorial-style introduction to DY*: We illustrate how to model and prove the security of the ISO-DH protocol, a simple key exchange protocol based on Diffie-Hellman.

Abstract

Modern electronic voting systems (e-voting systems) are designed to achieve a variety of security properties, such as verifiability, accountability, and vote privacy. Some of these systems aim at so-called tally-hiding: they compute the election result, according to some result function, like the winner of the election, without revealing any other information to any party. In particular, if desired, they neither reveal the full tally consisting of all (aggregated or even individual) votes nor parts of it, except for the election result, according to the result function. Tally-hiding systems offer many attractive features, such as strong privacy guarantees both for voters and for candidates, and protection against Italian attacks. The Ordinos system is a recent provably secure framework for accountable tally-hiding e-voting that extends Helios and can be instantiated for various election methods and election result functions. So far, practical instantiations and implementations for only rather simple result functions (e.g., computing the k best candidates) and single/multi-vote elections have been developed for Ordinos. In this paper, we propose and implement several new Ordinos instantiations in order to support Borda voting, the Hare-Niemeyer method for proportional representation, multiple Condorcet methods, and Instant-Runoff Voting. Our instantiations, which are based on suitable secure multi-party computation (MPC) components, offer the first tally-hiding implementations for these voting methods. To evaluate the practicality of our MPC components and the resulting e-voting systems, we provide extensive benchmarks for all our implementations.

Abstract

Modern electronic voting systems (e-voting systems) are designed to achieve a variety of security properties, such as verifiability, accountability, and vote privacy. Some of these systems aim at so-called tally-hiding: they compute the election result, according to some result function, like the winner of the election, without revealing any other information to any party. In particular, if desired, they neither reveal the full tally consisting of all (aggregated or even individual) votes nor parts of it, except for the election result, according to the result function. Tally-hiding systems offer many attractive features, such as strong privacy guarantees both for voters and for candidates, and protection against Italian attacks. The Ordinos system is a recent provably secure framework for accountable tally-hiding e-voting that extends Helios and can be instantiated for various election methods and election result functions. So far, practical instantiations and implementations for only rather simple result functions (e.g., computing the k best candidates) and single/multi-vote elections have been developed for Ordinos. In this paper, we propose and implement several new Ordinos instantiations in order to support Borda voting, the Hare-Niemeyer method for proportional representation, multiple Condorcet methods, and Instant-Runoff Voting. Our instantiations, which are based on suitable secure multi-party computation (MPC) components, offer the first tally-hiding implementations for these voting methods. To evaluate the practicality of our MPC components and the resulting e-voting systems, we provide extensive benchmarks for all our implementations.

Abstract

Payment is an essential part of e-commerce. Merchants usually rely on third-parties, so-called payment processors, who take care of transferring the payment from the customer to the merchant. How a payment processor interacts with the customer and the merchant varies a lot. Each payment processor typically invents its own protocol that has to be integrated into the merchant’s application and provides the user with a new, potentially unknown and confusing user experience. Pushed by major companies, including Apple, Google, Mastercard, and Visa, the W3C is currently developing a new set of standards to unify the online checkout process and “streamline the user’s payment experience”. The main idea is to integrate payment as a native functionality into web browsers, referred to as the Web Payment APIs. While this new checkout process will indeed be simple and convenient from an end-user perspective, the technical realization requires rather significant changes to browsers. Many major browsers, such as Chrome, Firefox, Edge, Safari, and Opera, already implement these new standards, and many payment processors, such as Google Pay, Apple Pay, or Stripe, support the use of Web Payment APIs for payments. The ecosystem is constantly growing, meaning that the Web Payment APIs will likely be used by millions of people worldwide. So far, there has been no in-depth security analysis of these new standards. In this paper, we present the first such analysis of the Web Payment APIs standards, a rigorous formal analysis. It is based on the Web Infrastructure Model (WIM), the most comprehensive model of the web infrastructure to date, which, among others, we extend to integrate the new payment functionality into the generic browser model. Our analysis reveals two new critical vulnerabilities that allow a malicious merchant to over-charge an unsuspecting customer. We have verified our attacks using the Chrome implementation and reported these problems to the W3C as well as the Chrome developers, who have acknowledged these problems. Moreover, we propose fixes to the standard, which by now have been adopted by the W3C and Chrome, and prove that the fixed Web Payment APIs indeed satisfy strong security properties.

Abstract

The ACME certificate issuance and management protocol, standardized as IETF RFC 8555, is an essential element of the web public key infrastructure (PKI). It has been used by Let's Encrypt and other certification authorities to issue over a billion certificates, and a majority of HTTPS connections are now secured with certificates issued through ACME. Despite its importance, however, the security of ACME has not been studied at the same level of depth as other protocol standards like TLS 1.3 or OAuth. Prior formal analyses of ACME only considered the cryptographic core of early draft versions of ACME, ignoring many security-critical low-level details that play a major role in the 100 page RFC, such as recursive data structures, long-running sessions with asynchronous sub-protocols, and the issuance for certificates that cover multiple domains.We present the first in-depth formal security analysis of the ACME standard. Our model of ACME is executable and comprehensive, with a level of detail that lets our ACME client interoperate with other ACME servers. We prove the security of this model using a recent symbolic protocol analysis framework called DY⋆, which in turn is based on the F⋆ programming language. Our analysis accounts for all prior attacks on ACME in the literature, including both cryptographic attacks and low-level attacks on stateful protocol execution. To analyze ACME, we extend DY* with authenticated channels, key substitution attacks, and a concrete execution framework, which are of independent interest. Our security analysis of ACME totaling over 16,000 lines of code is one of the largest proof developments for a cryptographic protocol standard in the literature, and it serves to provide formal security assurances for a crucial component of web security.

Abstract

We present DY*, a new formal verification framework for the symbolic security analysis of cryptographic protocol code written in the F* programming language. Unlike automated symbolic provers, our framework accounts for advanced protocol features like unbounded loops and mutable recursive data structures, as well as low-level implementation details like protocol state machines and message formats, which are often at the root of real-world attacks. Our work extends a long line of research on using dependent type systems for this task, but takes a fundamentally new approach by explicitly modeling the global trace-based semantics within the framework, hence bridging the gap between trace-based and type-based protocol analyses. This approach enables us to uniformly, precisely, and soundly model, for the first time using dependent types, long-lived mutable protocol state, equational theories, fine-grained dynamic corruption, and trace-based security properties like forward secrecy and post-compromise security. DY* is built as a library of F* modules that includes a model of low-level protocol execution, a Dolev-Yao symbolic attacker, and generic security abstractions and lemmas, all verified using F*. The library exposes a high-level API that facilitates succinct security proofs for protocol code. We demonstrate the effectiveness of this approach through a detailed symbolic security analysis of the Signal protocol that is based on an interoperable implementation of the protocol from prior work, and is the first mechanized proof of Signal to account for forward and post-compromise security over an unbounded number of protocol rounds.

Abstract

In the past few years blockchains have been a major focus for security research, resulting in significant progress in the design, formalization, and analysis of blockchain protocols. However, the more general class of distributed ledgers, which includes not just blockchains but also prominent non-blockchain protocols, such as Corda and OmniLedger, cannot be covered by the state-of-the-art in the security literature yet. These distributed ledgers often break with traditional blockchain paradigms, such as block structures to store data, system-wide consensus, or global consistency. In this paper, we close this gap by proposing the first framework for defining and analyzing the security of general distributed ledgers, with an ideal distributed ledger functionality at the core of our contribution. This functionality covers not only classical blockchains but also non-blockchain distributed ledgers in a unified way. To illustrate our ledger functionality, we first show that the prominent ideal blockchain functionalities from Badertscher et al. and its privacy preserving derivative from Kerber et al. realize (suitable instantiations of) our functionality, which precisely captures their security properties. This immediately implies that their respective implementations, including Bitcoin, Ouroboros Genesis, and Ouroboros Crypsinous, realize our ideal ledger functionality as well. Secondly, we demonstrate that our ideal ledger functionality is capable of precisely modeling also non-blockchain distributed ledgers by performing the first formal security analysis of such a distributed ledger, namely the prominent Corda protocol. Due to the wide spread use of Corda in the industry, in particular the financial sector, this analysis is of independent interest. These results also illustrate that our ideal ledger functionality not just generalizes the modular treatment of blockchains to distributed ledgers, but moreover helps to unify existing results.

Abstract

Composition theorems in simulation-based approaches allow to build complex protocols from sub-protocols in a modular way. However, as first pointed out and studied by Canetti and Rabin, this modular approach often leads to impractical implementations. For example, when using a functionality for digital signatures within a more complex protocol, parties have to generate new verification and signing keys for every session of the protocol. This motivates to generalize composition theorems to so-called joint state theorems, where different copies of a functionality may share some state, e.g., the same verification and signing keys. In this paper, we present a joint state theorem which is more general than the original theorem of Canetti and Rabin, for which several problems and limitations are pointed out. We apply our theorem to obtain joint state realizations for three functionalities: public-key encryption, replayable public-key encryption, and digital signatures. Unlike most other formulations, our functionalities model that ciphertexts and signatures are computed locally, rather than being provided by the adversary. To obtain the joint state realizations, the functionalities have to be designed carefully. Other formulations are shown to be unsuitable. Our work is based on a recently proposed, rigorous model for simulation-based security by Küsters, called the IITM model. Our definitions and results demonstrate the expressivity and simplicity of this model. For example, unlike Canetti's UC model, in the IITM model no explicit joint state operator needs to be defined and the joint state theorem follows immediately from the composition theorem in the IITM model.

Abstract

The universal composability paradigm allows for the modular design and analysis of cryptographic protocols. It has been widely and successfully used in cryptography. However, devising a coherent yet simple and expressive model for universal composability is, as the history of such models shows, highly non-trivial. For example, several partly severe problems have been pointed out in the literature for the UC model. In this work, we propose a coherent model for universal composability, called the IITM model (``Inexhaustible Interactive Turing Machine''). A main feature of the model is that it is stated without a priori fixing irrelevant details, such as a specific way of addressing of machines by session and party identifiers, a specific modeling of corruption, or a specific protocol hierarchy. In addition, we employ a very general notion of runtime. All reasonable protocols and ideal functionalities should be expressible based on this notion in a direct and natural way, and without tweaks, such as (artificial) padding of messages or (artificially) adding extra messages. Not least because of these features, the model is simple and expressive. Also the general results that we prove, such as composition theorems, hold independently of how such details are fixed for concrete applications. Being inspired by other models for universal composability, in particular the UC model and because of the flexibility and expressivity of the IITM model, conceptually, results formulated in these models directly carry over to the IITM model.

Abstract

While accountability is a well-known concept in distributed systems and cryptography, in the literature on blockchains (and, more generally, distributed ledgers) the formal treatment of accountability has been a blind spot: there does not exist a formalization let alone a formal proof of accountability for any blockchain yet. Therefore, in this work we put forward and propose a formal treatment of accountability in this domain. Our goal is to formally state and prove that if in a run of a blockchain a central security property, such as consistency, is not satisfied, then misbehaving parties can be identified and held accountable. Accountability is particularly useful for permissioned blockchains where all parties know each other, and hence, accountability incentivizes all parties to behave honestly. We exemplify our approach for one of the most prominent permissioned blockchains: Hyperledger Fabric in its most common instantiation.

Abstract

While accountability is a well-known concept in distributed systems and cryptography, in the literature on blockchains (and, more generally, distributed ledgers) the formal treatment of accountability has been a blind spot: there does not exist a formalization let alone a formal proof of accountability for any blockchain yet. Therefore, in this work we put forward and propose a formal treatment of accountability in this domain. Our goal is to formally state and prove that if in a run of a blockchain a central security property, such as consistency, is not satisfied, then misbehaving parties can be identified and held accountable. Accountability is particularly useful for permissioned blockchains where all parties know each other, and hence, accountability incentivizes all parties to behave honestly. We exemplify our approach for one of the most prominent permissioned blockchains: Hyperledger Fabric in its most common instantiation.

Abstract

Modern electronic voting systems (e-voting systems) are designed to provide not only vote privacy but also (end-to-end) verifiability. Several verifiable e-voting systems have been proposed in the literature, with Helios being one of the most prominent ones. Almost all such systems, however, reveal not just the voting result but also the full tally, consisting of the exact number of votes per candidate or even all single votes. There are several situations where this is undesirable. For example, in elections with only a few voters (e.g., boardroom or jury votings), revealing the complete tally leads to a low privacy level, possibly deterring voters from voting for their actual preference. In other cases, revealing the complete tally might unnecessarily embarrass some candidates. Often, the voting result merely consists of a single winner or a ranking of candidates, so revealing only this information but not the complete tally is sufficient. This property is called tally-hiding and it offers completely new options for e-voting. In this paper, we propose the first provably secure end-to-end verifiable tally-hiding e-voting system, called Ordinos. We instantiated our system with suitable cryptographic primitives, including an MPC protocol for greater-than tests, implemented the system, and evaluated its performance, demonstrating its practicality. Moreover, our work provides a deeper understanding of tally-hiding in general, in particular in how far tally-hiding affects the levels of privacy and verifiability of e-voting systems.

Abstract

Modern electronic voting systems (e-voting systems) are designed to provide not only vote privacy but also (end-to-end) verifiability. Several verifiable e-voting systems have been proposed in the literature, with Helios being one of the most prominent ones. Almost all such systems, however, reveal not just the voting result but also the full tally, consisting of the exact number of votes per candidate or even all single votes. There are several situations where this is undesirable. For example, in elections with only a few voters (e.g., boardroom or jury votings), revealing the complete tally leads to a low privacy level, possibly deterring voters from voting for their actual preference. In other cases, revealing the complete tally might unnecessarily embarrass some candidates. Often, the voting result merely consists of a single winner or a ranking of candidates, so revealing only this information but not the complete tally is sufficient. This property is called tally-hiding and it offers completely new options for e-voting. In this paper, we propose the first provably secure end-to-end verifiable tally-hiding e-voting system, called Ordinos. We instantiated our system with suitable cryptographic primitives, including an MPC protocol for greater-than tests, implemented the system, and evaluated its performance, demonstrating its practicality. Moreover, our work provides a deeper understanding of tally-hiding in general, in particular in how far tally-hiding affects the levels of privacy and verifiability of e-voting systems.

Abstract

This report documents the program and the outcomes of Dagstuhl Seminar 19042 "Practical Yet Composably Secure Cryptographic Protocols". The workshop's main aim was to enhance the community's understanding of (1) what a good model was for how various protocols and systems co-exist in a larger system; (2) how to model important tasks and security protocols in such a model; (3) how to prove security of protocols in such a model.

Abstract

Proving the security of complex protocols is a crucial and very challenging task. A widely used ap- proach for reasoning about such protocols in a modular way is universal composability. Several models for this approach exist, including the UC, GNUC, and IITM models. Despite the wide spread use of the universal composability approach, none of the existing models are fully satisfying. They all lack either soundness, flexibility, or usability. As a result, proofs in the litera- ture are very often formally incorrect, protocols cannot be modeled faithfully, and/or using these models is a burden rather than a help. Given this dire state of affairs, the goal of this work is to provide a framework for universal composability which combines soundness, flexibility, and usability. Developing such a security framework is a very difficult and delicate task, as the long history of frameworks for universal composability shows. As the IITM model appears to be closest to this goal in terms of soundness and flexibility, we build our framework, called iUC, on top of the IITM model. At the core of iUC is a single simple template for spec- ifying essentially arbitrary protocols in a convenient, formally precise, and flexible way, which allows protocol designers to concentrate on the core logic of a protocol. We illustrate the main features of our framework with example functionalities and realizations.

Abstract

Proving the security of complex protocols is a crucial and very challenging task. A widely used ap- proach for reasoning about such protocols in a modular way is universal composability. Several models for this approach exist, including the UC, GNUC, and IITM models. Despite the wide spread use of the universal composability approach, none of the existing models are fully satisfying. They all lack either soundness, flexibility, or usability. As a result, proofs in the litera- ture are very often formally incorrect, protocols cannot be modeled faithfully, and/or using these models is a burden rather than a help. Given this dire state of affairs, the goal of this work is to provide a framework for universal composability which combines soundness, flexibility, and usability. Developing such a security framework is a very difficult and delicate task, as the long history of frameworks for universal composability shows. As the IITM model appears to be closest to this goal in terms of soundness and flexibility, we build our framework, called iUC, on top of the IITM model. At the core of iUC is a single simple template for spec- ifying essentially arbitrary protocols in a convenient, formally precise, and flexible way, which allows protocol designers to concentrate on the core logic of a protocol. We illustrate the main features of our framework with example functionalities and realizations.

Abstract

Forced by regulations and industry demand, banks worldwide are working to open their customers' online banking accounts to third-party services via web-based APIs. By using these so-called Open Banking APIs, third-party companies, such as FinTechs, are able to read information about and initiate payments from their users' bank accounts. Such access to financial data and resources needs to meet particularly high security requirements to protect customers. One of the most promising standards in this segment is the OpenID Financial-grade API (FAPI), currently under development in an open process by the OpenID Foundation and backed by large industry partners. The FAPI is a profile of OAuth 2.0 designed for high-risk scenarios and aiming to be secure against very strong attackers. To achieve this level of security, the FAPI employs a range of mechanisms that have been developed to harden OAuth 2.0, such as Code and Token Binding (including mTLS and OAUTB), JWS Client Assertions, and Proof Key for Code Exchange. In this paper, we perform a rigorous, systematic formal analysis of the security of the FAPI, based on an existing comprehensive model of the web infrastructure - the Web Infrastructure Model (WIM) proposed by Fett, Küsters, and Schmitz. To this end, we first develop a precise model of the FAPI in the WIM, including different profiles for read-only and read-write access, different flows, different types of clients, and different combinations of security features, capturing the complex interactions in a web-based environment. We then use our model of the FAPI to precisely define central security properties. In an attempt to prove these properties, we uncover partly severe attacks, breaking authentication, authorization, and session integrity properties. We develop mitigations against these attacks and finally are able to formally prove the security of a fixed version of the FAPI. Although financial applications are high-stakes environments, this work is the first to formally analyze and, importantly, verify an Open Banking security profile. By itself, this analysis is an important contribution to the development of the FAPI since it helps to define exact security properties and attacker models, and to avoid severe security risks before the first implementations of the standard go live. Of independent interest, we also uncover weaknesses in the aforementioned security mechanisms for hardening OAuth 2.0. We illustrate that these mechanisms do not necessarily achieve the security properties they have been designed for.

Abstract

Forced by regulations and industry demand, banks worldwide are working to open their customers' online banking accounts to third-party services via web-based APIs. By using these so-called Open Banking APIs, third-party companies, such as FinTechs, are able to read information about and initiate payments from their users' bank accounts. Such access to financial data and resources needs to meet particularly high security requirements to protect customers. One of the most promising standards in this segment is the OpenID Financial-grade API (FAPI), currently under development in an open process by the OpenID Foundation and backed by large industry partners. The FAPI is a profile of OAuth 2.0 designed for high-risk scenarios and aiming to be secure against very strong attackers. To achieve this level of security, the FAPI employs a range of mechanisms that have been developed to harden OAuth 2.0, such as Code and Token Binding (including mTLS and OAUTB), JWS Client Assertions, and Proof Key for Code Exchange. In this paper, we perform a rigorous, systematic formal analysis of the security of the FAPI, based on an existing comprehensive model of the web infrastructure - the Web Infrastructure Model (WIM) proposed by Fett, Küsters, and Schmitz. To this end, we first develop a precise model of the FAPI in the WIM, including different profiles for read-only and read-write access, different flows, different types of clients, and different combinations of security features, capturing the complex interactions in a web-based environment. We then use our model of the FAPI to precisely define central security properties. In an attempt to prove these properties, we uncover partly severe attacks, breaking authentication, authorization, and session integrity properties. We develop mitigations against these attacks and finally are able to formally prove the security of a fixed version of the FAPI. Although financial applications are high-stakes environments, this work is the first to formally analyze and, importantly, verify an Open Banking security profile. By itself, this analysis is an important contribution to the development of the FAPI since it helps to define exact security properties and attacker models, and to avoid severe security risks before the first implementations of the standard go live. Of independent interest, we also uncover weaknesses in the aforementioned security mechanisms for hardening OAuth 2.0. We illustrate that these mechanisms do not necessarily achieve the security properties they have been designed for.

Abstract

The universal composability paradigm allows for the modular design and analysis of cryptographic protocols. It has been widely and successfully used in cryptography. However, devising a coherent yet simple and expressive model for universal composability is, as the history of such models shows, highly non-trivial. For example, several partly severe problems have been pointed out in the literature for the UC model. In this work, we propose a coherent model for universal composability, called the IITM model (``Inexhaustible Interactive Turing Machine''). A main feature of the model is that it is stated without a priori fixing irrelevant details, such as a specific way of addressing of machines by session and party identifiers, a specific modeling of corruption, or a specific protocol hierarchy. In addition, we employ a very general notion of runtime. All reasonable protocols and ideal functionalities should be expressible based on this notion in a direct and natural way, and without tweaks, such as (artificial) padding of messages or (artificially) adding extra messages. Not least because of these features, the model is simple and expressive. Also the general results that we prove, such as composition theorems, hold independently of how such details are fixed for concrete applications. Being inspired by other models for universal composability, in particular the UC model and because of the flexibility and expressivity of the IITM model, conceptually, results formulated in these models directly carry over to the IITM model.

Abstract

Rigorous cryptographic security analysis plays an important role in the design of modern e-voting systems by now. There has been huge progress in this field in the last decade or so in terms of formalizing security requirements and formally analyzing e-voting systems. This paper summarizes some of the achievements and lessons learned, which, among others, challenge common believes about the role of and the relationships between central security requirements.

Abstract

Web-based single sign-on (SSO) services such as Google Sign-In and Log In with Paypal are based on the OpenID Connect protocol. This protocol enables so-called relying parties to delegate user authentication to so-called identity providers. OpenID Connect is one of the newest and most widely deployed single sign-on protocols on the web. Despite its importance, it has not received much attention from security researchers so far, and in particular, has not undergone any rigorous security analysis. In this paper, we carry out the first in-depth security analysis of OpenID Connect. To this end, we use a comprehensive generic model of the web to develop a detailed formal model of OpenID Connect. Based on this model, we then precisely formalize and prove central security properties for OpenID Connect, including authentication, authorization, and session integrity properties. In our modeling of OpenID Connect, we employ security measures in order to avoid attacks on OpenID Connect that have been discovered previously and new attack variants that we document for the first time in this paper. Based on these security measures, we propose security guidelines for implementors of OpenID Connect. Our formal analysis demonstrates that these guidelines are in fact effective and sufficient.

Abstract

Web-based single sign-on (SSO) services such as Google Sign-In and Log In with Paypal are based on the OpenID Connect protocol. This protocol enables so-called relying parties to delegate user authentication to so-called identity providers. OpenID Connect is one of the newest and most widely deployed single sign-on protocols on the web. Despite its importance, it has not received much attention from security researchers so far, and in particular, has not undergone any rigorous security analysis. In this paper, we carry out the first in-depth security analysis of OpenID Connect. To this end, we use a comprehensive generic model of the web to develop a detailed formal model of OpenID Connect. Based on this model, we then precisely formalize and prove central security properties for OpenID Connect, including authentication, authorization, and session integrity properties. In our modeling of OpenID Connect, we employ security measures in order to avoid attacks on OpenID Connect that have been discovered previously and new attack variants that we document for the first time in this paper. Based on these security measures, we propose security guidelines for implementors of OpenID Connect. Our formal analysis demonstrates that these guidelines are in fact effective and sufficient.

Abstract

The analysis of real-world protocols, in particular key exchange protocols and protocols building on these protocols, is a very complex, error-prone, and tedious task. Besides the complexity of the protocols itself, one important reason for this is that the security of the protocols has to be reduced to the security of the underlying cryptographic primitives for every protocol time and again. We would therefore like to get rid of reduction proofs for real-world key exchange protocols as much as possible and in many cases altogether, also for higher-level protocols which use the exchanged keys. So far some first steps have been taken in this direction. But existing work is still quite limited, and, for example, does not support Diffie-Hellman (DH) key exchange, a prevalent cryptographic primitive for real-world protocols. In this paper, building on work by Küsters and Tuengerthal, we provide an ideal functionality in the universal composability setting which supports several common cryptographic primitives, including DH key exchange. This functionality helps to avoid reduction proofs in the analysis of real-world protocols and often eliminates them completely. We also propose a new general ideal key exchange functionality which allows higher-level protocols to use exchanged keys in an ideal way. As a proof of concept, we apply our framework to three practical DH key exchange protocols, namely ISO 9798-3, SIGMA, and OPTLS.

Abstract

The analysis of real-world protocols, in particular key exchange protocols and protocols building on these protocols, is a very complex, error-prone, and tedious task. Besides the complexity of the protocols itself, one important reason for this is that the security of the protocols has to be reduced to the security of the underlying cryptographic primitives for every protocol time and again. We would therefore like to get rid of reduction proofs for real-world key exchange protocols as much as possible and in many cases altogether, also for higher-level protocols which use the exchanged keys. So far some first steps have been taken in this direction. But existing work is still quite limited, and, for example, does not support Diffie-Hellman (DH) key exchange, a prevalent cryptographic primitive for real-world protocols. In this paper, building on work by Küsters and Tuengerthal, we provide an ideal functionality in the universal composability setting which supports several common cryptographic primitives, including DH key exchange. This functionality helps to avoid reduction proofs in the analysis of real-world protocols and often eliminates them completely. We also propose a new general ideal key exchange functionality which allows higher-level protocols to use exchanged keys in an ideal way. As a proof of concept, we apply our framework to three practical DH key exchange protocols, namely ISO 9798-3, SIGMA, and OPTLS.

Abstract

In universal composability frameworks, adversaries (or environments) and protocols/ideal functionalities often have to exchange meta-information on the network interface, such as algorithms, keys, signatures, ciphertexts, signaling information, corruption-related messages. For these purely modeling-related messages, which do not reflect actual network communication, it would often be very reasonable and natural to expect that adversaries/environments provide the requested information immediately or give control back to the protocol/functionality immediately after having received some information. However, in none of the existing models for universal composability this is guaranteed. We call this the non-responsiveness problem. As discussed in the paper, while formally non-responsiveness does not invalidate any of the universal composability models, it has many disadvantages, such as unnecessarily complex specifications and less expressivity. Also, this problem has often been ignored in the literature, leading to ill-defined and flawed specifications. Protocol designers really should not have to care about this problem at all, but currently they have to: giving the adversary/environment the option to not respond immediately to modeling-related requests does not translate to any real attack scenario. This paper solves the non-responsiveness problem and its negative consequences completely, by avoiding this artificial modeling problem altogether. We propose the new concepts of responsive environments and adversaries. Such environments and adversaries must provide a valid response to modeling-related requests before any other protocol/functionality is activated. Hence, protocol designers do not have to worry any longer about artifacts resulting from such requests not being answered promptly. Our concepts apply to all existing models for universal composability, as exemplified for the UC, GNUC, and IITM models, with full definitions and proofs (simulation relations, transitivity, equivalence of various simulation notions, composition theorems) provided for the IITM model.

Abstract

The OAuth 2.0 protocol is one of the most widely deployed authorization/single sign-on (SSO) protocols and also serves as the foundation for the new SSO standard OpenID Connect. Despite the popularity of OAuth, so far analysis efforts were mostly targeted at finding bugs in specific implementations and were based on formal models which abstract from many web features or did not provide a formal treatment at all. In this paper, we carry out the first extensive formal analysis of the OAuth 2.0 standard in an expressive web model. Our analysis aims at establishing strong authorization, authentication, and session integrity guarantees, for which we provide formal definitions. In our formal analysis, all four OAuth grant types (authorization code grant, implicit grant, resource owner password credentials grant, and the client credentials grant) are covered. They may even run simultaneously in the same and different relying parties and identity providers, where malicious relying parties, identity providers, and browsers are considered as well. Our modeling and analysis of the OAuth 2.0 standard assumes that security recommendations and best practices are followed, in order to avoid obvious and known attacks. When proving the security of OAuth in our model, we discovered four attacks which break the security of OAuth. The vulnerabilities can be exploited in practice and are present also in OpenID Connect. We propose fixes for the identified vulnerabilities, and then, for the first time, actually prove the security of OAuth in an expressive web model. In particular, we show that the fixed version of OAuth (with security recommendations and best practices in place) provides the authorization, authentication, and session integrity properties we specify.

Abstract

Modern remote electronic voting systems, such as the prominent Helios system, are designed to provide vote privacy and verifiability, where, roughly speaking, the latter means that voters can make sure that their votes were actually counted. In this paper, we propose a new practical voting system called sElect (secure/simple elections). This system, which we implemented as a platform independent web-based application, is meant for low-risk elections and is designed to be particularly simple and lightweight in terms of its structure, the cryptography it uses, and the user experience. One of the unique features of sElect is that it supports fully automated verification, which does not require any user interaction and is triggered as soon as a voter looks at the election result. Despite its simplicity, we prove that this system provides a good level of privacy, verifiability, and accountability for low-risk elections.

Abstract

Modern remote electronic voting systems, such as the prominent Helios system, are designed to provide vote privacy and verifiability, where, roughly speaking, the latter means that voters can make sure that their votes were actually counted. In this paper, we propose a new practical voting system called sElect (secure/simple elections). This system, which we implemented as a platform independent web-based application, is meant for low-risk elections and is designed to be particularly simple and lightweight in terms of its structure, the cryptography it uses, and the user experience. One of the unique features of sElect is that it supports fully automated verification, which does not require any user interaction and is triggered as soon as a voter looks at the election result. Despite its simplicity, we prove that this system provides a good level of privacy, verifiability, and accountability for low-risk elections.

Abstract

There have been intensive research efforts in the last two decades or so to design and deploy electronic voting (e-voting) protocols/systems which allow voters and/or external auditors to check that the votes were counted correctly. This security property, which not least was motivated by numerous problems in even national elections, is called verifiability. It is meant to defend against voting devices and servers that have programming errors or are outright malicious. In order to properly evaluate and analyze e-voting protocols w.r.t. verifiability, one fundamental challenge has been to formally capture the meaning of this security property. While the first formal definitions of verifiability were devised in the late 1980s already, new verifiability definitions are still being proposed. The definitions differ in various aspects, including the classes of protocols they capture and even their formulations of the very core of the meaning of verifiability. This is an unsatisfying state of affairs, leaving the research on the verifiability of e-voting protocols in a fuzzy state. In this paper, we review all formal definitions of verifiability proposed in the literature and cast them in a framework proposed by Küsters, Truderung, and Vogt (the KTV framework), yielding a uniform treatment of verifiability. This enables us to provide a detailed comparison of the various definitions of verifiability from the literature. We thoroughly discuss advantages and disadvantages, and point to limitations and problems. Finally, from these discussions and based on the KTV framework, we distill a general definition of verifiability, which can be instantiated in various ways, and provide precise guidelines for its instantiation. The concepts for verifiability we develop should be widely applicable also beyond the framework used here. Altogether, our work offers a well-founded reference point for future research on the verifiability of e-voting systems.

Abstract

There have been intensive research efforts in the last two decades or so to design and deploy electronic voting (e-voting) protocols/systems which allow voters and/or external auditors to check that the votes were counted correctly. This security property, which not least was motivated by numerous problems in even national elections, is called verifiability. It is meant to defend against voting devices and servers that have programming errors or are outright malicious. In order to properly evaluate and analyze e-voting protocols w.r.t. verifiability, one fundamental challenge has been to formally capture the meaning of this security property. While the first formal definitions of verifiability were devised in the late 1980s already, new verifiability definitions are still being proposed. The definitions differ in various aspects, including the classes of protocols they capture and even their formulations of the very core of the meaning of verifiability. This is an unsatisfying state of affairs, leaving the research on the verifiability of e-voting protocols in a fuzzy state. In this paper, we review all formal definitions of verifiability proposed in the literature and cast them in a framework proposed by Küsters, Truderung, and Vogt (the KTV framework), yielding a uniform treatment of verifiability. This enables us to provide a detailed comparison of the various definitions of verifiability from the literature. We thoroughly discuss advantages and disadvantages, and point to limitations and problems. Finally, from these discussions and based on the KTV framework, we distill a general definition of verifiability, which can be instantiated in various ways, and provide precise guidelines for its instantiation. The concepts for verifiability we develop should be widely applicable also beyond the framework used here. Altogether, our work offers a well-founded reference point for future research on the verifiability of e-voting systems.

Abstract

In universal composability frameworks, adversaries (or environments) and protocols/ideal functionalities often have to exchange meta-information on the network interface, such as algorithms, keys, signatures, ciphertexts, signaling information, corruption-related messages. For these purely modeling-related messages, which do not reflect actual network communication, it would often be very reasonable and natural to expect that adversaries/environments provide the requested information immediately or give control back to the protocol/functionality immediately after having received some information. However, in none of the existing models for universal composability this is guaranteed. We call this the non-responsiveness problem. As discussed in the paper, while formally non-responsiveness does not invalidate any of the universal composability models, it has many disadvantages, such as unnecessarily complex specifications and less expressivity. Also, this problem has often been ignored in the literature, leading to ill-defined and flawed specifications. Protocol designers really should not have to care about this problem at all, but currently they have to: giving the adversary/environment the option to not respond immediately to modeling-related requests does not translate to any real attack scenario. This paper solves the non-responsiveness problem and its negative consequences completely, by avoiding this artificial modeling problem altogether. We propose the new concepts of responsive environments and adversaries. Such environments and adversaries must provide a valid response to modeling-related requests before any other protocol/functionality is activated. Hence, protocol designers do not have to worry any longer about artifacts resulting from such requests not being answered promptly. Our concepts apply to all existing models for universal composability, as exemplified for the UC, GNUC, and IITM models, with full definitions and proofs (simulation relations, transitivity, equivalence of various simulation notions, composition theorems) provided for the IITM model.

Abstract

The OAuth 2.0 protocol is one of the most widely deployed authorization/single sign-on (SSO) protocols and also serves as the foundation for the new SSO standard OpenID Connect. Despite the popularity of OAuth, so far analysis efforts were mostly targeted at finding bugs in specific implementations and were based on formal models which abstract from many web features or did not provide a formal treatment at all. In this paper, we carry out the first extensive formal analysis of the OAuth 2.0 standard in an expressive web model. Our analysis aims at establishing strong authorization, authentication, and session integrity guarantees, for which we provide formal definitions. In our formal analysis, all four OAuth grant types (authorization code grant, implicit grant, resource owner password credentials grant, and the client credentials grant) are covered. They may even run simultaneously in the same and different relying parties and identity providers, where malicious relying parties, identity providers, and browsers are considered as well. Our modeling and analysis of the OAuth 2.0 standard assumes that security recommendations and best practices are followed, in order to avoid obvious and known attacks. When proving the security of OAuth in our model, we discovered four attacks which break the security of OAuth. The vulnerabilities can be exploited in practice and are present also in OpenID Connect. We propose fixes for the identified vulnerabilities, and then, for the first time, actually prove the security of OAuth in an expressive web model. In particular, we show that the fixed version of OAuth (with security recommendations and best practices in place) provides the authorization, authentication, and session integrity properties we specify.

Abstract

Re-Encryption randomized partial checking (RPC) mix nets were introduced by Jakobsson, Juels, and Rivest in 2002 and since then have been employed in prominent modern e-voting systems and in politically binding elections in order to provide verifiable elections in a simple and efficient way. Being one of or even the most used mix nets in practice so far, these mix nets are an interesting and attractive target for rigorous security analysis. In this paper, we carry out the first formal cryptographic analysis of re-encryption RPC mix nets. We show that these mix nets, with fixes recently proposed by Khazaei and Wikström, provide a good level of verifiability, and more precisely, accountability: cheating mix servers, who try to manipulate the election outcome, are caught with high probability. Moreover, we show that all attacks that would break the privacy of voters' inputs are caught with a probability of at least $1/4$. In many cases, for example, when penalties are severe or reputation can be lost, adversaries might not be willing to take this risk, and hence, would behave in a way that avoids this risk. Now, for such a class of ``risk-avoiding'' adversaries, we show that re-encryption RPC mix nets provide a good level of privacy, even if only one mix server is honest.

Abstract

Single sign-on (SSO) systems, such as OpenID and OAuth, allow web sites, so-called relying parties (RPs), to delegate user authentication to identity providers (IdPs), such as Facebook or Google. These systems are very popular, as they provide a convenient means for users to log in at RPs and move much of the burden of user authentication from RPs to IdPs. There is, however, a downside to current systems, as they do not respect users' privacy: IdPs learn at which RP a user logs in. With one exception, namely Mozilla's BrowserID system (a.k.a. Mozilla Persona), current SSO systems were not even designed with user privacy in mind. Unfortunately, recently discovered attacks, which exploit design flaws of BrowserID, show that BrowserID does not provide user privacy either. In this paper, we therefore propose the first privacy-respecting SSO system for the web, called SPRESSO (for Secure Privacy-REspecting Single Sign-On). The system is easy to use, decentralized, and platform independent. It is based solely on standard HTML5 and web features and uses no browser extensions, plug-ins, or other executables. Existing SSO systems and the numerous attacks on such systems illustrate that the design of secure SSO systems is highly non-trivial. We therefore also carry out a formal analysis of SPRESSO based on an expressive model of the web in order to formally prove that SPRESSO enjoys strong authentication and privacy properties.

Abstract

Single sign-on (SSO) systems, such as OpenID and OAuth, allow web sites, so-called relying parties (RPs), to delegate user authentication to identity providers (IdPs), such as Facebook or Google. These systems are very popular, as they provide a convenient means for users to log in at RPs and move much of the burden of user authentication from RPs to IdPs. There is, however, a downside to current systems, as they do not respect users' privacy: IdPs learn at which RP a user logs in. With one exception, namely Mozilla's BrowserID system (a.k.a. Mozilla Persona), current SSO systems were not even designed with user privacy in mind. Unfortunately, recently discovered attacks, which exploit design flaws of BrowserID, show that BrowserID does not provide user privacy either. In this paper, we therefore propose the first privacy-respecting SSO system for the web, called SPRESSO (for Secure Privacy-REspecting Single Sign-On). The system is easy to use, decentralized, and platform independent. It is based solely on standard HTML5 and web features and uses no browser extensions, plug-ins, or other executables. Existing SSO systems and the numerous attacks on such systems illustrate that the design of secure SSO systems is highly non-trivial. We therefore also carry out a formal analysis of SPRESSO based on an expressive model of the web in order to formally prove that SPRESSO enjoys strong authentication and privacy properties.

Abstract

BrowserID is a complex, real-world Single Sign-On (SSO) System for web applications recently developed by Mozilla. It employs new HTML5 features (such as web messaging and web storage) and cryptographic assertions to provide decentralized login, with the intent to respect users' privacy. It can operate in a primary and a secondary identity provider mode. While in the primary mode BrowserID runs with arbitrary identity providers, in the secondary mode there is one identity provider only, namely Mozilla's default identity provider. We recently proposed an expressive general model for the web infrastructure and, based on this web model, analyzed the security of the secondary identity provider mode of BrowserID. The analysis revealed several severe vulnerabilities, which have been fixed by Mozilla. In this paper, we complement our prior work by analyzing the even more complex primary identity provider mode of BrowserID. We do not only study authentication properties as before, but also privacy properties. During our analysis we discovered new and practical attacks that do not apply to the secondary mode: an identity injection attack, which violates a central authentication property of SSO systems, and attacks that break the privacy promise of BrowserID and which do not seem to be fixable without a major redesign of the system. Interestingly, some of our attacks on privacy make use of a browser side channel that, to the best of our knowledge, has not gained a lot of attention so far. For the authentication bug, we propose a fix and formally prove in a slight extension of our general web model that the fixed system satisfies all the authentication requirements we consider. This constitutes the most complex formal analysis of a web application based on an expressive model of the web infrastructure so far. As another contribution, we identify and prove important security properties of generic web features in the extended web model to facilitate future analysis efforts of web standards and web applications.

Abstract

Several tools and approaches for proving noninterference properties for Java and other languages exist. Some of them have a high degree of automation or are even fully automatic, but overapproximate the actual information flow, and hence, may produce false positives. Other tools, such as those based on theorem proving, are precise, but may need interaction, and hence, analysis is time-consuming. In this paper, we propose a hybrid approach that aims at obtaining the best of both approaches: We want to use fully automatic analysis as much as possible and only at places in a program where, due to overapproximation, the automatic approaches fail, we resort to more precise, but interactive analysis, where the latter involves the verification only of specific functional properties in certain parts of the program, rather than checking more intricate noninterference properties for the whole program. To illustrate the hybrid approach, in a case study we use this approach---along with the fully automatic tool Joana for checking noninterference properties for Java programs and the theorem prover KeY for the verification of Java programs---as well as the CVJ framework proposed by Küsters, Truderung, and Graf to establish cryptographic privacy properties for a non-trivial Java program, namely an e-voting system. The CVJ framework allows one to establish cryptographic indistinguishability properties for Java programs by checking (standard) noninterference properties for such programs.

Abstract

Several tools and approaches for proving noninterference properties for Java and other languages exist. Some of them have a high degree of automation or are even fully automatic, but overapproximate the actual information flow, and hence, may produce false positives. Other tools, such as those based on theorem proving, are precise, but may need interaction, and hence, analysis is time-consuming. In this paper, we propose a hybrid approach that aims at obtaining the best of both approaches: We want to use fully automatic analysis as much as possible and only at places in a program where, due to overapproximation, the automatic approaches fail, we resort to more precise, but interactive analysis, where the latter involves the verification only of specific functional properties in certain parts of the program, rather than checking more intricate noninterference properties for the whole program. To illustrate the hybrid approach, in a case study we use this approach---along with the fully automatic tool Joana for checking noninterference properties for Java programs and the theorem prover KeY for the verification of Java programs---as well as the CVJ framework proposed by Küsters, Truderung, and Graf to establish cryptographic privacy properties for a non-trivial Java program, namely an e-voting system. The CVJ framework allows one to establish cryptographic indistinguishability properties for Java programs by checking (standard) noninterference properties for such programs.

Abstract

Re-Encryption randomized partial checking (RPC) mix nets were introduced by Jakobsson, Juels, and Rivest in 2002 and since then have been employed in prominent modern e-voting systems and in politically binding elections in order to provide verifiable elections in a simple and efficient way. Being one of or even the most used mix nets in practice so far, these mix nets are an interesting and valuable target for rigorous security analysis. In this paper, we carry out the first formal cryptographic analysis of re-encryption RPC mix nets. We show that these mix nets, with fixes recently proposed by Khazaei and Wikstroem, provide a good level of verifiability, and more precisely, accountability: cheating mix servers, who try to manipulate the election outcome, are caught with high probability. Moreover, we show that all attacks that would break the privacy of voters' inputs are caught with a probability of at least 1/4. In many cases, for example, when penalties are severe or reputation can be lost, adversaries might not be willing to take this risk, and hence, would behave in a way that avoids this risk. Now, for such a class of "risk-avoiding" adversaries, we show that re-encryption RPC mix nets provide a good level of privacy, even if only one mix server is honest.

Abstract

BrowserID is a complex, real-world Single Sign-On (SSO) System for web applications recently developed by Mozilla. It employs new HTML5 features (such as web messaging and web storage) and cryptographic assertions to provide decentralized login, with the intent to respect users' privacy. It can operate in a primary and a secondary identity provider mode. While in the primary mode BrowserID runs with arbitrary identity providers (IdPs), in the secondary mode there is one IdP only, namely Mozilla's default IdP. We recently proposed an expressive general model for the web infrastructure and, based on this web model, analyzed the security of the secondary IdP mode of BrowserID. The analysis revealed several severe vulnerabilities. In this paper, we complement our prior work by analyzing the even more complex primary IdP mode of BrowserID. We do not only study authentication properties as before, but also privacy properties. During our analysis we discovered new and practical attacks that do not apply to the secondary mode: an identity injection attack, which violates a central authentication property of SSO systems, and attacks that break an important privacy promise of BrowserID and which do not seem to be fixable without a major redesign of the system. Some of our attacks on privacy make use of a browser side channel that has not gained a lot of attention so far. For the authentication bug, we propose a fix and formally prove in a slight extension of our general web model that the fixed system satisfies all the requirements we consider. This constitutes the most complex formal analysis of a web application based on an expressive model of the web infrastructure so far. As another contribution, we identify and prove important security properties of generic web features in the extended web model to facilitate future analysis efforts of web standards and web applications.

Abstract

Systems for electronic voting (e-voting systems), including systems for voting over the Internet and systems for voting in a voting booth, are employed in many countries. However, most of the systems used in practice today do not provide a sufficient level of security. For example, programming errors and malicious behavior easily go undetected. In fact, numerous problems with e-voting systems have been reported in various countries. Therefore, in recent years modern e-voting systems have been designed that strive to achieve a rich set of fundamental but at the same time intricate and seemingly contradictory security requirements. For example, besides keeping the votes of individual voters private (privacy of votes), they allow voters to check that their votes were counted correctly, even if voting machines have programming errors or are outright malicious (verifiability/accountability). Some of these systems also try to prevent vote buying and voter coercion (coercion resistance). In this course, we cover the above mentioned central security requirements of e-voting systems and how they can be formally defined and analyzed. While analysis is mostly done based on cryptographic models or even more abstract so-called Dolev-Yao models, we also discuss approaches to perform (cryptographic) analysis directly on the implementation-/language-level of a system.

Abstract

Systems for electronic voting (e-voting systems), including systems for voting over the Internet and systems for voting in a voting booth, have been employed in many countries. However, most of the systems used in practice today do not provide a sufficient level of security. For example, programming errors and malicious behavior resulting in the loss of votes and incorrect election outcomes easily go undetected. In fact, numerous problems with e-voting systems have been reported in various countries. Therefore, in recent years modern e-voting systems have been designed that, among others, allow voters to check that their votes were counted correctly, even if voting machines and servers have programming errors or are outright malicious. In this paper, after a brief discussion of the problems of today's e-voting systems, we explain fundamental security properties modern e-voting systems should provide, including the above mentioned so-called verifiability property, and present a simple e-voting system to illustrate some of these properties. One important goal of our work is to provide security guarantees of such systems not only for abstract mathematical/cryptographic models of the systems but for the implementation of the systems directly. This requires us to combine various techniques and tools from security/cryptography, program analysis, and verification.

Abstract

Mix nets with randomized partial checking (RPC mix nets) have been introduced by Jakobsson, Juels, and Rivest as particularly simple and efficient verifiable mix nets. These mix nets have been used in several implementations of prominent e-voting systems to provide vote privacy and verifiability. In RPC mix nets, higher efficiency is traded for a lower level of privacy and verifiability. However, these mix nets have never undergone a rigorous formal analysis. Recently, Kahazei and Wikström even pointed out several severe problems in the original proposal and in implementations of RPC mix nets in e-voting systems, both for so-called re-encryption and Chaumian RPC mix nets. While Kahazei and Wikström proposed several fixes, the security status of Chaumian RPC mix nets (with the fixes applied) has been left open; re-encryption RPC mix nets, as they suggest, should not be used at all. In this paper, we provide the first formal security analysis of Chaumian RPC mix nets. We propose security definitions that allow one to measure the level of privacy and verifiability RPC mix nets offer, and then based on these definitions, carry out a rigorous analysis. Altogether, our results show that these mix nets provide a reasonable level of privacy and verifiability, and that they are still an interesting option for the use in e-voting systems.

Abstract

In our previous work, we have proposed a framework which allows tools that can check standard noninterference properties but a priori cannot deal with cryptography to establish cryptographic indistinguishability properties, such as privacy properties, for Java programs. We refer to this framework as the CVJ framework (Cryptographic Verification of Java Programs) in this paper. While so far the CVJ framework directly supports public-key encryption (without corruption and without a public-key infrastructure) only, in this work we further instantiate the framework to support, among others, public-key encryption and digital signatures, both with corruption and a public-key infrastructure, as well as (private) symmetric encryption. Since these cryptographic primitives are very common in security-critical applications, our extensions make the framework much more widely applicable. To illustrate the usefulness and applicability of the extensions proposed in this paper, we apply the framework along with the tool Joana, which allows for the fully automatic verification of noninterference properties of Java programs, to establish cryptographic privacy properties of a (non-trivial) cloud storage application, where clients can store private information on a remote server.

Abstract

The web constitutes a complex infrastructure and as demonstrated by numerous attacks, rigorous analysis of standards and web applications is indispensable. Inspired by successful prior work, in particular the work by Akhawe et al. as well as Bansal et al., in this work we propose a formal model for the web infrastructure. While unlike prior works, which aim at automatic analysis, our model so far is not directly amenable to automation, it is much more comprehensive and accurate with respect to the standards and specifications. As such, it can serve as a solid basis for the analysis of a broad range of standards and applications. As a case study and another important contribution of our work, we use our model to carry out the first rigorous analysis of the BrowserID system (a.k.a. Mozilla Persona), a recently developed complex real-world single sign-on system that employs technologies such as AJAX, cross-document messaging, and HTML5 web storage. Our analysis revealed a number of very critical flaws that could not have been captured in prior models. We propose fixes for the flaws, formally state relevant security properties, and prove that the fixed system in a setting with a so-called secondary identity provider satisfies these security properties in our model. The fixes for the most critical flaws have already been adopted by Mozilla and our findings have been rewarded by the Mozilla Security Bug Bounty Program.

Abstract

The web constitutes a complex infrastructure and as demonstrated by numerous attacks, rigorous analysis of standards and web applications is indispensable. Inspired by successful prior work, in particular the work by Akhawe et al. as well as Bansal et al., in this work we propose a formal model for the web infrastructure. While unlike prior works, which aim at automatic analysis, our model so far is not directly amenable to automation, it is much more comprehensive and accurate with respect to the standards and specifications. As such, it can serve as a solid basis for the analysis of a broad range of standards and applications. As a case study and another important contribution of our work, we use our model to carry out the first rigorous analysis of the BrowserID system (a.k.a. Mozilla Persona), a recently developed complex real-world single sign-on system that employs technologies such as AJAX, cross-document messaging, and HTML5 web storage. Our analysis revealed a number of very critical flaws that could not have been captured in prior models. We propose fixes for the flaws, formally state relevant security properties, and prove that the fixed system in a setting with a so-called secondary identity provider satisfies these security properties in our model. The fixes for the most critical flaws have already been adopted by Mozilla and our findings have been rewarded by the Mozilla Security Bug Bounty Program.

Abstract

Mix nets with randomized partial checking (RPC mix nets) have been introduced by Jakobsson, Juels, and Rivest as particularly simple and efficient verifiable mix nets. These mix nets have been used in several implementations of prominent e-voting systems to provide vote privacy and verifiability. In RPC mix nets, higher efficiency is traded for a lower level of privacy and verifiability. However, these mix nets have never undergone a rigorous formal analysis. Recently, Kahazei and Wikström even pointed out several severe problems in the original proposal and in implementations of RPC mix nets in e-voting systems, both for so-called re-encryption and Chaumian RPC mix nets. While Kahazei and Wikström proposed several fixes, the security status of Chaumian RPC mix nets (with the fixes applied) has been left open; re-encryption RPC mix nets, as they suggest, should not be used at all. In this paper, we provide the first formal security analysis of Chaumian RPC mix nets. We propose security definitions that allow one to measure the level of privacy and verifiability RPC mix nets offer, and then based on these definitions, carry out a rigorous analysis. Altogether, our results show that these mix nets provide a reasonable level of privacy and verifiability, and that they are still an interesting option for the use in e-voting systems.

Abstract

In our previous work, we have proposed a framework which allows tools that can check standard noninterference properties but a priori cannot deal with cryptography to establish cryptographic indistinguishability properties, such as privacy properties, for Java programs. We refer to this framework as the CVJ framework (Cryptographic Verification of Java Programs) in this paper. While so far the CVJ framework directly supports public-key encryption (without corruption and without a public-key infrastructure) only, in this work we further instantiate the framework to support, among others, public-key encryption and digital signatures, both with corruption and a public-key infrastructure, as well as (private) symmetric encryption. Since these cryptographic primitives are very common in security-critical applications, our extensions make the framework much more widely applicable. To illustrate the usefulness and applicability of the extensions proposed in this paper, we apply the framework along with the tool Joana, which allows for the fully automatic verification of noninterference properties of Java programs, to establish cryptographic privacy properties of a (non-trivial) cloud storage application, where clients can store private information on a remote server.

Abstract

The universal composability paradigm allows for the modular design and analysis of cryptographic protocols. It has been widely and successfully used in cryptography. However, devising a coherent yet simple and expressive model for universal composability is, as the history of such models shows, highly non-trivial. For example, several partly severe problems have been pointed out in the literature for the UC model. In this work, we propose a coherent model for universal composability, called the IITM model (``Inexhaustible Interactive Turing Machine''). A main feature of the model is that it is stated without a priori fixing irrelevant details, such as a specific way of addressing of machines by session and party identifiers, a specific modeling of corruption, or a specific protocol hierarchy. In addition, we employ a very general notion of runtime. All reasonable protocols and ideal functionalities should be expressible based on this notion in a direct and natural way, and without tweaks, such as (artificial) padding of messages or (artificially) adding extra messages. Not least because of these features, the model is simple and expressive. Also the general results that we prove, such as composition theorems, hold independently of how such details are fixed for concrete applications. Being inspired by other models for universal composability, in particular the UC model and because of the flexibility and expressivity of the IITM model, conceptually, results formulated in these models directly carry over to the IITM model.

Abstract

We consider the problem of establishing cryptographic guarantees -- in particular, computational indistinguishability -- for Java or Java-like programs that use cryptography. For this purpose, we propose a general framework that enables existing program analysis tools that can check (standard) non-interference properties of Java programs to establish cryptographic security guarantees, even if the tools a priori cannot deal with cryptography. The approach that we take is new and combines techniques from program analysis and simulation-based security. Our framework is stated and proved for a Java-like language that comprises a rich fragment of Java. The general idea of our approach should, however, be applicable also to other practical programming languages. As a proof of concept, we use an automatic program analysis tool for checking non-interference properties of Java programs, namely the tool Joana, in order to establish computational indistinguishability for a Java program that involves clients sending encrypted messages over a network, controlled by an active adversary, to a server.

Abstract

We consider the problem of establishing cryptographic guarantees -- in particular, computational indistinguishability -- for Java or Java-like programs that use cryptography. For this purpose, we propose a general framework that enables existing program analysis tools that can check (standard) non-interference properties of Java programs to establish cryptographic security guarantees, even if the tools a priori cannot deal with cryptography. The approach that we take is new and combines techniques from program analysis and simulation-based security. Our framework is stated and proved for a Java-like language that comprises a rich fragment of Java. The general idea of our approach should, however, be applicable also to other practical programming languages. As a proof of concept, we use an automatic program analysis tool for checking non-interference properties of Java programs, namely the tool Joana, in order to establish computational indistinguishability for a Java program that involves clients sending encrypted messages over a network, controlled by an active adversary, to a server.

Abstract

Verifiability is a central property of modern e-voting systems. Intuitively, verifiability means that voters can check that their votes were actually counted and that the published result of the election is correct, even if the voting machine/authorities are (partially) untrusted. In this paper, we raise awareness of a simple attack, which we call clash attack, on the verifiability of e-voting systems. The main idea behind this attack is that voting machines manage to provide different voters with the same receipt. As a result, the bulletin board can safely replace ballots by new ballots, and by this, manipulate the election without being detected. This attack does not seem to have attracted much attention in the literature. Even though the attack is quite simple, we show that, under reasonable trust assumptions, it applies to several e-voting systems which have been designed to provide verifiability. In particular, we show that it applies to the prominent ThreeBallot and VAV voting systems as well as to two e-voting systems that have been deployed in real elections: the Wombat Voting system and a variant of the Helios voting system. We discuss countermeasures for each of these systems and for (various variants of) Helios provide a formal analysis based on a rigorous definition of verifiability. More precisely, our analysis of Helios is with respect to the more general and in the area of e-voting often overlooked notion of accountability.

Abstract

Verifiability is a central property of modern e-voting systems. Intuitively, verifiability means that voters can check that their votes were actually counted and that the published result of the election is correct, even if the voting machine/authorities are (partially) untrusted. In this paper, we raise awareness of a simple attack, which we call clash attack, on the verifiability of e-voting systems. The main idea behind this attack is that voting machines manage to provide different voters with the same receipt. As a result, the bulletin board can safely replace ballots by new ballots, and by this, manipulate the election without being detected. This attack does not seem to have attracted much attention in the literature. Even though the attack is quite simple, we show that, under reasonable trust assumptions, it applies to several e-voting systems which have been designed to provide verifiability. In particular, we show that it applies to the prominent ThreeBallot and VAV voting systems as well as to two e-voting systems that have been deployed in real elections: the Wombat Voting system and a variant of the Helios voting system. We discuss countermeasures for each of these systems and for (various variants of) Helios provide a formal analysis based on a rigorous definition of verifiability. More precisely, our analysis of Helios is with respect to the more general and in the area of e-voting often overlooked notion of accountability.

Abstract

Coercion-resistance is one of the most important and intricate security requirements for voting protocols. Several definitions of coercion-resistance have been proposed in the literature, both in cryptographic settings and more abstract, symbolic models. However, unlike symbolic approaches, only very few voting protocols have been rigorously analyzed within the cryptographic setting. A major obstacle is that existing cryptographic definitions of coercion-resistance tend to be complex and limited in scope: They are often tailored to specific classes of protocols or are too demanding. In this paper, we therefore present a simple and intuitive, yet widely applicable cryptographic definition of coercion-resistance, in the style of game-based definitions. This definition allows to precisely measure the level of coercion-resistance a protocol provides. As a proof of concept, we apply our definition to two voting systems, namely, the Bingo voting system and ThreeBallot. The results we obtain are out of the scope of existing approaches. We show that the Bingo voting system provides the same level of coercion-resistance as an ideal voting system. We also precisely measure the degradation of coercion-resistance of ThreeBallot in case the so-called short ballot assumption does not hold and show that the level of coercion-resistance ThreeBallot provides is significantly lower than that of an ideal system, even in case of short ballots.

Abstract

Canetti's universal composition theorem and the joint state composition theorems by Canetti and Rabin are useful and widely employed tools for the modular design and analysis of cryptographic protocols. However, these theorems assume that parties participating in a protocol session have pre-established a unique session ID (SID). While the use of such SIDs is a good design principle, existing protocols, in particular real-world security protocols, typically do not use pre-established SIDs, at least not explicitly and not in the particular way stipulated by the theorems. As a result, the composition theorems cannot be applied for analyzing such protocols in a modular and faithful way. In this paper, we therefore present universal and joint state composition theorems which do not assume pre-established SIDs. In our joint state composition theorem, the joint state is an ideal functionality which supports several cryptographic operations, including public-key encryption, (authenticated and unauthenticated) symmetric encryption, MACs, digital signatures, and key derivation. This functionality has recently been proposed by Küsters and Tuengerthal and has been shown to be realizable under standard cryptographic assumptions and for a reasonable class of environments. We demonstrate the usefulness of our composition theorems by several case studies on real-world security protocols, including IEEE 802.11i, SSL/TLS, SSH, IPsec, and EAP-PSK. While our applications focus on real-world security protocols, our theorems, models, and techniques should be useful beyond this domain.

Abstract

Canetti's universal composition theorem and the joint state composition theorems by Canetti and Rabin are useful and widely employed tools for the modular design and analysis of cryptographic protocols. However, these theorems assume that parties participating in a protocol session have pre-established a unique session ID (SID). While the use of such SIDs is a good design principle, existing protocols, in particular real-world security protocols, typically do not use pre-established SIDs, at least not explicitly and not in the particular way stipulated by the theorems. As a result, the composition theorems cannot be applied for analyzing such protocols in a modular and faithful way. In this paper, we therefore present universal and joint state composition theorems which do not assume pre-established SIDs. In our joint state composition theorem, the joint state is an ideal functionality which supports several cryptographic operations, including public-key encryption, (authenticated and unauthenticated) symmetric encryption, MACs, digital signatures, and key derivation. This functionality has recently been proposed by Küsters and Tuengerthal and has been shown to be realizable under standard cryptographic assumptions and for a reasonable class of environments. We demonstrate the usefulness of our composition theorems by several case studies on real-world security protocols, including IEEE 802.11i, SSL/TLS, SSH, IPsec, and EAP-PSK. While our applications focus on real-world security protocols, our theorems, models, and techniques should be useful beyond this domain.

Abstract

In this paper, we present new insights into central properties of voting systems, namely verifiability, privacy, and coercion-resistance. We demonstrate that the combination of the two forms of verifiability considered in the literature---individual and universal verifiability---are, unlike commonly believed, insufficient to guarantee overall verifiability. We also demonstrate that the relationship between coercion-resistance and privacy is more subtle than suggested in the literature. Our findings are partly based on a case study of prominent voting systems, ThreeBallot and VAV, for which, among others, we show that, unlike commonly believed, they do not provide any reasonable level of verifiability, even though they satisfy individual and universal verifiability. Also, we show that the original variants of ThreeBallot and VAV provide a better level of coercion-resistance than of privacy.

Abstract

In this paper, we present new insights into central properties of voting systems, namely verifiability, privacy, and coercion-resistance. We demonstrate that the combination of the two forms of verifiability considered in the literature---individual and universal verifiability---are, unlike commonly believed, insufficient to guarantee overall verifiability. We also demonstrate that the relationship between coercion-resistance and privacy is more subtle than suggested in the literature. Our findings are partly based on a case study of prominent voting systems, ThreeBallot and VAV, for which, among others, we show that, unlike commonly believed, they do not provide any reasonable level of verifiability, even though they satisfy individual and universal verifiability. Also, we show that the original variants of ThreeBallot and VAV provide a better level of coercion-resistance than of privacy.

Abstract

Many real-world protocols, such as SSL/TLS, SSH, IPsec, DNSSEC, IEEE 802.11i, and Kerberos, derive new keys from other keys. To be able to analyze such protocols in a composable way, in this paper we extend an ideal functionality for symmetric and public-key encryption proposed in previous work by a mechanism for key derivation. We also equip this functionality with message authentication codes (MACs), digital signatures, and ideal nonce generation. We show that the resulting ideal functionality can be realized based on standard cryptographic assumptions and constructions, hence, providing a solid foundation for faithful, composable cryptographic analysis of real-world security protocols. Based on this new functionality, we identify sufficient criteria for protocols to provide universally composable key exchange and secure channels. Since these criteria are based on the new ideal functionality, checking the criteria requires merely information-theoretic or even only syntactical arguments, rather than involved reduction arguments. As a case study, we use our method to analyze two central protocols of the IEEE 802.11i standard, namely the 4-Way Handshake Protocol and the CCM Protocol, proving composable security properties. As to the best of our knowledge, this constitutes the first rigorous cryptographic analysis of these protocols.

Abstract

In the Horn theory based approach for cryptographic protocol analysis, cryptographic protocols and (Dolev-Yao) intruders are modeled by Horn theories and security analysis boils down to solving the derivation problem for Horn theories. This approach and the tools based on this approach, including ProVerif, have been very successful in the automatic analysis of cryptographic protocols. However, dealing with the algebraic properties of operators, such as the exclusive OR (XOR), which are frequently used in cryptographic protocols has been problematic. In particular, ProVerif cannot deal with XOR. In this paper, we show how to reduce the derivation problem for Horn theories with XOR to the XOR-free case. Our reduction works for an expressive class of Horn theories. A large class of intruder capabilities and protocols that employ the XOR operator can be modeled by these theories. Our reduction allows us to carry out protocol analysis using tools, such as ProVerif, that cannot deal with XOR, but are very efficient in the XOR-free case. We implemented our reduction and, in combination with ProVerif, used it for the fully automatic analysis of several protocols that employ the XOR operator. Among others, our analysis revealed a new attack on an IBM security module.

Abstract

By now, many voting protocols have been proposed that, among others, are designed to achieve coercion-resistance, i.e., resistance to vote buying and voter coercion. Scantegrity II is among the most prominent and successful such protocols in that it has been used in several elections. However, almost none of the modern voting protocols used in practice, including Scantegrity II, has undergone a rigorous cryptographic analysis. In this paper, we prove that Scantegrity II enjoys an optimal level of coercion-resistance, i.e., the same level of coercion-resistance as an ideal voting protocol (which merely reveals the outcome of the election), except for so-called forced abstention attacks. This result is obtained under the (necessary) assumption that the workstation used in the protocol is honest. Our analysis is based on a rigorous cryptographic definition of coercion-resistance we recently proposed. We argue that this definition is in fact the only existing cryptographic definition of coercion-resistance suitable for analyzing Scantegrity II. Our case study should encourage and facilitate rigorous cryptographic analysis of coercion-resistance also for other voting protocols used in practice.

Abstract

By now, many voting protocols have been proposed that, among others, are designed to achieve coercion-resistance, i.e., resistance to vote buying and voter coercion. Scantegrity II is among the most prominent and successful such protocols in that it has been used in several elections. However, almost none of the modern voting protocols used in practice, including Scantegrity II, has undergone a rigorous cryptographic analysis. In this paper, we prove that Scantegrity II enjoys an optimal level of coercion-resistance, i.e., the same level of coercion-resistance as an ideal voting protocol (which merely reveals the outcome of the election), except for so-called forced abstention attacks. This result is obtained under the (necessary) assumption that the workstation used in the protocol is honest. Our analysis is based on a rigorous cryptographic definition of coercion-resistance we recently proposed. We argue that this definition is in fact the only existing cryptographic definition of coercion-resistance suitable for analyzing Scantegrity II. Our case study should encourage and facilitate rigorous cryptographic analysis of coercion-resistance also for other voting protocols used in practice.

Abstract

Many cryptographic tasks and protocols, such as non-repudiation, contract-signing, voting, auction, identity-based encryption, and certain forms of secure multi-party computation, involve the use of (semi-)trusted parties, such as notaries and authorities. It is crucial that such parties can be held accountable in case they misbehave as this is a strong incentive for such parties to follow the protocol. Unfortunately, there does not exist a general and convincing definition of accountability that would allow to assess the level of accountability a protocol provides. In this paper, we therefore propose a new, widely applicable definition of accountability, with interpretations both in symbolic and computational models. Our definition reveals that accountability is closely related to verifiability, for which we also propose a new definition. We prove that verifiability can be interpreted as a restricted form of accountability. Our findings on verifiability are of independent interest. As a proof of concept, we apply our definitions to the analysis of protocols for three different tasks: contract-signing, voting, and auctions. Our analysis unveils some subtleties and unexpected weaknesses, showing in one case that the protocol is unusable in practice. However, for this protocol we propose a fix to establish a reasonable level of accountability.

Abstract

Abuse-freeness is an important security requirement for con-tract-signing protocols. In previous work, Kaehler, Kuesters, and Wilke proposed a definition for offline abuse-freeness. In this work, we generalize this definition to online abuse-freeness and apply it to two prominent contract-signing protocols. We demonstrate that online abuse-freeness is strictly stronger than offline abuse-freeness.

Abstract

Abuse-freeness is an important security requirement for con-tract-signing protocols. In previous work, Kaehler, Kuesters, and Wilke proposed a definition for offline abuse-freeness. In this work, we generalize this definition to online abuse-freeness and apply it to two prominent contract-signing protocols. We demonstrate that online abuse-freeness is strictly stronger than offline abuse-freeness.

Abstract

Many real-world protocols, such as SSL/TLS, SSH, IPsec, IEEE 802.11i, DNSSEC, and Kerberos, derive new keys from other keys. To be able to analyze such protocols in a composable way, in this paper we extend our ideal functionality for symmetric and public-key encryption proposed in previous work by a mechanism for key derivation. We also equip our functionality with message authentication codes (MACs) and ideal nonce generation. We show that our ideal functionality can be realized based on standard cryptographic assumptions and constructions, hence, providing a solid foundation for faithful, composable cryptographic analysis of real-world security protocols. Based on our functionality, we identify sufficient criteria for protocols to provide universally composable key exchange and secure channels. Since these criteria are based on our ideal functionality, checking the criteria requires merely information-theoretic or even only syntactical arguments, rather than involved reduction arguments. As a case study, we use our method to analyze two central protocols of the IEEE 802.11i standard, namely the 4-Way Handshake Protocol and the CCM Protocol, proving composable security properties. As to the best of our knowledge, this constitutes the first rigorous cryptographic analysis of these protocols.

Abstract

Many cryptographic tasks and protocols, such as non-repudiation, contract-signing, voting, auction, identity-based encryption, and certain forms of secure multi-party computation, involve the use of (semi-)trusted parties, such as notaries and authorities. It is crucial that such parties can be held accountable in case they misbehave as this is a strong incentive for such parties to follow the protocol. Unfortunately, there does not exist a general and convincing definition of accountability that would allow to assess the level of accountability a protocol provides. In this paper, we therefore propose a new, widely applicable definition of accountability, with interpretations both in symbolic and computational models. Our definition reveals that accountability is closely related to verifiability, for which we also propose a new definition. We prove that verifiability can be interpreted as a restricted form of accountability. Our findings on verifiability are of independent interest. As a proof of concept, we apply our definitions to the analysis of protocols for three different tasks: contract-signing, voting, and auctions. Our analysis unveils some subtleties and unexpected weaknesses, showing in one case that the protocol is unusable in practice. However, for this protocol we propose a fix to establish a reasonable level of accountability.

Abstract

Coercion-resistance is one of the most important and intricate security requirements for voting protocols. Several definitions of coercion-resistance have been proposed in the literature, both in cryptographic settings and more abstract, symbolic models. However, unlike symbolic approaches, only very few voting protocols have been rigorously analyzed within the cryptographic setting. A major obstacle is that existing cryptographic definitions of coercion-resistance tend to be complex and limited in scope: They are often tailored to specific classes of protocols or are too demanding. In this paper, we therefore present a simple and intuitive, yet widely applicable cryptographic definition of coercion-resistance, in the style of game-based definitions. This definition allows to precisely measure the level of coercion-resistance a protocol provides. As a proof of concept, we apply our definition to two voting systems, namely, the Bingo voting system and ThreeBallot. The results we obtain are out of the scope of existing approaches. We show that the Bingo voting system provides the same level of coercion-resistance as an ideal voting system. We also precisely measure the degradation of coercion-resistance of ThreeBallot in case the so-called short ballot assumption does not hold and show that the level of coercion-resistance ThreeBallot provides is significantly lower than that of an ideal system, even in case of short ballots.

Abstract

Research on the automatic analysis of cryptographic protocols has so far concentrated on reachability properties, such as secrecy and authentication. In this paper, we prove that certain game-theoretic security properties, including balance for contract-signing protocols, can be decided in a Dolev-Yao style model with a bounded number of sessions. The decision algorithm that we develop is based on standard constraint-solving procedures, which, in the past, have successfully been employed in tools for reachability properties. Our result thus paves the way for extending these tools to deal with game-theoretic security properties.

Abstract

Formal analysis of security protocols based on symbolic models has been very successful in finding flaws in published protocols and proving protocols secure, using automated tools. An important question is whether this kind of formal analysis implies security guarantees in the strong sense of modern cryptography. Initiated by the seminal work of Abadi and Rogaway, this question has been investigated and numerous positive results showing this so-called computational soundness of formal analysis have been obtained. However, for the case of active adversaries and protocols that use symmetric encryption computational soundness has remained a challenge. In this paper, we show the first general computational soundness result for key exchange protocols with symmetric encryption, along the lines of a paper by Canetti and Herzog on protocols with public-key encryption. More specifically, we develop a symbolic, automatically checkable criterion, based on observational equivalence, and show that a key exchange protocol that satisfies this criterion realizes a key exchange functionality in the sense of universal composability. Our results hold under standard cryptographic assumptions.

Abstract

Formal analysis of security protocols based on symbolic models has been very successful in finding flaws in published protocols and proving protocols secure, using automated tools. An important question is whether this kind of formal analysis implies security guarantees in the strong sense of modern cryptography. Initiated by the seminal work of Abadi and Rogaway, this question has been investigated and numerous positive results showing this so-called computational soundness of formal analysis have been obtained. However, for the case of active adversaries and protocols that use symmetric encryption computational soundness has remained a challenge. In this paper, we show the first general computational soundness result for key exchange protocols with symmetric encryption, along the lines of a paper by Canetti and Herzog on protocols with public-key encryption. More specifically, we develop a symbolic, automatically checkable criterion, based on observational equivalence, and show that a key exchange protocol that satisfies this criterion realizes a key exchange functionality in the sense of universal composability. Our results hold under standard cryptographic assumptions.

Abstract

Recently, Xia et al. proposed a variant of Pret a Voter which enjoys several attractive properties. Their protocol is among the few verifiable and receipt-free paper-based voting protocols resistant against randomization attacks. Trust is distributed among several authorities and the voter interface is relatively simple. Also, approval and ranked elections are supported. In this paper, we improve and simplify the protocol by Xia et al. Among others, we propose a simpler way of producing ballots, which only involves the encryption and re-encryption of candidate names; homomorphic encryption and proxy re-encryption are not needed. Also, no machine involved in the production of ballots needs to store a secret key. Moreover, unlike the protocol by Xia et al., in our protocol all authorities can be held accountable in case they misbehave in an observable way.

Abstract

ProVerif is one of the most successful tools for cryptographic protocol analysis. However, dealing with algebraic properties of operators such as the exclusive OR (XOR) and Diffie-Hellman exponentiation has been problematic. Recently, we have developed an approach which enables ProVerif, and related tools, to analyze a large class of protocols that employ the XOR operator. In this work, we adapt this approach to the case of Diffie-Hellman exponentiation. The core of our approach is to reduce the derivation problem for Horn theories modulo algebraic properties of Diffie-Hellman exponentiation to a purely syntactical derivation problem for Horn theories. The latter problem can then be solved by tools such as ProVerif. Our reduction works for a large class of Horn theories, allowing to model a wide range of intruder capabilities and protocols. We implemented our reduction and, in combination with ProVerif, applied it in the automatic analysis of several state-of-the-art protocols that use Diffie-Hellman exponentiation. While the general idea of our approach follows the one for XOR in our previous work, the reduction itself and the proof of soundness and completeness of our reduction are entirely different from the XOR case. Surprisingly, the reduction for Diffie-Hellman exponentiation is more efficient than the one for XOR.

Abstract

For most basic cryptographic tasks, such as public-key encryption, digital signatures, authentication, key exchange, and many other more sophisticated tasks, ideal functionalities have been formulated in the simulation-based security approach, along with their realizations. Surprisingly, however, no such functionality exists for symmetric encryption, except for a more abstract Dolev-Yao style functionality. In this paper, we fill this gap. We propose two functionalities for symmetric encryption, an unauthenticated and an authenticated version, and show that they can be implemented based on standard cryptographic assumptions for symmetric encryption schemes, namely IND-CCA security and authenticated encryption, respectively, provided that the environment does not create key cycles or cause the so-called commitment problem. We also illustrate the usefulness of our functionalities in applications, both in simulation-based and game-based security settings.

Abstract

For most basic cryptographic tasks, such as public key encryption, digital signatures, authentication, key exchange, and many other more sophisticated tasks, ideal functionalities have been formulated in the simulation-based security approach, along with their realizations. Surprisingly, however, no such functionality exists for symmetric encryption, except for a more abstract Dolev-Yao style functionality. In this paper, we fill this gap. We propose two functionalities for symmetric encryption, an unauthenticated and an authenticated version, and show that they can be implemented based on standard cryptographic assumptions for symmetric encryption schemes, namely IND-CCA security and authenticated encryption, respectively. We also illustrate the usefulness of our functionalities in applications, both in simulation-based and game-based security settings.

Abstract

Coercion resistance is an important and one of the most intricate security requirements of electronic voting protocols. Several definitions of coercion resistance have been proposed in the literature, including definitions based on symbolic models. However, existing definitions in such models are rather restricted in their scope and quite complex. In this paper, we therefore propose a new definition of coercion resistance in a symbolic setting, based on an epistemic approach. Our definition is relatively simple and intuitive. It allows for a fine-grained formulation of coercion resistance and can be stated independently of a specific, symbolic protocol and adversary model. As a proof of concept, we apply our definition to three voting protocols. In particular, we carry out the first rigorous analysis of the recently proposed Civitas system. We precisely identify those conditions under which this system guarantees coercion resistance or fails to be coercion resistant. We also analyze protocols proposed by Lee et al. and Okamoto.

Abstract

Coercion resistance is an important and one of the most intricate security requirements of electronic voting protocols. Several definitions of coercion resistance have been proposed in the literature, including definitions based on symbolic models. However, existing definitions in such models are rather restricted in their scope and quite complex. In this paper, we therefore propose a new definition of coercion resistance in a symbolic setting, based on an epistemic approach. Our definition is relatively simple and intuitive. It allows for a fine-grained formulation of coercion resistance and can be stated independently of a specific, symbolic protocol and adversary model. As a proof of concept, we apply our definition to three voting protocols. In particular, we carry out the first rigorous analysis of the recently proposed Civitas system. We precisely identify those conditions under which this system guarantees coercion resistance or fails to be coercion resistant. We also analyze protocols proposed by Lee et al. and Okamoto.

Abstract

Coercion-resistance is one of the most important and intricate security requirements for voting protocols. Several definitions of coercion-resistance have been proposed in the literature, both in cryptographic settings and more abstract, symbolic models. However, unlike symbolic approaches, only very few voting protocols have been rigorously analyzed within the cryptographic setting. A major obstacle is that existing cryptographic definitions of coercion-resistance tend to be complex and limited in scope: They are often tailored to specific classes of protocols or are too demanding. In this paper, we therefore present a simple and intuitive cryptographic definition of coercion-resistance, in the style of game-based definitions. This definition allows to precisely measure the level of coercion-resistance a protocol provides. As the main technical contribution of this paper, we apply our definition to two voting systems, namely, the Bingo voting system and ThreeBallot. The results we obtain are out of the scope of existing approaches. We show that the Bingo voting system provides the same level of coercion-resistance as an ideal voting system. We also precisely measure the degradation of coercion-resistance of ThreeBallot in case the so-called short ballot assumption is not met and show that the level of coercion-resistance ThreeBallot provides is significantly lower than that of an ideal system, even in case of short ballots.

Abstract

Simulatability has established itself as a salient notion for defining and proving the security of cryptographic protocols since it entails strong security and compositionality guarantees, which are achieved by universally quantifying over all environmental behaviors of the analyzed protocol. As a consequence, however, protocols that are secure except for certain environmental behaviors are not simulatable, even if these behaviors are efficiently identifiable and thus can be prevented by the surrounding protocol. We propose a relaxation of simulatability by conditioning the permitted environmental behaviors, i.e., simulation is only required for environmental behaviors that fulfill explicitly stated constraints. This yields a more fine-grained security definition that is achievable for several protocols for which unconditional simulatability is too strict a notion, or at lower cost for the underlying cryptographic primitives. Although imposing restrictions on the environment destroys unconditional composability in general, we show that the composition of a large class of conditionally simulatable protocols yields protocols that are again simulatable under suitable conditions. This even holds for the case of cyclic assume-guarantee conditions where protocols only guarantee suitable behavior if they themselves are offered certain guarantees. Furthermore, composing several commonly investigated protocol classes with conditionally simulatable subprotocols yields protocols that are again simulatable in the standard, unconditional sense.

Abstract

We show that the insecurity problem for protocols with modular exponentiation and arbitrary products allowed in exponents is NP-complete. This result is based on a protocol and intruder model which is powerful enough to uncover known attacks on the Authenticated Group Diffie-Hellman (A-GDH.2) protocol suite. To prove our results, we develop a general framework in which the Dolev-Yao intruder is extended by generic intruder rules. This framework is also applied to obtain complexity results for protocols with commuting public key encryption.

Abstract

Several compositional forms of simulation-based security have been proposed in the literature, including universal composability, black-box simulatability, and variants thereof. These relations between a protocol and an ideal functionality are similar enough that they can be ordered from strongest to weakest according to the logical form of their definitions. However, determining whether two relations are in fact identical depends on some subtle features that have not been brought out in previous studies. We identify the position of a ``master process'' in the distributed system, and some limitations on transparent message forwarding within computational complexity bounds, as two main factors. Using a general computational framework, called Sequential Probabilistic Process Calculus (SPPC), we clarify the relationships between the simulation-based security conditions. Many of the proofs are carried out based on a small set of equivalence principles involving processes and distributed systems. These equivalences exhibit the essential properties needed to prove relationships between security notions and allow us to carry over our results to those computational models which satisfy these equivalences.

Abstract

In the Horn theory based approach for cryptographic protocol analysis, cryptographic protocols and (Dolev-Yao) intruders are modeled by Horn theories and security analysis boils down to solving the derivation problem for Horn theories. This approach and the tools based on this approach, including ProVerif, have been very successful in the automatic analysis of cryptographic protocols w.r.t. an unbounded number of sessions. However, dealing with the algebraic properties of operators such as the exclusive OR (XOR) has been problematic. In particular, ProVerif cannot deal with XOR. In this paper, we show how to reduce the derivation problem for Horn theories with XOR to the XOR-free case. Our reduction works for an expressive class of Horn theories. A large class of intruder capabilities and protocols that employ the XOR operator can be modeled by these theories. Our reduction allows us to carry out protocol analysis by tools, such as ProVerif, that cannot deal with XOR, but are very efficient in the XOR-free case. We implemented our reduction and, in combination with ProVerif, applied it in the automatic analysis of several protocols that use the XOR operator. In one case, we found a new attack.

Abstract

In the Horn theory based approach for cryptographic protocol analysis, cryptographic protocols and (Dolev-Yao) intruders are modeled by Horn theories and security analysis boils down to solving the derivation problem for Horn theories. This approach and the tools based on this approach, including ProVerif, have been very successful in the automatic analysis of cryptographic protocols w.r.t. an unbounded number of sessions. However, dealing with the algebraic properties of operators such as the exclusive OR (XOR) has been problematic. In particular, ProVerif cannot deal with XOR. In this paper, we show how to reduce the derivation problem for Horn theories with XOR to the XOR-free case. Our reduction works for an expressive class of Horn theories. A large class of intruder capabilities and protocols that employ the XOR operator can be modeled by these theories. Our reduction allows us to carry out protocol analysis by tools, such as ProVerif, that cannot deal with XOR, but are very efficient in the XOR-free case. We implemented our reduction and, in combination with ProVerif, applied it in the automatic analysis of several protocols that use the XOR operator. In one case, we found a new attack.

Abstract

Composition theorems in simulation-based approaches allow to build complex protocols from sub-protocols in a modular way. However, as first pointed out and studied by Canetti and Rabin, this modular approach often leads to impractical implementations. For example, when using a functionality for digital signatures within a more complex protocol, parties have to generate new verification and signing keys for every session of the protocol. This motivates to generalize composition theorems to so-called joint state theorems, where different copies of a functionality may share some state, e.g., the same verification and signing keys. In this paper, we present a joint state theorem which is more general than the original theorem of Canetti and Rabin, for which several problems and limitations are pointed out. We apply our theorem to obtain joint state realizations for three functionalities: public-key encryption, replayable public-key encryption, and digital signatures. Unlike most other formulations, our functionalities model that ciphertexts and signatures are computed locally, rather than being provided by the adversary. To obtain the joint state realizations, the functionalities have to be designed carefully. Other formulations are shown to be unsuitable. Our work is based on a recently proposed, rigorous model for simulation-based security by Küsters, called the IITM model. Our definitions and results demonstrate the expressivity and simplicity of this model. For example, unlike Canetti's UC model, in the IITM model no explicit joint state operator needs to be defined and the joint state theorem follows immediately from the composition theorem in the IITM model.

Abstract

Composition theorems in simulation-based approaches allow to build complex protocols from sub-protocols in a modular way. However, as first pointed out and studied by Canetti and Rabin, this modular approach often leads to impractical implementations. For example, when using a functionality for digital signatures within a more complex protocol, parties have to generate new verification and signing keys for every session of the protocol. This motivates to generalize composition theorems to so-called joint state theorems, where different copies of a functionality may share some state, e.g., the same verification and signing keys. In this paper, we present a joint state theorem which is more general than the original theorem of Canetti and Rabin, for which several problems and limitations are pointed out. We apply our theorem to obtain joint state realizations for three functionalities: public-key encryption, replayable public-key encryption, and digital signatures. Unlike most other formulations, our functionalities model that ciphertexts and signatures are computed locally, rather than being provided by the adversary. To obtain the joint state realizations, the functionalities have to be designed carefully. Other formulations are shown to be unsuitable. Our work is based on a recently proposed, rigorous model for simulation-based security by Küsters, called the IITM model. Our definitions and results demonstrate the expressivity and simplicity of this model. For example, unlike Canetti's UC model, in the IITM model no explicit joint state operator needs to be defined and the joint state theorem follows immediately from the composition theorem in the IITM model.

Abstract

The abstraction of cryptographic operations by term algebras, called Dolev-Yao models or symbolic cryptography, is essential in almost all tool-supported methods for proving security protocols. Recently significant progress was made -- using two conceptually different approaches -- in proving that Dolev-Yao models can be sound with respect to actual cryptographic realizations and security definitions. One such approach is grounded on the notion of simulatability, which constitutes a salient technique of Modern Cryptography with a longstanding history for a variety of different asks. The other approach strives for the so-called mapping soundness -- a more recent technique that is tailored to the soundness of specific security properties in Dolev-Yao models, and that can be established using more compact proofs. Typically, both notions of soundness for similar Dolev-Yao models are established separately in independent papers. In this paper, the two approaches are related for the first time. Our main result is that simulatability soundness entails mapping soundness provided that both approaches use the same cryptographic implementation. Interestingly, this result does not dependent on details of the simulator, which translates between cryptographic implementations and their Dolev-Yao abstractions in simulatability soundness. Hence, future research may well concentrate on simulatability soundness whenever applicable, and resort to mapping soundness in those cases where simulatability soundness is too strong a notion.

Abstract

The abstraction of cryptographic operations by term algebras, called Dolev-Yao models or symbolic cryptography, is essential in almost all tool-supported methods for proving security protocols. Recently significant progress was made -- using two conceptually different approaches -- in proving that Dolev-Yao models can be sound with respect to actual cryptographic realizations and security definitions. One such approach is grounded on the notion of simulatability, which constitutes a salient technique of Modern Cryptography with a longstanding history for a variety of different tasks. The other approach strives for the so-called mapping soundness -- a more recent technique that is tailored to the soundness of specific security properties in Dolev-Yao models, and that can be established using more compact proofs. Typically, both notions of soundness for similar Dolev-Yao models are established separately in independent papers. This paper relates the two approaches for the first time. Our main result is that simulatability soundness entails mapping soundness provided that both approaches use the same cryptographic implementation. Hence, future research may well concentrate on simulatability soundness whenever applicable, and resort to mapping soundness in those cases where simulatability soundness constitutes too strong a notion.

Abstract

Some cryptographic tasks, such as contract signing and other related tasks, need to ensure complex, branching time security properties. When defining such properties one needs to deal with subtle problems regarding the scheduling of non-deterministic decisions, the delivery of messages sent on resilient (non-adversarially controlled) channels, fair executions (executions where no party, both honest and dishonest, is unreasonably precluded to perform its actions), and defining strategies of adversaries against all possible non-deterministic choices of parties and arbitrary delivery of messages via resilient channels. These problems are typically not addressed in cryptographic models and these models therefore do not suffice to formalize branching time properties, such as those required of contract signing protocols. In this paper, we develop a cryptographic model that deals with all of the above problems. One central feature of our model is a general definition of fair scheduling which not only formalizes fair scheduling of resilient channels but also fair scheduling of actions of honest and dishonest principals. Based on this model and the notion of fair scheduling, we provide a definition of a prominent branching time property of contract signing protocols, namely balance, and give the first cryptographic proof that the Asokan-Shoup-Waidner two-party contract signing protocol is balanced.

Abstract

Some cryptographic tasks, such as contract signing and other related tasks, need to ensure complex, branching time security properties. When defining such properties one needs to deal with subtle problems regarding the scheduling of non-deterministic decisions, the delivery of messages sent on resilient (non-adversarially controlled) channels, fair executions (executions where no party, both honest and dishonest, is unreasonably precluded to perform its actions), and defining strategies of adversaries against all possible non-deterministic choices of parties and arbitrary delivery of messages via resilient channels. These problems are typically not addressed in cryptographic models and these models therefore do not suffice to formalize branching time properties, such as those required of contract signing protocols. In this paper, we develop a cryptographic model that deals with all of the above problems. One central feature of our model is a general definition of fair scheduling which not only formalizes fair scheduling of resilient channels but also fair scheduling of actions of honest and dishonest principals. Based on this model and the notion of fair scheduling, we provide a definition of a prominent branching time property of contract signing protocols, namely balance, and give the first cryptographic proof that the Asokan-Shoup-Waidner two-party contract signing protocol is balanced.

Abstract

Only very little is known about the automatic analysis of cryptographic protocols for game-theoretic security properties. In this paper, we therefore study decidability and complexity of the model checking problem for AMC-formulas over infinite state concurrent game structures induced by cryptographic protocols and the Dolev-Yao intruder. We show that the problem is NEXPTIME-complete when making reasonable assumptions about protocols and for an expressive fragment of AMC, which contains, for example, all properties formulated by Kremer and Raskin in fair ATL for contract-signing and non-repudiation protocols. We also prove that our assumptions on protocols are necessary to obtain decidability.

Abstract

Only very little is known about the automatic analysis of cryptographic protocols for game-theoretic security properties. In this paper, we therefore study decidability and complexity of the model checking problem for AMC-formulas over infinite state concurrent game structures induced by cryptographic protocols and the Dolev-Yao intruder. We show that the problem is NEXPTIME-complete when making reasonable assumptions about protocols and for an expressive fragment of AMC, which contains, for example, all properties formulated by Kremer and Raskin in fair ATL for contract-signing and non-repudiation protocols. We also prove that our assumptions on protocols are necessary to obtain decidability, unless other restrictions are imposed on protocols.

Abstract

Truderung's selecting theory model is one of the few models of cryptographic protocols which allows to model iterative (recursive) computations of principals and, at the same time, an automatic analysis in the following sense: there exists a procedure that checks whether in all runs of a given protocol a certain message is not revealed to an intruder. A major drawback of Truderung's model is that it allows only a finite number of constants, that is, there is no mechanism by which a principal can generate an unbounded number of fresh tokens such as nonces or session keys. We extend Truderung's model by such a mechanism and show that the extended model still allows an automatic analysis. We also demonstrate that the extended model is more appropriate to model the Recursive Authentication Protocol. It is important to know that after publication of Truderung's result it became clear that his proof only works in a restricted setting. We show that there is no hope to find a remedy to this by proving that the secrecy problem in the unrestricted setting is undecidable. In light of this, the aforementioned result about extending Truderung's model is to be read as follows. Adding anonymous constants in the restricted setting leads to a model of cryptographic protocols where insecurity is decidable.

Abstract

Logic is omnipresent in the field of security. It is used both as a tool to rigorously specify security requirements of systems and security related tasks and as a tool to verify such requirements and uncover security flaws. In this tutorial, the application of logics, in particular temporal and epistemic logics, in security will be demonstrated by several examples, including authentication and key exchange, contract signing, and anonymous communication.

Abstract

In many security protocols, such as group protocols, principals have to perform iterative or recursive computations. We call such protocols recursive protocols. Recently, first results on the decidability of the security of such protocols have been obtained. While recursive protocols often employ operators with algebraic, security relevant properties, such as the exclusive OR (XOR), the existing decision procedures, however, cannot deal with such operators and their properties. In this paper, we show that the security of recursive protocols with XOR is decidable (w.r.t. a bounded number of sessions) for a class of protocols in which recursive computations of principals are modeled by certain Horn theories. Interestingly, this result can be obtained by a reduction to the case without XOR. We also show that relaxing certain assumptions of our model lead to undecidability.

Abstract

In many security protocols, such as group protocols, principals have to perform iterative or recursive computations. We call such protocols recursive protocols. Recently, first results on the decidability of the security of such protocols have been obtained. While recursive protocols often employ operators with algebraic, security relevant properties, such as the exclusive OR (XOR), the existing decision procedures, however, cannot deal with such operators and their properties. In this paper, we show that the security of recursive protocols with XOR is decidable (w.r.t. a bounded number of sessions) for a class of protocols in which recursive computations of principals are modeled by certain Horn theories. Interestingly, this result can be obtained by a reduction to the case without XOR. We also show that relaxing certain assumptions of our model lead to undecidability.

Abstract

Cryptographic protocols can be divided into (1) protocols where the protocol steps are simple from a computational point of view and can thus be modeled by simple means, for instance, by single rewrite rules---we call these protocols non-looping---and (2) protocols, such as group protocols, where the protocol steps are complex and typically involve an iterative or recursive computation---we call them recursive. While much is known on the decidability of security for non-looping protocols, only little is known for recursive protocols. In this paper, we prove decidability of security (w.r.t. the standard Dolev-Yao intruder) for a core class of recursive protocols and undecidability for several extensions. The key ingredient of our protocol model are specifically designed tree transducers which work over infinite signatures and have the ability to generate new constants (which allow us to mimic key generation). The decidability result is based on an automata-theoretic construction which involves a new notion of regularity, designed to work well with the infinite signatures we use.

Abstract

Description logics (DLs) are a successful family of logic-based knowledge representation formalisms that can be used to represent the terminological knowledge of an application domain in a structured and formally well-founded way. DL systems provide their users with inference procedures that allow to reason about the represented knowledge. Standard inference problems (such as the subsumption and the instance problem) are now well-understood. Their computational properties (such as decidability and complexity) have been investigated in detail, and modern DL systems are equipped with highly optimized implementations of these inference procedures, which---in spite of their high worst-case complexity---perform quite well in practice. In applications of DL systems it has turned out that building and maintaining large DL knowledge bases can be further facilitated by procedures for other, non-standard inference problem, such as computing the least common subsumer and the most specific concept, and rewriting and matching of concepts. While the research concerning these non-standard inferences is not as mature as the one for the standard inferences, it has now reached a point where it makes sense to motivate these inferences within a uniform application framework, give an overview of the results obtained so far, describe the remaining open problems, and give perspectives for future research in this direction.

Abstract

Simulatability has established itself as a salient notion for defining and proving the security of cryptographic protocols since it entails strong security and compositionality guarantees, which are achieved by universally quantifying over all environmental behaviors of the analyzed protocol. As a consequence, however, protocols that are secure except for certain environmental behaviors are not simulatable, even if these behaviors are efficiently identifiable and thus can be prevented by the surrounding protocol. We propose a relaxation of simulatability by conditioning the permitted environmental behaviors, i.e., simulation is only required for environmental behaviors that fulfill explicitly stated constraints. This yields a more fine-grained security definition that is achievable for several protocols for which unconditional simulatability is too strict a notion, or at lower cost for the underlying cryptographic primitives. Although imposing restrictions on the environment destroys unconditional composability in general, we show that the composition of a large class of conditionally simulatable protocols yields protocols that are again simulatable under suitable conditions. This even holds for the case of cyclic assume-guarantee conditions where protocols only guarantee suitable behavior if they themselves are offered certain guarantees. Furthermore, composing several commonly investigated protocol classes with conditionally simulatable subprotocols yields protocols that are again simulatable in the standard, unconditional sense.

Abstract

Simulatability has established itself as a salient notion for defining and proving the security of cryptographic protocols since it entails strong security and compositionality guarantees, which are achieved by universally quantifying over all environmental behaviors of the analyzed protocol. As a consequence, however, protocols that are secure except for certain environmental behaviors are not simulatable, even if these behaviors are efficiently identifiable and thus can be prevented by the surrounding protocol. We propose a relaxation of simulatability by conditioning the permitted environmental behaviors, i.e., simulation is only required for environmental behaviors that fulfill explicitly stated constraints. This yields a more fine-grained security definition that is achievable for several protocols for which unconditional simulatability is too strict a notion, or at lower cost for the underlying cryptographic primitives. Although imposing restrictions on the environment destroys unconditional composability in general, we show that the composition of a large class of conditionally simulatable protocols yields protocols that are again simulatable under suitable conditions. This even holds for the case of cyclic assume-guarantee conditions where protocols only guarantee suitable behavior if they themselves are offered certain guarantees. Furthermore, composing several commonly investigated protocol classes with conditionally simulatable subprotocols yields protocols that are again simulatable in the standard, unconditional sense.

Abstract

The standard symbolic, deducibility-based notions of secrecy are in general insufficient from a cryptographic point of view, especially in presence of hash functions. In this paper we devise and motivate a more appropriate secrecy criterion which exactly captures a standard cryptographic notion of secrecy for protocols involving public-key enryption and hash functions: protocols that satisfy it are computationally secure while any violation of our criterion directly leads to an attack. Furthermore, we prove that our criterion is decidable via an NP decision procedure. Our results hold for standard security notions for encryption and hash functions modeled as random oracles.

Abstract

The standard symbolic, deducibility-based notions of secrecy are in general insufficient from a cryptographic point of view, especially in presence of hash functions. In this paper we devise and motivate a more appropriate secrecy criterion which exactly captures a standard cryptographic notion of secrecy for protocols involving public-key enryption and hash functions: protocols that satisfy it are computationally secure while any violation of our criterion directly leads to an attack. Furthermore, we prove that our criterion is decidable via an NP decision procedure. Our results hold for standard security notions for encryption and hash functions modeled as random oracles.

Abstract

Several compositional forms of simulation-based security have been proposed in the literature, including universal composability, black-box simulatability, and variants thereof. These relations between a protocol and an ideal functionality are similar enough that they can be ordered from strongest to weakest according to the logical form of their definitions. However, determining whether two relations are in fact identical depends on some subtle features that have not been brought out in previous studies. We identify the position of a ``master process'' in the distributed system, and some limitations on transparent message forwarding within computational complexity bounds, as two main factors. Using a general computational framework, called Sequential Probabilistic Process Calculus (SPPC), we clarify the relationships between the simulation-based security conditions. We also prove general composition theorems in SPPC. Many of the proofs are carried out based on a small set of equivalence principles involving processes and distributed systems. This gives us results that carry over to a variety of computational models.

Abstract

We propose a Dolev-Yao-based definition of abuse freeness for optimistic contract-signing protocols which, unlike other definitions, incorporates a rigorous notion of what it means for an outside party to be convinced by a dishonest party that it has the ability to determine the outcome of the protocol with an honest party, i.e., to determine whether it will obtain a valid contract itself or whether it will prevent the honest party from obtaining a valid contract. Our definition involves a new notion of test (inspired by static equivalence) which the outside party can perform. We show that an optimistic contract-signing protocol proposed by Asokan, Shoup, and Waidner is abusive and that a protocol by Garay, Jakobsson, and MacKenzie is abuse-free according to our definition. Our analysis is based on a synchronous concurrent model in which parties can receive several messages at the same time. This results in new vulnerabilities of the protocols depending on how a trusted third party reacts in case it receives abort and resolve requests at the same time.

Abstract

We propose a Dolev-Yao-based definition of abuse freeness for optimistic contract-signing protocols which, unlike other definitions, incorporates a rigorous notion of what it means for an outside party to be convinced by a dishonest party that it has the ability to determine the outcome of the protocol with an honest party, i.e., to determine whether it will obtain a valid contract itself or whether it will prevent the honest party from obtaining a valid contract. Our definition involves a new notion of test (inspired by static equivalence) which the outside party can perform. We show that an optimistic contract-signing protocol proposed by Asokan, Shoup, and Waidner is abusive and that a protocol by Garay, Jakobsson, and MacKenzie is abuse-free according to our definition. Our analysis is based on a synchronous concurrent model in which parties can receive several messages at the same time. This results in new vulnerabilities of the protocols depending on how a trusted third party reacts in case it receives abort and resolve requests at the same time.

Abstract

Recently, there has been much interest in extending models for simulation-based security in such a way that the runtime of protocols may depend on the length of their input. Finding such extensions has turned out to be a non-trivial task. In this work, we propose a simple, yet expressive general computational model for systems of Interactive Turing Machines (ITMs) where the runtime of the ITMs may be polynomial per activation and may depend on the length of the input received. One distinguishing feature of our model is that the systems of ITMs that we consider involve a generic mechanism for addressing dynamically generated copies of ITMs. We study properties of such systems and, in particular, show that systems satisfying a certain acyclicity condition run in polynomial time. Based on our general computational model, we state different notions of simulation-based security in a uniform and concise way, study their relationships, and prove a general composition theorem for composing a polynomial number of copies of protocols, where the polynomial is determined by the environment. The simplicity of our model is demonstrated by the fact that many of our results can be proved by mere equational reasoning based on a few equational principles on systems.

Abstract

Recently, there has been much interest in extending models for simulation-based security in such a way that the runtime of protocols may depend on the length of their input. Finding such extensions has turned out to be a non-trivial task. In this work, we propose a simple, yet expressive general computational model for systems of Interactive Turing Machines (ITMs) where the runtime of the ITMs may be polynomial per activation and may depend on the length of the input received. One distinguishing feature of our model is that the systems of ITMs that we consider involve a generic mechanism for addressing dynamically generated copies of ITMs. We study properties of such systems and, in particular, show that systems satisfying a certain acyclicity condition run in polynomial time. Based on our general computational model, we state different notions of simulation-based security in a uniform and concise way, study their relationships, and prove a general composition theorem for composing a polynomial number of copies of protocols, where the polynomial is determined by the environment. The simplicity of our model is demonstrated by the fact that many of our results can be proved by mere equational reasoning based on a few equational principles on systems.

Abstract

Many cryptographic protocols and attacks on these protocols make use of the fact that the order in which encryption is performed does not affect the result of the encryption, i.e., encryption is commutative. However, most models for the automatic analysis of cryptographic protocols can not handle such encryption functions since in these models the message space is considered a free term algebra. In this paper, we present an NP decision procedure for the insecurity of protocols that employ RSA encryption, which is one of the most important instances of commuting public key encryption.

Abstract

We provide a method for deciding the insecurity of cryptographic protocols in presence of the standard Dolev-Yao intruder (with a finite number of sessions) extended with so-called oracle rules, i.e., deduction rules that satisfy certain conditions. As an instance of this general framework, we obtain that protocol insecurity is in NP for an intruder that can exploit the properties of the exclusive or (XOR) operator. This operator is frequently used in cryptographic protocols but cannot be handled in most protocol models. An immediate consequence of our proof is that checking whether a message can be derived by an intruder (using XOR) is in PTIME. We also apply our framework to an intruder that exploits properties of certain encryption modes such as cipher block chaining (CBC).

Abstract

Several compositional forms of simulation-based security have been proposed in the literature, including universal composability, black-box simulatability, and variants thereof. These relations between a protocol and an ideal functionality are similar enough that they can be ordered from strongest to weakest according to the logical form of their definitions. However, determining whether two relations are in fact identical depends on some subtle features that have not been brought out in previous studies. We identify the position of a ``master process'' in the distributed system, and some limitations on transparent message forwarding within computational complexity bounds, as two main factors. Using a general computational framework, we clarify the relationships between the simulation-based security conditions.

Abstract

Research on the automatic analysis of cryptographic protocols has so far mainly concentrated on reachability properties, such as secrecy and authentication. Only recently it was shown that certain game-theoretic security properties, such as balance for contract-signing protocols, are decidable in a Dolev-Yao style model with a bounded number of sessions but unbounded message size. However, this result does not provide a practical algorithm as it merely bounds the size of attacks. In this paper, we prove that game-theoretic security properties can be decided based on standard constraint solving procedures. In the past, these procedures have successfully been employed in implementations and tools for reachability properties. Our results thus pave the way for extending these tools and implementations to deal with game-theoretic security properties.

Abstract

Research on the automatic analysis of cryptographic protocols has so far mainly concentrated on reachability properties, such as secrecy and authentication. Only recently it was shown that certain game-theoretic security properties, such as balance for contract-signing protocols, are decidable in a Dolev-Yao style model with a bounded number of sessions but unbounded message size. However, this result does not provide a practical algorithm as it merely bounds the size of attacks. In this paper, we prove that game-theoretic security properties can be decided based on standard constraint solving procedures. In the past, these procedures have successfully been employed in implementations and tools for reachability properties. Our results thus pave the way for extending these tools and implementations to deal with game-theoretic security properties.

Abstract

Research on the automatic analysis of cryptographic protocols has so far mainly concentrated on reachability properties, such as secrecy and authentication. Only recently it was shown that certain game-theoretic security properties, such as balance for contract-signing protocols, are decidable in a Dolev-Yao style model with a bounded number of sessions but unbounded message size. However, this result does not provide a practical algorithm as it merely bounds the size of attacks. In this paper, we prove that game-theoretic security properties can be decided based on standard constraint solving procedures. This paves the way for extending existing implementations and tools for reachability properties to deal with game-theoretic security properties.

Abstract

We show that for infinite transition systems induced by cryptographic protocols in the Rusinowitch/Turuani style certain fundamental branching properties are decidable. As a consequence, we obtain that crucial properties of contract-signing protocols such as balance are decidable.

Abstract

Formal analysis of cryptographic protocols has mainly concentrated on protocols with closed-ended data structures, i.e., protocols where the messages exchanged between principals have fixed and finite format. In many protocols, however, the data structures used are open-ended, i.e., messages have an unbounded number of data fields. In this paper, decidability issues for such protocols are studied. We propose a protocol model in which principals are described by transducers, i.e., finite automata with output, and show that in this model security is decidable and PSPACE-hard in presence of the standard Dolev-Yao intruder.

Abstract

The least common subsumer (lcs) of a set of concept descriptions is the most specific concept description that subsumes all of the concept descriptions in the given set. By computing the lcs, commonalities between concept descriptions can be made explicit. This is an important inference task useful in several applications, including, for instance, the bottom-up construction of description logic knowledge bases. Previous work on the lcs has concentrated on description logics that either allow for number restrictions or for existential restrictions. Many applications, however, require to combine these constructors. In this work, we present an algorithm for computing the lcs in the description logic ALEN which comprises both constructors---number and existential restrictions---as well as concept conjunction, primitive negation, and value restrictions. To prove correctness of our lcs algorithm, we develop a structural characterization of subsumption in ALEN.

Abstract

Many cryptographic protocols and attacks on these protocols make use of the fact that the order in which encryption is performed does not affect the result of the encryption, i.e., encryption is commutative. However, most models for the automatic analysis of cryptographic protocols can not handle such encryption functions since in these models the message space is considered a free term algebra. In this paper, we present an NP decision procedure for the insecurity of protocols that employ RSA encryption, which is one of the most important instances of commuting public key encryption.

Abstract

Several compositional forms of simulation-based security have been proposed in the literature, including universal composability, black-box simulatability, and variants thereof. These relations between protocols and ideal functionalities are similar enough that they can be ordered from strongest to weakest according to the logical form of their definitions. However, determining whether two relations are in fact identical depends on some subtle features that have not been brought out in previous studies. We identify the position of a ``master process'' in the distributed system, and some issues involving computational complexity and message forwarding, as two main factors. Using these distinctions, we prove necessary and sufficient conditions under which all notions are equivalent.

Abstract

Several related research efforts have led to three different ways of specifying protocol security properties by simulation or equivalence. Abstracting the specification conditions away from the computational frameworks in which they have been previously applied, we show that when asynchronous communication is used, universal composability, black-box simulatability, and process equivalence express the same properties of a protocol. Further, the equivalence between these conditions holds for any computational framework, such as process calculus, that satisfies certain structural properties. Similar but slightly weaker results are achieved for synchronous communication.

Abstract

We show that for infinite transition systems induced by cryptographic protocols in the Rusinowitch/Turuani style with finite number of sessions, unbounded message size, and the Dolev-Yao intruder certain fundamental branching properties are decidable. As a consequence, we obtain that crucial properties of contract-signing protocols such as balance are decidable.

Abstract

Cryptographic protocols can be divided into (1) protocols where the protocol steps are simple from a computational point of view and can thus be modeled by simple means, for instance, single rewrite rules---we call these protocols non-looping---and (2) protocols, such as group protocols, where the protocol steps are complex and typically involve an iterative or recursive computation---we call them recursive. While much is known on the decidability of security for non-looping protocols, only little is known for recursive protocols. In this paper, we prove decidability of security (w.r.t. the standard Dolev-Yao intruder) for a core class of recursive protocols and undecidability for several extensions. The key ingredient of our protocol model are specifically designed tree transducers which work over infinite signatures and have the ability to generate new constants (which allow us to mimic key generation). The decidability result is based on an automata-theoretic construction which involves a new notion of regularity, designed to work well with the infinite signatures we use.

Abstract

Description Logics (DLs) are a family of knowledge representation formalisms used for terminological reasoning. They have a wide range of applications such as medical knowledge-bases, or the semantic web. Research on DLs has been focused on the development of sound and complete inference algorithms to decide satisfiability and subsumption for increasingly expressive DLs. Non-standard inferences are a group of relatively new inference services which provide reasoning support for constructing and maintaining DL knowledge-bases. So far, non-standard inferences are not available for very expressive DLs. In this paper we present first results on non-standard inferences for DLs with transitive roles. As a basis, we give a structural characterization of subsumption for DLs where existential and value restrictions can be imposed on transitive roles. We propose sound and complete algorithms to compute the least common subsumer (lcs).

Abstract

We present an NP decision procedure for the formal analysis of protocols in presence of modular exponentiation with products allowed in exponents. The number of factors that may appear in the products is unlimited. We illustrate that our model is powerful enough to uncover known attacks on the A-GDH.2 protocol suite.

Abstract

We provide a method for deciding the insecurity of cryptographic protocols in presence of the standard Dolev-Yao intruder (with a finite number of sessions) extended with so-called oracle rules, i.e., deduction rules that satisfy certain conditions. As an instance of this general framework, we obtain that protocol insecurity is in NP for an intruder that can exploit the properties of the XOR operator. This operator is frequently used in cryptographic protocols but cannot be handled in most protocol models. We also apply our framework to an intruder that exploits properties of certain encryption modes such as cipher block chaining (CBC).

Abstract

We provide a method for deciding the insecurity of cryptographic protocols in presence of the standard Dolev-Yao intruder (with a finite number of sessions) extended with so-called oracle rules, i.e., deduction rules that satisfy certain conditions. As an instance of this general framework, we obtain that protocol insecurity is in NP for an intruder that can exploit the properties of the XOR operator. This operator is frequently used in cryptographic protocols but cannot be handled in most protocol models. An immediate consequence of our proof is that checking whether a message can be derived by an intruder (using XOR) is in P. We also apply our framework to an intruder that exploits properties of certain encryption modes such as cipher block chaining (CBC).

Abstract

We present an NP decision procedure for the formal analysis of protocols in presence of modular exponentiation with products allowed in exponents. The number of factors that may appear in the products is unlimited. We illustrate that our model is powerful enough to uncover known attacks on the A-GDH.2 protocol suite.

Abstract

We propose a protocol model which integrates two different ways of analyzing cryptographic protocols: i) analysis w.r.t. an unbounded number of sessions and bounded message size, and ii) analysis w.r.t. an a priori bounded number of sessions but with messages of unbounded size. We show that in this model secrecy is DEXPTIME-complete. This result is obtained by extending the Dolev-Yao intruder to simulate unbounded number of sessions.

Abstract

In many cryptographic protocols, the actions performed by principals are iterative processes. However, in contrast to other classes of protocols, only very little is known about deciding the security of such protocols. To analyze decidability for these protocols, we propose a protocol model in which the actions of principals are described by tree transducers with regular look-ahead. The main result is that security in this model is decidable and EXPTIME-hard in presence of the standard Dolev-Yao intruder.

Abstract

Cryptographic protocols can be divided into (1) protocols where the protocol steps are simple from a computational point of view and can thus be modeled by simple means, for instance, single rewrite rules---we call these protocols non-looping---and (2) protocols, such as group protocols, where the protocol steps are complex and typically involve an iterative or recursive computation---we call them recursive. While many results on the decidability of security are known for non-looping protocols, only little is known for recursive protocols. In this paper, we prove decidability of security (w.r.t. the standard Dolev-Yao intruder) for a core class of recursive protocols and undecidability for several extensions. The key ingredient of our protocol model are specifically designed tree transducers which work over infinite signatures and have the ability to generate new constants (which allow us to mimic key generation). The decidability result is based on an automata-theoretic construction which involves a new notion of regularity, designed to work well with the infinite signatures we use.

Abstract

Unification of concept descriptions was introduced by Baader and Narendran as a new inference service for detecting and avoiding redundancies in description logic (DL) knowledge bases. Unification considers concept patterns, i.e., concept descriptions with variables, and tries to make these descriptions equivalent by replacing the variables by appropriate concept descriptions. Baader and Narendran have shown that unification in FL0, a DL that allows for the top concept, concept conjunction, and value restrictions, unification is an ExpTime-complete problem. This result was extended by Baader and Kuesters, who have shown that unification is still ExpTime-complete for the DL FLreg, which extends FL0 by the role constructors union, composition, and transitive closure. They also showed that solvable FLreg-unification problem always have least unifiers. In the present paper we extend these results to a DL, which extends FLreg by the bottom concept. This result strongly depends on the existence of least unifiers in FLreg.

Abstract

Approximating a concept, defined in one DL, means to translate this concept to another concept, defined in a second typically less expressive DL, such that both concepts are as closely related as possible with respect to subsumption. In a previous work, we have provided an algorithm for approximating ALC-concept descriptions by ALE-concept descriptions. In the present paper, motivated by an application in chemical process engineering, we extend this result by taking number restrictions into account.

Abstract

Approximation is a new inference service in Description Logics first mentioned by Baader, Kuesters, and Molitor. Approximating a concept, defined in one Description Logic, means to translate this concept to another concept, defined in a second typically less expressive Description Logic, such that both concepts are as closely related as possible with respect to subsumption. The present paper provides the first in-depth investigation of this inference task. We prove that approximations from the Description Logic ALC to ALE always exist and propose an algorithm computing them. As a measure for the accuracy of the approximation, we introduce a syntax-oriented difference operator, which yields a concept that contains all aspects of the approximated concept that are not present in the approximation. It is also argued that a purely semantical difference operator, as introduced by Teege, is less suited for this purpose. Finally, for the logics under consideration, we propose an algorithm computing the difference.

Abstract

Formal analysis of cryptographic protocols has mainly concentrated on protocols with closed-ended data structures, where closed-ended data structure means that the messages exchanged between principals have fixed and finite format. However, in many protocols the data structures used are open-ended, i.e., messages have an unbounded number of data fields. Formal analysis of protocols with open-ended data structures is one of the challenges pointed out by Meadows. This work studies decidability issues for such protocols. We propose a protocol model in which principals are described by transducers, i.e., finite automata with output, and show that in this model security is decidable and PSPACE-hard in presence of the standard Dolev-Yao intruder.

Abstract

Formal analysis of cryptographic protocols has mainly concentrated on protocols with closed-ended data structures. That is, the messages exchanged between principals have fixed and finite format. However, in many protocols the data structures used are open-ended, i.e., messages have an unbounded number of data fields. Formal analysis of protocols with open-ended data structures is one of the challenges pointed out by Meadows. This work studies decidability issues for such protocols. We propose a protocol model in which principals are described by transducers, i.e., finite automata with output, and show that in this model security -- in presence of the standard Dolev-Yao intruder -- is decidable and PSPACE-hard.

Abstract

Formal analysis of cryptographic protocols has mainly concentrated on protocols with closed-ended data structures. That is, the messages exchanged between principals have fixed and finite format. However, in many protocols the data structures used are open-ended, i.e., messages have an unbounded number of data fields. This work studies decidability issues for protocols with open-ended data structures. We propose a protocol model in which principals are described by transducers, i.e., finite automata with output, and show that in this model security -- in presence of the standard Dolev-Yao intruder -- is decidable and PSPACE-hard.

Abstract

Computing the most specific concept (msc) is an inference task that allows to abstract from individuals defined in description logic (DL) knowledge bases. For DLs that allow for existential restrictions or number restrictions, however, the msc need not exist unless one allows for cyclic concepts interpreted with the greatest fixed-point semantics. Since such concepts cannot be handled by current DL-systems, we propose to approximate the msc. We show that for the DL ALE, which has concept conjunction, a restricted form of negation, existential restrictions, and value restrictions as constructors, approximations of the msc always exist and can effectively be computed.

Abstract

We show that the following problem is decidable and complete for deterministic exponential time. Given a formula of modal mu-calculus, determine if the formula is equivalent to a formula without greatest fixed point operators. In other words, we show that the first level of the mu-calculus fixed point alternation hierarchy is decidable in deterministic exponential time.

Abstract

We show that the following problem is decidable and complete for deterministic exponential time. Given a formula of modal mu-calculus, determine if the formula is equivalent to a formula without greatest fixed point operators. In other words, we show that the first level of the mu-calculus fixed point alternation hierarchy is decidable in deterministic exponential time.

Abstract

Whereas matching in Description Logics is now relatively well-investigated, there are only very few formal results on matching under additional side conditions, though these side conditions were already present in the original paper by Borgida and McGuinness introducing matching in DLs. The present paper closes this gap for the DL ALN and its sublanguages: matching under subsumption conditions remains polynomial, while strict subsumption conditions increase the complexity to NP.

Abstract

Whereas matching in Description Logics is now relatively well-investigated, there are only very few formal results on matching under additional side conditions, though these side conditions were already present in the original paper by Borgida and McGuinness introducing matching in DLs. The present paper closes this gap for the DL ALN and its sublanguages.

Abstract

Unification of concept descriptions was introduced by Baader and Narendran as a tool for detecting redundancies in knowledge bases. It was shown that unification in the small description logic FL0, which allows for conjunction, value restriction, and the top concept only, is already ExpTime complete. The present paper shows that the complexity does not increase if one additionally allows for composition, union, and transitive closure of roles. It also shows that matching (which is polynomial in FL0) is PSpace-complete in the extended description logic.

Abstract

Unification of concept descriptions was introduced by Baader and Narendran as a tool for detecting redundancies in knowledge bases. It was shown that unification in the small description logic FL0, which allows for conjunction, value restriction, and the top concept only, is already ExpTime-complete. The present paper shows that the complexity does not increase if one additionally allows for composition, union, and transitive closure of roles. It also shows that matching (which is polynomial in FL0) is PSpace-complete in the extended description logic. These results are proved via a reduction to linear equations over regular languages, which are then solved using automata. The obtained results are also of interest in formal language theory.

Abstract

Unification of concept descriptions was introduced by Baader and Narendran as a tool for detecting redundancies in knowledge bases. It was shown that unification in the small description logic FL_0, which allows for conjunction, value restriction, and the top concept only, is already ExpTime-complete. The present paper shows that the complexity does not increase if one additionally allows for composition, union, and transitive closure of roles. It also shows that matching (which is polynomial in FL_0) is PSpace-complete in the extended description logic. These results are proved via a reduction to linear equations over regular languages, which are then solved using automata. The obtained results are also of interest in formal language theory.

Abstract

Description Logics (DLs) are used to represent terminological knowledge, i.e., concepts, objects, and their relationships. Intensive research on DLs during the last fifteen years led to highly optimized systems that allow to reason about DL-knowledge bases. The main feature of such DL-systems are inference services testing consistency of knowledge bases and computing subconcept/superconcept hierarchies. However, as first observed at the AT&T Labs, applications often require additional "non-standard" inferences to support the construction and maintenance of knowledge bases. This book provides a formal foundation of the most prominent non-standard inferences including precise definitions, complete algorithms, and thorough complexity analyses.

Abstract

Functional relationships between objects, called ättributes", are of considerable importance in knowledge representation languages, including Description Logics (DLs). A study of the literature indicates that papers have made, often implicitly, different assumptions about the nature of attributes: whether they are always required to have a value, or whether they can be partial functions. The work presented here is the first explicit study of this difference for subclasses of the CLASSIC DL, involving the same-as concept constructor. It is shown that although determining subsumption between concept descriptions has the same complexity (though requiring different algorithms), the story is different in the case of determining the least common subsumer (lcs). For attributes interpreted as partial functions, the lcs exists and can be computed relatively easily; even in this case our results correct and extend three previous papers about the lcs of DLs. In the case where attributes must have a value, the lcs may not exist, and even if it exists it may be of exponential size. Interestingly, it is possible to decide in polynomial time if the lcs exists.

Abstract

Computing the least common subsumer (lcs) has proved to be useful in a variety of different applications. Previous work on the lcs has concentrated on description logics that either allow for number restrictions or for existential restrictions. Many applications, however, require to combine these constructors. In this work, we present an lcs algorithm for the description logic ALEN, which allows for both constructors, thereby correcting previous algorithms proposed in the literature.

Abstract

Computing the most specific concept (msc) is an inference task that allows to abstract from individuals defined in description logic (DL) knowledge bases. For DLs that allow for existential restrictions or number restrictions, however, the msc need not exist unless one allows for cyclic concepts interpreted with the greatest fixed-point semantics. Since such concepts cannot be handled by current DL-systems, we propose to approximate the msc. We show that for the DL ALE, which has concept conjunction, a restricted form of negation, existential restrictions, and value restrictions as constructors, approximations of the msc always exist and can effectively be computed.

Abstract

Matching of concepts against patterns is a new inference task in Description Logics, which was originally motivated by applications of the CLASSIC system. Consequently, the work on this problem was until now mostly concerned with sublanguages of the CLASSIC language, which does not allow for existential restrictions. This paper extends the existing work on matching in two directions. On the one hand, the question of what are the most ``interesting" solutions of matching problems is explored in more detail. On the other hand, for languages with existential restrictions both, the complexity of deciding the solvability of matching problems and the complexity of actually computing sets of ``interesting" matchers are determined. The results show that existential restrictions make these computational tasks more complex. Whereas for sublanguages of CLASSIC both problems could be solved in polynomial time, this is no longer possible for languages with existential restrictions.

Abstract

The problem of rewriting a concept given a terminology can informally be stated as follows: given a terminology T (i.e., a set of concept definitions) and a concept description C that does not contain concept names defined in T, can this description be rewritten into a related "better" description E by using (some of) the names defined in T? In this paper, we first introduce a general framework for the rewriting problem in description logics, and then concentrate on one specific instance of the framework, namely the minimal rewriting problem (where "better" means shorter, and "related" means equivalent). We investigate the complexity of the decision problem induced by the minimal rewriting problem for the languages FL0, ALN, ALE, and ALC, and then introduce an algorithm for computing (minimal) rewritings for the language ALE. (In the full paper, a similar algorithm is also developed for ALN.) Finally, we sketch other interesting instances of the framework. Our interest for the minimal rewriting problem stems from the fact that algorithms for non-standard inferences, such as computing least common subsumers and matchers, usually produce concept descriptions not containing defined names. Consequently, these descriptions are rather large and hard to read and comprehend. First experiments in a chemical process engineering application show that rewriting can reduce the size of concept descriptions obtained as least common subsumers by almost two orders of magnitude.

Abstract

The problem of rewriting a concept given a terminology can informally be stated as follows: given a terminology T (i.e., a set of concept definitions) and a concept description C that does not contain concept names defined in T, can this description be rewritten into a "related better" description E by using (some of) the names defined in T? In this paper, we first introduce a general framework for the rewriting problem in description logics, and then concentrate on one specific instance of the framework, namely the minimal rewriting problem (where "better" means shorter, and "related" means equivalent). We investigate the complexity of the decision problem induced by the minimal rewriting problem for the languages FL0, ALN, ALE, and ALC, and then introduce an algorithm for computing (minimal) rewritings for the languages ALE and ALN. Finally, we sketch other interesting instances of the framework. Our interest for the minimal rewriting problem stems from the fact that algorithms for non-standard inferences, such as computing least common subsumers and matchers, usually produce concept descriptions not containing defined names. Consequently, these descriptions are rather large and hard to read and comprehend. First experiments in a chemical process engineering application show that rewriting can reduce the size of concept descriptions obtained as least common subsumers by almost two orders of magnitude.

Abstract

One approach to integrating knowledge bases is based on finding assertions that relate the expressions in the constituent terminologies. For knowledge bases with many terms this task requires computer support. We set up a formal framework for merging Description Logic TBoxes, and then explore the limits of a purely structural approach to the problem of finding inter-relationships between knowledge bases. Some theoretical notions are empirically examined in a real medical ontology (GALEN).

Abstract

Computing the most specific concept (msc) is an inference task that can be used to support the "bottom-up" construction of knowledge bases for KR systems based on description logics. For description logics that allow for number restrictions or existential restrictions, the msc need not exist, though. Previous work on this problem has concentrated on description logics that allow for universal value restrictions and number restrictions, but not for existential restrictions. The main new contribution of this paper is the treatment of description logics with existential restrictions. More precisely, we show that, for the description logic ALE (which allows for conjunction, universal value restrictions, existential restrictions, negation of atomic concepts, as well as the top and the bottom concept), and its sublanguages EL (which allows for conjunction, existential restrictions and the top-concept) and EL- (which extends EL by negation of atomic concepts) the msc of an ABox-individual only exists in case of acyclic ABoxes. For cyclic ABoxes, we show how to compute an approximation of the msc. Our approach for computing the msc and its approximation, respectively, is based on representing concept descriptions by certain trees and ABoxes by certain graphs, and then characterizing instance relationships by homomorphisms from trees into graphs. The msc/approximation operation then mainly corresponds to unraveling the graphs into trees and translating them back into concept descriptions.

Abstract

Computing the least common subsumer (lcs) in description logics is an inference task first introduced for sublanguages of CLASSIC. Roughly speaking, the lcs of a set of concept descriptions is the most specific concept description that subsumes all of the input descriptions. As such, the lcs allows to extract the commonalities from given concept descriptions, a task essential for several applications like, e.g., inductive learning, information retrieval, or the bottom-up construction of KR-knowledge bases. Previous work on the lcs has concentrated on description logics that either allow for number restrictions or for existential restrictions. Many applications, however, require to combine these constructors. In this work, we present an lcs algorithm for the description logic ALEN, which allows for both constructors (as well as concept conjunction, primitive negation, and value restrictions). The proof of correctness of our lcs algorithm is based on an appropriate structural characterization of subsumption in ALEN also introduced in this paper.

Abstract

Computing the least common subsumer (lcs) is an inference task that can be used to support the "bottom-up" construction of knowledge bases for KR systems based on description logics. Previous work on how to compute the lcs has concentrated on description logics that allow for universal value restrictions, but not for existential restrictions. The main new contribution of this paper is the treatment of description logics with existential restrictions. Our approach for computing the lcs is based on an appropriate representation of concept descriptions by certain trees, and a characterization of subsumption by homomorphisms between these trees. The lcs operation then corresponds to the product operation on trees.

Abstract

Matching concepts against patterns (concepts with variables) is a relatively new operation that has been introduced in the context of concept description languages (description logics). The original goal was to help filter out unimportant aspects of complicated concepts appearing in large industrial knowledge bases. We propose a new approach to performing matching, based on a ``concept-centered'' normal form, rather than the more standard ``structural subsumption'' normal form for concepts. As a result, matching can be performed (in polynomial time) using arbitrary concept patterns of the description language ALN, thus removing restrictions from previous work. The paper also addresses the question of matching problems with additional ``side conditions'', which were motivated by practical needs.

Abstract

Matching of concepts with variables (concept patterns) is a relatively new operation that has been introduced in the context of description logics, originally to help filter out unimportant aspects of large concepts appearing in industrial-strength knowledge bases. Previous work on this problem has produced polynomial-time matching algorithms for sublanguages of the DL used in CLASSIC. Consequently, these algorithms cannot handle existential restrictions. In this paper, we consider matching in DLs allowing for existential restrictions. We describe decision procedures that test solvability of matching problems as well as algorithms for computing complete sets of matchers. Unfortunately, these algorithms are no longer polynomial-time, even for the small language EL, which allows for the top concept, conjunction and existential restrictions.

Abstract

Matching of concepts with variables (concept patterns) is a relatively new operation that has been introduced in the context of description logics, originally to help filter out unimportant aspects of large concepts appearing in industrial-strength knowledge bases. Previous work has concentrated on (sub-)languages of CLASSIC, which in particular do not allow for existential restrictions. In this work, we present sound and complete decision algorithms for the solvability of matching problems and for computing sets of matchers for matching problems in description logics with existential restrictions.

Abstract

Matching of concepts against patterns is a new inference task in Description Logics, which was originally motivated by applications of the Classic system. Consequently, the work on this problem was until now mostly concerned with sublanguages of the Classic language, which does not allow for existential restrictions. Motivated by an application in chemical process engineering, which requires a description language with existential restrictions, this paper investigates the matching problem in Description Logics with existential restrictions. It turns out that existential restrictions make matching more complex in two respects. First, whereas matching in sublanguages of Classic is polynomial, deciding the existence of matchers is an NP-complete problem in the presence of existential restrictions. Second, whereas in sublanguages of Classic solvable matching problems have a unique least matcher, this is not the case for languages with existential restrictions. Thus, it is not a priori clear which of the (possibly infinitely many) matchers should be returned by a matching algorithm. After determining the complexity of the decision problem, the present paper first investigates the question of what are "interesting" sets of matchers, and then describes algorithms for computing these sets for the languages EL (which allows for conjunction and existential restrictions) and ALE.

Abstract

The problem of rewriting a concept given a terminology can informally be stated as follows: given a terminology T (i.e., a set of concept definitions) and a concept description C that does not contain concept names defined in T, can this description be rewritten into a "related better" description E by using (some of) the names defined in T? In this paper, we first introduce a general framework for the rewriting problem in description logics, and then concentrate on one specific instance of the framework, namely the minimal rewriting problem (where "better" means shorter, and "related" means equivalent). We investigate the complexity of the decision problem induced by the minimal rewriting problem for the languages FL0, ALN, ALE, and ALC, and then introduce an algorithm for computing (minimal) rewritings for the languages ALE and ALN. Finally, we sketch other interesting instances of the framework. Our interest for the minimal rewriting problem stems from the fact that algorithms for non-standard inferences, such as computing least common subsumers and matchers, usually produce concept descriptions not containing defined names. Consequently, these descriptions are rather large and hard to read and comprehend. First experiments in a chemical process engineering application show that rewriting can reduce the size of concept descriptions obtained as least common subsumers by almost two orders of magnitude.

Abstract

We address the problem of integrating two content-based knowledge bases. It is well known that even the same slice of reality can be modeled in various ways. This ranges from single morphological variants of identifiers to reification of relationships. Hence, human intervention is required in order to set up some kind of correspondence mapping between the knowledge bases. However, modern real-life ontologies, such as the Galen medical ontology, are so large that it seems not feasible for humans to perform this task without computer aid. We therefore aim at exploiting the structural information to help find candidate equivalent concepts from one ontology to the other. To this end, we have set up a formal framework for correspondence mappings and have investigated limitations of structural information to find such mappings. Finally, first algorithmic and empirical results have been presented.

Abstract

Functional relationships between objects, called ``attributes'', are of considerable importance in knowledge representation languages, including Description Logics (DLs). A study of the literature indicates that papers have made, often implicitly, different assumptions about the nature of attributes: whether they are always required to have a value, or whether they can be partial functions. The work presented here is the first explicit study of this difference for (sub-)classes of the CLASSIC DL, involving the same-as concept constructor. It is shown that although determining subsumption between concept descriptions has the same complexity (though requiring different algorithms), the story is different in the case of determining the least common subsumer (lcs). For attributes interpreted as partial functions, the lcs exists and can be computed relatively easily; even in this case our results correct and extend three previous papers about the lcs of DLs. In the case where attributes must have a value, the lcs may not exist, and even if it exists it may be of exponential size. Interestingly, it is possible to decide in polynomial time if the lcs exists.

Abstract

This paper compares two approaches for deriving subsumption algorithms for the description logic ALN: structural subsumption and an automata-theoretic characterization of subsumption. It turns out that structural subsumption algorithms can be seen as special implementations of the automata-theoretic characterization.

Abstract

Computing least common subsumers (lcs) and most specific concepts (msc) are inference tasks that can be used to support the ``bottom up'' construction of knowledge bases for KR systems based on description logic. For the description logic ALN, the msc need not always exist if one restricts the attention to acyclic concept descriptions. In this paper, we extend the notions lcs and msc to cyclic descriptions, and show how they can be computed. Our approach is based on the automata-theoretic characterizations of fixed-point semantics for cyclic terminologies developed in previous papers.

Abstract

Computing least common subsumers (lcs) and most specific concepts (msc) are inference tasks that can be used to support the ``bottom up'' construction of knowledge bases for KR systems based on description logic. For the description logic ALN, the msc need not always exist if one restricts the attention to acyclic concept descriptions. In this paper, we extend the notions lcs and msc to cyclic descriptions, and show how they can be computed. Our approach is based on the automata-theoretic characterizations of fixed-point semantics for cyclic terminologies developed in previous papers.

Abstract

Computing least common subsumers (lcs) and most specific concepts (msc) are inference tasks that can be used to support the ``bottom up'' construction of knowledge bases for KR systems based on description logic. For the description logic ALN, the msc need not always exist if one restricts the attention to acyclic concept descriptions. In this paper, we extend the notions lcs and msc to cyclic descriptions, and show how they can be computed. Our approach is based on the automata-theoretic characterizations of fixed-point semantics for cyclic terminologies developed in previous papers.

Abstract

This paper compares two approaches for deriving subsumption algorithms for the description logic ALN: structural subsumption and an automata-theoretic characterization of subsumption. It turns out that structural subsumption algorithms can be seen as special implementations of the automata-theoretic characterization.

Abstract

Computing least common subsumers (lcs) is an inference task that can be used to support the "bottom-up" construction of knowledge bases for KR systems based on description logics. Previous work on how to compute the lcs has concentrated on description logics that allow for universal value restrictions, but not for existential restrictions. The main new contribution of this paper is the treatment of description logics with existential restrictions. More precisely, we show that, for the description logic ALE (which allows for conjunction, universal value restrictions, existential restrictions, negation of atomic concepts, as well as the top and the bottom concept), the lcs always exists and can effectively be computed. Our approach for computing the lcs is based on an appropriate representation of concept descriptions by certain trees, and a characterization of subsumption by homomorphisms between these trees. The lcs operation then corresponds to the product operation on trees.

Abstract

The representation of terminological knowledge may naturally lead to terminological cycles. In addition to descriptive semantics, the meaning of cyclic terminologies can also be captured by fixed-point semantics, namely, greatest and least fixed-point semantics. To gain a more profound understanding of these semantics and to obtain inference algorithms as well as complexity results for inconsistency, subsumption, and related inference tasks, this paper provides automata theoretic characterizations of these semantics. More precisely, the already existing results for FL0 are extended to the language ALN, which additionally allows for primitive negation and number-restric\-tions. Unlike FL0, the language ALN allows to express inconsistent concepts, which makes non-trivial extensions of the characterizations and algorithms necessary. Nevertheless, the complexity of reasoning does not increase when going from FL0 to ALN. This distinguishes ALN from the very expressive languages with fixed-point operators proposed in the literature. It will be shown, however, that cyclic ALN-terminologies are expressive enough to capture schemas in certain semantic data models.

Abstract

The representation of terminological knowledge may naturally lead to terminological cycles. In addition to descriptive semantics, the meaning of cyclic terminologies can also be captured by fixed-point semantics. To gain a more profound understanding of these semantics and to obtain inference algorithms for inconsistency, subsumption, and related inference tasks, this paper provides automata theoretic characterizations of these semantics. The already existing results for the language FL_0 are extended to ALN, which additionally allows for primitive negation and number-restrictions. Moreover, this work considers the relationship between certain schemas and ALN-terminologies.

Abstract

The representation of terminological knowledge may naturally lead to terminological cycles. In addition to descriptive semantics, the meaning of cyclic terminologies can also be captured by fixed-point semantics, namely, greatest and least fixed-point semantics. To gain a more profound understanding of these semantics and to obtain inference algorithms as well as complexity results for inconsistency, subsumption, and related inference tasks, this paper provides automata theoretic characterizations of these semantics. More precisely, the already existing results for FL_0 are extended to the language ALN, which additionally allows for primitive negation and number-restrictions. Unlike FL_0, the language ALN can express inconsistent concepts, which makes non-trivial extensions of the characterizations and algorithms necessary. Nevertheless, the complexity of reasoning does not increase when going from FL_0 to ALN. This distinguishes ALN from the very expressive languages with fixed-point operators proposed in the literature. It will be shown, however, that cyclic ALN-terminologies are expressive enough to capture schemata in certain semantic data models.