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Simple and flexible universal composability : definition of a framework and applications

Daniel Rausch

Published Jan 1, 2020• 0 citations
Publisher

Abstract

Security protocols, such as TLS, SSH, IEEE~802.11, and DNSSEC, have become crucial tools in modern society to protect people, data, and infrastructure. They are used throughout virtually all electronic devices to achieve a wide range of different security goals, such as confidentiality, authentication, and integrity. As the long history of attacks on security protocols illustrates, it is indispensable to perform a formal security analysis of such protocols. A central tool in cryptography for taming the complexity of the design and the analysis of modern protocols is modularity, provided by security models for universal composability. Such models allow for designing and analyzing small parts of a protocol in isolation and then reusing these security results in the context of the overall protocol. This is not just easier than analyzing the whole protocol as a monolithic block but also reduces the overall effort required in building and analyzing multiple different protocols based on the same underlying components, such as cryptographic primitives. Ideally, a model for universal composability should support a protocol designer in easily creating full, precise, and detailed specifications as well as sound security proofs of various protocols for various types of adversarial models, instead of being an additional obstacle one has to overcome during a security analysis. In particular, such a model should be sound, flexible/expressive, and easy to use. Unfortunately, despite the wide spread use of models for universal composability, existing models and frameworks are still unsatisfying in these respects as none combines all of these requirements simultaneously. In this thesis we therefore develop a model for universal composability, called the iUC framework, which combines soundness, usability, and flexibility in a so far unmatched way, and hence constitutes a solid framework for designing and analyzing essentially any protocol and application in a modular, universally composable, and sound manner. We use our model in a case study to analyze multiple different key exchange protocols precisely as they are deployed in practice. This illustrates the combination of both flexibility and usability of our model. This case study is also an important independent contribution as this is the first faithful security analysis of these unmodified protocols in a universal composability setting.

DOI
10.18419/opus-11125

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Security protocols, such as TLS, SSH, IEEE~802.11, and DNSSEC, have become crucial tools in modern society to protect people, data, and infrastructure. They are used throughout virtually all electronic devices to achieve a wide range of different security goals, such as confidentiality, authentication, and integrity. As the long history of attacks on security protocols illustrates, it is indispensable to perform a formal security analysis of such protocols. A central tool in cryptography for taming the complexity of the design and the analysis of modern protocols is modularity, provided by security models for universal composability. Such models allow for designing and analyzing small parts of a protocol in isolation and then reusing these security results in the context of the overall protocol. This is not just easier than analyzing the whole protocol as a monolithic block but also reduces the overall effort required in building and analyzing multiple different protocols based on the same underlying components, such as cryptographic primitives. Ideally, a model for universal composability should support a protocol designer in easily creating full, precise, and detailed specifications as well as sound security proofs of various protocols for various types of adversarial models, instead of being an additional obstacle one has to overcome during a security analysis. In particular, such a model should be sound, flexible/expressive, and easy to use. Unfortunately, despite the wide spread use of models for universal composability, existing models and frameworks are still unsatisfying in these respects as none combines all of these requirements simultaneously. In this thesis we therefore develop a model for universal composability, called the iUC framework, which combines soundness, usability, and flexibility in a so far unmatched way, and hence constitutes a solid framework for designing and analyzing essentially any protocol and application in a modular, universally composable, and sound manner. We use our model in a case study to analyze multiple different key exchange protocols precisely as they are deployed in practice. This illustrates the combination of both flexibility and usability of our model. This case study is also an important independent contribution as this is the first faithful security analysis of these unmodified protocols in a universal composability setting.
We present a general framework for representing cryptographic protocols and analyzing their security. The framework allows specifying the security requirements of practically any cryptographic task in a unified and systematic way. Furthermore, in this framework the security of protocols is preserved under a general protocol composition operation, called universal composition. The proposed framework with its security-preserving composition operation allows for modular design and analysis of complex cryptographic protocols from relatively simple building blocks. Moreover, within this framework, protocols are guaranteed to maintain their security in any context, even in the presence of an unbounded number of arbitrary protocol instances that run concurrently in an adversarially controlled manner. This is a useful guarantee, that allows arguing about the security of cryptographic protocols in complex and unpredictable environments such as modern communication networks.
This work presents a general framework for describing cryptographic protocols and analyzing their security. The framework allows specifying the security requirements of practically any cryptographic task in a unified and systematic way. Furthermore, in this framework the security of protocols is preserved under a general composition operation, called universal composition. The proposed framework with its security-preserving composition operation allows for modular design and analysis of complex cryptographic protocols from simpler building blocks. Moreover, within this framework, protocols are guaranteed to maintain their security in any context, even in the presence of an unbounded number of arbitrary protocol sessions that run concurrently in an adversarially controlled manner. This is a useful guarantee, which allows arguing about the security of cryptographic protocols in complex and unpredictable environments such as modern communication networks.
Recently some efforts were made towards capturing the security requirements from digital signature schemes as an ideal functionality within a composable security framework. This modeling of digital signatures potentially has some significant analytical advantages (such as enabling component-wise analysis of complex systems that use signature schemes, as well as symbolic and automatable analysis of such systems). However, it turns out that formulating ideal functionalities that capture the properties expected from signature schemes in a way that is both sound and enjoys the above advantages is not a trivial task. This work has several contributions. We first correct some flaws in the definition of the ideal signature functionality of Canetti, 2001, and subsequent formulations. Next we provide a minimal formalization of “ideal certification authorities ” and show how authenticated communication can be obtained using ideal signatures and an ideal certification authority. This is done while guaranteeing full modularity (i.e., each component is analyzed as stand-alone), and in an unconditional and errorless way. This opens the door to symbolic and automated analysis of protocols for these tasks, in a way that is both modular and cryptographically sound.
Recently some efforts were made towards capturing the security requirements from digital signature schemes as an ideal functionality within a composable security framework. This modeling of digital signatures potentially has some significant analytical advantages (such as enabling component-wise analysis of complex systems that use signature schemes, as well as symbolic and automatable analysis of such systems). However, it turns out that formulating ideal functionalities that capture the properties expected from signature schemes in a way that is both sound and enjoys the above advantages is not a trivial task. This work has several contributions. We first correct some flaws in the definition of the ideal signature functionality of Canetti, 2001, and subsequent formulations. Next we provide a minimal formalization of "ideal certification authorities" and show how authenticated communication can be obtained using ideal signatures and an ideal certification authority. This is done while guaranteeing full modularity (i.e., each component is analyzed as stand-alone), and in an unconditional and errorless way. This opens the door to symbolic and automated analysis of protocols for these tasks, in a way that is both modular and cryptographically sound.
The Universal Composability (UC) framework provides provable security guaranties for harsh application environment, where we want to construct protocols which keep security guarantees even when they are concurrently composed with arbitrary number of arbitrary (even hostile) protocols.This is a very strong guarantee.The UC-framework inherently supports the modular design, which allows secure composition of arbitrary number of UC-secure components with an arbitrary protocol.In contrast, traditional analysis and design is a stand alone analysis where security of a single instance is considered, i.e. an instance which is not in potential interaction with any concurrent instances.Furthermore, a typical traditional analysis is informal, i.e. without a formal proof.In spite of these facts, beyond the task of key-exchange this technology have not really took the attention of the community of applied cryptography.From practitioner's point of view the UC-world may seem more or less an academic interest of theoretical cryptographers.Accordingly we take a pragmatic approach, where we concentrate on meaningful compromises between the assumed adversarial strength, ideality wishes and realization complexity while keeping provable security guarantees within the UC-framework.We believe that even modest but provable goals (especially, if tunable to application scenarios) are interesting if a wider penetration of the UC-technology is desired into the daily-practice of protocol applications.
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.