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Communication Dans Un Congrès Année : 2021

Mechanized Proofs of Adversarial Complexity and Application to Universal Composability

Résumé

In this paper we enhance the EasyCrypt proof assistant to reason about computational complexity of adversaries. The key technical tool is a Hoare logic for reasoning about computational complexity (execution time and oracle calls) of adversarial computations. Our Hoare logic is built on top of the module system used by EasyCrypt for modeling adversaries. We prove that our logic is sound w.r.t. the semantics of EasyCrypt programs-we also provide full semantics for the EasyCrypt module system, which was previously lacking. We showcase (for the first time in EasyCrypt and in other computer-aided cryptographic tools) how our approach can express precise relationships between the probability of adversarial success and their execution time. In particular, we can quantify existentially over adversaries in a complexity class, and express general composition statements in simulation-based frameworks. Moreover, such statements can be composed to derive standard concrete security bounds for cryptographic constructions whose security is proved in a modular way. As a main benefit of our approach, we revisit security proofs of some well-known cryptographic constructions and we present a new formalization of Universal Composability (UC).
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Dates et versions

hal-03469015 , version 1 (07-12-2021)

Identifiants

Citer

Manuel Barbosa, Gilles Barthe, Benjamin Grégoire, Adrien Koutsos, Pierre-Yves Strub. Mechanized Proofs of Adversarial Complexity and Application to Universal Composability. CCS 2021 - ACM SIGSAC Conference on Computer and Communications Security, Nov 2021, Virtual Event, South Korea. pp.2541-2563, ⟨10.1145/3460120.3484548⟩. ⟨hal-03469015⟩
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