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Information and Computation 207, 4 (2009) 496-520
Computationally Sound Implementations of Equational Theories against Passive Adversaries
Mathieu Baudet, Véronique Cortier 1, Steve Kremer 2
(2009)

In this paper we study the link between formal and cryptographic models for security protocols in the presence of passive adversaries. In contrast to other works, we do not consider a fixed set of primitives but aim at results for arbitrary equational theories. We define a framework forcomparing a cryptographicimplementation and its idealization with respect to various security notions. In particular, we concentrate on the computational soundness of static equivalence, a standard tool in cryptographic pi calculi. We present a soundness criterion, which for many theories is not only sufficient but also necessary. Finally, to illustrate our framework, we establish the soundness of static equivalence for the exclusive OR and a theory of ciphers and lists.
1:  CASSIS (INRIA Lorraine - LORIA / LIFC)
INRIA – CNRS : FRE2661 – Université de Franche-Comté – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
2:  Laboratoire Spécification et Vérification [Cachan] (LSV)
CNRS : UMR8643 – INRIA – École normale supérieure de Cachan - ENS Cachan
Computer Science/Cryptography and Security