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Proof Techniques for Cryptographic Processes

Boreale, Michele and De Nicola, Rocco and Pugliese, Rosario Proof Techniques for Cryptographic Processes. SIAM Journal on Computing., 31 (3). pp. 947-986. ISSN 0097-5397 (2001)

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Abstract

Contextual equivalences for cryptographic process calculi, like the spi-calculus, can be used to reason about correctness of protocols, but their definition suffers from quantification over all possible contexts. Here, we focus on two such equivalences, namely may-testing and barbed equivalence, and investigate tractable proof methods for them. To this aim, we design an enriched labelled transition system, where transitions are constrained by the knowledge the environment has of names and keys. The new transition system is then used to define a trace equivalence and a weak bisimulation equivalence that avoid quantification over contexts. Our main results are soundness and completeness of trace and weak bisimulation equivalence with respect to may-testing and barbed equivalence, respectively. They lead to more direct proof methods for equivalence checking. The use of these methods is illustrated with a few examples concerning implementation of secure channels and verification of protocol correctness.

Item Type: Article
Identification Number: 10.1137/S0097539700377864
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Rocco De Nicola
Date Deposited: 06 Jun 2011 08:45
Last Modified: 11 Jul 2011 14:36
URI: http://eprints.imtlucca.it/id/eprint/329

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