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Deciding security properties for cryptographic protocols. Application to key cycles.

Identifieur interne : 002F03 ( Main/Exploration ); précédent : 002F02; suivant : 002F04

Deciding security properties for cryptographic protocols. Application to key cycles.

Auteurs : Hubert Comon-Lundh [France] ; Véronique Cortier [France] ; Eugen Zalinescu [France]

Source :

RBID : Hal:inria-00525775

Abstract

There is a large amount of work dedicated to the formal verification of security protocols. In this paper, we revisit and extend the NP-complete decision procedure for a bounded number of sessions. We use a, now standard, deducibility constraint formalism for modeling security protocols. Our first contribution is to give a simple set of constraint simplification rules, that allows to reduce any deducibility constraint to a set of solved forms, representing all solutions (within the bound on sessions). As a consequence, we prove that deciding the existence of key cycles is NP-complete for a bounded number of sessions. The problem of key-cycles has been put forward by recent works relating computational and symbolic models. The so-called soundness of the symbolic model requires indeed that no key cycle (e.g., enc(k; k)) ever occurs in the execution of the protocol. Otherwise, stronger security assumptions (such as KDM-security) are required. We show that our decision procedure can also be applied to prove again the decidability of authentication-like properties and the decidability of a significant fragment of protocols with timestamps.

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DOI: 10.1145/1656242.1656244


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<name sortKey="Zalinescu, Eugen" sort="Zalinescu, Eugen" uniqKey="Zalinescu E" first="Eugen" last="Zalinescu">Eugen Zalinescu</name>
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<idno type="DOI">10.1145/1656242.1656244</idno>
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<title level="j">ACM Transactions on Computational Logic</title>
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<div type="abstract" xml:lang="en">There is a large amount of work dedicated to the formal verification of security protocols. In this paper, we revisit and extend the NP-complete decision procedure for a bounded number of sessions. We use a, now standard, deducibility constraint formalism for modeling security protocols. Our first contribution is to give a simple set of constraint simplification rules, that allows to reduce any deducibility constraint to a set of solved forms, representing all solutions (within the bound on sessions). As a consequence, we prove that deciding the existence of key cycles is NP-complete for a bounded number of sessions. The problem of key-cycles has been put forward by recent works relating computational and symbolic models. The so-called soundness of the symbolic model requires indeed that no key cycle (e.g., enc(k; k)) ever occurs in the execution of the protocol. Otherwise, stronger security assumptions (such as KDM-security) are required. We show that our decision procedure can also be applied to prove again the decidability of authentication-like properties and the decidability of a significant fragment of protocols with timestamps.</div>
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