Deciding security properties for cryptographic protocols. Application to key cycles

dc.creatorComon-Lundh, Hubert
dc.creatorCortier, Véronique
dc.creatorZalinescu, Eugen
dc.date2007-08-27
dc.date2009-03-20
dc.date.accessioned2026-07-07T12:53:57Z
dc.date.available2026-07-07T12:53:57Z
dc.descriptionThere 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 constraints 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 system 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.
dc.descriptionrevised version (corrected small mistakes, improved presentation); to be published in ACM Transactions on Computational Logic; 39 pages
dc.identifierhttps://arxiv.org/abs/0708.3564
dc.identifierhttp://arxiv.org/abs/0708.3564
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223764
dc.subjectLogic in Computer Science
dc.subjectCryptography and Security
dc.subjectF.3.1
dc.titleDeciding security properties for cryptographic protocols. Application to key cycles
dc.typetext

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