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5th ACM Symposium on Information, Computer and Communications Security - ASIACCS 2010, Beijing : Chine (2010)
Cap Unification: Application to Protocol Security modulo Homomorphic Encryption
Siva Anantharaman 1, Hai Lin, Christopher Lynch, Paliath Narendran, Michael Rusinowitch 2
(2010-04)

We address the insecurity problem for cryptographic protocols, for an active intruder and a bounded number of sessions. The protocol steps are modeled as rigid Horn clauses, and the intruder abilities as an equational theory. The problem of active intrusion -- such as whether a secret term can be derived, possibly via interaction with the honest participants of the protocol -- is then formulated as a Cap Unification problem. Cap Unification is an extension of Equational Unification: look for a cap to be placed on a given set of terms, so as to unify it with a given term modulo the equational theory. We give a decision procedure for Cap Unification, when the intruder capabilities are modeled as homomorphic encryption theory. Our procedure can be employed in a simple manner to detect attacks exploiting some properties of block ciphers.
1:  Laboratoire d'Informatique Fondamentale d'Orléans (LIFO)
Université d'Orléans : EA4022 – Ecole Nationale Supérieure d'Ingénieurs de Bourges
2:  CASSIS (INRIA Lorraine - LORIA / LIFC)
INRIA – CNRS : UMR7503 – CNRS : FRE2661 – Université de Franche-Comté – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine
Computer Science/Computation and Language
Rewriting – Unification – Protocol – Secrecy Analysis

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