Protocol Security and Algebraic Properties: Decision Results for a Bounded Number of Sessions

  • Authors:
  • Sergiu Bursuc;Hubert Comon-Lundh

  • Affiliations:
  • LSV, ENS Cachan & CNRS & INRIA,;LSV, ENS Cachan & CNRS & INRIA, and RCIS, AIST Tokyo,

  • Venue:
  • RTA '09 Proceedings of the 20th International Conference on Rewriting Techniques and Applications
  • Year:
  • 2009

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Abstract

We consider the problem of deciding the security of cryptographic protocols for a bounded number of sessions, taking into account some algebraic properties of the security primitives, for instance Abelian group properties. We propose a general method for deriving decision algorithms, splitting the task into 4 properties of the rewriting system describing the intruder capabilities: locality, conservativity, finite variant property and decidability of one-step deducibility constraints. We illustrate this method on a non trivial example, combining several Abelian Group properties, exponentiation and a homomorphism, showing a decidability result for this combination.