Infinite State AMC-Model Checking for Cryptographic Protocols

  • Authors:
  • Detlef Kahler;Ralf Kusters;Tomasz Truderung

  • Affiliations:
  • University of Kiel, Germany;ETH Zurich, Switzerland;Wroclaw University, Poland

  • Venue:
  • LICS '07 Proceedings of the 22nd Annual IEEE Symposium on Logic in Computer Science
  • Year:
  • 2007

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Abstract

Only very little is known about the automatic analysis of cryptographic protocols for game-theoretic security properties. In this paper, we therefore study decidability and complexity of the model checking problem for AMC-formulas over infinite state concurrent game structures induced by cryptographic protocols and the Dolev-Yao intruder. We show that the problem is NEXPTIME-complete when making reasonable assumptions about protocols and for an expressive fragment of AMC, which contains, for example, all properties formulated by Kremer and Raskin in fair ATL for contract-signing and non-repudiation protocols. We also prove that our assumptions on protocols are necessary to obtain decidability, unless other restrictions are imposed on protocols.