Symbolic model checking of probabilistic knowledge

  • Authors:
  • Xiaowei Huang;Cheng Luo;Ron van der Meyden

  • Affiliations:
  • University of New South Wales, Australia;University of New South Wales, Australia;University of New South Wales, Australia

  • Venue:
  • Proceedings of the 13th Conference on Theoretical Aspects of Rationality and Knowledge
  • Year:
  • 2011

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Abstract

This paper describes an algorithm for model checking a fragment of the logic of knowledge and probability in multi-agent systems, with respect to a perfect recall interpretation of knowledge and agents' subjective probability. The algorithm has been implemented in the epistemic model checker MCK. Some experiments with the implemented algorithm are reported, in which some properties of agents' probabilistic knowledge are verified in two security protocols: Chaum's Dining Cryptographers protocol, and a protocol for Oblivious Transfer due to Rivest.