Model Checking Knowledge and Time in Systems with Perfect Recall (Extended Abstract)

  • Authors:
  • Ron van der Meyden;Nikolay V. Shilov

  • Affiliations:
  • -;-

  • Venue:
  • Proceedings of the 19th Conference on Foundations of Software Technology and Theoretical Computer Science
  • Year:
  • 1999

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Abstract

This paper studies model checking for the modal logic of knowledge and linear time in distributed systems with perfect recall. It is shown that this problem (1) is undecidable for a language with operators for until and common knowledge, (2) is PSPACE-complete for a language with common knowledge but without until, (3) has nonelementary upper and lower bounds for a language with until but without common knowledge.M odel checking bounded knowledge depth formulae of the last of these languages is considered in greater detail, and an automata-theoretic decision procedure is developed for this problem, that yields a more precise complexity characterization.