Tableau-based decision procedure for full coalitional multiagent temporal-epistemic logic of linear time

  • Authors:
  • Valentin Goranko;Dmitry Shkatov

  • Affiliations:
  • University of the Witwatersrand, Johannesburg, South Africa;University of the Witwatersrand, Johannesburg, South Africa

  • Venue:
  • Proceedings of The 8th International Conference on Autonomous Agents and Multiagent Systems - Volume 2
  • Year:
  • 2009

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Abstract

We develop a tableau-based decision procedure for the full coalitional multiagent temporal-epistemic logic of linear time CMATEL(CD+LT). It extends LTL with operators of common and distributed knowledge for all coalitions of agents. The tableau procedure runs in exponential time, matching the lower bound obtained by Halpern and Vardi for a fragment of our logic, thus providing a complexity-optimal decision procedure for CMATEL(CD+LT).