Epistemic coalition logic: completeness and complexity

  • Authors:
  • Thomas Ågotnes;Natasha Alechina

  • Affiliations:
  • University of Bergen, Bergen, Norway;University of Nottingham, Nottingham, UK

  • Venue:
  • Proceedings of the 11th International Conference on Autonomous Agents and Multiagent Systems - Volume 2
  • Year:
  • 2012

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Abstract

Coalition logic is currently one of the most popular logics for multi-agent systems. While logics combining coalitional and epistemic operators have received considerable attention, completeness results for epistemic extensions of coalition logic have so far been missing. In this paper we provide several such results and proofs. We prove completeness for epistemic coalition logic with common knowledge, with distributed knowledge, and with both common and distributed knowledge, respectively. Furthermore, we completely characterise the complexity of the satisfiability problem for each of the three logics.