Distributed knowledge with justifications

  • Authors:
  • Meghdad Ghari

  • Affiliations:
  • Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran

  • Venue:
  • ESSLLI'10 Proceedings of the 2010 international conference on New Directions in Logic, Language and Computation
  • Year:
  • 2010

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Abstract

In this paper, we introduce justification counterparts of distributed knowledge logics. Our justification logics include explicit knowledge operators of the form [[t]]_iF and $[[t]]_{\mathcal D} F$, which are interpreted respectively as "t is a justification that agent i accepts for F", and "t is a justification that all agents implicitly accept for F". We present Kripke style models and prove the completeness theorem. Finally, we give a semantical proof of the realization theorem.