A Tableau Method for Public Announcement Logics

  • Authors:
  • Philippe Balbiani;Hans Ditmarsch;Andreas Herzig;Tiago Lima

  • Affiliations:
  • Institut de Recherche en Informatique de Toulouse, France;Computer Science, University of Otago, New Zealand;Institut de Recherche en Informatique de Toulouse, France;Institut de Recherche en Informatique de Toulouse, France

  • Venue:
  • TABLEAUX '07 Proceedings of the 16th international conference on Automated Reasoning with Analytic Tableaux and Related Methods
  • Year:
  • 2007

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Abstract

Public announcement logic is an extension of multi-agent epistemic logic with dynamic operators to model the informational consequences of announcements to the entire group of agents. We propose a labelled tableau-calculus for this logic. We also present an extension of the calculus for a logic of arbitrary announcements.