Tableaux for Public Announcement Logic
Philippe Balbiani, Hans van Ditmarsch, Andreas Herzig, Tiago de Lima · Journal of Logic and Computation · 2008
Public announcement logic extends multi-agent epistemic logic with dynamic operators to model the informational consequences of announcements to the entire group of agents. In this article, we propose a labelled tableau calculus for this logic, and show that it decides satisfiability of formulas in deterministic polynomial space. Since this problem is known to be PSPACE-complete, it follows that our proof method is optimal.