A Labelled Sequent Calculus for Public Announcement Logic
Hao Wu, Hans van Ditmarsch, Jinsheng Chen · arXiv (Cornell University) · 2022
Public announcement logic(PAL) is an extension of epistemic logic (EL) with some reduction axioms. In this paper, we propose a cut-free labelled sequent calculus for PAL, which is an extension of that for EL with sequent rules adapted from the reduction axioms. This calculus admits cut and allows terminating proof search.