A Labelled Sequent Calculus for Public Announcement Logic

Studies in Logic, Vol. 16, No. 3 (2023): 89–107      PII: 1674­3202(2023)­03­0089­19

Hao Wu         Hans van Ditmarsch          Jinsheng Chen

Abstract. Public announcement logic (PAL) is an extension of epistemic logic (EL) with some reduction axioms. In this paper, we propose a cut­free 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.