KE Tableaux for Public Announcement Logic
Mathijs S. de Boer · Open Repository and Bibliography (University of Luxembourg) · 2007
Public announcement logic (PAL) is a simple dynamic epistemic logic extending reasoning about knowledge of agents with a modal operator for simultaneous and transparent knowledge updates. This logic is no more expressive than epistemic logic (EL) without updates, but exhibits compact representation of a number of complex epistemic situations. A labeled tableau proof system to reason with these updates directly is presented here. This system can analyse and present well-known epistemic puzzles like ‘muddy children ’ and ‘three wise men’. Using the KE tableau system as a basis, the modal and propositional characteristics of epistemic updates can be separated. Key words: Public announcement logic; epistemic logic; KE; semantic tableaux.