Abstract
AbstractThe logic of public announcements has received great interest in recent years. In this paper we give an account of public announcements in terms of the semantics of subset space logic (SSL). In particular, we give a natural interpretation of the language of public announcement logic (PAL) in subset models, and show that it embeds PAL. We give sound and complete axiomatisations of different variants of the logic. Unlike in other work combining PAL and SSL, the goal is not to import PAL operators with update semantics into SSL, but to give an alternative semantics for PAL: using neighborhoods instead of model updates.Keywordssubset space logicepistemic logicpublic announcement logicexpressivityarbitrary announcementstopology
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