Towards Syntactic Epistemic Logic

Traditionally, Epistemic Logic represents epistemic scenarios using a single model. This, however, covers only complete descriptions that specify truth values of all assertions. Indeed, many—and perhaps most—epistemic are not complete. Syntactic Logic, SEL, suggests viewing an situation as set syntactic conditions rather than This allows us to naturally capture incomplete descriptions; we discuss case study in which our proposal is successful. In Game Theory, this closes the conceptual and technical gap, identified by R. Aumann, between character game-descriptions semantic representations games.