Dynamic epistemic logic with branching temporal structures

Synthese 169 (2):259 - 281 (2009)
van Bentham et al. (Merging frameworks for interaction: DEL and ETL, 2007) provides a framework for generating the models of Epistemic Temporal Logic ( ETL : Fagin et al., Reasoning about knowledge, 1995; Parikh and Ramanujam, Journal of Logic, Language, and Information, 2003) from the models of Dynamic Epistemic Logic ( DEL : Baltag et al., in: Gilboa (ed.) Tark 1998, 1998; Gerbrandy, Bisimulations on Planet Kripke, 1999). We consider the logic TDEL on the merged semantic framework, and its extension with the labeled past-operator “ P ϵ ” (“The event ϵ has happened before which. . .”). To axiomatize the extension, we introduce a method for transforming a given model into a normal form in a suitable sense. These logics suggest further applications of DEL in the theory of agency, the theory of learning, etc.
Keywords Modal logic  Epistemic logic  DEL  ETL  Dynamic epistemic logic  Epistemic temporal logic
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DOI 10.2307/40271278
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Joshua Sack (2010). Logic for Update Products and Steps Into the Past. Annals of Pure and Applied Logic 161 (12):1431-1461.
Tomohiro Hoshi (2010). Merging DEL and ETL. Journal of Logic, Language and Information 19 (4):413-430.

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