Modelling Simultaneous Games in Dynamic Logic

Synthese 165 (2):247 - 268 (2008)
Abstract
We make a proposal for formalizing simultaneous games at the abstraction level of player's powers, combining ideas from dynamic logic of sequential games and concurrent dynamic logic. We prove completeness for a new system of 'concurrent game logic' CDGL with respect to finite non-determined games. We also show how this system raises new mathematical issues, and throws light on branching quantifiers and independence-friendly evaluation games for first-order logic.
Keywords Philosophy   Philosophy of Language   Metaphysics   Epistemology   Logic
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DOI 10.2307/40271102
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