Modelling simultaneous games in dynamic logic

Synthese 165 (2):247-268 (2008)
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 Simultaneous games  Parallelism  Game logic  Evaluation games  IF logic  Branching quantifiers
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DOI 10.1007/s11229-008-9390-y
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