Stochastic Interpretation of Game Logic

Ernst-Erich Doberkat

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arXiv · 1403.7765

Stochastic Interpretation of Game Logic

Ernst-Erich Doberkat

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Abstract

Game logic is a dynamic modal logic which models strategic two person games; it contains propositional dynamic logic (PDL) as a fragment. We propose an interpretation of game logic based on stochastic effectivity functions. A definition of these functions is proposed, and some algebraic properties of effectivity functions such as congruences are investigated. The relationship to stochastic relations is characterized through a deduction system. Logical and behavioral equivalence of game models is investigated. Finally the completion of models receives some attention.

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Ernst-Erich Doberkat. 2014-03-30. Stochastic Interpretation of Game Logic. https://arxiv.org/abs/1403.7765

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