Finitely-valued propositional dynamic logic

Igor Sedlár

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arXiv · 2012.12133

Finitely-valued propositional dynamic logic

Igor Sedlár

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Abstract

We study a many-valued generalization of Propositional Dynamic Logic where formulas in states and accessibility relations between states of a Kripke model are evaluated in a finite FL-algebra. One natural interpretation of this framework is related to reasoning about costs of performing structured actions. We prove that PDL over any finite FL-algebra is decidable. We also establish a general completeness result for a class of PDLs based on commutative integral FL-algebras with canonical constants.

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Igor Sedlár. 2020-12-22. Finitely-valued propositional dynamic logic. https://arxiv.org/abs/2012.12133

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