Finitely-valued propositional dynamic logic (2012.12133v1)

Published 22 Dec 2020 in cs.LO

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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Authors (1)

Igor Sedlár

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