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Exponential-Size Model Property for PDL with Separating Parallel Composition

Joseph Boudou 1 
1 IRIT-LILaC - Logique, Interaction, Langue et Calcul
IRIT - Institut de recherche en informatique de Toulouse
Abstract : Propositional dynamic logic is extended with a parallel program having a separating semantic: the program (α || β) executes α and β on two substates of the current state. We prove that when the composition of two substates is deterministic, the logic has the exponential-size model property. The proof is by a piecewise filtration using an adaptation of the Fischer-Ladner closure. We conclude that the satisfiability of the logic is decidable in NEXPTIME.
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Submitted on : Thursday, April 30, 2020 - 5:35:07 PM
Last modification on : Wednesday, June 1, 2022 - 4:09:59 AM


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  • HAL Id : hal-02559772, version 1
  • OATAO : 22292


Joseph Boudou. Exponential-Size Model Property for PDL with Separating Parallel Composition. Mathematical Foundations of Computer Science (MFCS 2015), Aug 2015, Milan, Italy. pp.129-140. ⟨hal-02559772⟩



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