Deciding properties of regular real timed processes

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Abstract

We discuss the decidability problem associated with verifying properties of processes expressed in the real time process calculus TCCS of [W90]. A regular subcalculus TC of TCCS is considered. Two operational semantics, and associated timed notions of bisimulation, are given: a standard infinite semantics, and a symbolic finite semantics. The consistency between the two semantics is proved. We show that both the equivalences are decidable for regular processes relative to comparisons between real numbers. As an alternative specification formalism, we present a timed modal logic. It turns out that this logic characterises timed bisimulation equivalence in the sense that equivalent processes enjoy exactly the same properties expressed within the logic. Moreover, we prove that the problem of deciding whether a given regular real timed process satisfies a given property of the logic is decidable, relative to first order assertions about real numbers. Two interpretations of the modal logic are offered, based on the standard and symbolic operational semantics of TC respectively and the consistency between these interpretations is proved.

Original languageEnglish
Title of host publicationComputer Aided Verification - 3rd Intenational Workshop, CAV 1991, Proceedings
EditorsKim G. Larsen, Arne Skou
PublisherSpringer Verlag
Pages443-453
Number of pages11
ISBN (Print)9783540551799
DOIs
StatePublished - 1992
Externally publishedYes
Event3rd International Workshop on Computer Aided Verification, CAV 1991 - Aalborg, Denmark
Duration: 1 Jul 19914 Jul 1991

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume575 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference3rd International Workshop on Computer Aided Verification, CAV 1991
Country/TerritoryDenmark
CityAalborg
Period1/07/914/07/91

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