Bisimulations Meet PCTL Equivalences for Probabilistic Automata

Lei Song, Lijun Zhang, Jens Christian Godskesen

    Research output: Conference Article in Proceeding or Book/Report chapterArticle in proceedingsResearchpeer-review

    Abstract

    Probabilistic automata (PA) have beensuccessfully applied in the formal verification of concurrent andstochastic systems. Efficient model checking algorithms have beenstudied, where the most often used logics for expressing propertiesare based on PCTL and its extensionPCTL*. Variousbehavioral equivalences are proposed for PAs, asa powerful tool for abstraction and compositional minimization forPAs. Unfortunately, the behavioral equivalencesare well-known to be strictly stronger than the logical equivalences inducedby PCTL or PCTL*. This paper introduces novel notions of strongbisimulation relations, which characterizes PCTL and PCTL*exactly. We also extend weak bisimulations characterizingPCTL and PCTL* without next operator, respectively. Thus, ourpaper bridges the gap between logical and behavioral equivalences inthis setting.

    Original languageEnglish
    Title of host publicationCONCUR'11 Proceedings of the 22nd international conference on Concurrency theory
    Number of pages15
    PublisherSpringer
    Publication date5 Sep 2011
    Pages108-123
    ISBN (Print)978-3-642-23216-9
    DOIs
    Publication statusPublished - 5 Sep 2011
    Event22nd International Conference on Concurrency Theory 2011 (CONCUR 2011) - Aachen, Germany
    Duration: 5 Sep 201110 Sep 2011
    Conference number: 22nd
    http://concur2011.rwth-aachen.de/

    Conference

    Conference22nd International Conference on Concurrency Theory 2011 (CONCUR 2011)
    Number22nd
    Country/TerritoryGermany
    CityAachen
    Period05/09/201110/09/2011
    Internet address

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