The How and Why of Interactive Markov Chains

H. Hermanns, Joost P. Katoen

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    28 Citations (Scopus)
    173 Downloads (Pure)

    Abstract

    This paper reviews the model of interactive Markov chains (IMCs, for short), an extension of labelled transition systems with exponentially delayed transitions. We show that IMCs are closed under parallel composition and hiding, and show how IMCs can be compositionally aggregated prior to analysis by e.g., bisimulation minimisation or aggressive abstraction based on simulation pre-congruences. We survey some recent analysis techniques for IMCs, i.e., explaining how measures such as reachability probabilities can be obtained. Finally, we demonstrate that IMCs are a natural (and simple) semantic model for stochastic process algebras and generalised stochastic Petri nets and can be used for engineering formalisms such as AADL and dynamic fault trees.
    Original languageUndefined
    Title of host publicationSymposium on Formal Methods for Components and Objects, FMCO 2009
    EditorsF.S de Boer, S.H. Bonsangue, M Leuschel
    Place of PublicationBerlin
    PublisherSpringer
    Pages311-337
    Number of pages27
    ISBN (Print)978-3-642-17070-6
    DOIs
    Publication statusPublished - 2010

    Publication series

    NameLecture Notes in Computer Science
    PublisherSpringer Verlag
    Volume6286
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Keywords

    • IR-73120
    • EWI-18444
    • METIS-271027

    Cite this

    Hermanns, H., & Katoen, J. P. (2010). The How and Why of Interactive Markov Chains. In F. S. de Boer, S. H. Bonsangue, & M. Leuschel (Eds.), Symposium on Formal Methods for Components and Objects, FMCO 2009 (pp. 311-337). (Lecture Notes in Computer Science; Vol. 6286). Berlin: Springer. https://doi.org/10.1007/978-3-642-17071-3_16