On Syntactic and Semantic Action Refinement

Ursula Goltz, Roberto Gorrieri, Arend Rensink

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    The semantic definition of action refinement on labelled event structures is compared with the notion of syntactic substitution,which can be used as another notion of action refiment in a process algebraic setting. This is done by studying a process algebra equipped with the ACP sequential composition, parallel composition with an explicit synchronization set, and an operator for action refinement. On the one hand, the language (including the renement operator) is given a flow event structure semantics. On the other hand, a reduction procedure transforms a process term P into a flat term (i.e., with the refinement operator not occurring in it) red(P) by means of syntactic substitution, defined in a structural inductive way. The main aim of the paper is to find general conditions under which the terms P and red(P) have the same semantics. The results we present are essentially dependent on the question whether the refined action can be synchronized or not. In the latter case, P and red(P) give rise to isomorphic flow event structures under mild assumptions. The former case is considerably more difficult. We give necessary and sufficient semantic conditions under which refinement can be distributed over synchronization up to isomorphic domains of configurations. Subsequently we also give sufficient (but not necessary) syntactic conditions for reducible terms.
    Original languageUndefined
    Place of PublicationHildesheim, Germany
    PublisherUniversity of Hildesheim
    Number of pages39
    Publication statusPublished - 1992

    Publication series

    NameHildesheimer Informatik-Bericht
    PublisherInstitut für Informatik, University of Hildesheim
    ISSN (Print)0941-3014


    • IR-66517
    • EWI-7567

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