A First Study of Compositionality in Graph Transformation

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    Abstract

    Graph transformation works under a whole-world assumption. In modelling realistic systems, this typically makes for large graphs and sometimes also large, hard to understand rules. From process algebra, on the other hand, we know the principle of reactivity, meaning that the system being modelled is embedded in an environment with which it continually interacts. This has the advantage of allowing modular system specifications and correspondingly smaller descriptions of individual components. Reactivity can alternatively be understood as enabling compositionality: the specification of components and subsystems are composed to obtain the complete model. In this work we show a way to ingest graph transformation with compositionality, reaping the same benefits from modularity as enjoyed by process algebra. In particular, using the existing concept of graph interface, we show under what circumstances rules can be decomposed into smaller subrules, each working on a subgraph of the complete, whole-world graph, in such a way that the effect of the original rule is precisely captured by the synchronisation of subrules.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherCentre for Telematics and Information Technology (CTIT)
    Publication statusPublished - Feb 2010

    Publication series

    NameCTIT Technical Report Series
    PublisherCentre for Telematics and Information Technology, University of Twente
    No.TR-CTIT-10-08
    ISSN (Print)1381-3625

    Keywords

    • IR-69977
    • EWI-17499
    • METIS-270736

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