Decision problems for Spatial Logics revisited

Mardare, Radu and Policriti, Alberto (2008) Decision problems for Spatial Logics revisited. UNSPECIFIED. (Unpublished)

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    Abstract

    Spatial Logics are modal logics developed for process-algebraic semantics. They have been proposed for specifying concurrent properties of dynamic systems and have been proved useful in a wide range of applications. Their expresivity often comes with the price of undecidability, however, even against finite fragments of process calculi. This paper investigates the decidability of satisfiability, validity, and model checking for various Spatial Logics against semantics based on a fragment of CCS that embodies the core features of concurrent behaviors. We prove some decidability and undecidability prop- erties for (combinations of) basic modal operators of spatial logics that entail some of the already known results in the field and provide a taxonomy for this class of problems.

    Item Type: Departmental Technical Report
    Department or Research center: CoSBi (Center for Computational and Systems Biology)
    Subjects: Q Science > QA Mathematics > QA076 Computer software > QA076.7 Programming Languages - Semantics
    Report Number: TR-22-2008
    Repository staff approval on: 01 Dec 2009

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