Volume 6: January - December 1996

Issue 1: 1996

Abstract


Modal logic and equality for process algebra

  • Modal logic and equality for process algebra
  • WPR. Mitchell Department of Computer Science, University of Manchester, Manchester M13 9PL, UK

    ABSTRACT

    This paper provides a denotational semantics for the 'saturation method', described by J.A. Bergstra and J.W. Klop, in the form of a modal logic. In particular the semantics describes congruence for CCS processes in the form of a modal logic whose axioms are a modal representation of the [tau]-laws. The main idea of the paper is to represent bisimulation equivalences of CCS in terms of a simple modal logic K[oplus]. This logic is a variant of the classical modal logic K introducing a plus operator to mirror the choice operator of CCS. Weak bisimulation equivalence and process equality can be characterized in terms of extra axioms added to K[oplus]. In the case of equality the axioms are a modal representation of the [tau]-laws. A CCS process maps to a model of the logic; two processes are equivalent if they map to the same model.

    Pages: 123 - 138

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    Copyright Oxford University Press, 1996