Modal Logics for Mobile Processes

Robin Milner, Joachim Parrow and David Walker

Abstract: In process algebras, bisimulation equivalence is typically defined directly in terms of the operational rules of action; it also has an alternative characterisation in terms of a simple modal logic (sometimes called Hennessy-Milner logic. This paper first defines two forms of bisimulation equivalence for the pi-calculus, a process algebra which allows dynamic reconfiguration among processes; it then explores a family of logics with different modal operators. It is proven that two of these logics characterise the two bisimulation equivalences. Also, the relative expressive power of all the logics is exhibited as a lattice.

This report appeared in Theoretical Computer Science 114 (1993) pp.149--171.

LFCS report ECS-LFCS-91-136

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