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A Calculus Based on Absence of Actions

Padmanabhan Krishnan

Abstract

In this article we present a process algebra where the behaviour can be specified when certain actions cannot be exhibited. This is useful in specifying time outs, interrupts etc. We present a few properties which form the basis for a sound and complete axiomatisation of a bisimulation equivalence relation. A comparison with other approaches is presented.

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Key concepts: Bisimulation, Process calculus, Equivalence (formal languages), Calculus (dental), Relation (database), Algebra over a field, Basis (linear algebra), Equivalence relation