An elimination theorem for regular behaviours with integration

Abstract

In this paper we consider we consider a variant of the process algebra ACP with rational time and integration. We shall indicate a subdomain of regular processes for which an Elimination Theorem holds: for each pair of processes p, q in this class there is a process z in this class such that p∥q and z have the same behaviour. Furthermore, we indicate by some simple examples that if the subdomain is restricted or enlarged, then the elimination result is lost. The subdomain has a strong link with the model of timed automata of Alur and Dill.