On the Axiomatisation of Branching Bisimulation Congruence over CCS
Luca Aceto; Valentina Castiglioni; Anna Ingolfsdottir; Bas Luttik · 2022 · arXiv
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Abstract (excerpt)
In this paper we investigate the equational theory of (the restriction, relabelling, and recursion free fragment of) CCS modulo rooted branching bisimilarity, which is a classic, bisimulation-based notion of equivalence that abstracts from internal computational steps in process behaviour. Firstly, we show that CCS is not finitely based modulo the considered congruence. As a key step of independent interest in the proof of that negative result, we prove that each CCS process has a unique parallel decomposition into indecomposable processes modulo branching bisimilarity. As a second main contri
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Metadata source: arXiv