[2206.13927] On the Axiomatisation of Branching Bisimulation Congruence over CCS
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Computer Science > Logic in Computer Science

arXiv:2206.13927 (cs)
[Submitted on 28 Jun 2022]

Title:On the Axiomatisation of Branching Bisimulation Congruence over CCS

Authors:Luca Aceto, Valentina Castiglioni, Anna Ingolfsdottir, Bas Luttik
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Abstract: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 contribution, we show that, when the set of actions is finite, rooted branching bisimilarity has a finite equational basis over CCS enriched with the left merge and communication merge operators from ACP.
Subjects: Logic in Computer Science (cs.LO)
ACM classes: F.3.2
Cite as: arXiv:2206.13927 [cs.LO]
  (or arXiv:2206.13927v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.2206.13927

Submission history

From: Valentina Castiglioni [view email]
[v1] Tue, 28 Jun 2022 12:01:26 UTC (125 KB)
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