License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CONCUR.2022.6
URN: urn:nbn:de:0030-drops-170692
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/17069/
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Aceto, Luca ; Castiglioni, Valentina ; Ingólfsdóttir, Anna ; Luttik, Bas

On the Axiomatisation of Branching Bisimulation Congruence over CCS

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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.

BibTeX - Entry

@InProceedings{aceto_et_al:LIPIcs.CONCUR.2022.6,
  author =	{Aceto, Luca and Castiglioni, Valentina and Ing\'{o}lfsd\'{o}ttir, Anna and Luttik, Bas},
  title =	{{On the Axiomatisation of Branching Bisimulation Congruence over CCS}},
  booktitle =	{33rd International Conference on Concurrency Theory (CONCUR 2022)},
  pages =	{6:1--6:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-246-4},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{243},
  editor =	{Klin, Bartek and Lasota, S{\l}awomir and Muscholl, Anca},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/17069},
  URN =		{urn:nbn:de:0030-drops-170692},
  doi =		{10.4230/LIPIcs.CONCUR.2022.6},
  annote =	{Keywords: Equational basis, Weak semantics, CCS, Parallel composition}
}

Keywords: Equational basis, Weak semantics, CCS, Parallel composition
Collection: 33rd International Conference on Concurrency Theory (CONCUR 2022)
Issue Date: 2022
Date of publication: 06.09.2022

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