Are two binary operators necessary to finitely axiomatise parallel composition?

L. Aceto, V. Castiglioni, W. Fokkink, A. Ingólfsdóttir, B. Luttik

Research output: Chapter in Book / Report / Conference proceedingConference contributionAcademicpeer-review

Abstract

Bergstra and Klop have shown that bisimilarity has a finite equational axiomatisation over ACP/CCS extended with the binary left and communication merge operators. Moller proved that auxiliary operators are necessary to obtain a finite axiomatisation of bisimilarity over CCS, and Aceto et al. showed that this remains true when Hennessy’s merge is added to that language. These results raise the question of whether there is one auxiliary binary operator whose addition to CCS leads to a finite axiomatisation of bisimilarity. This study provides a negative answer to that question based on three reasonable assumptions.
Original languageEnglish
Title of host publication29th EACSL Annual Conference on Computer Science Logic (CSL 2021)
EditorsChristel Baier, Jean Goubault-Larrecq
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
Pages1-17
Number of pages17
ISBN (Print)9783959771757
DOIs
Publication statusPublished - 2021
Event29th EACSL Annual Conference on Computer Science Logic, CSL 2021 - Virtual, Ljubljana, Slovenia
Duration: 25 Jan 202128 Jan 2021

Publication series

NameLeibniz International Proceedings in Informatics (LIPIcs)
Volume183
ISSN (Print)1868-8969

Conference

Conference29th EACSL Annual Conference on Computer Science Logic, CSL 2021
Country/TerritorySlovenia
CityVirtual, Ljubljana
Period25/01/2128/01/21

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