DROPS

Document

DOI: 10.4230/LIPIcs.CONCUR.2020.18

On the Axiomatisability of Parallel Composition: A Journey in the Spectrum

Authors: Luca Aceto, Valentina Castiglioni, Anna Ingólfsdóttir, Bas Luttik, and Mathias Ruggaard Pedersen

Published in: LIPIcs, Volume 171, 31st International Conference on Concurrency Theory (CONCUR 2020)

Abstract

This paper studies the existence of finite equational axiomatisations of the interleaving parallel composition operator modulo the behavioural equivalences in van Glabbeek’s linear time-branching time spectrum. In the setting of the process algebra BCCSP over a finite set of actions, we provide finite, ground-complete axiomatisations for various simulation and (decorated) trace semantics. On the other hand, we show that no congruence over that language that includes bisimilarity and is included in possible futures equivalence has a finite, ground-complete axiomatisation. This negative result applies to all the nested trace and nested simulation semantics.

Cite as

Luca Aceto, Valentina Castiglioni, Anna Ingólfsdóttir, Bas Luttik, and Mathias Ruggaard Pedersen. On the Axiomatisability of Parallel Composition: A Journey in the Spectrum. In 31st International Conference on Concurrency Theory (CONCUR 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 171, pp. 18:1-18:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)

Copy BibTex To Clipboard

@InProceedings{aceto_et_al:LIPIcs.CONCUR.2020.18,
  author =	{Aceto, Luca and Castiglioni, Valentina and Ing\'{o}lfsd\'{o}ttir, Anna and Luttik, Bas and Pedersen, Mathias Ruggaard},
  title =	{{On the Axiomatisability of Parallel Composition: A Journey in the Spectrum}},
  booktitle =	{31st International Conference on Concurrency Theory (CONCUR 2020)},
  pages =	{18:1--18:22},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-160-3},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{171},
  editor =	{Konnov, Igor and Kov\'{a}cs, Laura},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2020.18},
  URN =		{urn:nbn:de:0030-drops-128303},
  doi =		{10.4230/LIPIcs.CONCUR.2020.18},
  annote =	{Keywords: Axiomatisation, Parallel composition, Linear time-branching time spectrum}
}

Search Results

Documents authored by Pedersen, Mathias Ruggaard

On the Axiomatisability of Parallel Composition: A Journey in the Spectrum

Abstract

Cite as

Thanks for your feedback!

Could not send message