License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CONCUR.2019.41
URN: urn:nbn:de:0030-drops-109431
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/10943/
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Kappé, Tobias ; Brunet, Paul ; Rot, Jurriaan ; Silva, Alexandra ; Wagemaker, Jana ; Zanasi, Fabio

Kleene Algebra with Observations

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LIPIcs-CONCUR-2019-41.pdf (0.5 MB)

Abstract

Kleene algebra with tests (KAT) is an algebraic framework for reasoning about the control flow of sequential programs. Generalising KAT to reason about concurrent programs is not straightforward, because axioms native to KAT in conjunction with expected axioms for concurrency lead to an anomalous equation. In this paper, we propose Kleene algebra with observations (KAO), a variant of KAT, as an alternative foundation for extending KAT to a concurrent setting. We characterise the free model of KAO, and establish a decision procedure w.r.t. its equational theory.

BibTeX - Entry

@InProceedings{kapp_et_al:LIPIcs:2019:10943,
  author =	{Tobias Kapp{\'e} and Paul Brunet and Jurriaan Rot and Alexandra Silva and Jana Wagemaker and Fabio Zanasi},
  title =	{{Kleene Algebra with Observations}},
  booktitle =	{30th International Conference on Concurrency Theory (CONCUR 2019)},
  pages =	{41:1--41:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-121-4},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{140},
  editor =	{Wan Fokkink and Rob van Glabbeek},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10943},
  URN =		{urn:nbn:de:0030-drops-109431},
  doi =		{10.4230/LIPIcs.CONCUR.2019.41},
  annote =	{Keywords: Concurrent Kleene algebra, Kleene algebra with tests, free model, axiomatisation, decision procedure}
}

Keywords: Concurrent Kleene algebra, Kleene algebra with tests, free model, axiomatisation, decision procedure
Collection: 30th International Conference on Concurrency Theory (CONCUR 2019)
Issue Date: 2019
Date of publication: 20.08.2019

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