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.ICALP.2022.132
URN: urn:nbn:de:0030-drops-164735
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/16473/
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Schmid, Todd ; Różowski, Wojciech ; Rot, Jurriaan ; Silva, Alexandra

Processes Parametrised by an Algebraic Theory

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Abstract

We develop a (co)algebraic framework to study a family of process calculi with monadic branching structures and recursion operators. Our framework features a uniform semantics of process terms and a complete axiomatisation of semantic equivalence. We show that there are uniformly defined fragments of our calculi that capture well-known examples from the literature like regular expressions modulo bisimilarity and guarded Kleene algebra with tests. We also derive new calculi for probabilistic and convex processes with an analogue of Kleene star.

BibTeX - Entry

@InProceedings{schmid_et_al:LIPIcs.ICALP.2022.132,
  author =	{Schmid, Todd and R\'{o}\.{z}owski, Wojciech and Rot, Jurriaan and Silva, Alexandra},
  title =	{{Processes Parametrised by an Algebraic Theory}},
  booktitle =	{49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)},
  pages =	{132:1--132:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-235-8},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{229},
  editor =	{Boja\'{n}czyk, Miko{\l}aj and Merelli, Emanuela and Woodruff, David P.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/16473},
  URN =		{urn:nbn:de:0030-drops-164735},
  doi =		{10.4230/LIPIcs.ICALP.2022.132},
  annote =	{Keywords: process algebra, program semantics, coalgebra, regular expressions}
}

Keywords: process algebra, program semantics, coalgebra, regular expressions
Collection: 49th International Colloquium on Automata, Languages, and Programming (ICALP 2022)
Issue Date: 2022
Date of publication: 28.06.2022

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