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.MFCS.2021.88
URN: urn:nbn:de:0030-drops-145281
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/14528/
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Tsampas, Stelios ; Williams, Christian ; Nuyts, Andreas ; Devriese, Dominique ; Piessens, Frank

Abstract Congruence Criteria for Weak Bisimilarity

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LIPIcs-MFCS-2021-88.pdf (0.9 MB)

Abstract

We introduce three general compositionality criteria over operational semantics and prove that, when all three are satisfied together, they guarantee weak bisimulation being a congruence. Our work is founded upon Turi and Plotkin’s mathematical operational semantics and the coalgebraic approach to weak bisimulation by Brengos. We demonstrate each criterion with various examples of success and failure and establish a formal connection with the simply WB cool rule format of Bloom and van Glabbeek. In addition, we show that the three criteria induce lax models in the sense of Bonchi et al.

BibTeX - Entry

@InProceedings{tsampas_et_al:LIPIcs.MFCS.2021.88,
  author =	{Tsampas, Stelios and Williams, Christian and Nuyts, Andreas and Devriese, Dominique and Piessens, Frank},
  title =	{{Abstract Congruence Criteria for Weak Bisimilarity}},
  booktitle =	{46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)},
  pages =	{88:1--88:23},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-201-3},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{202},
  editor =	{Bonchi, Filippo and Puglisi, Simon J.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/14528},
  URN =		{urn:nbn:de:0030-drops-145281},
  doi =		{10.4230/LIPIcs.MFCS.2021.88},
  annote =	{Keywords: Structural Operational Semantics, distributive laws, weak bisimilarity}
}

Keywords: Structural Operational Semantics, distributive laws, weak bisimilarity
Collection: 46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)
Issue Date: 2021
Date of publication: 18.08.2021

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