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.FSCD.2020.10
URN: urn:nbn:de:0030-drops-123322
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/12332/
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Hülsbusch, Mathias ; König, Barbara ; Küpper, Sebastian ; Stoltenow, Lara

Conditional Bisimilarity for Reactive Systems

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LIPIcs-FSCD-2020-10.pdf (0.6 MB)

Abstract

Reactive systems à la Leifer and Milner, an abstract categorical framework for rewriting, provide a suitable framework for deriving bisimulation congruences. This is done by synthesizing interactions with the environment in order to obtain a compositional semantics.
We enrich the notion of reactive systems by conditions on two levels: first, as in earlier work, we consider rules enriched with application conditions and second, we investigate the notion of conditional bisimilarity. Conditional bisimilarity allows us to say that two system states are bisimilar provided that the environment satisfies a given condition. We present several equivalent definitions of conditional bisimilarity, including one that is useful for concrete proofs and that employs an up-to-context technique, and we compare with related behavioural equivalences. We instantiate reactive systems in order to obtain DPO graph rewriting and consider a case study in this setting.

BibTeX - Entry

@InProceedings{hulsbusch_et_al:LIPIcs.FSCD.2020.10,
  author =	{H\"{u}lsbusch, Mathias and K\"{o}nig, Barbara and K\"{u}pper, Sebastian and Stoltenow, Lara},
  title =	{{Conditional Bisimilarity for Reactive Systems}},
  booktitle =	{5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020)},
  pages =	{10:1--10:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-155-9},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{167},
  editor =	{Ariola, Zena M.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12332},
  URN =		{urn:nbn:de:0030-drops-123322},
  doi =		{10.4230/LIPIcs.FSCD.2020.10},
  annote =	{Keywords: conditional bisimilarity, reactive systems, up-to context, graph transformation}
}

Keywords: conditional bisimilarity, reactive systems, up-to context, graph transformation
Collection: 5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020)
Issue Date: 2020
Date of publication: 28.06.2020

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