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.2018.37
URN: urn:nbn:de:0030-drops-95757
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2018/9575/
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König, Barbara ; Mika-Michalski, Christina

(Metric) Bisimulation Games and Real-Valued Modal Logics for Coalgebras

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Abstract

Behavioural equivalences can be characterized via bisimulations, modal logics and spoiler-defender games. In this paper we review these three perspectives in a coalgebraic setting, which allows us to generalize from the particular branching type of a transition system. We are interested in qualitative notions (classical bisimulation) as well as quantitative notions (bisimulation metrics).
Our first contribution is to introduce a spoiler-defender bisimulation game for coalgebras in the classical case. Second, we introduce such games for the metric case and furthermore define a real-valued modal coalgebraic logic, from which we can derive the strategy of the spoiler. For this logic we show a quantitative version of the Hennessy-Milner theorem.

BibTeX - Entry

@InProceedings{knig_et_al:LIPIcs:2018:9575,
  author =	{Barbara K{\"o}nig and Christina Mika-Michalski},
  title =	{{(Metric) Bisimulation Games and Real-Valued Modal Logics for Coalgebras}},
  booktitle =	{29th International Conference on Concurrency Theory  (CONCUR 2018)},
  pages =	{37:1--37:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-087-3},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{118},
  editor =	{Sven Schewe and Lijun Zhang},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9575},
  URN =		{urn:nbn:de:0030-drops-95757},
  doi =		{10.4230/LIPIcs.CONCUR.2018.37},
  annote =	{Keywords: coalgebra, bisimulation games, spoiler-defender games, behavioural metrics, modal logic}
}

Keywords: coalgebra, bisimulation games, spoiler-defender games, behavioural metrics, modal logic
Collection: 29th International Conference on Concurrency Theory (CONCUR 2018)
Issue Date: 2018
Date of publication: 31.08.2018

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