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DOI: 10.4230/LIPIcs.CONCUR.2018.37
URN: urn:nbn:de:0030-drops-95757
URL: https://drops.dagstuhl.de/opus/volltexte/2018/9575/
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 | |
| Seminar: | 29th International Conference on Concurrency Theory (CONCUR 2018) | |
| Issue date: | 2018 | |
| Date of publication: | 31.08.2018 |
