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Finite Bisimulations for Dynamical Systems with Overlapping Trajectories

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Abstract

Having a finite bisimulation is a good feature for a dynamical system, since it can lead to the decidability of the verification of reachability properties. We investigate a new class of o-minimal dynamical systems with very general flows, where the classical restrictions on trajectory intersections are partly lifted. We identify conditions, that we call Finite and Uniform Crossing: When Finite Crossing holds, the time-abstract bisimulation is computable and, under the stronger Uniform Crossing assumption, this bisimulation is finite and definable.

BibTeX - Entry

@InProceedings{brard_et_al:LIPIcs:2018:9693,
  author =	{B{\'e}atrice B{\'e}rard and Patricia Bouyer and Vincent Jug{\'e}},
  title =	{{Finite Bisimulations for Dynamical Systems with Overlapping Trajectories}},
  booktitle =	{27th EACSL Annual Conference on Computer Science Logic  (CSL 2018)},
  pages =	{26:1--26:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-088-0},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{119},
  editor =	{Dan Ghica and Achim Jung},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9693},
  URN =		{urn:nbn:de:0030-drops-96932},
  doi =		{10.4230/LIPIcs.CSL.2018.26},
  annote =	{Keywords: Reachability properties, dynamical systems, o-minimal structures, intersecting trajectories, finite bisimulations}
}

Keywords: Reachability properties, dynamical systems, o-minimal structures, intersecting trajectories, finite bisimulations
Seminar: 27th EACSL Annual Conference on Computer Science Logic (CSL 2018)
Issue date: 2018
Date of publication: 2018


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