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DOI: 10.4230/LIPIcs.CSL.2015.277
URN: urn:nbn:de:0030-drops-54206
URL: http://drops.dagstuhl.de/opus/volltexte/2015/5420/
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Kontinen, Juha ; Müller, Julian-Steffen ; Schnoor, Henning ; Vollmer, Heribert

A Van Benthem Theorem for Modal Team Semantics

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Abstract

The famous van Benthem theorem states that modal logic corresponds exactly to the fragment of first-order logic that is invariant under bisimulation. In this article we prove an exact analogue of this theorem in the framework of modal dependence logic (MDL) and team semantics. We show that Modal Team Logic (MTL) extending MDL by classical negation captures exactly the FO-definable bisimulation invariant properties of Kripke structures and teams. We also compare the expressive power of MTL to most of the variants and extensions of MDL recently studied in the area.

BibTeX - Entry

@InProceedings{kontinen_et_al:LIPIcs:2015:5420,
  author =	{Juha Kontinen and Julian-Steffen M{\"u}ller and Henning Schnoor and Heribert Vollmer},
  title =	{{A Van Benthem Theorem for Modal Team Semantics}},
  booktitle =	{24th EACSL Annual Conference on Computer Science Logic (CSL 2015)},
  pages =	{277--291},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-90-3},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{41},
  editor =	{Stephan Kreutzer},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5420},
  URN =		{urn:nbn:de:0030-drops-54206},
  doi =		{10.4230/LIPIcs.CSL.2015.277},
  annote =	{Keywords: modal logic, dependence logic, team semantics, expressivity, bisimulation, independence, inclusion, generalized dependence atom}
}

Keywords: modal logic, dependence logic, team semantics, expressivity, bisimulation, independence, inclusion, generalized dependence atom
Seminar: 24th EACSL Annual Conference on Computer Science Logic (CSL 2015)
Issue Date: 2015
Date of publication: 04.09.2015


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