A van Benthem theorem for modal team semantics

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Kontinen, J.; Müller, J.-S.; Schnoor, H.; Vollmer, H.: A van Benthem theorem for modal team semantics. In: Leibniz International Proceedings in Informatics, LIPIcs 41 (2015), S. 277-291. DOI: https://doi.org/10.4230/LIPIcs.CSL.2015.277

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Sum total of downloads: 98




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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.
License of this version: CC BY 4.0
Document Type: article
Publishing status: publishedVersion
Issue Date: 2015
Appears in Collections:Fakultät für Elektrotechnik und Informatik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 94 95.92%
2 image of flag of Ukraine Ukraine 1 1.02%
3 image of flag of Thailand Thailand 1 1.02%
4 image of flag of China China 1 1.02%
5 image of flag of Brazil Brazil 1 1.02%

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