A Hennessy-Milner Property for Many-Valued Modal Logics

Metcalfe, George; Marti, Michel (2014). A Hennessy-Milner Property for Many-Valued Modal Logics. In: Goré, Rajeev; Kooi, Barteld; Kurucz, Agi (eds.) Advances in Modal Logic. Advances in Modal Logic: Vol. 10 (pp. 407-420). London: College Publications

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A Hennessy-Milner property, relating modal equivalence and bisimulations, is defined for many-valued modal logics that combine a local semantics based on a complete MTL-chain (a linearly ordered commutative integral residuated lattice) with crisp Kripke frames. A necessary and sufficient algebraic condition is then provided for the class of image-finite models of these logics to admit the Hennessy-Milner property. Complete characterizations are obtained in the case of many-valued modal logics based on BL-chains (divisible MTL-chains) that are finite or have universe [0,1], including crisp Lukasiewicz, Gödel, and product modal logics.

Item Type: Book Section (Book Chapter)
Division/Institute: 08 Faculty of Science > Institute of Computer Science (INF) > Logic and Theory Group (LTG)
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics
08 Faculty of Science > Institute of Computer Science (INF)
UniBE Contributor: Metcalfe, George and Marti, Michel
Subjects: 000 Computer science, knowledge & systems
500 Science > 510 Mathematics
ISBN: 978-1-84890-151-3
Series: Advances in Modal Logic
Publisher: College Publications
Language: English
Submitter: George Metcalfe
Date Deposited: 11 Nov 2014 08:52
Last Modified: 24 Feb 2015 12:09
BORIS DOI: 10.7892/boris.59756
URI: http://boris.unibe.ch/id/eprint/59756

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