A Hennessy-Milner Property for Many-Valued Modal Logics


Autoria(s): Metcalfe, George; Marti, Michel
Contribuinte(s)

Goré, Rajeev

Kooi, Barteld

Kurucz, Agi

Data(s)

01/08/2014

Resumo

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.

Formato

application/pdf

Identificador

http://boris.unibe.ch/59756/1/MarMetAiML_final.pdf

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

doi:10.7892/boris.59756

urn:isbn:978-1-84890-151-3

Idioma(s)

eng

Publicador

College Publications

Relação

http://boris.unibe.ch/59756/

http://aiml.net/volumes/volume10/

Direitos

info:eu-repo/semantics/openAccess

Fonte

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

Palavras-Chave #000 Computer science, knowledge & systems #510 Mathematics
Tipo

info:eu-repo/semantics/bookPart

info:eu-repo/semantics/publishedVersion

PeerReviewed