Marti, Michel; Metcalfe, George (2018). Expressivity in chain-based modal logics. Archive for mathematical logic, 57(3-4), pp. 361-380. Springer International 10.1007/s00153-017-0573-4
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We investigate the expressivity of many-valued modal logics based on an algebraic structure with a complete linearly ordered lattice reduct. Necessary and sufficient algebraic conditions for admitting a suitable Hennessy-Milner property are established for classes of image-finite and (appropriately defined) modally saturated models. Full characterizations are obtained for many-valued modal logics based on complete BL-chains that are finite or have the real unit interval [0,1] as a lattice reduct, including Łukasiewicz, Gödel, and product modal logics.
Item Type: |
Journal Article (Original Article) |
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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: |
Marti, Michel, Metcalfe, George |
Subjects: |
500 Science > 510 Mathematics 000 Computer science, knowledge & systems |
ISSN: |
0933-5846 |
Publisher: |
Springer International |
Language: |
English |
Submitter: |
Lukas Jaun |
Date Deposited: |
18 Aug 2017 08:42 |
Last Modified: |
05 Dec 2022 15:06 |
Publisher DOI: |
10.1007/s00153-017-0573-4 |
BORIS DOI: |
10.7892/boris.102069 |
URI: |
https://boris.unibe.ch/id/eprint/102069 |
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