Kripke completeness of strictly positive modal logics over meet-semilattices with operators
Kikot, Stanislav and Kurucz, A. and Tanaka, Y. and Wolter, F. and Zakharyaschev, Michael (2019) Kripke completeness of strictly positive modal logics over meet-semilattices with operators. Journal of Symbolic Logic 84 (2), pp. 533-588. ISSN 0022-4812.
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Abstract
Our concern is the completeness problem for spi-logics, that is, sets of im- plications between strictly positive formulas built from propositional variables, conjunc- tion and modal diamond operators. Originated in logic, algebra and computer science, spi-logics have two natural semantics: meet-semilattices with monotone operators provid- ing Birkhoff-style calculi, and first-order relational structures (aka Kripke frames) often used as the intended structures in applications. Here we lay foundations for a complete- ness theory that aims to answer the question whether the two semantics define the same consequence relations for a given spi-logic.
Metadata
| Item Type: | Article |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Michael Zakhariyashchev |
| Date Deposited: | 03 Apr 2019 14:49 |
| Last Modified: | 09 Aug 2023 12:46 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/26985 |
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