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SEMIPRODUCTS, PRODUCTS, AND MODAL PREDICATE LOGICS: SOME EXAMPLES
- Authors: Shehtman V.1, Shkatov D.2
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Affiliations:
- Steklov Mathematical Institute, Russian Academy of Sciences
- University of the Witwatersrand
- Issue: Vol 513, No 1 (2023)
- Pages: 99-107
- Section: MATHEMATICS
- URL: https://rjeid.com/2686-9543/article/view/647925
- DOI: https://doi.org/10.31857/S2686954323600325
- EDN: https://elibrary.ru/CJIYVH
- ID: 647925
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Abstract
We study two kinds of combined modal logics, semiproducts and products with S5, and their correlation with modal predicate logics. We obtain examples of propositional modal logics when these semiproducts or products are axiomatized in the minimal way (semiproduct- or product-matching with S5), as well as counterexamples for these properties. The fmp for (semi)products together with (semi)product-matching allow us to show decidability of corresponding 1-variable modal predicate logics.
About the authors
V. Shehtman
Steklov Mathematical Institute, Russian Academy of Sciences
Author for correspondence.
Email: vshehtman@gmail.com
Russia, Moscow
D. Shkatov
University of the Witwatersrand
Email: vshehtman@gmail.com
South Africa, Johannesburg
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