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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 513, Pages 99–107
DOI: https://doi.org/10.31857/S2686954323600325 (Mi danma422) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Semiproducts, products, and modal predicate logics: some examples

V. B. Shehtmana, D. P. Shkatovb

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa
Citations (1)
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DOI: https://doi.org/10.31857/S2686954323600325
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.
Keywords: semiproducts of modal logics, products of modal logics, predicate modal logic.
Funding agency Grant number
Russian Science Foundation 21-11-00318
The work of the first author was carried out at Steklov Mathematical Institute and supported by the Russian Scientific Foundation, project no. 21-11-00318.
Presented: L. D. Beklemishev
Received: 12.05.2023
Revised: 03.10.2023
Accepted: 18.10.2023
English version:
Doklady Mathematics, 2023, Volume 108, Issue 2, Pages 411–418
DOI: https://doi.org/10.1134/S1064562423701296
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. B. Shehtman, D. P. Shkatov, “Semiproducts, products, and modal predicate logics: some examples”, Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023), 99–107; Dokl. Math., 108:2 (2023), 411–418
Citation in format AMSBIB
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\transl
\jour Dokl. Math.
\yr 2023
\vol 108
\issue 2
\pages 411--418
\crossref{https://doi.org/10.1134/S1064562423701296}
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  • https://www.mathnet.ru/eng/danma422
  • https://www.mathnet.ru/eng/danma/v513/p99
    • This publication is cited in the following 1 articles:
    1. Mikhail Rybakov, Dmitry Shkatov, “Variations on the Kripke Trick”, Stud Logica, 2024  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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