SEMIPRODUCTS, PRODUCTS, AND MODAL PREDICATE LOGICS: SOME EXAMPLES

V. Shehtman; Шехтман В. Б.; D. Shkatov; Шкатов Д. П.

doi:10.31857/S2686954323600325

SEMIPRODUCTS, PRODUCTS, AND MODAL PREDICATE LOGICS: SOME EXAMPLES

作者: Shehtman V.¹, Shkatov D.²
隶属关系:
1. Steklov Mathematical Institute, Russian Academy of Sciences
2. University of the Witwatersrand
期: 卷 513, 编号 1 (2023)
页面: 99-107
栏目: 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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详细
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详细

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.

关键词

semiproducts of modal logics, products of modal logics, predicate modal logic

作者简介

V. Shehtman

Steklov Mathematical Institute, Russian Academy of Sciences

编辑信件的主要联系方式.
Email: vshehtman@gmail.com
Russia, Moscow

D. Shkatov

University of the Witwatersrand

Email: vshehtman@gmail.com
South Africa, Johannesburg

参考

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