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Предтабличность и интерполяционное свойство Крейга над минимальной логикой Full article

Journal Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304
Output data Year: 2023, Volume: 20, Number: 1, Pages: 245-250 Pages count : 6 DOI: 10.33048/semi.2023.20.019
Tags minimal logic, tabularity, pre-tabular logic, interpolation problem.
Authors Максимова Л.Л. 1 , Юн В.Ф. 1
Affiliations
1 Sobolev Inst Math, Pr Koptyuga 4, Novosibirsk 630090, Russia

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0011

Abstract: In this paper [1] the tabularity problem was solved and all pre-tabular extensions of the minimal logic were described. In total, there turned out to be seven pre-tabular logics over the minimal logic. In this article, we will prove that four of them have the Craig's interpolation property CIP and two do not have. The question of CIP in the seventh logic is still open.
Cite: Максимова Л.Л. , Юн В.Ф.
Предтабличность и интерполяционное свойство Крейга над минимальной логикой
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. Т.20. №1. С.245-250. DOI: 10.33048/semi.2023.20.019 WOS Scopus РИНЦ
Dates:
Submitted: Jan 1, 2022
Published print: Mar 13, 2023
Published online: Mar 13, 2023
Identifiers:
Web of science: WOS:000959070400013
Scopus: 2-s2.0-85150859756
Elibrary: 54768291
Citing:
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Web of science 2
Scopus 2
Elibrary 3
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