{"title":"Craig’s Interpolation Property in Pretabular Logics","authors":"L. L. Maksimova, V. F. Yun","doi":"10.1134/s0037446624020095","DOIUrl":null,"url":null,"abstract":"<p>All pretabular extensions of the minimal logic were described and\nthe tabularity problem was solved earlier. As turned out, in total, there are seven\npretabular logics over the minimal logic. It was proved that four of them have\nCraig’s interpolation property (CIP) and two do not. In the present article,\nwe solve the problem of CIP in the seventh logic. We prove that\nit has Craig’s interpolation property.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624020095","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
All pretabular extensions of the minimal logic were described and
the tabularity problem was solved earlier. As turned out, in total, there are seven
pretabular logics over the minimal logic. It was proved that four of them have
Craig’s interpolation property (CIP) and two do not. In the present article,
we solve the problem of CIP in the seventh logic. We prove that
it has Craig’s interpolation property.
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