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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 4, Pages 863–878
DOI: https://doi.org/10.17377/smzh.2018.59.410 (Mi smj3015) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Extensions of the minimal logic and the interpolation problem

L. L. Maksimovaab, V. F. Yunab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (330 kB) Citations (4)
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DOI: https://doi.org/10.17377/smzh.2018.59.410
Abstract: Under study is the interpolation problem over Johansson's minimal logic J. We give a detailed exposition of the current state of this difficult problem, establish Craig's interpolation property for several extensions of J, prove the absence of CIP in some families of extensions of J, and survey the results on interpolation over J. Also, the relationship is discussed between the interpolation properties and the recognizability of logics.
Keywords: interpolation, minimal logic, Johansson algebra, recognizable logic.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6848.2016.1
The authors were supported by the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-6848.2016.1).
Received: 09.05.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 4, Pages 681–693
DOI: https://doi.org/10.1134/S0037446618040109
Bibliographic databases:
Document Type: Article
UDC: 510.6
Language: Russian
Citation: L. L. Maksimova, V. F. Yun, “Extensions of the minimal logic and the interpolation problem”, Sibirsk. Mat. Zh., 59:4 (2018), 863–878; Siberian Math. J., 59:4 (2018), 681–693
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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