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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 3, Pages 600–616
DOI: https://doi.org/10.17377/smzh.2015.56.311 (Mi smj2663) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Interpolation over the minimal logic and Odintsov intervals

L. L. Maksimovaa, V. F. Yunab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (337 kB) Citations (3)
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DOI: https://doi.org/10.17377/smzh.2015.56.311
Abstract: We study Craig's interpolation property in the extensions of Johansson's minimal logic. We consider the Odintsov classification of J-logics according to their intuitionistic and negative companions which subdivides all logics into intervals. We prove that the lower endpoint of an interval has Craig interpolation property if and only if both its companions do so. We also establish the recognizability of the lower and upper endpoints which have Craig interpolation property, and find their semantic characterization.
Keywords: Johansson minimal logic, Craig interpolation property, recognizability, Odintsov interval.
Received: 08.09.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 3, Pages 476–489
DOI: https://doi.org/10.1134/S0037446615030118
Bibliographic databases:
Document Type: Article
UDC: 510.64
Language: Russian
Citation: L. L. Maksimova, V. F. Yun, “Interpolation over the minimal logic and Odintsov intervals”, Sibirsk. Mat. Zh., 56:3 (2015), 600–616; Siberian Math. J., 56:3 (2015), 476–489
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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