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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 3, Pages 604–619 (Mi smj2111)  
This article is cited in 6 scientific papers (total in 6 papers)

Joint consistency in extensions of the minimal logic

L. L. Maksimovaab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk
Full-text PDF (335 kB) Citations (6)
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Abstract: Analogs of Robinson's theorem on joint consistency are found which are equivalent to the weak interpolation property (WIP) in extensions of Johansson's minimal logic J. Although all propositional superintuitionistic logics possess this property, there are J-logics without WIP. It is proved that the problem of the validity of WIP in J-logics can be reduced to the same problem over the logic Gl obtained from J by adding the tertium non datur. Some algebraic criteria for validity of WIP over J and Gl are found.
Keywords: minimal logic, interpolation, joint consistency.
Received: 01.02.2010
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 3, Pages 479–490
DOI: https://doi.org/10.1007/s11202-010-0050-3
Bibliographic databases:
Document Type: Article
UDC: 510.64
Language: Russian
Citation: L. L. Maksimova, “Joint consistency in extensions of the minimal logic”, Sibirsk. Mat. Zh., 51:3 (2010), 604–619; Siberian Math. J., 51:3 (2010), 479–490
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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