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Algebra i logika, 2016, Volume 55, Number 4, Pages 449–464
DOI: https://doi.org/10.17377/alglog.2016.55.405 (Mi al752) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Layers over minimal logic

L. L. Maksimovaab, V. F. Yunab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
Full-text PDF (175 kB) Citations (7)
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DOI: https://doi.org/10.17377/alglog.2016.55.405
Abstract: We introduce a classification of extensions of Johansson's minimal logic J that extends the classification of superintuitionistic logics proposed by T. Hosoi. It is proved that the layer number of any finitely axiomatizable logic is effectively computable. Every layer over J has a least logic. It is stated that each layer has finitely many maximal logics, and minimal and maximal logics of all layers are recognizable over J.
Keywords: minimal logic, decidability, recognizable logic, Kripke frame.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6848.2016.1
Supported by the Grants Council (under RF President) for State Aid of Leading Scientific Schools, grant NSh-6848.2016.1.
Received: 09.07.2015
English version:
Algebra and Logic, 2016, Volume 55, Issue 4, Pages 295–305
DOI: https://doi.org/10.1007/s10469-016-9399-0
Bibliographic databases:
Document Type: Article
UDC: 510.64
Language: Russian
Citation: L. L. Maksimova, V. F. Yun, “Layers over minimal logic”, Algebra Logika, 55:4 (2016), 449–464; Algebra and Logic, 55:4 (2016), 295–305
Citation in format AMSBIB
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\pages 449--464
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\transl
\jour Algebra and Logic
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\pages 295--305
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
     
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