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Algebra i logika, 2015, Volume 54, Number 2, Pages 252–274
DOI: https://doi.org/10.17377/alglog.2015.54.208 (Mi al691) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Recognizable logics

L. L. Maksimovaab, V. F. Yunba

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 (197 kB) Citations (18)
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DOI: https://doi.org/10.17377/alglog.2015.54.208
Abstract: We look into the recognition problem for extensions of Johansson's minimal logic J. It is proved that certain of the known logics are recognizable over J. Namely, recognizability over J is revealed for all well-composed logics possessing Craig's interpolation property (CIP), the restricted interpolation property (IPR), or the projective Beth property (PBP). It is proved that the logic JF is not reliably recognizable over J. Furthermore, we establish a link between the algebraic and the modified Kripke semantics, and give a criterion for being reliably recognizable in terms of characteristic formulas.
Keywords: Johansson’s minimal logic, recognizability, reliable recognizability, interpolation property, characteristic formula.
Received: 27.06.2014
English version:
Algebra and Logic, 2015, Volume 54, Issue 2, Pages 167–182
DOI: https://doi.org/10.1007/s10469-015-9336-7
Bibliographic databases:
Document Type: Article
UDC: 510.64
Language: Russian
Citation: L. L. Maksimova, V. F. Yun, “Recognizable logics”, Algebra Logika, 54:2 (2015), 252–274; Algebra and Logic, 54:2 (2015), 167–182
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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