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Mathematics of the USSR-Izvestiya, 1992, Volume 38, Issue 2, Pages 375–397
DOI: https://doi.org/10.1070/IM1992v038n02ABEH002204 (Mi im1015) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On superintuitionistic propositional logics connected with partially ordered sets

V. I. Khomich
English version PDF (1247 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1992v038n02ABEH002204
Abstract: This paper introduces a new method of representing pseudo-Boolean algebras by implication structures of a special type or by partially ordered sets. This is used to construct four sequences of pseudo-Boolean algebras. Their properties and the properties of the logics prescribed by the sequences are studied. The connection between these logics and the logic consisting of the realizable propositional formulas is established, and a problem posed by Hosoi and Ono is solved.
Received: 16.11.1989
Bibliographic databases:
UDC: 510.6
MSC: Primary 03B60, 03F55, 03G05; Secondary 03B99
Language: English
Original paper language: Russian
Citation: V. I. Khomich, “On superintuitionistic propositional logics connected with partially ordered sets”, Math. USSR-Izv., 38:2 (1992), 375–397
Citation in format AMSBIB
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\by V.~I.~Khomich
\paper On superintuitionistic propositional logics connected with partially ordered sets
\jour Math. USSR-Izv.
\yr 1992
\vol 38
\issue 2
\pages 375--397
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\crossref{https://doi.org/10.1070/IM1992v038n02ABEH002204}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1133304}
\zmath{https://zbmath.org/?q=an:0745.03021}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..38..375K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992HR86300008}
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  • https://doi.org/10.1070/IM1992v038n02ABEH002204
  • https://www.mathnet.ru/eng/im/v55/i2/p384
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:285
    Russian version PDF:105
    English version PDF:11
    References:53
    First page:1
     
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