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Russian Mathematical Surveys, 2012, Volume 67, Issue 4, Pages 721–777
DOI: https://doi.org/10.1070/RM2012v067n04ABEH004805 (Mi rm9442) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Squares of modal logics with additional connectives

V. B. Shehtmanabc

a National Research University "Higher School of Economics"
b Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences
c Moscow State University
English version PDF (984 kB) Citations (2) Russian version article
References:
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DOI: https://doi.org/10.1070/RM2012v067n04ABEH004805
Abstract: This paper studies two-dimensional modal logics of a special type, ‘Segerberg squares’. They are defined as the usual squares of modal logics with additional connectives corresponding to the diagonal symmetry and the two projections onto the diagonal. For these logics a finite axiomatization is constructed in many cases, and completeness and the finite model property are proved. A translation of Segerberg squares into classical predicate logic is constructed.
Bibliography: 21 titles.
Keywords: modal logic, product of modal logics, Segerberg square, completeness, finite model property, filtration method, classical predicate logic, Entscheidungsproblem.
Received: 10.08.2011
Bibliographic databases:
Document Type: Article
MSC: 03B45, 03B10, 03B25
Language: English
Original paper language: Russian
Citation: V. B. Shehtman, “Squares of modal logics with additional connectives”, Russian Math. Surveys, 67:4 (2012), 721–777
Citation in format AMSBIB
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\by V.~B.~Shehtman
\paper Squares of modal logics with additional connectives
\jour Russian Math. Surveys
\yr 2012
\vol 67
\issue 4
\pages 721--777
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84868623384}
Linking options:
  • https://www.mathnet.ru/eng/rm9442
  • https://doi.org/10.1070/RM2012v067n04ABEH004805
  • https://www.mathnet.ru/eng/rm/v67/i4/p129
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:634
    Russian version PDF:372
    English version PDF:28
    References:113
    First page:28
     
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