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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 274, Pages 343–351 (Mi tm3317)  
This article is cited in 1 scientific paper (total in 1 paper)

On squares of modal logics with additional connectives

V. B. Shehtman

Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia
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Abstract: The paper gives an overview of new results on two-dimensional modal logics of special type, “Segerberg squares.” They are defined as usual squares of modal logics with additional connectives corresponding to the diagonal symmetry and two projections onto the diagonal. In many cases these logics are finitely axiomatizable, complete and have the finite model property. Segerberg squares are interpreted in the classical predicate logic.
Received in May 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2011, Volume 274, Pages 317–325
DOI: https://doi.org/10.1134/S0081543811060204
Bibliographic databases:
Document Type: Article
UDC: 510.6
Language: Russian
Citation: V. B. Shehtman, “On squares of modal logics with additional connectives”, Algorithmic aspects of algebra and logic, Collected papers. Dedicated to Academician Sergei Ivanovich Adian on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 274, MAIK Nauka/Interperiodica, Moscow, 2011, 343–351; Proc. Steklov Inst. Math., 274 (2011), 317–325
Citation in format AMSBIB
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\paper On squares of modal logics with additional connectives
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\bookinfo Collected papers. Dedicated to Academician Sergei Ivanovich Adian on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
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\vol 274
\pages 343--351
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 1 articles:
    1. Hampson C., Kikot S., Kurucz A., “The Decision Problem of Modal Product Logics with a Diagonal, and Faulty Counter Machines”, Stud. Log., 104:3 (2016), 455–486  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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