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Matematicheskie Zametki, 2010, Volume 88, Issue 2, Pages 261–274
DOI: https://doi.org/10.4213/mzm8804 (Mi mzm8804) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Axiomatization of Modal Logic Squares with Distinguished Diagonal

S. P. Kikot'

M. V. Lomonosov Moscow State University
Full-text PDF (676 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm8804
Abstract: Modal logics of squared Kripke frames with distinguished diagonal are considered. It is shown that many such logics, unlike ordinary two-dimensional products, cannot be axiomatized by formulas with finitely many variables. The method resembles that used to obtain a similar result for $\ge3$-dimensional products of modal logics. The proof uses, in particular, generalized Sahlquist formulas.
Keywords: $\delta$-square of a Kripke frame, $\delta$-square of a modal logic, $\delta$-logic of a class of frames, axiomatizability, Kripke frame, Kripke model, variety of a modal logic, modal logic.
Received: 26.01.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 2, Pages 238–250
DOI: https://doi.org/10.1134/S0001434610070229
Bibliographic databases:
Document Type: Article
UDC: 510.643
Language: Russian
Citation: S. P. Kikot', “Axiomatization of Modal Logic Squares with Distinguished Diagonal”, Mat. Zametki, 88:2 (2010), 261–274; Math. Notes, 88:2 (2010), 238–250
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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