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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 6, Pages 1337–1352 (Mi smj2500)  
This article is cited in 2 scientific papers (total in 2 papers)

Classification of extensions of the modal logic S4

L. L. Maksimova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (330 kB) Citations (2)
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Abstract: We introduce a natural classification of normal extensions of the modal logic S4 in accordance to the volumes of clusters in the Kripke frames and prove the decidability of the classification. We distinguish the main logics in this classification and establish their important properties: finite axiomatizability, finite approximability, and recognizability.
Keywords: modal logic, Kripke frame, decidability, characteristic formula.
Received: 25.10.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 6, Pages 1064–1075
DOI: https://doi.org/10.1134/S003744661306013X
Bibliographic databases:
Document Type: Article
UDC: 510.64
Language: Russian
Citation: L. L. Maksimova, “Classification of extensions of the modal logic S4”, Sibirsk. Mat. Zh., 54:6 (2013), 1337–1352; Siberian Math. J., 54:6 (2013), 1064–1075
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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