RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Algebra Logika:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Algebra Logika, 2012, Volume 51, Number 2, Pages 197–215 (Mi al530)  

This article is cited in 3 scientific papers (total in 3 papers)

Interpolation in weakly transitive modal logics

A. V. Karpenko

Novosibirsk State University, Novosibirsk, Russia

Abstract: We construct an axiomatization of 16 extensions of the logic $DL$ possessing the deductive interpolation property (IPD). It is proved that the weak interpolation property (WIP) is decidable in weakly transitive modal logics. Likewise, the weak amalgamation property is proved decidable for varieties of weakly transitive modal algebras.

Keywords: weakly transitive modal logics, $DL$-logics, decidability, axiomatization, interpolation property, amalgamability.

Full text: PDF file (229 kB)
References: PDF file   HTML file

English version:
Algebra and Logic, 2012, 51:2, 131–143

Bibliographic databases:

UDC: 510.643+512.57
Received: 12.03.2011

Citation: A. V. Karpenko, “Interpolation in weakly transitive modal logics”, Algebra Logika, 51:2 (2012), 197–215; Algebra and Logic, 51:2 (2012), 131–143

Citation in format AMSBIB
\Bibitem{Kar12}
\by A.~V.~Karpenko
\paper Interpolation in weakly transitive modal logics
\jour Algebra Logika
\yr 2012
\vol 51
\issue 2
\pages 197--215
\mathnet{http://mi.mathnet.ru/al530}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2986580}
\zmath{https://zbmath.org/?q=an:06115029}
\transl
\jour Algebra and Logic
\yr 2012
\vol 51
\issue 2
\pages 131--143
\crossref{https://doi.org/10.1007/s10469-012-9177-6}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000307243000004}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84864773734}


Linking options:
  • http://mi.mathnet.ru/eng/al530
  • http://mi.mathnet.ru/eng/al/v51/i2/p197

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. L. L. Maksimova, “Restricted interpolation over modal logic $\mathrm S4$”, Algebra and Logic, 52:4 (2013), 308–335  mathnet  crossref  mathscinet  isi
    2. L. L. Maksimova, “Recognizable and perceptible logics and varieties”, Algebra and Logic, 56:3 (2017), 245–250  mathnet  crossref  crossref  mathscinet  isi
    3. Karpenko A., “Decidability of Some Interpolation Properties For Weakly Transitive Modal Logics”, Larisa Maksimova on Implication, Interpolation, and Definability, Outstanding Contributions to Logic, 15, ed. Odintsov S., Springer, 2018, 171–183  crossref  mathscinet  isi
  • Алгебра и логика Algebra and Logic
    Number of views:
    This page:404
    Full text:47
    References:23
    First page:10

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020