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Fundamentalnaya i Prikladnaya Matematika, 1996, Volume 2, Issue 2, Pages 483–499 (Mi fpm162)  

This article is cited in 2 scientific papers (total in 2 papers)

Grzegorczyk logic with arithmetical proof operators

E. Yu. Nogina

M. V. Lomonosov Moscow State University
Full-text PDF (636 kB) Citations (2)
Abstract: Logics with the modal operator “\ldots is true and provable” together with the modal proof operators “p is a proof of \ldots” are axiomatized. Kripke-style completeness, decidability and arithmetical completeness of these logics are established.
Received: 01.12.1995
Bibliographic databases:
UDC: 510.65
Language: Russian
Citation: E. Yu. Nogina, “Grzegorczyk logic with arithmetical proof operators”, Fundam. Prikl. Mat., 2:2 (1996), 483–499
Citation in format AMSBIB
\Bibitem{Nog96}
\by E.~Yu.~Nogina
\paper Grzegorczyk logic with arithmetical proof operators
\jour Fundam. Prikl. Mat.
\yr 1996
\vol 2
\issue 2
\pages 483--499
\mathnet{http://mi.mathnet.ru/fpm162}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1793401}
\zmath{https://zbmath.org/?q=an:0897.03015}
Linking options:
  • https://www.mathnet.ru/eng/fpm162
  • https://www.mathnet.ru/eng/fpm/v2/i2/p483
  • 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
    Фундаментальная и прикладная математика
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    Abstract page:337
    Full-text PDF :180
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