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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 105, Pages 45–52 (Mi znsl3398)  
This article is cited in 1 scientific paper (total in 1 paper)

Simplification of Gentzen's reductions in the classical arithmetic

L. M. Kogan-Bernstein
Full-text PDF (430 kB) Citations (1)
Abstract: The reduction of the classical arithmetic derivations used by Gentzen in [1] has not been till now put in practive. In the article a reduction which presents a considerable simplification of the reduction in [1] is suggested. Applying the methods of [3] this reduction can be used for normalization of the derivations. The derivation ordinal as in [1] is a strictly monotonous one unline that used by Gentzen in [2].
English version:
Journal of Soviet Mathematics, 1983, Volume 22, Issue 3, Pages 1305–1310
DOI: https://doi.org/10.1007/BF01084393
Bibliographic databases:
UDC: 510.64
Language: Russian
Citation: L. M. Kogan-Bernstein, “Simplification of Gentzen's reductions in the classical arithmetic”, Theoretical application of methods of mathematical logic. Part III, Zap. Nauchn. Sem. LOMI, 105, "Nauka", Leningrad. Otdel., Leningrad, 1981, 45–52; J. Soviet Math., 22:3 (1983), 1305–1310
Citation in format AMSBIB
\Bibitem{Kog81}
\by L.~M.~Kogan-Bernstein
\paper Simplification of Gentzen's reductions in the classical arithmetic
\inbook Theoretical application of methods of mathematical logic. Part~III
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 105
\pages 45--52
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3398}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=628984}
\zmath{https://zbmath.org/?q=an:0484.03031|0509.03031}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 22
\issue 3
\pages 1305--1310
\crossref{https://doi.org/10.1007/BF01084393}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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