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Diskretnyi Analiz i Issledovanie Operatsii, 2009, Volume 16, Issue 2, Pages 42–60 (Mi da567)  
This article is cited in 2 scientific papers (total in 2 papers)

The class of Skolem elementary functions

S. A. Volkov

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (769 kB) Citations (2)
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Abstract: In this paper, we consider different equivalent definitions of the class of Skolem elementary functions (these definitions are analogous to the well-known definitions of the Kalmar elementary function class) and some results concerned with this class which are obtained by different mathematicians. Some definitions of this class were investigated by mathematicians independently. In this paper we prove equivalence of these definitions. Also, we study the problem on existence of superposition bases for this class. We prove that this problem is equivalent to one problem from complexity theory. Bibl. 26.
Keywords: classification of recursive functions, computational complexity.
Received: 24.10.2008
English version:
Journal of Applied and Industrial Mathematics, 2010, Volume 4, Issue 4, Pages 588–599
DOI: https://doi.org/10.1134/S1990478910040149
Bibliographic databases:
UDC: 519.712
Language: Russian
Citation: S. A. Volkov, “The class of Skolem elementary functions”, Diskretn. Anal. Issled. Oper., 16:2 (2009), 42–60; J. Appl. Industr. Math., 4:4 (2010), 588–599
Citation in format AMSBIB
\Bibitem{Vol09}
\by S.~A.~Volkov
\paper The class of Skolem elementary functions
\jour Diskretn. Anal. Issled. Oper.
\yr 2009
\vol 16
\issue 2
\pages 42--60
\mathnet{http://mi.mathnet.ru/da567}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2574308}
\zmath{https://zbmath.org/?q=an:1249.03080}
\transl
\jour J. Appl. Industr. Math.
\yr 2010
\vol 4
\issue 4
\pages 588--599
\crossref{https://doi.org/10.1134/S1990478910040149}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78650057761}
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    • 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
    		Дискретный анализ и исследование операций
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    Abstract page:441
    Full-text PDF :143
    References:47
    First page:7
     
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