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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 168–178 (Mi semr315)  

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

Generic complexity of first-order theories

A. N. Rybalov

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
Full-text PDF (706 kB) Citations (2)
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Abstract: Theory of generic complexity studies algorithmical problems for “almost all” inputs. A problem can be hard or undecidable in the worst case but feasible in the generic case. In this review we describe some recent results about generic complexity of the following first order theories: any undecidable first order theory (Mysnikov, Rybalov), ordered field of real numbers (Rybalov, Fedosov), Presburger arithmetic (Rybalov).
Keywords: generic complexity, first order theory.
Received July 4, 2011, published August 16, 2011
Document Type: Article
UDC: 510.52
MSC: 03D80
Language: Russian
Citation: A. N. Rybalov, “Generic complexity of first-order theories”, Sib. Èlektron. Mat. Izv., 8 (2011), 168–178
Citation in format AMSBIB
\Bibitem{Ryb11}
\by A.~N.~Rybalov
\paper Generic complexity of first-order theories
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages 168--178
\mathnet{http://mi.mathnet.ru/semr315}
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  • https://www.mathnet.ru/eng/semr/v8/p168
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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