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Zapiski Nauchnykh Seminarov LOMI, 1977, Volume 68, Pages 19–25 (Mi znsl1997)  

This article is cited in 4 scientific papers (total in 4 papers)

A lower bound for the computational complexity of a set of disjunctives in a monotone basis

D. Yu. Grigor'ev
Full-text PDF (344 kB) Citations (4)
Abstract: A set of disjunctions of some variables is constructed and a nonlinear lower bound is proved for the circuit complexity of this set in systems of functional elements (s.f.e.) in a fixed monotone basis. The proposed method for proving the lower bound of circuit complexity in the s.f.e. differs from previously known methods (in a monotone basis).
English version:
Journal of Soviet Mathematics, 1981, Volume 15, Issue 1, Pages 11–14
DOI: https://doi.org/10.1007/BF01404101
Bibliographic databases:
UDC: 518.5, 519.1
Language: Russian
Citation: D. Yu. Grigor'ev, “A lower bound for the computational complexity of a set of disjunctives in a monotone basis”, Theoretical application of methods of mathematical logic. Part II, Zap. Nauchn. Sem. LOMI, 68, "Nauka", Leningrad. Otdel., Leningrad, 1977, 19–25; J. Soviet Math., 15:1 (1981), 11–14
Citation in format AMSBIB
\Bibitem{Gri77}
\by D.~Yu.~Grigor'ev
\paper A lower bound for the computational complexity of a set of disjunctives in a monotone basis
\inbook Theoretical application of methods of mathematical logic. Part~II
\serial Zap. Nauchn. Sem. LOMI
\yr 1977
\vol 68
\pages 19--25
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1997}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=534490}
\zmath{https://zbmath.org/?q=an:0449.94031|0359.94046}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 15
\issue 1
\pages 11--14
\crossref{https://doi.org/10.1007/BF01404101}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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