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Diskretnaya Matematika, 2004, Volume 16, Issue 2, Pages 117–120
DOI: https://doi.org/10.4213/dm157
(Mi dm157)
 

This article is cited in 8 scientific papers (total in 8 papers)

On the complexity of polarized polynomials of functions of many-valued logics that depend on one variable

S. N. Selezneva
Full-text PDF (320 kB) Citations (8)
References:
Abstract: We consider multi-valued logic functions represented by polarised polynomials. A polynomial is called polarised if each its variable can be polarised by a certain shift. We introduce the Shannon function which characterises the complexity of representations of multi-valued logic functions by polarised polynomials and obtain an exact estimate of the Shannon function for functions in one variable.
This research was supported by the Russian Foundation for Basic Research, grant 00–01–00351.
Received: 20.09.2003
English version:
Discrete Mathematics and Applications, 2004, Volume 14, Issue 3, Pages 263–266
DOI: https://doi.org/10.1515/1569392031905539
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: S. N. Selezneva, “On the complexity of polarized polynomials of functions of many-valued logics that depend on one variable”, Diskr. Mat., 16:2 (2004), 117–120; Discrete Math. Appl., 14:3 (2004), 263–266
Citation in format AMSBIB
\Bibitem{Sel04}
\by S.~N.~Selezneva
\paper On the complexity of polarized polynomials of functions of many-valued logics that depend on one variable
\jour Diskr. Mat.
\yr 2004
\vol 16
\issue 2
\pages 117--120
\mathnet{http://mi.mathnet.ru/dm157}
\crossref{https://doi.org/10.4213/dm157}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2084574}
\zmath{https://zbmath.org/?q=an:1121.03033}
\transl
\jour Discrete Math. Appl.
\yr 2004
\vol 14
\issue 3
\pages 263--266
\crossref{https://doi.org/10.1515/1569392031905539}
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  • https://doi.org/10.4213/dm157
  • https://www.mathnet.ru/eng/dm/v16/i2/p117
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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