Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 6, Pages 42–46 (Mi vmumm546)  
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Complexity of realization by formulas of special form for functions of multivalued logic

D. V. Truschin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A problem of implementation of multiple-valued logic functions by special form formulas is considered. For each prime $k$, $k\ne2$, upper exponential estimates of complexity of an arbitrary $k$-valued logic function are obtained.
Key words: function of multiple-valued logic, formula, complexity, depth.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00508
Received: 13.04.2012
English version:
Moscow University Mathematics Bulletin, 2013, Volume 68, Issue 1, Pages 57–60
DOI: https://doi.org/10.3103/S0027132213010117
Bibliographic databases:
Document Type: Article
UDC: 519.95
Language: Russian
Citation: D. V. Truschin, “Complexity of realization by formulas of special form for functions of multivalued logic”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 6, 42–46; Moscow University Mathematics Bulletin, 68:1 (2013), 57–60
Citation in format AMSBIB
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\by D.~V.~Truschin
\paper Complexity of realization by formulas of special form for functions of multivalued logic
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 6
\pages 42--46
\mathnet{http://mi.mathnet.ru/vmumm546}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 1
\pages 57--60
\crossref{https://doi.org/10.3103/S0027132213010117}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874983043}
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