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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 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

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.

UDC: 519.95

Received: 13.04.2012


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2013, 68:1, 57–60

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