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Matematicheskie Zametki, 2007, Volume 81, Issue 2, Pages 217–225
DOI: https://doi.org/10.4213/mzm3549 (Mi mzm3549) 		 
Binary Terms in Polynomial Representations of Boolean Functions

A. S. Zinchenkoa, V. I. Panteleevb

a Irkutsk State Pedagogical University
b Irkutsk State University
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DOI: https://doi.org/10.4213/mzm3549
Abstract: Polynomial representations of Boolean functions by binary terms are considered. The construction of terms involves variables and residual functions. Special cases of such representations are the decomposition of a function with respect to variables, Zhegalkin polynomials, and representations of functions as sums of conjunctions of residual functions.
Keywords: representation of Boolean functions by binary terms, Zhegalkin polynomial, polynomial representation of Boolean functions.
Received: 12.03.2005
Revised: 01.08.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 2, Pages 193–200
DOI: https://doi.org/10.1134/S0001434607010221
Bibliographic databases:
UDC: 519.716.322
Language: Russian
Citation: A. S. Zinchenko, V. I. Panteleev, “Binary Terms in Polynomial Representations of Boolean Functions”, Mat. Zametki, 81:2 (2007), 217–225; Math. Notes, 81:2 (2007), 193–200
Citation in format AMSBIB
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