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

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011 Number 6, Pages 41–44 (Mi vmumm735)

This article is cited in 3 papers

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The minimal circuits for linear Boolean functions

Yu. A. Kombarov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The paper is devoted to realization of linear Boolean functions by circuits of functional elements in the basis $\left\{x\& y, x\lor y, \overline{x}\right\}$. The main result is a structure description of the minimal circuits realizing linear Boolean functions.

Key words: circuit of functional elements, linear Boolean function, minimal circuit, standard block, standard reduction.

UDC: 519.95

Received: 07.02.2011



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