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Intelligent systems. Theory and applications, 2021, Volume 25, Issue 4, Pages 117–120 (Mi ista429)  

Part 2. Mathematics and Computer Science

Power estimates of volumetric circuits for a class of partial Boolean operators

A. A. Efimov

Lomonosov Moscow State University
References:
Abstract: In this paper, volumetric circuits are researched. They are the embedding of Boolean circuts of logic gates in space. A class of volumetric circuits implementing partial Boolean operators was explored. Define the potential - a measure of power equal to the number of circuit elements issuing a one on a given input. For this class of volumetric circuits, a lower estimate of the potential is obtained. The order of the Shannon function of the potential for a class Boolean operators for volumetric circuits without constraints and Boolean circuits with near outputs is obtained.
Keywords: Boolean circuits consisting of logic gates, volumetric circuits, power of Boolean circuits, potential.
Document Type: Article
Language: Russian
Citation: A. A. Efimov, “Power estimates of volumetric circuits for a class of partial Boolean operators”, Intelligent systems. Theory and applications, 25:4 (2021), 117–120
Citation in format AMSBIB
\Bibitem{Efi21}
\by A.~A.~Efimov
\paper Power estimates of volumetric circuits for a class of partial Boolean operators
\jour Intelligent systems. Theory and applications
\yr 2021
\vol 25
\issue 4
\pages 117--120
\mathnet{http://mi.mathnet.ru/ista429}
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  • https://www.mathnet.ru/eng/ista/v25/i4/p117
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