Prikladnaya Diskretnaya Matematika. Supplement
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Prikladnaya Diskretnaya Matematika. Supplement, 2014, Issue 7, Pages 113–115 (Mi pdma186)  

Mathematical Foundations of Reliability of Computing and Control Systems

About basises with unreliability coefficient 5

A. V. Vasin

Penza State University, Penza
References:
Abstract: Realizations of Boolean functions by the circuits composed of unreliable elements in some complete basises are considered. It is assumed that, with probability $\varepsilon\in(0,1/2)$, all elements of a circuit independently of each other are subjected to inverse failures at the outputs. It is proved that, for all considered basises, it is possible to realize almost all Boolean functions by the circuits being asymptotically optimal by reliability and functioning with the unreliability $5\varepsilon$ as $\varepsilon\to0$.
Keywords: unreliable functional elements, circuits asymptotically optimal with respect to reliability, inverse failures on outputs of elements, synthesis of circuits composed of unreliable elements.
Document Type: Article
UDC: 519.718
Language: Russian
Citation: A. V. Vasin, “About basises with unreliability coefficient 5”, Prikl. Diskr. Mat. Suppl., 2014, no. 7, 113–115
Citation in format AMSBIB
\Bibitem{Vas14}
\by A.~V.~Vasin
\paper About basises with unreliability coefficient~5
\jour Prikl. Diskr. Mat. Suppl.
\yr 2014
\issue 7
\pages 113--115
\mathnet{http://mi.mathnet.ru/pdma186}
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