Geodesic
On a~wide class of bases with unreliability coefficient equal to one
Diskretnyj analiz i issledovanie operacij, Tome 22 (2015) no. 1, pp. 5-18

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We consider a realization of Boolean functions by circuits composed of unreliable functional elements in some complete finite basis $B$. We assume that all elements are subjected independently of each other to inverse failures on the output with probability $\varepsilon\in(0,1/2)$. We find a set of functions $G$ and prove that the unreliability coefficient of the basis $B$ which contains functions of $G$ equals 1. Ill. 3, bibliogr. 13.
Keywords: unreliable functional element, circuit asymptotically optimal with respect to reliability, inverse failure on outputs of elements, synthesis of circuits composed of unreliable elements. 
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     author = {A. V. Vasin},
     title = {On a~wide class of bases with unreliability coefficient equal to one},
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     url = {http://geodesic.mathdoc.fr/item/DA_2015_22_1_a0/}
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A. V. Vasin. On a~wide class of bases with unreliability coefficient equal to one. Diskretnyj analiz i issledovanie operacij, Tome 22 (2015) no. 1, pp. 5-18. http://geodesic.mathdoc.fr/item/DA_2015_22_1_a0/