Geodesic
Synthesis of asymptotically optimal reliable circuits in basis $\{\,\lnot\}$
Diskretnyj analiz i issledovanie operacij, Tome 16 (2009) no. 6, pp. 12-22 Cet article a éte moissonné depuis la source Math-Net.Ru

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Circuits of unreliable functional elements are considered in the basis $\{\&,\lnot\}$. It is possible to realize almost all boolean functions by asymptotically optimal reliable circuits. Unreliability of these circuits is asymptotically equal to $5\varepsilon$ for almost all Boolean functions with $\varepsilon\to0$ ($\varepsilon$ is the probability of inverse failure at the output of the base element). Ill. 5, bibl. 4.
Keywords: synthesis of circuits, unreliable element, inverse failure, asymptotically optimal reliable circuits. 
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A. V. Vasin. Synthesis of asymptotically optimal reliable circuits in basis $\{\&,\lnot\}$. Diskretnyj analiz i issledovanie operacij, Tome 16 (2009) no. 6, pp. 12-22. http://geodesic.mathdoc.fr/item/DA_2009_16_6_a1/

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[2] Alekhina M. A., Sintez asimptoticheski optimalnykh po nadezhnosti skhem iz nenadezhnykh elementov, IITs PGU, Penza, 2006, 184 pp.

[3] Alekhina M. A., Shilov A. V., “Verkhnie otsenki nenadezhnosti skhem v nekotorykh bazisakh pri inversnykh neispravnostyakh na vykhodakh elementov”, Izv. vuzov. Povolzhskii region. Estestvennye nauki, 2006, no. 5(26), 4–12

[4] Chugunova V. V., Sintez asimptoticheski optimalnykh po nadezhnosti skhem pri inversnykh neispravnostyakh na vkhodakh elementov, Dis. kand. fiz.-mat. nauk, Penzenskii gos. un-t, Penza, 2007, 110 pp.