Geodesic
Synthesis of asymptotically optimal reliable circuits in basis $\{\,\lnot\}$
Diskretnyj analiz i issledovanie operacij, Tome 16 (2009) no. 6, pp. 12-22

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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. 
@article{DA_2009_16_6_a1,
     author = {A. V. Vasin},
     title = {Synthesis of asymptotically optimal reliable circuits in basis $\{\&,\lnot\}$},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {12--22},
     publisher = {mathdoc},
     volume = {16},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DA_2009_16_6_a1/}
}
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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/