Geodesic
Upper bound of unreliability of circuits in a~basis consisting of Webb function
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2015), pp. 15-27.

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We consider a realization of ternary logics functions by the circuits with unreliable functional gates in the basis which consists of the Webb function. It is assumed that all gates are supposed to faults on the outputs and they go to the faulty states independently. We present a method for the synthesis of reliable circuits and an upper bound for the unreliability this circuits.
Keywords: ternary logics function, functional elements circuit, unreliability of a circuit. 
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M. A. Alekhina; O. Yu. Barsukova. Upper bound of unreliability of circuits in a~basis consisting of Webb function. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2015), pp. 15-27. http://geodesic.mathdoc.fr/item/IVM_2015_3_a1/

[1] Lupanov O. B., Asimptoticheskie otsenki slozhnosti upravlyayuschikh sistem, Izd-vo MGU, M., 1984

[2] Vinogradov Yu. A., Iordanskii M. A., “Mashinnyi analiz skhem EVM”, Probl. kibernetiki, 24, Nauka, M., 1972, 147–160

[3] M. A. Rakov (red.), Modeliruyuschie sistemy s mnogoznachnym i gibridnym kodirovaniem, Sb. nauchn. tr., Nauk. dumka, Kiev, 1980

[4] Vinogradov Yu. A., “O sinteze trekhznachnykh skhem”, Matem. voprosy kibernetiki, 3, Nauka, M., 1991, 187–198 | MR

[5] Alekhina M. A., Barsukova O. Yu., “O nenadezhnosti skhem, realizuyuschikh funktsii iz $P_3$”, Izv. vuzov. Povolzhskii region. Fiz.-matem. nauki (Penza), 2012, no. 1(21), 57–65

[6] Yablonskii S. V., Vvedenie v diskretnuyu matematiku, Ucheb. posobie dlya vuzov, Vyssh. shkola, M., 2001

[7] Redkin N. P., Nadezhnost i diagnostika skhem, Ucheb. posobie dlya vuzov, Izd-vo Moskovsk. un-ta, M., 1992