Circuits for disjunction admitting short unitary diagnostic tests
Diskretnaya Matematika, Tome 22 (2010) no. 4, pp. 43-54.

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We study tests for circuits realising disjunction. In a circuit, the inversion fault is allowed at the output of precisely one functional element. For any functionally complete basis $B$ it is found that for any $n\ge3$ the disjunction of $n$ variables can be realised by a circuit over $B$ which admits a unitary diagnostic test consisting of at most two tuples. It is proved that this result cannot be improved in the general case.
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S. R. Bedzhanova. Circuits for disjunction admitting short unitary diagnostic tests. Diskretnaya Matematika, Tome 22 (2010) no. 4, pp. 43-54. http://geodesic.mathdoc.fr/item/DM_2010_22_4_a3/

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

[2] Redkin N. P., Diskretnaya matematika, Izd-vo TsPI pri mekh.-mat. f-te MGU, Moskva, 2007

[3] Redkin N. P., Nadezhnost i diagnostika skhem, Izd-vo MGU, Moskva, 1992

[4] Yablonskii S. V., “Nekotorye voprosy nadezhnosti i kontrolya upravlyayuschikh sistem”, Matematicheskie voprosy kibernetiki, 1, 1988, 5–25 | MR

[5] Redkin N. P., “Edinichnye proveryayuschie testy dlya skhem pri inversnykh neispravnostyakh elementov”, Matematicheskie voprosy kibernetiki, 12, 2003, 217–230

[6] Bedzhanova S. R., “O minimalnykh testakh dlya skhem, realizuyuschikh diz'yunktsiyu”, Diskretnyi analiz i issledovanie operatsii, 15:2 (2008), 3–11 | MR

[7] Yablonskii S. V., Vvedenie v diskretnuyu matematiku, Nauka, Moskva, 1986 | MR

[8] Redkin N. P., “O polnykh proveryayuschikh testakh dlya skhem iz funktsionalnykh elementov”, Matematicheskie voprosy kibernetiki, 2, 1992, 198–222