Short conditional complete diagnostic tests for circuits under one-type constant faults of gates
Diskretnaya Matematika, Tome 34 (2022) no. 3, pp. 63-69.

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We prove that any (almost any) $n$-place Boolean function can be implemented by a logic circuit in the “conjunction, disjunction, implication, negation” basis admitting a conditional complete diagnostic test of length at most $n$ (at most $n-1$, respectively) relative to constant faults of type $0$ on outputs of gates.
Keywords: logic circuit, conditional test, complete diagnostic test, constant fault, Boolean function.
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K. A. Popkov. Short conditional complete diagnostic tests for circuits under one-type constant faults of gates. Diskretnaya Matematika, Tome 34 (2022) no. 3, pp. 63-69. http://geodesic.mathdoc.fr/item/DM_2022_34_3_a4/

[1] Yablonskii S. V., “Nadezhnost i kontrol upravlyayuschikh sistem”, Materialy Vsesoyuznogo seminara po diskret. matem. i ee prilozheniyam (Moskva, 31 yanvarya–2 fevralya 1984 g.), Izd-vo MGU, M., 1986, 7–12

[2] Yablonskii S. V., “Nekotorye voprosy nadezhnosti i kontrolya upravlyayuschikh sistem”, Matematicheskie voprosy kibernetiki, 1, Nauka, M., 1988, 5–25

[3] Redkin N. P., Nadezhnost i diagnostika skhem, Izd-vo MGU, M., 1992, 192 pp.

[4] Popkov K. A., “Nizhnie otsenki dlin polnykh diagnosticheskikh testov dlya skhem i vkhodov skhem”, Prikladnaya diskretnaya matematika, 2016, no. 4(34), 65–73 | Zbl

[5] Redkin N. P., “K voprosu o dline diagnosticheskikh testov dlya skhem”, Matematicheskie zametki, 102:4 (2017), 624–627 | Zbl

[6] Shevchenko V. I., Issledovanie slozhnosti uslovnykh testov dlya diagnostiki neispravnostei skhem iz funktsionalnykh elementov, diss. \ldots kand. fiz.-matem. nauk, Nizhnii Novgorod, 1995, 149 pp.

[7] Moshkov M. Yu., “Diagnostika konstantnykh neispravnostei skhem iz funktsionalnykh elementov”, Matematicheskie voprosy kibernetiki, 9, Fizmatlit, M., 2000, 79–100

[8] Lozhkin S. A., Lektsii po osnovam kibernetiki (uchebnoe posobie dlya studentov), Izdatelskii otdel f-ta VMiK MGU, M., 2004, 251 pp.

[9] Yablonskii S. V., Vvedenie v diskretnuyu matematiku, Nauka, M., 1986, 384 pp. | MR