Synthesis of easily testable circuits over the Zhegalkin basis in the case of constant faults of type~0 at outputs of elements
Diskretnaya Matematika, Tome 22 (2010) no. 3, pp. 127-133.

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Methods of synthesis of easily testable circuits of functional elements over the Zhegalkin basis for arbitrary Boolean functions are suggested. It is assumed that the faults are constant faults of type 0 at outputs of elements. It is proved that any Boolean function can be realised by a circuit allowing a complete test of length 1.
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Yu. V. Borodina; P. A. Borodin. Synthesis of easily testable circuits over the Zhegalkin basis in the case of constant faults of type~0 at outputs of elements. Diskretnaya Matematika, Tome 22 (2010) no. 3, pp. 127-133. http://geodesic.mathdoc.fr/item/DM_2010_22_3_a10/

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

[2] Yablonskii S. V., Vvedenie v diskretnuyu matematiku, Vysshaya shkola, Moskva, 2002

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

[4] Redkin N. P., Nadezhnost i diagnostika skhem, MGU, Moskva, 1992

[5] Reddy S. M., “Easily testable realization for logic functions”, IEEE Trans. Computers, 21 (1972), 124–141 | MR

[6] Borodina Yu. V., “O skhemakh, dopuskayuschikh edinichnye testy dliny 1 pri konstantnykh neispravnostyakh na vykhodakh elementov”, Vestnik Moskovskogo universiteta. Ser. 1. Matem. mekhan., 2008, no. 5, 49–52