The completeness problem for systems of functions of the algebra of logic with unreliable realization
Sbornik. Mathematics, Tome 27 (1975) no. 3, pp. 339-354 Cet article a éte moissonné depuis la source Math-Net.Ru

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The completeness problem in $P_2$ of so-called $\mu$-systems of functions of the algebra of logic with unreliable realization by means of networks of functional elements is examined. It is shown that systems of functions that are not $\mu$-systems are not complete in $P_2$. Necessary and sufficient conditions are found under which the $\mu$-system is complete in $P_2$. Figures: 11. Bibliography: 5 titles
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V. V. Tarasov. The completeness problem for systems of functions of the algebra of logic with unreliable realization. Sbornik. Mathematics, Tome 27 (1975) no. 3, pp. 339-354. http://geodesic.mathdoc.fr/item/SM_1975_27_3_a2/

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[2] E. F. Moore, C. E. Shannon, “Reliable circuits using less reliable relays”, J. Franklin Inst., 262:3, 4 (1956) | MR | Zbl

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[4] O. B. Lupanov, “O sinteze nekotorykh klassov upravlyayuschikh sistem”, Problemy kibernetiki, no. 10, Fizmatgiz, Moskva, 1963

[5] S. V. Yablonskii, G. P. Gavrilov, V. B. Kudryavtsev, Funktsii algebry logiki i klassy Posta, Fizmatgiz, Moskva, 1966