Geodesic
The criteria of completeness for redefining boolean function
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 3, pp. 95-114 Cet article a éte moissonné depuis la source Math-Net.Ru

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Boolean function with two kinds of indeterminateness are considered. Appropriat definition of superposition, closed classes is introduced and the criteria of completeness is proved. 
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V. I. Panteleyev. The criteria of completeness for redefining boolean function. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 3, pp. 95-114. http://geodesic.mathdoc.fr/item/VNGU_2009_9_3_a6/

[1] Panteleev V. I., Peryazev N. A., “Nedoopredelennye chastichnye bulevy funktsii i bulevy uravneniya”, Diskretnye modeli v teorii upravlyayuschikh sistem, Materialy VII mezhdunarodnoi konferentsii, MAKS Press, M., 2006, 262–265

[2] Post E., “Introduction to a General Theory of Elementary Proposition”, Amer. J. Math., 43:4 (1921), 163–185 | DOI | MR | Zbl

[3] Freivald R. V., “O polnote chastichnykh funktsii algebry logiki”, DAN SSSR, 167:6 (1966), 1249–1250 | Zbl

[4] Tarasov V. V., “Kriterii polnoty dlya ne vsyudu opredelennykh funktsii algebry logiki”, Problemy kibernetiki, 30, Nauka, M., 1975, 319–325 | Zbl

[5] Marchenkov S. S., Zamknutye klassy bulevykh funktsii, Fizmatlit, M., 2000 | MR | Zbl