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On systems of Boolean equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 5, pp. 800-807 Cet article a éte moissonné depuis la source Math-Net.Ru

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Systems of Boolean equations are considered. The order of maximal consistent subsystems is estimated in the general and “typical” (in a probability sense) cases. Applications for several well-known discrete problems are given. 
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V. K. Leont'ev; G. P. Tonoyan. On systems of Boolean equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 5, pp. 800-807. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_5_a10/

[1] Rudeany S., Boolean function and equations, Nort Holland Publ. Co., Amsterdam–L., 1974 | MR

[2] Leontev V. K., Tonoyan G. P., “Priblizhennye resheniya sistem bulevykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 33:9 (1993), 1383–1390 | MR

[3] Leontev V. K., “Verkhnyaya otsenka $\alpha$-glubiny $(0,1)$-matrits”, Matem. zametki, 15:3 (1974), 421–429 | MR

[4] Leontev V. K., “Simmetricheskie bulevy polinomy”, Zhurn. vychisl. matem. i matem. fiz., 50:8 (2010), 1520–1531 | MR

[5] Levenshtein V. I., “Elementy teorii kodirovaniya”, Diskretnaya matematika i matematicheskie voprosy kibernetiki, Nauka, M., 1974, 207–305

[6] Sapozhenko A. A., Problemy Dedekinda i metod granichnykh funktsii, Fizmatlit, M., 2009, 1–150

[7] Vyalyi M. N., Leontev V. K., Osetrov M. V., “Monotonnye bulevye polinomy”, Diskretn. analiz i issledovanie operatsii. Ser. 1, 9:4 (2002), 41–49 | MR