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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 8, Pages 1245–1256 (Mi zvmmf3223)  
Computer experiments to find the minimum lower unity of a monotone Boolean function

V. G. Ustyuzhaninov

Novosibirsk
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Abstract: The problem of finding a minimum-norm point from the truth set of a monotone Boolean function is considered. A multiple descent algorithm is proposed for solving the problem. Some results of its application to the problem of finding the minimum covering of a binary table, which is reducible to the original problem, are presented. A formula is derived linking the average number of irredundant coverings of a binary table with its size and spectrum.
Received: 30.10.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 4, Pages 196–203
DOI: https://doi.org/10.1016/0041-5553(90)90063-X
Bibliographic databases:
Document Type: Article
UDC: 519.7
MSC: 94C10
Language: Russian
Citation: V. G. Ustyuzhaninov, “Computer experiments to find the minimum lower unity of a monotone Boolean function”, Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990), 1245–1256; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 196–203
Citation in format AMSBIB
\Bibitem{Ust90}
\by V.~G.~Ustyuzhaninov
\paper Computer experiments to find the minimum lower unity of a~monotone Boolean function
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 8
\pages 1245--1256
\mathnet{http://mi.mathnet.ru/zvmmf3223}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1074169}
\zmath{https://zbmath.org/?q=an:0712.94024}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 4
\pages 196--203
\crossref{https://doi.org/10.1016/0041-5553(90)90063-X}
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