Boolean function minimization in the class of disjunctive normal forms
Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 25 (1987), pp. 68-116
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The survey focuses on minimization of boolean functions in the class of disjunctive normal forms (d.n.f.s) and covers the publications from 1953 to 1986. The main emphasis is on the mathematical direction of research in boolean function minimization: bounds of parameters of boolean functions and algorithmic difficulties of minimal d.n.f. synthesis). The survey also presents a classification of minimization algorithms and gives some examples of minimization heuristics with their efficiency bounds.
@article{INTV_1987_25_a1,
author = {A. A. Sapozhenko and I. P. Chukhrov},
title = {Boolean function minimization in the class of disjunctive normal forms},
journal = {Itogi nauki i tehniki. Seri\^a, Teori\^a vero\^atnostej. Matemati\v{c}eska\^a statistika. Teoreti\v{c}eska\^a kibernetika},
pages = {68--116},
year = {1987},
volume = {25},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTV_1987_25_a1/}
}
TY - JOUR AU - A. A. Sapozhenko AU - I. P. Chukhrov TI - Boolean function minimization in the class of disjunctive normal forms JO - Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika PY - 1987 SP - 68 EP - 116 VL - 25 UR - http://geodesic.mathdoc.fr/item/INTV_1987_25_a1/ LA - ru ID - INTV_1987_25_a1 ER -
%0 Journal Article %A A. A. Sapozhenko %A I. P. Chukhrov %T Boolean function minimization in the class of disjunctive normal forms %J Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika %D 1987 %P 68-116 %V 25 %U http://geodesic.mathdoc.fr/item/INTV_1987_25_a1/ %G ru %F INTV_1987_25_a1
A. A. Sapozhenko; I. P. Chukhrov. Boolean function minimization in the class of disjunctive normal forms. Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 25 (1987), pp. 68-116. http://geodesic.mathdoc.fr/item/INTV_1987_25_a1/