Boolean functions minimization problem: conditions of minimality and the probabilistic method

Author:

Chukhrov Igor' Petrovich1

Affiliation:

1. Institute of Computer Aided Design of the Russian Academy of Sciences (ICAD RAS)

Abstract

The article is written on the basis of reports presented at the XII International Seminar. Discrete mathematics and its applications named after academician O. B. Lupanov (Moscow, Moscow State University, June 20–25, 2016) and contains a survey of results for the problem of minimizing Boolean functions, in which methods are considered for proving the minimality and nonconstructive approaches to obtaining estimates of parameters that characterize the complexity of minimization with respect to classes of measures difficulties.

Publisher

Keldysh Institute of Applied Mathematics

Subject

Energy (miscellaneous),Energy Engineering and Power Technology,Renewable Energy, Sustainability and the Environment,Environmental Engineering,Pollution,Nuclear Energy and Engineering,Renewable Energy, Sustainability and the Environment,Environmental Chemistry,General Engineering,Energy Engineering and Power Technology,Fuel Technology,Nuclear Energy and Engineering,Renewable Energy, Sustainability and the Environment,Energy Engineering and Power Technology,Fuel Technology,Nuclear Energy and Engineering,Renewable Energy, Sustainability and the Environment,General Energy,Economics and Econometrics,General Energy,Energy Engineering and Power Technology,Building and Construction,Renewable Energy, Sustainability and the Environment,Energy Engineering and Power Technology,Fuel Technology,Nuclear Energy and Engineering,Renewable Energy, Sustainability and the Environment,Management, Monitoring, Policy and Law,Renewable Energy, Sustainability and the Environment,Geography, Planning and Development

Reference35 articles.

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4. Дискретная математика и математические вопросы кибернетики. Т. I. / Под ред. В. Я б л о н с к о г о и О. Б. Л у п а н о в а. — М.: Наука, 1974.

5. Еремеев А. В., Заозерская Л. А., Колоколов А. А. Задача о покрытии: сложность, алгоритмы, экспериментальные исследования // Дискретный анализ и исследование операций. Серия 2. — 2000. — Т. 7, № 2. — С. 22–46.

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