Implementation of Boolean Functions with a Bounded Number of Zeros by Disjunctive Normal Forms

被引：2

作者：

Maximov, Yu. V. ^{[1
,2
]}

机构：

[1] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Oblast, Russia

[2] Natl Res Univ, Higher Sch Econ, Moscow 109028, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2013年 / 53卷 / 09期

关键词：

Boolean function; disjunctive normal form; complexity of Boolean function; probably approximately correct learning; algebraic classification methods; EQUIVALENT;

D O I：

10.1134/S096554251309008X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of constructing simple disjunctive normal forms (DNFs) of Boolean functions with a small number of zeros is considered. The problem is of interest in the complexity analysis of Boolean functions and in its applications to data analysis. The method used is a further development of the reduction approach to the construction of DNFs of Boolean functions. A key idea of the reduction method is that a Boolean function is represented as a disjunction of Boolean functions with fewer zeros. In a number of practically important cases, this technique makes it possible to considerably reduce the complexity of DNF implementations of Boolean functions.

引用

页码：1391 / 1409

页数：19

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