2011Pattern Recognition and Image AnalysisRequires access

Efficient construction of DNF for some boolean functions with a small number of zeros

M. Yu. Romanov

Open publisher page 1 citations

Abstract

Boolean functions with a small number of zeros are studied. A linear algorithm for constructing a dead-end disjunctive normal form (DNF) is obtained for a function of special form from this class. The resulting dead-end DNF insignificantly differs from theoretical estimates for the minimal DNF.

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What this paper is about

Boolean functions with a small number of zeros are studied. A linear algorithm for constructing a dead-end disjunctive normal form (DNF) is obtained for a function of special form from this class. The resulting dead-end DNF insignificantly differs from theoretical estimates for the minimal DNF.

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Available abstract

Boolean functions with a small number of zeros are studied. A linear algorithm for constructing a dead-end disjunctive normal form (DNF) is obtained for a function of special form from this class. The resulting dead-end DNF insignificantly differs from theoretical estimates for the minimal DNF.

Key concepts: Boolean function, Disjunctive normal form, Mathematics, Class (philosophy), Function (biology), Conjunctive normal form, Parity function, Discrete mathematics

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