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Minimization of Boolean expressions using matrix algebra

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  • Schwender, Holger

Abstract

The more variables a logic expression contain, the more complicated is the interpretation of this expression. Since in a statistical sense prime implicants can be interpreted as interactions of binary variables, it is thus advantageous to convert such a logic expression into a disjunctive normal form consisting of prime implicants. In this paper, we present two algorithms based on matrix algebra for the identification of all prime implicants comprised in a logic expression and for the minimization of this set of prime implicants.

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  • Schwender, Holger, 2007. "Minimization of Boolean expressions using matrix algebra," Technical Reports 2007,09, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:200709
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    1. Schwender, Holger & Ickstadt, Katja, 2006. "Identification of SNP interactions using logic regression," Technical Reports 2006,31, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
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