Boolean Functions: Theory, Algorithms, and Applications by Yves Crama,Peter L. Hammer

By Yves Crama,Peter L. Hammer

Written through well-known specialists within the box, this monograph offers the 1st accomplished, unified presentation of the structural, algorithmic and utilized facets of the idea of Boolean capabilities. The booklet specializes in algebraic representations of Boolean capabilities, in particular disjunctive and conjunctive common shape representations. This framework seems to be on the basic parts of the speculation (Boolean equations and satisfiability difficulties, leading implicants and linked brief representations, dualization), an in-depth research of detailed periods of Boolean services (quadratic, Horn, shellable, usual, threshold, read-once features and their characterization by means of useful equations) and fruitful generalizations of the concept that of Boolean services (partially outlined services and pseudo-Boolean functions). numerous issues are provided right here in ebook shape for the 1st time. end result of the intensity and breadth and its emphasis on algorithms and purposes, this monograph may have distinctive allure for researchers and graduate scholars in discrete arithmetic, operations examine, machine technological know-how, engineering and economics.

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