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Boolean Functions: Theory, Algorithms, and Applications

Boolean Functions: Theory, Algorithms, and Applications

Hardcover

Series: Encyclopedia of Mathematics and Its Applications

AlgebraGeneral Mathematics

ISBN10: 0521847516
ISBN13: 9780521847513
Publisher: Cambridge
Published: May 16 2011
Pages: 710
Weight: 2.30
Height: 2.00 Width: 6.40 Depth: 9.30
Language: English
Written by prominent experts in the field, this monograph provides the first comprehensive and unified presentation of the structural, algorithmic, and applied aspects of the theory of Boolean functions. The book focuses on algebraic representations of Boolean functions, especially disjunctive and conjunctive normal form representations. It presents in this framework the fundamental elements of the theory (Boolean equations and satisfiability problems, prime implicants and associated short representations, dualization), an in-depth study of special classes of Boolean functions (quadratic, Horn, shellable, regular, threshold, read-once functions and their characterization by functional equations), and two fruitful generalizations of the concept of Boolean functions (partially defined functions and pseudo-Boolean functions). Several topics are presented here in book form for the first time. Because of the unique depth and breadth of the unified treatment that it provides and of its emphasis on algorithms and applications, this monograph will have special appeal for researchers and graduate students in discrete mathematics, operations research, computer science, engineering, and economics.

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General Mathematics