Boolean functions [electronic resource] : theory, algorithms, and applications / Yves Crama, Peter L. Hammer.

9780521847513
9781139079129 (electronic book)

Cambridge ; New York : Cambridge University Press, 2011.

English

xxi, 687 p. : ill.

QA341 .C73 2011

511.3/24

"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 with in this framework the fundamental elements of the theory (Boolean equations and satisfiability problems, prime implicants and associated short representations, dualization), an indepth 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 forthe first time. Because of the unique depth and breadth of the unified treatment that it provides and 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"-- Provided by publisher.

Includes bibliographical references and index.

Access limited to authorized users.

Encyclopedia of mathematics and its applications ; v. 142.

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