Boolean functions
Subtitle: theory, algorithms, and applications
By: Yves Crama, Peter L. Hammer
Contributors: Hammer, P. L., 1936-2006
Series: Encyclopedia of mathematics and its applications
Publisher: Cambridge University Press
Published: 2011
Place of publication: Cambridge; New York
Language: eng
ISBN-13: 9780521847513
Subjects: Algebraic functions; Boolean Algebra; MATHEMATICS / Linear Programming
Description: "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"--
Notes: Includes bibliographical references and index.