說明 
xxi, 687 p. : ill. ; 24 cm 
系列 
Encyclopedia of mathematics and its applications ; 142 

Encyclopedia of mathematics and its applications ; v. 142

附註 
Includes bibliographical references and index 

"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, readonce functions and their characterization by functional equations), and two fruitful generalizations of the concept of Boolean functions (partially defined functions and pseudoBoolean 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 

Fundamental concepts and applications  Boolean equations  Prime implicants and minimal DNFs / Peter L. Hammer and Alexander Kogan  Duality theory / Yves Crama and Kazuhisa Makino  Quadratic functions / Bruno Simeone  Horn functions / Endre Boros  Orthogonal forms and shellability  Regular functions  Threshold functions  Redonce functions / Martin C. Golumbic and Vladimir Gurvich  Characterizations of special classes by functional equations / Lisa Hellerstein  Partially defined Boolean functions / Toshihide Ibaraki  PseudoBoolean functions  Graphs and hypergraphs  Algorithmic complexity  JBool : a software tool / Claude Benzaken and Nadia Brauner 
主題 
Algebraic functions


Algebra, Boolean


MATHEMATICS / Linear Programming bisacsh

Alt Author 
Hammer, P. L., 19362006

