عنوان

Boolean functions: theory, algorithms, and applications

عنوان اصلي

Boolean functions: theory, algorithms, and applications

محل نشرو پخش و غیره

Cambridge; New York

نام ناشر، پخش کننده و غيره

Cambridge University Press

تاریخ نشرو بخش و غیره

c2011

نام خاص و کميت اثر

xxi, 687 p. : ill

ساير اطلاعات عنواني

Encyclopedia of mathematics and its applications

ساير اطلاعات عنواني

142

متن يادداشت

"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

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Yves Crama, Peter L. Hammer

متن يادداشت

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 -- Red-once functions / Martin C. Golumbic and Vladimir Gurvich -- Characterizations of special classes by functional equations / Lisa Hellerstein -- Partially defined Boolean functions / Toshihide Ibaraki -- Pseudo-Boolean functions -- Graphs and hypergraphs -- Algorithmic complexity -- JBool : a software tool / Claude Benzaken and Nadia Brauner

عنصر شناسه ای

، Algebraic functions

عنصر شناسه ای

، Algebra, Boolean

شماره رده

تاريخ

8591-

عنصر شناسه اي

Crama, Yves

کد نقش

AU

عنصر شناسه اي

AU Hammer, P. L 1936-2006

عنصر شناسه اي

TI