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作者 Crama, Yves, 1958-
書名 Boolean functions : theory, algorithms, and applications / Yves Crama, Peter L. Hammer
出版項 Cambridge ; New York : Cambridge University Press, 2011
國際標準書號 0521847516 (hardback)
9780521847513 (hardback)
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA341 C73 2011    在架上    30340200517740
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, 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
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
主題 Algebraic functions
Algebra, Boolean
MATHEMATICS / Linear Programming bisacsh
Alt Author Hammer, P. L., 1936-2006
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