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[ 洋図書 ] Boolean functions : theory, algorithms, and applications / ( Encyclopedia of mathematics and its applications ; 142 )

Yves Crama, Peter L. Hammer. -- Cambridge University Press, -- 2011. --

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ISBN 0521847516 (hardback)
ISBN13桁 9780521847513 (hardback)
テキストの言語 英語                  
分類：NDC10版 410.8
個人著者標目 Crama, Yves,
生没年等 1958-
本タイトル Boolean functions :
タイトル関連情報 theory, algorithms, and applications /
著者名 Yves Crama, Peter L. Hammer.
出版地・頒布地 Cambridge ;
出版者・頒布者名 Cambridge University Press,
出版年・頒布年 2011.
数量 xxi, 687 p. :
他の形態的事項 ill. ;
大きさ 24 cm.
一般注記 "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.
書誌注記 Includes bibliographical references (p. 635-675) and index.
内容注記 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.
著者標目 Hammer, P. L., 1936-2006.
シリーズ名・巻次 Encyclopedia of mathematics and its applications ; 142
一般件名 Algebraic functions.
Algebra, Boolean.
資料情報1 『Boolean functions : theory, algorithms, and applications /』（Encyclopedia of mathematics and its applications ; 142）　Yves Crama, Peter L. Hammer.　Cambridge University Press,　2011. （所蔵館：中央　 請求記号：F/410.8/E56/E1-142　 資料コード：5020812496）
URL https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1348431383

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