Boolean functions : theory, algorithms, and applications / Yves Crama, Peter L. Hammer.

• Material Type: 図書
• ISBN: 9780521847513 (hardback)
• Title: Boolean functions : theory, algorithms, and applications / Yves Crama, Peter L. Hammer.
• Series Title: Encyclopedia of mathematics and its applications ; 142
• Title Heading: Encyclopedia of mathematics and its applications ; v. 142.
• Author Heading: Crama, Yves, 1958-; Hammer, P. L., 1936-2006.
• Publication, Distribution, etc.: Cambridge : Cambridge University Press; New York : Cambridge University Press
• Publication Date: 2011.
• Publication Date (W3CDTF): 2011
• Extent: xxi, 687 p. : ill. ; 24 cm.
• Place of Publication (Country Code): GB
• Text Language Code: eng
• Subject Heading: Algebraic functions.; Algebra, Boolean.; MATHEMATICS / Linear Programming.
• LCC: QA341
• DDC: 511.3/24
• NDLC: MA115
• Note (General): "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.; Related URL: Cover image http: //assets.cambridge.org/97805218/47513/cover/9780521847513.jpg.
• Note (Bibliography): Includes bibliographical references and index.
• Holding library: 国立国会図書館
• Call No.: MA115-B21
• Data Provider (Database): 国立国会図書館 : 国立国会図書館蔵書; https://ndlsearch.ndl.go.jp
• Bibliographic ID (NDL): 000011255020; http://id.ndl.go.jp/bib/000011255020
• LC Control Number: 2011009690; https://lccn.loc.gov/2011009690
• OCLC No.: 711777210; https://www.worldcat.org/oclc/711777210
• Cataloging Rule: Anglo-American Cataloging Rules
• Bibliographic Record Category (NDL): 211

• Contents: Fundamental concepts and applicationsBoolean equationsPrime implicants and minimal DNFs / Peter L. Hammer and Alexander Kogan...