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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aBoolean functions $etheory, algorithms, and applications /$fYves Crama, Peter L. Hammer$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2011.
215   $a1 online resource (xxi, 687 pages) $cdigital, PDF file(s)
225 1 $aEncyclopedia of mathematics and its applications
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-521-84751-6 
320   $aIncludes bibliographical references and index.
327   $aFundamental 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.
330   $aWritten by prominent experts in the field, this monograph provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions. The book focuses on algebraic representations of Boolean functions, especially disjunctive and conjunctive normal form representations. This framework looks at the fundamental elements of the theory (Boolean equations and satisfiability problems, prime implicants and associated short representations, dualization), an in-depth study of special classes of Boolean functions (quadratic, Horn, shellable, regular, threshold, read-once functions and their characterization by functional equations) and two fruitful generalizations of the concept of Boolean functions (partially defined functions and pseudo-Boolean functions). Several topics are presented here in book form for the first time. Because of the depth and breadth and its emphasis on algorithms and applications, this monograph will have special appeal for researchers and graduate students in discrete mathematics, operations research, computer science, engineering and economics.
410  0$aEncyclopedia of mathematics and its applications.
606   $aAlgebraic functions
606   $aAlgebra, Boolean
615  0$aAlgebraic functions.
615  0$aAlgebra, Boolean.
676   $a511.3/24
700   $aCrama$b Yves$f1958-$0785846
702   $aHammer$b P. L.$f1936-2006,
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910464730203321
996   $aBoolean functions$91903328
997   $aUNINA