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Boolean Functions : Theory, Algorithms, and Applications

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Title: Boolean Functions : Theory, Algorithms, and Applications
Description: Written 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.
Authors: Yves Crama, Peter L. Hammer
Resource Type: eBook.
Subjects: Algebraic functions, Algebra, Boolean
Categories: MATHEMATICS / Algebra / General
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 366147
RelevancyScore: 1038
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
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  Data: Boolean Functions : Theory, Algorithms, and Applications
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  Data: Written 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.
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  Data: <searchLink fieldCode="AR" term="%22Yves+Crama%22">Yves Crama</searchLink><br /><searchLink fieldCode="AR" term="%22Peter+L%2E+Hammer%22">Peter L. Hammer</searchLink>
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    Classifications:
      – Code: 511.324
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Algebraic functions
        Type: general
      – SubjectFull: Algebra, Boolean
        Type: general
    Titles:
      – TitleFull: Boolean Functions : Theory, Algorithms, and Applications
        Type: main
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          Name:
            NameFull: Yves Crama
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            NameFull: Peter L. Hammer
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            NameFull: Yves Crama
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            NameFull: Peter L. Hammer
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2011
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
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              Value: 9780521847513
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              Value: 9781139076845
          Numbering:
            – Type: volume
              Value: 00142
          Titles:
            – TitleFull: Boolean Functions : Theory, Algorithms, and Applications
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