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  1. Home
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  3. Boolean Functions
  • Cited by 193
Publisher:
Cambridge University Press
Online publication date:
June 2011
Print publication year:
2011
Online ISBN:
9780511852008
DOI:
https://doi.org/10.1017/CBO9780511852008
Subjects:
Mathematics (general), Optimization, OR and risk, Statistics and Probability
Series:
Encyclopedia of Mathematics and its Applications
Information

Book 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.

Reviews

‘Because of the unique depth and breadth of the unified treatment that it provides and its emphasis on algorithms and applications, this monograph and its companion book [Boolean Models and Methods in Mathematics, Computer Science and Engineering] will have special appeal for a large circle of readers.’

Sergiu Rudeanu Source: Zentralblatt MATH

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