Boolean functions: theory, algorithms, and applications, Vol. 142
Series: Encyclopedia of mathematics and its applicationsPublication details: Cambridge University Press, 2011. New York:Description: xxi; 687 p. hb; 24 cmISBN:- 9780521847513
- 511.324 CRA
Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode |
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IIT Gandhinagar | General | 511.324 CRA (Browse shelf(Opens below)) | 1 | Available | 029026 |
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511.32 PLO Hausdorff on ordered sets | 511.322 BAB Write your own proofs: in set theory and discrete mathematics | 511.322 STO Set theory and logic | 511.324 CRA Boolean functions: theory, algorithms, and applications, Vol. 142 | 511.324 CRA Boolean models and methods in mathematics, computer science, and engineering, Vol. 134 | 511.324 HAL Lectures on Boolean algebras | 511.33 BOR Lattice sums then and now, Vol. 150 |
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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