عنوان

Boolean functions: theory, algorithms, and applications

Title Proper

Boolean functions: theory, algorithms, and applications

Place of Publication, Distribution, etc.

Cambridge; New York

Name of Publisher, Distributor, etc.

Cambridge University Press

Date of Publication, Distribution, etc.

c2011

Specific Material Designation and Extent of Item

xxi, 687 p. : ill

Other Title Information

Encyclopedia of mathematics and its applications

Other Title Information

142

Text of Note

"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

Text of Note

Includes bibliographical references and index

Text of Note

Yves Crama, Peter L. Hammer

Text of Note

Fundamental 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

Entry Element

، Algebraic functions

Entry Element

، Algebra, Boolean

Class number

Dates

8591-

Entry Element

Crama, Yves

Relator Code

AU

AU Hammer, P. L 1936-2006

TI