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Analysis of Boolean Functions

2014-06-05 Computers
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Release : 2014-06-05
Genre : Computers
Kind : eBook
Book Rating : 324/5 ( reviews)

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Book Synopsis Analysis of Boolean Functions by : Ryan O'Donnell

Download or read book Analysis of Boolean Functions written by Ryan O'Donnell. This book was released on 2014-06-05. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics.

Cryptographic Boolean Functions and Applications

2017-03-31 Mathematics
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Release : 2017-03-31
Genre : Mathematics
Kind : eBook
Book Rating : 305/5 ( reviews)

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Book Synopsis Cryptographic Boolean Functions and Applications by : Thomas W. Cusick

Download or read book Cryptographic Boolean Functions and Applications written by Thomas W. Cusick. This book was released on 2017-03-31. Available in PDF, EPUB and Kindle. Book excerpt: Cryptographic Boolean Functions and Applications, Second Edition is designed to be a comprehensive reference for the use of Boolean functions in modern cryptography. While the vast majority of research on cryptographic Boolean functions has been achieved since the 1970s, when cryptography began to be widely used in everyday transactions, in particular banking, relevant material is scattered over hundreds of journal articles, conference proceedings, books, reports and notes, some of them only available online. This book follows the previous edition in sifting through this compendium and gathering the most significant information in one concise reference book. The work therefore encompasses over 600 citations, covering every aspect of the applications of cryptographic Boolean functions. Since 2008, the subject has seen a very large number of new results, and in response, the authors have prepared a new chapter on special functions. The new edition brings 100 completely new references and an expansion of 50 new pages, along with heavy revision throughout the text. Presents a foundational approach, beginning with the basics of the necessary theory, then progressing to more complex content Includes major concepts that are presented with complete proofs, with an emphasis on how they can be applied Includes an extensive list of references, including 100 new to this edition that were chosen to highlight relevant topics Contains a section on special functions and all-new numerical examples

Analysis of Boolean Functions

2014 Algebra, Boolean
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Release : 2014
Genre : Algebra, Boolean
Kind : eBook
Book Rating : 542/5 ( reviews)

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Book Synopsis Analysis of Boolean Functions by : Ryan O'Donnell

Download or read book Analysis of Boolean Functions written by Ryan O'Donnell. This book was released on 2014. Available in PDF, EPUB and Kindle. Book excerpt: Boolean functions are perhaps the most basic objects of study in theoretical computer science. They also arise in other areas of mathematics, including combinatorics, statistical physics, and mathematical social choice. The field of analysis of Boolean functions seeks to understand them via their Fourier transform and other analytic methods. This text gives a thorough overview of the field, beginning with the most basic definitions and proceeding to advanced topics such as hypercontractivity and isoperimetry. Each chapter includes a 'highlight application' such as Arrow's theorem from economics, the Goldreich-Levin algorithm from cryptography/learning theory, Håstad's NP-hardness of approximation results, and 'sharp threshold' theorems for random graph properties. The book includes roughly 450 exercises and can be used as the basis of a one-semester graduate course. It should appeal to advanced undergraduates, graduate students and researchers in computer science theory and related mathematical fields.

Boolean Functions

2011-05-16 Mathematics
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Release : 2011-05-16
Genre : Mathematics
Kind : eBook
Book Rating : 630/5 ( reviews)

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Book Synopsis Boolean Functions by : Yves Crama

Download or read book Boolean Functions written by Yves Crama. This book was released on 2011-05-16. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Noise Sensitivity of Boolean Functions and Percolation

2015 Computers
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Release : 2015
Genre : Computers
Kind : eBook
Book Rating : 439/5 ( reviews)

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Book Synopsis Noise Sensitivity of Boolean Functions and Percolation by : Christophe Garban

Download or read book Noise Sensitivity of Boolean Functions and Percolation written by Christophe Garban. This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to cover the theory of noise sensitivity of Boolean functions with particular emphasis on critical percolation.

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