Boolean Function Complexity

Author : Stasys Jukna
Publisher : Springer Science & Business Media
Page : 618 pages
File Size : 46,5 Mb
Release : 2012-01-06
Category : Mathematics
ISBN : 9783642245084

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Boolean Function Complexity by Stasys Jukna Pdf

Boolean circuit complexity is the combinatorics of computer science and involves many intriguing problems that are easy to state and explain, even for the layman. This book is a comprehensive description of basic lower bound arguments, covering many of the gems of this “complexity Waterloo” that have been discovered over the past several decades, right up to results from the last year or two. Many open problems, marked as Research Problems, are mentioned along the way. The problems are mainly of combinatorial flavor but their solutions could have great consequences in circuit complexity and computer science. The book will be of interest to graduate students and researchers in the fields of computer science and discrete mathematics.

Author : Ingo Wegener
Publisher : Unknown
Page : 502 pages
File Size : 53,9 Mb
Release : 1987
Category : Algebra, Boolean
ISBN : STANFORD:36105032371630

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The Complexity of Boolean Functions by Ingo Wegener Pdf

Author : Michael S. Paterson
Publisher : Cambridge University Press
Page : 216 pages
File Size : 43,8 Mb
Release : 1992-11-05
Category : Computers
ISBN : 9780521408264

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Boolean Function Complexity by Michael S. Paterson Pdf

Here Professor Paterson brings together papers from the 1990 Durham symposium on Boolean function complexity. The participants include many well known figures in the field.

Author : Ryan O'Donnell
Publisher : Cambridge University Press
Page : 445 pages
File Size : 44,5 Mb
Release : 2014-06-05
Category : Computers
ISBN : 9781107038325

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Analysis of Boolean Functions by Ryan O'Donnell Pdf

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.

Author : Peter Clote,Evangelos Kranakis
Publisher : Springer Science & Business Media
Page : 612 pages
File Size : 44,9 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9783662049433

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Boolean Functions and Computation Models by Peter Clote,Evangelos Kranakis Pdf

The two internationally renowned authors elucidate the structure of "fast" parallel computation. Its complexity is emphasised through a variety of techniques ranging from finite combinatorics, probability theory and finite group theory to finite model theory and proof theory. Non-uniform computation models are studied in the form of Boolean circuits; uniform ones in a variety of forms. Steps in the investigation of non-deterministic polynomial time are surveyed as is the complexity of various proof systems. Providing a survey of research in the field, the book will benefit advanced undergraduates and graduate students as well as researchers.

Author : Heribert Vollmer
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 49,6 Mb
Release : 2013-04-17
Category : Computers
ISBN : 9783662039274

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Introduction to Circuit Complexity by Heribert Vollmer Pdf

An advanced textbook giving a broad, modern view of the computational complexity theory of boolean circuits, with extensive references, for theoretical computer scientists and mathematicians.

Author : Stasys Jukna,Igor Sergeev
Publisher : Foundations and Trends(r) in T
Page : 138 pages
File Size : 55,6 Mb
Release : 2013-10
Category : Computers
ISBN : 1601987269

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Complexity of Linear Boolean Operators by Stasys Jukna,Igor Sergeev Pdf

Complexity of Linear Boolean Operators is the first thorough survey of the research in this area. The book is intended for students and researchers in discrete mathematics and theoretical computer science.

Author : Yves Crama,Peter L. Hammer
Publisher : Cambridge University Press
Page : 711 pages
File Size : 43,7 Mb
Release : 2011-05-16
Category : Mathematics
ISBN : 9781139498630

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Boolean Functions by Yves Crama,Peter L. Hammer Pdf

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.

Author : Nadia Creignou,Sanjeev Khanna,Madhu Sudan
Publisher : SIAM
Page : 112 pages
File Size : 51,7 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 9780898714791

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Complexity Classifications of Boolean Constraint Satisfaction Problems by Nadia Creignou,Sanjeev Khanna,Madhu Sudan Pdf

Presents a novel form of a compendium that classifies an infinite number of problems by using a rule-based approach.

Author : Sanjeev Arora,Boaz Barak
Publisher : Cambridge University Press
Page : 609 pages
File Size : 45,5 Mb
Release : 2009-04-20
Category : Computers
ISBN : 9780521424264

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Computational Complexity by Sanjeev Arora,Boaz Barak Pdf

New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Author : David Mix Barrington,Rüdiger Reischuk,Ingo Wegener
Publisher : Unknown
Page : 24 pages
File Size : 53,8 Mb
Release : 2000
Category : Electronic
ISBN : OCLC:897810118

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Complexity of Boolean Functions by David Mix Barrington,Rüdiger Reischuk,Ingo Wegener Pdf

Author : Thomas W. Cusick,Pantelimon Stanica
Publisher : Academic Press
Page : 288 pages
File Size : 48,9 Mb
Release : 2017-03-31
Category : Mathematics
ISBN : 9780128111307

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Cryptographic Boolean Functions and Applications by Thomas W. Cusick,Pantelimon Stanica Pdf

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

Author : Claude Carlet
Publisher : Cambridge University Press
Page : 577 pages
File Size : 40,5 Mb
Release : 2021-01-07
Category : Computers
ISBN : 9781108473804

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Boolean Functions for Cryptography and Coding Theory by Claude Carlet Pdf

A complete, accessible book on single and multiple output Boolean functions in cryptography and coding, with recent applications and problems.

Author : Peter Clote,Jeffrey B. Remmel
Publisher : Springer Science & Business Media
Page : 456 pages
File Size : 47,6 Mb
Release : 2013-03-13
Category : Computers
ISBN : 9781461225669

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Feasible Mathematics II by Peter Clote,Jeffrey B. Remmel Pdf

Perspicuity is part of proof. If the process by means of which I get a result were not surveyable, I might indeed make a note that this number is what comes out - but what fact is this supposed to confirm for me? I don't know 'what is supposed to come out' . . . . 1 -L. Wittgenstein A feasible computation uses small resources on an abstract computa tion device, such as a 'lUring machine or boolean circuit. Feasible math ematics concerns the study of feasible computations, using combinatorics and logic, as well as the study of feasibly presented mathematical structures such as groups, algebras, and so on. This volume contains contributions to feasible mathematics in three areas: computational complexity theory, proof theory and algebra, with substantial overlap between different fields. In computational complexity theory, the polynomial time hierarchy is characterized without the introduction of runtime bounds by the closure of certain initial functions under safe composition, predicative recursion on notation, and unbounded minimization (S. Bellantoni); an alternative way of looking at NP problems is introduced which focuses on which pa rameters of the problem are the cause of its computational complexity and completeness, density and separation/collapse results are given for a struc ture theory for parametrized problems (R. Downey and M. Fellows); new characterizations of PTIME and LINEAR SPACE are given using predicative recurrence over all finite tiers of certain stratified free algebras (D.

Author : Chuan-Kun Wu,Dengguo Feng
Publisher : Springer
Page : 256 pages
File Size : 40,6 Mb
Release : 2016-02-23
Category : Computers
ISBN : 9783662488652

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Boolean Functions and Their Applications in Cryptography by Chuan-Kun Wu,Dengguo Feng Pdf

This book focuses on the different representations and cryptographic properties of Booleans functions, presents constructions of Boolean functions with some good cryptographic properties. More specifically, Walsh spectrum description of the traditional cryptographic properties of Boolean functions, including linear structure, propagation criterion, nonlinearity, and correlation immunity are presented. Constructions of symmetric Boolean functions and of Boolean permutations with good cryptographic properties are specifically studied. This book is not meant to be comprehensive, but with its own focus on some original research of the authors in the past. To be self content, some basic concepts and properties are introduced. This book can serve as a reference for cryptographic algorithm designers, particularly the designers of stream ciphers and of block ciphers, and for academics with interest in the cryptographic properties of Boolean functions.