Studies in Complexity and Cryptography

Studies in Complexity and Cryptography PDF Author: Oded Goldreich
Publisher: Springer
ISBN: 3642226701
Category : Computers
Languages : en
Pages : 573

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Book Description
This book presents a collection of 36 pieces of scientific work in the areas of complexity theory and foundations of cryptography: 20 research contributions, 13 survey articles, and 3 programmatic and reflective viewpoint statements. These so far formally unpublished pieces were written by Oded Goldreich, some in collaboration with other scientists. The articles included in this book essentially reflect the topical scope of the scientific career of Oded Goldreich now spanning three decades. In particular the topics dealt with include average-case complexity, complexity of approximation, derandomization, expander graphs, hashing functions, locally testable codes, machines that take advice, NP-completeness, one-way functions, probabilistically checkable proofs, proofs of knowledge, property testing, pseudorandomness, randomness extractors, sampling, trapdoor permutations, zero-knowledge, and non-iterative zero-knowledge. All in all, this potpourri of studies in complexity and cryptography constitutes a most valuable contribution to the field of theoretical computer science centered around the personal achievements and views of one of its outstanding representatives.

Studies in Complexity and Cryptography

Studies in Complexity and Cryptography PDF Author: Oded Goldreich
Publisher: Springer
ISBN: 3642226701
Category : Computers
Languages : en
Pages : 573

Get Book Here

Book Description
This book presents a collection of 36 pieces of scientific work in the areas of complexity theory and foundations of cryptography: 20 research contributions, 13 survey articles, and 3 programmatic and reflective viewpoint statements. These so far formally unpublished pieces were written by Oded Goldreich, some in collaboration with other scientists. The articles included in this book essentially reflect the topical scope of the scientific career of Oded Goldreich now spanning three decades. In particular the topics dealt with include average-case complexity, complexity of approximation, derandomization, expander graphs, hashing functions, locally testable codes, machines that take advice, NP-completeness, one-way functions, probabilistically checkable proofs, proofs of knowledge, property testing, pseudorandomness, randomness extractors, sampling, trapdoor permutations, zero-knowledge, and non-iterative zero-knowledge. All in all, this potpourri of studies in complexity and cryptography constitutes a most valuable contribution to the field of theoretical computer science centered around the personal achievements and views of one of its outstanding representatives.

Lower Bounds in Communication Complexity

Lower Bounds in Communication Complexity PDF Author: Troy Lee
Publisher: Now Publishers Inc
ISBN: 1601982585
Category : Computers
Languages : en
Pages : 152

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Book Description
The communication complexity of a function f(x, y) measures the number of bits that two players, one who knows x and the other who knows y, must exchange to determine the value f(x, y). Communication complexity is a fundamental measure of complexity of functions. Lower bounds on this measure lead to lower bounds on many other measures of computational complexity. This monograph surveys lower bounds in the field of communication complexity. Our focus is on lower bounds that work by first representing the communication complexity measure in Euclidean space. That is to say, the first step in these lower bound techniques is to find a geometric complexity measure, such as rank or trace norm, that serves as a lower bound to the underlying communication complexity measure. Lower bounds on this geometric complexity measure are then found using algebraic and geometric tools.

Theory and Applications of Models of Computation

Theory and Applications of Models of Computation PDF Author: Rahul Jain
Publisher: Springer
ISBN: 3319171429
Category : Mathematics
Languages : en
Pages : 466

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Book Description
This book constitutes the refereed proceedings of the 12th Annual Conference on Theory and Applications of Models of Computation, TAMC 2014, held in Singapore, in May 2015. The 35 revised full papers presented were carefully reviewed and selected from 78 submissions. The papers treat all topics relating to the theory and applications of models computation, for example recursion theory and mathematical logic; computational complexity and Boolean functions; graphy theory; quantum computing; parallelism and statistics; learning, automata and probabilistic models; parameterised complexity.

Introduction to Property Testing

Introduction to Property Testing PDF Author: Oded Goldreich
Publisher: Cambridge University Press
ISBN: 1107194059
Category : Computers
Languages : en
Pages : 473

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Book Description
An extensive and authoritative introduction to property testing, the study of super-fast algorithms for the structural analysis of large quantities of data in order to determine global properties. This book can be used both as a reference book and a textbook, and includes numerous exercises.

Communication Complexity

Communication Complexity PDF Author: Eyal Kushilevitz
Publisher: Cambridge University Press
ISBN: 052102983X
Category : Computers
Languages : en
Pages : 209

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Book Description
Surveys the mathematical theory and applications such as computer networks, VLSI circuits, and data structures.

Fourth Czechoslovakian Symposium on Combinatorics, Graphs and Complexity

Fourth Czechoslovakian Symposium on Combinatorics, Graphs and Complexity PDF Author: J. Nešetril
Publisher: Elsevier
ISBN: 008086791X
Category : Computers
Languages : en
Pages : 411

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Book Description
This volume in the Annals of Discrete Mathematics brings together contributions by renowned researchers in combinatorics, graphs and complexity. The conference on which this book is based was the fourth in a series which began in 1963, which was the first time specialists from East and West were able to come together. The 1990 meeting attracted 170 mathematicians and computer scientists from around the world, so this book represents an international, detailed view of recent research.

Computational Complexity

Computational Complexity PDF Author: Sanjeev Arora
Publisher: Cambridge University Press
ISBN: 0521424267
Category : Computers
Languages : en
Pages : 609

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

Property Testing

Property Testing PDF Author: Oded Goldreich
Publisher: Springer
ISBN: 364216367X
Category : Computers
Languages : en
Pages : 370

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Book Description
Property Testing is the study of super-fast (randomized) algorithms for approximate decision making. These algorithms are given direct access to items of a huge data set, and determine, whether this data set has some predetermined (global) property or is far from having this property. Remarkably, this approximate decision is made by accessing a small portion of the data set. This state-of-the-art survey presents a collection of extended abstracts and surveys of leading researchers in property testing and related areas; it reflects the program of a mini-workshop on property testing that took place in January 2010 at the Institute for Computer Science (ITCS), Tsinghua University, Beijing, China. The volume contains two editor's introductions, 10 survey papers and 18 extended abstracts.

Fundamental Problems in Computing

Fundamental Problems in Computing PDF Author: Sekharipuram S. Ravi
Publisher: Springer Science & Business Media
ISBN: 1402096887
Category : Computers
Languages : en
Pages : 512

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Book Description
Not applicable for bookstore catalogue

Proceedings

Proceedings PDF Author:
Publisher:
ISBN:
Category : Computational complexity
Languages : en
Pages : 412

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Book Description