An Introduction To Circuit Complexity And A Guide To Haastads Proof
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Author | : Allan Heydon |
Publisher | : |
Total Pages | : 55 |
Release | : 1990 |
Genre | : |
ISBN | : |
Download An Introduction to Circuit Complexity and a Guide to Haastad's Proof Book in PDF, Epub and Kindle
Author | : Allan Heydon |
Publisher | : |
Total Pages | : 55 |
Release | : 1990 |
Genre | : Electric circuit analysis |
ISBN | : |
Download An Introduction to Circuit Complexity and a Guide to Håstad's Proof Book in PDF, Epub and Kindle
These ideas are the b̀uilding blocks' of the proof itself. A brief history of related result is given. Then, an intuitive description of the proof and a r̀oad map' of its structure (which has several levels and branches) are presented to provide an overall gist of what is going on behind the formal mathematics which follow. The heart of the proof is the so-called S̀witching Lemma', which is given considerable attention. The main result and a corollary are then stated and proven."
Author | : Eyal Kushilevitz |
Publisher | : Cambridge University Press |
Total Pages | : 209 |
Release | : 2006-11-02 |
Genre | : Computers |
ISBN | : 052102983X |
Download Communication Complexity Book in PDF, Epub and Kindle
Surveys the mathematical theory and applications such as computer networks, VLSI circuits, and data structures.
Author | : Ryan O'Donnell |
Publisher | : Cambridge University Press |
Total Pages | : 445 |
Release | : 2014-06-05 |
Genre | : Computers |
ISBN | : 1107038324 |
Download Analysis of Boolean Functions Book in PDF, Epub and Kindle
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 | : Satyanarayana V. Lokam |
Publisher | : Now Publishers Inc |
Total Pages | : 177 |
Release | : 2009-07-20 |
Genre | : Computers |
ISBN | : 1601982429 |
Download Complexity Lower Bounds Using Linear Algebra Book in PDF, Epub and Kindle
We survey several techniques for proving lower bounds in Boolean, algebraic, and communication complexity based on certain linear algebraic approaches. The common theme among these approaches is to study robustness measures of matrix rank that capture the complexity in a given model. Suitably strong lower bounds on such robustness functions of explicit matrices lead to important consequences in the corresponding circuit or communication models. Many of the linear algebraic problems arising from these approaches are independently interesting mathematical challenges.
Author | : Allon Percus |
Publisher | : Oxford University Press, USA |
Total Pages | : 394 |
Release | : 2006 |
Genre | : Computers |
ISBN | : 9780195177374 |
Download Computational Complexity and Statistical Physics Book in PDF, Epub and Kindle
Computer science and physics have been closely linked since the birth of modern computing. In recent years, an interdisciplinary area has blossomed at the junction of these fields, connecting insights from statistical physics with basic computational challenges. Researchers have successfully applied techniques from the study of phase transitions to analyze NP-complete problems such as satisfiability and graph coloring. This is leading to a new understanding of the structure of these problems, and of how algorithms perform on them. Computational Complexity and Statistical Physics will serve as a standard reference and pedagogical aid to statistical physics methods in computer science, with a particular focus on phase transitions in combinatorial problems. Addressed to a broad range of readers, the book includes substantial background material along with current research by leading computer scientists, mathematicians, and physicists. It will prepare students and researchers from all of these fields to contribute to this exciting area.
Author | : Troy Lee |
Publisher | : Now Publishers Inc |
Total Pages | : 152 |
Release | : 2009 |
Genre | : Computers |
ISBN | : 1601982585 |
Download Lower Bounds in Communication Complexity Book in PDF, Epub and Kindle
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.
Author | : Venkatesan Guruswami |
Publisher | : Now Publishers Inc |
Total Pages | : 110 |
Release | : 2007-01-24 |
Genre | : Computers |
ISBN | : 1601980043 |
Download Algorithmic Results in List Decoding Book in PDF, Epub and Kindle
Algorithmic Results in List Decoding introduces and motivates the problem of list decoding, and discusses the central algorithmic results of the subject, culminating with the recent results on achieving "list decoding capacity." The main technical focus is on giving a complete presentation of the recent algebraic results achieving list decoding capacity, while pointers or brief descriptions are provided for other works on list decoding. Algorithmic Results in List Decoding is intended for scholars and graduate students in the fields of theoretical computer science and information theory. The author concludes by posing some interesting open questions and suggests directions for future work.
Author | : Terence Tao |
Publisher | : Cambridge University Press |
Total Pages | : 18 |
Release | : 2006-09-14 |
Genre | : Mathematics |
ISBN | : 1139458345 |
Download Additive Combinatorics Book in PDF, Epub and Kindle
Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as Szemerédi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.
Author | : Theodore J. Rivlin |
Publisher | : Courier Corporation |
Total Pages | : 164 |
Release | : 1981-01-01 |
Genre | : Mathematics |
ISBN | : 9780486640693 |
Download An Introduction to the Approximation of Functions Book in PDF, Epub and Kindle
Mathematics of Computing -- Numerical Analysis.