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P Uniform Circuit Complexity
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Book Synopsis Introduction to Circuit Complexity by : Heribert Vollmer
Download or read book Introduction to Circuit Complexity written by Heribert Vollmer and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis P-uniform Circuit Complexity by : Eric Waren Allender
Download or read book P-uniform Circuit Complexity written by Eric Waren Allender and published by . This book was released on 1986 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Complexity of Boolean Functions by : Ingo Wegener
Download or read book The Complexity of Boolean Functions written by Ingo Wegener and published by . This book was released on 1987 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Complexity by : Sanjeev Arora
Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Book Synopsis P, NP, and NP-Completeness by : Oded Goldreich
Download or read book P, NP, and NP-Completeness written by Oded Goldreich and published by Cambridge University Press. This book was released on 2010-08-16 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this book is the P versus NP Question and the theory of NP-completeness. It also provides adequate preliminaries regarding computational problems and computational models. The P versus NP Question asks whether or not finding solutions is harder than checking the correctness of solutions. An alternative formulation asks whether or not discovering proofs is harder than verifying their correctness. It is widely believed that the answer to these equivalent formulations is positive, and this is captured by saying that P is different from NP. Although the P versus NP Question remains unresolved, the theory of NP-completeness offers evidence for the intractability of specific problems in NP by showing that they are universal for the entire class. Amazingly enough, NP-complete problems exist, and furthermore hundreds of natural computational problems arising in many different areas of mathematics and science are NP-complete.
Book Synopsis Structural Complexity II by : Jose L. Balcazar
Download or read book Structural Complexity II written by Jose L. Balcazar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of a two volume collection on Structural Complexity. This volume assumes as a prerequisite knowledge about the topics treated in Volume I, but the present volume itself is nearly self-contained. As in Volume I, each chapter of this book ends with a section entitled "Bibliographical Remarks", in which the relevant references for the chapter are briefly commented upon. These sections might also be of interest to those wanting an overview of the evolution of the field, as well as relevant related results which are not included in the text. Each chapter includes a section of exercises. The reader is encouraged to spend some time on them. Some results presented as exercises are occasionally used later in the text. A reference is provided for the most interesting and for the most useful exercises. Some exercises are marked with a • to indicate that, to the best knowledge of the authors, the solution has a certain degree of difficulty. Many topics from the field of Structural Complexity are not treated in depth, or not treated at all. The authors bear all responsibility for the choice of topics, which has been made based on the interest of the authors on each topic. Many friends and colleagues have made suggestions or corrections. In partic ular we would like to express our gratitude to Richard Beigel, Ron Book, Rafael Casas, Jozef Gruska, Uwe Schoning, Pekka Orponen, and Osamu Watanabe.
Book Synopsis Circuit Complexity and Neural Networks by : Ian Parberry
Download or read book Circuit Complexity and Neural Networks written by Ian Parberry and published by MIT Press. This book was released on 1994 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neural networks usually work adequately on small problems but can run into trouble when they are scaled up to problems involving large amounts of input data. Circuit Complexity and Neural Networks addresses the important question of how well neural networks scale - that is, how fast the computation time and number of neurons grow as the problem size increases. It surveys recent research in circuit complexity (a robust branch of theoretical computer science) and applies this work to a theoretical understanding of the problem of scalability. Most research in neural networks focuses on learning, yet it is important to understand the physical limitations of the network before the resources needed to solve a certain problem can be calculated. One of the aims of this book is to compare the complexity of neural networks and the complexity of conventional computers, looking at the computational ability and resources (neurons and time) that are a necessary part of the foundations of neural network learning. Circuit Complexity and Neural Networks contains a significant amount of background material on conventional complexity theory that will enable neural network scientists to learn about how complexity theory applies to their discipline, and allow complexity theorists to see how their discipline applies to neural networks.
Book Synopsis Kolmogorov Complexity and Computational Complexity by : Osamu Watanabe
Download or read book Kolmogorov Complexity and Computational Complexity written by Osamu Watanabe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical theory of computation has given rise to two important ap proaches to the informal notion of "complexity": Kolmogorov complexity, usu ally a complexity measure for a single object such as a string, a sequence etc., measures the amount of information necessary to describe the object. Compu tational complexity, usually a complexity measure for a set of objects, measures the compuational resources necessary to recognize or produce elements of the set. The relation between these two complexity measures has been considered for more than two decades, and may interesting and deep observations have been obtained. In March 1990, the Symposium on Theory and Application of Minimal Length Encoding was held at Stanford University as a part of the AAAI 1990 Spring Symposium Series. Some sessions of the symposium were dedicated to Kolmogorov complexity and its relations to the computational complexity the ory, and excellent expository talks were given there. Feeling that, due to the importance of the material, some way should be found to share these talks with researchers in the computer science community, I asked the speakers of those sessions to write survey papers based on their talks in the symposium. In response, five speakers from the sessions contributed the papers which appear in this book.
Book Synopsis Structure in Complexity Theory by : Alan L. Selman
Download or read book Structure in Complexity Theory written by Alan L. Selman and published by Springer Science & Business Media. This book was released on 1986-05 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Lane A. Hemaspaandra Publisher :Springer Science & Business Media ISBN 13 :9780387949734 Total Pages :360 pages Book Rating :4.9/5 (497 download)
Book Synopsis Complexity Theory by : Lane A. Hemaspaandra
Download or read book Complexity Theory written by Lane A. Hemaspaandra and published by Springer Science & Business Media. This book was released on 1997-06-05 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a survey of the subject in the form of a collection of articles written by experts, that together provides a comprehensive guide to research. The editors'aim has been to provide an accessible description of the current stae of complexity theory, and to demonstrate the breadth of techniques and results that make this subject so exciting. Thus, papers run the gamut from sublogarithmic space to exponential time, and from new combinatorial techniques to interactive proof systems.
Book Synopsis Boolean Function Complexity by : Stasys Jukna
Download or read book Boolean Function Complexity written by Stasys Jukna and published by Springer Science & Business Media. This book was released on 2012-01-06 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Foundational and Practical Aspects of Resource Analysis by : Marko van Eekelen
Download or read book Foundational and Practical Aspects of Resource Analysis written by Marko van Eekelen and published by Springer. This book was released on 2010-09-08 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Workshop on Foundational and Practical Aspects of Resource Analysis, FOPARA 2009, held at the 16th International Symposium on Formal Methods, FM 2009, in Eindhoven, The Netherlands, in November 2009. The 10 revised full papers were carefully reviewed and selected from 13 research presentation contributions and one invited lecture.
Book Synopsis Developments in Theoretical Computer Science by : J. Dassow
Download or read book Developments in Theoretical Computer Science written by J. Dassow and published by CRC Press. This book was released on 1994-10-07 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computability In Context: Computation And Logic In The Real World by : S Barry Cooper
Download or read book Computability In Context: Computation And Logic In The Real World written by S Barry Cooper and published by World Scientific. This book was released on 2011-02-25 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability has played a crucial role in mathematics and computer science, leading to the discovery, understanding and classification of decidable/undecidable problems, paving the way for the modern computer era, and affecting deeply our view of the world. Recent new paradigms of computation, based on biological and physical models, address in a radically new way questions of efficiency and challenge assumptions about the so-called Turing barrier.This volume addresses various aspects of the ways computability and theoretical computer science enable scientists and philosophers to deal with mathematical and real-world issues, covering problems related to logic, mathematics, physical processes, real computation and learning theory. At the same time it will focus on different ways in which computability emerges from the real world, and how this affects our way of thinking about everyday computational issues./a
Book Synopsis Descriptive Complexity by : Neil Immerman
Download or read book Descriptive Complexity written by Neil Immerman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: By virtue of the close relationship between logic and relational databases, it turns out that complexity has important applications to databases such as analyzing the parallel time needed to compute a query, and the analysis of nondeterministic classes. This book is a relatively self-contained introduction to the subject, which includes the necessary background material, as well as numerous examples and exercises.
Book Synopsis Computer Science Handbook by : Allen B. Tucker
Download or read book Computer Science Handbook written by Allen B. Tucker and published by CRC Press. This book was released on 2004-06-28 with total page 2742 pages. Available in PDF, EPUB and Kindle. Book excerpt: When you think about how far and fast computer science has progressed in recent years, it's not hard to conclude that a seven-year old handbook may fall a little short of the kind of reference today's computer scientists, software engineers, and IT professionals need. With a broadened scope, more emphasis on applied computing, and more than 70 chap
Book Synopsis The Complexity Theory Companion by : Lane Hemaspaandra
Download or read book The Complexity Theory Companion written by Lane Hemaspaandra and published by Springer Science & Business Media. This book was released on 2001-12-01 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is an accessible, algorithmically oriented guide to some of the most interesting techniques of complexity theory. The book shows that simple algorithms are at the heart of complexity theory. The book is organized by technique rather than by topic. Each chapter focuses on one technique: what it is, and what results and applications it yields.
