Kolmogorov Complexity and Computational Complexity

Osamu Watanabe

ISBN 10: 3642777376 / ISBN 13: 9783642777370

Published by Springer Berlin Heidelberg, 2011

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783642777370

Bibliographic Details

• Title: Kolmogorov Complexity and Computational Complexity
• Publisher: Springer Berlin Heidelberg
• Publication Date: 2011
• Language: English
• ISBN 10: 3642777376
• ISBN 13: 9783642777370
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 7D millimeters 235 millimeters width by 155 millimeters height by 7 millimeters depth
• Weight: 195 grams

About this title

Synopsis

This book contains five survey papers on recent research on Kolmogorov complexity (in particular resource bounded Kolmogorov complexity) and its relation to structural and computational complexity.