Kolmogorov Complexity and Computational Complexity

  • Osamu Watanabe

Part of the EATCS Monographs on Theoretical Computer Science book series (EATCS)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Osamu Watanabe
    Pages 1-3
  3. Ronald V. Book
    Pages 23-42
  4. Back Matter
    Pages 103-106

About this book

Introduction

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.

Keywords

Kolmogorov Kolmogorov complexity Komplexitätstheorie Struktur algorithms complexity complexity theory computational complexity entropy information randomness recource bounded Kolmogorov complexity structural complexity strukturelle Komplexität theory of complexity

Editors and affiliations

  • Osamu Watanabe
    • 1
  1. 1.Department of Computer ScienceTokyo Institute of TechnologyMeguro-ku, Ookayama, Tokyo 152Japan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-77735-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-77737-0
  • Online ISBN 978-3-642-77735-6
  • Series Print ISSN 1431-2654
  • About this book