ENGLISH

Kolmogorov Complexity and Computational Complexity

By Osamu Watanabe

Book information

Publisher
Springer
Year
1992
ISBN
0387558403, 9780387558400, 3540558403
LCC
QA267.7 .K65 1992
Language
english
Format
DJVU
Filesize
3 MB (3011321 bytes)
Series
Monographs in Theoretical Computer Science. An EATCS Series
Pages
118\118
Library
mexmat
Orientation
portrait
Paginated
no
Scanned
yes
Time added
2009-07-20 03:45:11

Description

There are many ways to measure the complexity of a given object, but there are two measures of particular importance in the theory of computing: One is Kolmogorov complexity, which measures the amount of information necessary to describe an object. Another is computational complexity, which measures the computational resources necessary to recognize (or produce) an object. The relation between these two complexity measures has been studied since the 1960s. More recently, the generalized notion of resource-bounded Kolmogorov complexity and its relation to computational complexity has received much attention. Now many interesting and deep observations on this topic have been established. This book consists of four survey papers concerning these recent studies on resource-bounded Kolmogorov complexity and computational complexity. It also contains one paper surveying several types of Kolmogorov complexity measures. The papers are based on invited talks given at the AAAI Spring Symposium on Minimal-Length Encoding in 1990. The book is the only collection of survey papers on this subject and provides fundamental information for researchers in the field.

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