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Kolmogorov Complexity and Computational Complexity (Paperback, Softcover reprint of the original 1st ed. 1992)
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Kolmogorov Complexity and Computational Complexity (Paperback, Softcover reprint of the original 1st ed. 1992)
Series: Monographs in Theoretical Computer Science. An EATCS Series
Expected to ship within 10 - 15 working days
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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."
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