Title: Algorithmic Information Theory (Cambridge Tracts in Theoretical Computer Science, Series Number 1)
Publisher: Cambridge University Press
Publication Date: 2004
Language: English
ISBN 10: 0521616042
ISBN 13: 9780521616041
Binding: Soft cover
Condition: New

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Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of G�del's incompleteness theorem, using an information theoretic approach based on the size of computer programs. One half of the book is concerned with studying the halting probability of a universal computer if its program is chosen by tossing a coin. The other half is concerned with encoding the halting probability as an algebraic equation in integers, a so-called exponential diophantine equation.

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