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Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Godel'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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Book Details

ISBN: 9780521616041
ISBN-10: 0521616042
Format: Paperback
(247mm x 174mm x 10mm)
Pages: 192
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 2-Dec-2004
Country of Publication: United Kingdom

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