Paperback. Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Goedel'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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Bibliographic Details

Title: Algorithmic Information Theory (Paperback)
Publisher: Cambridge University Press, Cambridge
Publication Date: 2004
Language: English
ISBN 10: 0521616042
ISBN 13: 9780521616041
Binding: Paperback
Condition: new

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Synopsis

Expounds G�del's incompleteness theorey using an information theoretic approach based on the size of computer programs.

Review

"If you're interested in computability theory and computational complexity, Algorithmic Information Theory belongs on your bookshelf." AI Expert

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