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Algorithmic Information Theory

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Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Gödel'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.

Author(s): G. J. Chaitin
Series: Cambridge Tracts in Theoretical Computer Science 1
Publisher: Cambridge University Press
Year: 1987

Language: English
Commentary: no cover
Pages: 192