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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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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Add this copy of Algorithmic Information Theory (Cambridge Tracts in to cart. $30.86, very good condition, Sold by Greener Books rated 4.0 out of 5 stars, ships from London, UNITED KINGDOM, published 1987 by Cambridge University Press.
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Very Good- 0521343062. Light wear and rubbing to the spine edges and corners.; Cambridge Tracts In Theoretical Computer Science, Series Number 1; 7.25 X 0.75 X 10 inches; 192 pages.
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