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  • Cited by 348
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      October 1987
      ISBN:
      9780511608858
      9780521616041
      Dimensions:
      Weight & Pages:
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.345kg, 192 Pages
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    Book description

    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.

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