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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Paperback. Etat : new. 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 Goedel's incompleteness theorem, using an information theoretic approach based on the size of computer programs. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521616041
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Etat : New. Expounds Godel's incompleteness theorey using an information theoretic approach based on the size of computer programs. Series Editor(s): Van Rijsbergen, C. J.; Abramsky, S.; Aczel, P. H.; Bakker, J. W. de; Gurevich, Y.; Tucker, J. V. Series: Cambridge Tracts in Theoretical Computer Science. Num Pages: 192 pages, black & white illustrations. BIC Classification: PBCD; UYA. Category: (P) Professional & Vocational. Dimension: 189 x 247 x 11. Weight in Grams: 364. . 2008. paperback. . . . . N° de réf. du vendeur V9780521616041
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