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Viser: The Undecidable - Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions
The Undecidable
Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions
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Detaljer om varen
Paperback: 416 siderUdgiver: Dover Publications, Incorporated (Februar 2004)
Forfattere: Martin Davis
ISBN-10: 0486432289
ISBN-13: 9780486432281
"A valuable collection both for original source material as well as historical formulations of current problems."--The Review of Metaphysics"Much more than a mere collection of papers . . . a valuable addition to the literature."--Mathematics of ComputationAn anthology of fundamental papers on undecidability and unsolvability by major figures in the field, this classic reference opens with G?del's landmark 1931 paper demonstrating that systems of logic cannot admit proofs of all true assertions of arithmetic. Subsequent papers by G?del, Church, Turing, and Post single out the class of recursive functions as computable by finite algorithms. Additional papers by Church, Turing, and Post cover unsolvable problems from the theory of abstract computing machines, mathematical logic, and algebra, and material by Kleene and Post includes initiation of the classification theory of unsolvable problems. Suitable for graduate and undergraduate courses. 1965 ed.
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