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Proofs and Algorithms|Gilles Dowek

Proofs and Algorithms : An Introduction to Logic and Computability

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Overview

Proofs.-Predictive Logic.-Inductive Definitions.-Languages.-The Languages of Predicate Logic.-Proofs.-Examples of Theories.-Variations on the Principle of the Excluded Middle.-Models.-The Notion of a Model.-The Soundness Theorem.-The Completeness Theorem.-Other Applications of the Notion of Model.-Algorithms.-Computable Functions.-Computable Functions.-Computability over Lists and Trees.-Eliminating Recursion.-Programs.-Computation as a Sequence of Small Steps.-Proofs and Algorithms.-Church's Theorem.-Automated Theorem Proving.-Sequent Calculus.-Proof Search in the Sequent Calculus Without Cuts.-Decidable theories.-Constructivity.-Epilogue.-Index.-Bibliography

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Details

  • ISBN-13: 9780857291202
  • ISBN-10: 0857291203
  • Publisher: Springer
  • Publish Date: January 2011
  • Dimensions: 9.21 x 6.14 x 0.36 inches
  • Shipping Weight: 0.54 pounds
  • Page Count: 156

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