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Derivation and Computation by H. Simmons

Derivation and Computation

by H. Simmons
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Book cover type: Hardcover
  • ISBN13: 9780521771733
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 412
  • Original Price: GBP 134.0
  • Language: English
  • Edition: N/A
  • Item Weight: 635 grams
  • BISAC Subject(s): Logic

The two notions of proofs and calculations are intimately related. Proofs can involve calculations, and the algorithm underlying a calculation should be proved correct. This volume explores this key relationship and introduces simple type theory. Starting from the familiar propositional calculus, the author develops the central idea of an applied lambda-calculus. This is illustrated by an account of Gödel's T, a system that codifies number-theoretic function hierarchies. Each of the book's 52 sections ends with a set of exercises, some 200 in total. An appendix contains complete solutions of these exercises.

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