Derivation and Computation : Taking the Curry-Howard Correspondence Seriously
by
H. Simmons
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Tracts in Theoretical Computer Science
ISBN-10
0521771730
ISBN-13
9780521771733
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
May 18th, 2000
Print length
412 Pages
Weight
668 grams
Dimensions
16.10 x 23.60 x 2.50 cms
Product Classification:
Mathematical foundationsMathematical theory of computation
Ksh 25,400.00
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The is an introduction to simple type theory, exploring the relationship between proof and calculation. Each of its 52 sections ends with a set of exercises, some 200 in total. These are designed to help the reader get to grips with the subject. An appendix contains complete solutions to them.
Mathematics is about proofs, that is the derivation of correct statements; and calculations, that is the production of results according to well-defined sets of rules. The two notions are intimately related. Proofs can involve calculations, and the algorithm underlying a calculation should be proved correct. The aim of the author is to explore this relationship. The book itself forms an introduction to 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 which codifies number-theoretic function hierarchies. Each of the book's 52 sections ends with a set of exercises, some 200 in total. These are designed to help the reader get to grips with the subject, and develop a further understanding. An appendix contains complete solutions of these exercises.
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