Type Theory and Formal Proof

Released on by Rob Nederpelt
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  • Type Theory and Formal Proof Book Detail

  • Author : Rob Nederpelt
  • Release Date : 2014-11-06
  • Publisher : Cambridge University Press
  • Genre : Computers
  • Pages : 465
  • ISBN 13 : 1316061086
  • File Size : 21,21 MB
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Type Theory and Formal Proof by Rob Nederpelt PDF Summary

Book Description: Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs. The authors begin with untyped lambda calculus and proceed to several fundamental type systems, including the well-known and powerful Calculus of Constructions. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalise mathematics. The only prerequisite is a basic knowledge of undergraduate mathematics. Carefully chosen examples illustrate the theory throughout. Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarise themselves with the material.

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Type Theory and Formal Proof

Type Theory and Formal Proof

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Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate s

Type Theory and Formal Proof

Type Theory and Formal Proof

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A gentle introduction for graduate students and researchers in the art of formalizing mathematics on the basis of type theory.

Structural Proof Theory

Structural Proof Theory

File Size : 43,43 MB
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A concise introduction to structural proof theory, a branch of logic studying the general structure of logical and mathematical proofs.