Ordinal Analysis with an Introduction to Proof Theory

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  • Ordinal Analysis with an Introduction to Proof Theory Book Detail

  • Author : Toshiyasu Arai
  • Release Date : 2020-08-11
  • Publisher : Springer Nature
  • Genre : Philosophy
  • Pages : 327
  • ISBN 13 : 9811564590
  • File Size : 16,16 MB

Ordinal Analysis with an Introduction to Proof Theory by Toshiyasu Arai PDF Summary

Book Description: This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal analysis, a research topic in proof theory that is concerned with the ordinal theoretic content of formal theories. However, the book also addresses ordinal analysis and basic materials in proof theory of first-order or omega logic, presenting some new results and new proofs of known ones.Primarily intended for graduate students and researchers in mathematics, especially in mathematical logic, the book also includes numerous exercises and answers for selected exercises, designed to help readers grasp and apply the main results and techniques discussed.

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An Introduction to Proof Theory

An Introduction to Proof Theory

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An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid

Proof Theory

Proof Theory

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Although this is an introductory text on proof theory, most of its contents is not found in a unified form elsewhere in the literature, except at a very advance

Proof Theory

Proof Theory

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This book was originally intended to be the second edition of the book "Beweis theorie" (Grundlehren der mathematischen Wissenschaften, Band 103, Springer 1960)

Proof Theory

Proof Theory

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The kernel of this book consists of a series of lectures on in?nitary proof theory which I gave during my time at the Westfalische ̈ Wilhelms–Universitat ̈