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.

Ordinal Analysis with an Introduction to Proof Theory

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£54.99

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Paperback / softback by Toshiyasu Arai

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This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal... Read more

    Publisher: Springer Verlag, Singapore
    Publication Date: 13/08/2021
    ISBN13: 9789811564611, 978-9811564611
    ISBN10: 9811564612

    Number of Pages: 313

    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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