Ordinal analysis with an introduction to proof theory
著者
書誌事項
Ordinal analysis with an introduction to proof theory
（Logic in Asia : Studia logica library / series editors Fenrong Liu, Hiroakira Ono ... [et al.]）
Springer, c2020
- : [pbk.]
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
Introduction.- Calculi for classical logic.- Cut-elimination in depth.- Epsilon numbers.- Iterations.- Collapsings.
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