Ordinal Analysis with an Introduction to Proof Theory

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74,89 

Logic in Asia: Studia Logica Library

ISBN: 9811564612
ISBN 13: 9789811564611
Autor: Arai, Toshiyasu
Verlag: Springer Verlag GmbH
Umfang: xvi, 313 S., 20 s/w Illustr., 313 p. 20 illus.
Erscheinungsdatum: 13.08.2021
Auflage: 1/2021
Produktform: Kartoniert
Einband: Kartoniert

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.

Artikelnummer: 2666793 Kategorie:

Beschreibung

Autorenporträt

Toshiyasu Arai received a PhD from Tsukuba University. His thesis was on an extension of G. Takeutis consistency proofs.He got positions in Nagoya University, Hiroshima University, Kobe University, Chiba University, and University of Tokyo. His research interest is in proof theory. He received the MSJ Autumn Prize from the Mathematical Society of Japan in 2004 for the research on the Hilberts second problem.

Herstellerkennzeichnung:


Springer Verlag GmbH
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69121 Heidelberg
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E-Mail: juergen.hartmann@springer.com

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