Ordinal Analysis with an Introduction to Proof Theory (Logic in Asia: Studia Logica Library) - Softcover

Buch 8 von 9: Logic in Asia: Studia Logica Library

Arai, Toshiyasu

 
9789811564611: Ordinal Analysis with an Introduction to Proof Theory (Logic in Asia: Studia Logica Library)
Softcover
ISBN 10: 9811564612 ISBN 13: 9789811564611
Verlag: Springer, 2021

Inhaltsangabe

Introduction.- Calculi for classical logic.- Cut-elimination in depth.- Epsilon numbers.- Iterations.- Collapsings.

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Über die Autorin bzw. den Autor

Toshiyasu Arai received a PhD from Tsukuba University. His thesis was on an extension of G. Takeuti’s 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 Hilbert’s second problem.

Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2021
Sprache
Englisch
ISBN 10 
9811564612
ISBN 13 
9789811564611
Einband
Tapa blanda
Auflage
1
Anzahl der Seiten
332
Kontakt zum Hersteller
Nicht verfügbar
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Weitere beliebte Ausgaben desselben Titels

9789811564581: Ordinal Analysis with an Introduction to Proof Theory (Logic in Asia: Studia Logica Library)

Vorgestellte Ausgabe

ISBN 10:  9811564582 ISBN 13:  9789811564581
Verlag: Springer, 2020
Hardcover