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

Book 8 of 9: Logic in Asia: Studia Logica Library

Arai, Toshiyasu

 
9789811564581: Ordinal Analysis with an Introduction to Proof Theory (Logic in Asia: Studia Logica Library)
Hardcover
ISBN 10: 9811564582 ISBN 13: 9789811564581
Publisher: Springer, 2020

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

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.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2020
Language
English
ISBN 10 
9811564582
ISBN 13 
9789811564581
Binding
Hardcover
Edition number
1
Number of pages
329

Other Popular Editions of the Same Title

9789811564611: Ordinal Analysis with an Introduction to Proof Theory (Logic in Asia: Studia Logica Library)

Featured Edition

ISBN 10:  9811564612 ISBN 13:  9789811564611
Publisher: Springer, 2021
Softcover