Ordinal Analysis with an Introduction to Proof Theory

Toshiyasu Arai (Autor)

Buch | Softcover

313 Seiten

2021 | 1st ed. 2020
Springer Verlag, Singapore
978-981-15-6461-1 (ISBN)

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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.

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.

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

Erscheinungsdatum	23.08.2021
Reihe/Serie	Logic in Asia: Studia Logica Library
Zusatzinfo	20 Illustrations, black and white; XVI, 313 p. 20 illus.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika
	Geisteswissenschaften ► Philosophie ► Logik
	Mathematik / Informatik ► Informatik ► Theorie / Studium
ISBN-10	981-15-6461-2 / 9811564612
ISBN-13	978-981-15-6461-1 / 9789811564611
Zustand	Neuware