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Ordinal Analysis with an Introduction to Proof Theory
Langbeschreibung
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.
Hauptbeschreibung
Covers ordinal analysis at an advanced level, and proof theory at an elementary level
Inhaltsverzeichnis
Introduction.- Calculi for classical logic.- Cut-elimination in depth.- Epsilon numbers.- Iterations.- Collapsings.
Toshiyasu Arai received a PhD from Tsukuba University. His thesis was on an extension of G. Takeuti's consistency proofs.
ISBN-13:
9789811564581
Veröffentl:
2020
Erscheinungsdatum:
12.08.2020
Seiten:
332
Autor:
Toshiyasu Arai
Gewicht:
664 g
Format:
241x160x24 mm
Serie:
Logic in Asia: Studia Logica Library
Sprache:
Englisch
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