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Ordinal analysis with an introductio...

Arai, Toshiyasu.

Ordinal analysis with an introduction to proof theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Ordinal analysis with an introduction to proof theoryby Toshiyasu Arai.
Author:	Arai, Toshiyasu.
Published:	Singapore :Springer Singapore :2020.
Description:	xvi, 313 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Proof theory.
Online resource:	https://doi.org/10.1007/978-981-15-6459-8
ISBN:	9789811564598$q(electronic bk.)

Ordinal analysis with an introduction to proof theory
Arai, Toshiyasu.

Ordinal analysis with an introduction to proof theory[electronic resource] /by Toshiyasu Arai. - Singapore :Springer Singapore :2020. - xvi, 313 p. :ill., digital ;24 cm. - Logic in Asia: studia logica library,2364-4613. - Logic in Asia: studia logica library..

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

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.

ISBN: 9789811564598$q(electronic bk.)

Standard No.: 10.1007/978-981-15-6459-8doiSubjects--Topical Terms:

190840
Proof theory.

LC Class. No.: QA9.54 / .A735 2020

Dewey Class. No.: 511.36

Ordinal analysis with an introduction to proof theory
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100 1 $a Arai, Toshiyasu. $3 876624
245 1 0 $a Ordinal analysis with an introduction to proof theory $h [electronic resource] / $c by Toshiyasu Arai.
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490 1 $a Logic in Asia: studia logica library, $x 2364-4613
505 0 $a Introduction -- Calculi for classical logic -- Cut-elimination in depth -- Epsilon numbers -- Iterations -- Collapsings.
520 $a 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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