Computable Structures and the Hyperarithmetical Hierarchy - 1st Edition - ISBN: 9780444500724, 9780080529523

Computable Structures and the Hyperarithmetical Hierarchy, Volume 144

1st Edition

Authors: C.J. Ash J. Knight
Hardcover ISBN: 9780444500724
eBook ISBN: 9780080529523
Imprint: Elsevier Science
Published Date: 16th June 2000
Page Count: 366
Tax/VAT will be calculated at check-out
175.00
110.00
137.00
Unavailable
Compatible Not compatible
VitalSource PC, Mac, iPhone & iPad Amazon Kindle eReader
ePub & PDF Apple & PC desktop. Mobile devices (Apple & Android) Amazon Kindle eReader
Mobi Amazon Kindle eReader Anything else

Institutional Access


Table of Contents

Preface. Computability. The arithmetical hierarchy. Languages and structures. Ordinals. The hyperarithmetical hierarchy. Infinitary formulas. Computable infinitary formulas. The Barwise-Kreisel Compactness Theorem. Existence of computable structures. Completeness and forcing. The Ash-Nerode Theorem. Computable categoricity and stability. n-systems. &agr;-systems. Back-and forth relations. Theorems of Barker and Davey. Pairs of computable structures. Models of arithmetic. Special classes of structures.


Description

Preface. Computability. The arithmetical hierarchy. Languages and structures. Ordinals. The hyperarithmetical hierarchy. Infinitary formulas. Computable infinitary formulas. The Barwise-Kreisel Compactness Theorem. Existence of computable structures. Completeness and forcing. The Ash-Nerode Theorem. Computable categoricity and stability. n-systems. &agr;-systems. Back-and forth relations. Theorems of Barker and Davey. Pairs of computable structures. Models of arithmetic. Special classes of structures.


Details

No. of pages:
366
Language:
English
Copyright:
© Elsevier Science 2000
Published:
Imprint:
Elsevier Science
eBook ISBN:
9780080529523
Hardcover ISBN:
9780444500724

About the Authors

C.J. Ash Author

J. Knight Author

Affiliations and Expertise

University of Notre Dame, Department of Mathematics, Notre Dame, IN, USA