Computable Structures and the Hyperarithmetical Hierarchy - Couverture rigide

Ash, C.J.; Knight, J.

 
9780444500724: Computable Structures and the Hyperarithmetical Hierarchy
Couverture rigide
ISBN 10 : 0444500723 ISBN 13 : 9780444500724
Editeur : Elsevier Science Ltd, 2000

Synopsis

This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is self-contained in that it includes necessary background material from recursion theory (ordinal notations, the hyperarithmetical hierarchy) and model theory (infinitary formulas, consistency properties).

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is self-contained in that it includes necessary background material from recursion theory (ordinal notations, the hyperarithmetical hierarchy) and model theory (infinitary formulas, consistency properties).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Elsevier Science Ltd
Date d'édition
2000
Langue
anglais
ISBN 10 
0444500723
ISBN 13 
9780444500724
Reliure
Relié
Nombre de pages
366
Coordonnées du fabricant
ELSEVIER
https://www.elsevier.com/es-es

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