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Computable Structures and the Hyperarithmetical Hierarchy

Computable Structures and the Hyperarithmetical Hierarchy - Studies in Logic and the Foundations of Mathematics

Hardback (16 Jun 2000)

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Publisher's 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).

Book information

ISBN: 9780444500724
Publisher: Elsevier Science
Imprint: Elsevier
Pub date:
DEWEY: 511.3
DEWEY edition: 21
Language: English
Number of pages: 346
Weight: 680g
Height: 234mm
Width: 156mm
Spine width: 22mm