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Computable Structures and the Hyperarithmetical Hierarchy (Repost)

Posted on 2010-09-20




Name:Computable Structures and the Hyperarithmetical Hierarchy (Repost)
ASIN/ISBN:0444500723
Publish Date:1 edition (May 1, 2000)
Pages:358 pages
File size:13.9 Mb
ISBN: 0444500723
Pages: 358 pages
File Type: PDF
File Size: 13,9 Mb
Other Info: Elsevier Science; 1 edition (May 1, 2000)
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C.J. Ash†, J. Knight, "Computable Structures and the Hyperarithmetical Hierarchy"

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).

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