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Computable Structures and the Hyperarithmetical Hierarchy

Name: Computable Structures and the Hyperarithmetical Hierarchy
Brand: Elsevier Science
SKU: 04610691
Price: 55551 HUF
Availability: InStock
Author: C.J. Ash
ISBN: 9780444500724

C.J. Ash

J. Knight

Language

English

Book Hardback

Libristo code: 04610691

Publishers Elsevier Science, June 2000

This book describes a program of research in computable structure theory. The goal is to find defina... Full description

Libristo code: 04610691

372 b

55 551 Ft

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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).