Computable Structures and the Hyperarithmetical Hierarchy

Computable Structures and the Hyperarithmetical Hierarchy
Author :
Publisher : Elsevier
Total Pages : 363
Release :
ISBN-10 : 9780080529523
ISBN-13 : 0080529526
Rating : 4/5 (526 Downloads)

Book Synopsis Computable Structures and the Hyperarithmetical Hierarchy by : C.J. Ash

Download or read book Computable Structures and the Hyperarithmetical Hierarchy written by C.J. Ash and published by Elsevier. This book was released on 2000-06-16 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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