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

Posted on 2010-04-13




Name:Computable Structures and the Hyperarithmetical Hierarchy (Studies in Logic and the Foundations of Mathematics)
ASIN/ISBN:0444500723
Author:J. Knight
Publisher:Elsevier Science (2000)
Language:English
Pages:Hardcover, 358 pages
File size:19.3 Mb
   Computable Structures and the Hyperarithmetical Hierarchy (Studies in Logic and the Foundations of Mathematics)


Author: J. Knight


Publisher: Elsevier Science (2000)


Binding: Hardcover, 358 pages


pricer: $133.00


ISBN-10: 0444500723


editorialreviews

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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