Computable Structures and the Hyperarithmetical Hierarchy (Volume 144) (Studies in Logic and the Foundations of Mathematics, Volume 144) - Hardcover
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).
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Computable Structures and the Hyperarithmetical Hierarchy: Volume 144
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Elsevier Science & Technology, 2000
ISBN 10: 0444500723
ISBN 13: 9780444500724
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Hardback. Condition: New. 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). Seller Inventory # LU-9780444500724
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