Computable Structures And The Hyperarithmetical Hierarchy (Volume 144) (Studies In Logic And The Foundations Of Mathematics, Vol

Computable Structures And The Hyperarithmetical Hierarchy (Volume 144) (Studies In Logic And The Foundations Of Mathematics, Vol

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SKU: DADAX0444500723
Brand: Elsevier
$205.82
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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 pgroups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is selfcontained 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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