Computable structures and the hyperarithmetical hierarchy
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 alge...
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| Format: | eBook |
| Language: | English |
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Amsterdam
Elsevier
2000, 2000
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| Edition: | 1st ed |
| Series: | Studies in logic and the foundations of mathematics
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| Collection: | Elsevier eBook collection Mathematics - Collection details see MPG.ReNa |
| Summary: | 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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| Physical Description: | xv, 346 pages |
| ISBN: | 0444500723 9780080529523 9780444500724 |