Computable Structures and the Hyperarithmetical Hierarchy (Volume 144) (Studies in Logic and the Foundations of Mathematics, Volume 144)

Ash, C.J.; Knight, J.

ISBN 10: 0444500723 / ISBN 13: 9780444500724

Published by Elsevier Science, 2000

About this Item

A copy that has been read, remains in good condition. All pages are intact, and the cover is intact. The spine and cover show signs of wear. Pages can include notes and highlighting and show signs of wear, and the copy can include "From the library of" labels or previous owner inscriptions. 100% GUARANTEE! Shipped with delivery confirmation, if you're not satisfied with purchase please return item! Ships via media mail.

Seller Inventory # OTV.0444500723.G

Bibliographic Details

• Title: Computable Structures and the Hyperarithmetical Hierarchy (Volume 144) (Studies in Logic and the Foundations of Mathematics, Volume 144)
• Publisher: Elsevier Science
• Publication Date: 2000
• Language: English
• ISBN 10: 0444500723
• ISBN 13: 9780444500724
• Binding: Hardcover
• Condition: good

About this title

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).