Computable Structures and the Hyperarithmetical Hierarchy

Nonfiction, Science & Nature, Mathematics, Applied, Technology
Cover of the book Computable Structures and the Hyperarithmetical Hierarchy by C.J. Ash, J. Knight, Elsevier Science
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: C.J. Ash, J. Knight ISBN: 9780080529523
Publisher: Elsevier Science Publication: June 16, 2000
Imprint: Elsevier Science Language: English
Author: C.J. Ash, J. Knight
ISBN: 9780080529523
Publisher: Elsevier Science
Publication: June 16, 2000
Imprint: Elsevier Science
Language: English

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).

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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).

More books from Elsevier Science

Cover of the book Feeding by C.J. Ash, J. Knight
Cover of the book Energy Optimization in Process Systems by C.J. Ash, J. Knight
Cover of the book Techniques in Discrete and Continuous Robust Systems by C.J. Ash, J. Knight
Cover of the book Radiative Heat Transfer by C.J. Ash, J. Knight
Cover of the book Energie by C.J. Ash, J. Knight
Cover of the book Stealing The Network by C.J. Ash, J. Knight
Cover of the book Atomic, Molecular, and Optical Physics: Atoms and Molecules by C.J. Ash, J. Knight
Cover of the book Handbook on Securing Cyber-Physical Critical Infrastructure by C.J. Ash, J. Knight
Cover of the book Bone Disease of Organ Transplantation by C.J. Ash, J. Knight
Cover of the book Energy and the Environment by C.J. Ash, J. Knight
Cover of the book Stepping Away from the Silos by C.J. Ash, J. Knight
Cover of the book I: Functional Analysis by C.J. Ash, J. Knight
Cover of the book Handbook of Technical Textiles by C.J. Ash, J. Knight
Cover of the book Biophysical Tools for Biologists by C.J. Ash, J. Knight
Cover of the book Composite Joints and Connections by C.J. Ash, J. Knight
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy