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Computable Structure Theory: Perspectives in Logic

Autor Antonio Montalbán
en Limba Engleză Hardback – 31 ian 2026
Computable structure theory studies the relative complexity of mathematical structures. This monograph examines structures whose complexity cannot be analyzed using the arithmetic hierarchy. Aimed at graduate students and researchers in mathematical logic, it brings the main results and techniques in the field together into a coherent framework.
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Specificații

ISBN-13: 9781108490252
ISBN-10: 1108490255
Pagini: 246
Greutate: 0.01 kg
Editura: Cambridge University Press
Seria Perspectives in Logic


Cuprins

1. Structures; 2. Relations; 3. Existentially-Atomic Models; 4. Generic Presentations; 5. Degree Spectra; 6. Comparing Structures and Classes of Structures; 7. Finite-Injury Constructions; 8. Computable Categoricity; 9. The Jump of a Structure; 10. ∑-Small Classes; Bibliography; Index.

Recenzii

'This exceptionally well-written book is the first modern monograph on computable structure theory in 20 years … The author succeeds in bringing together new and old results and presenting them in a coherent framework, making it easy for the reader to learn the main results and techniques in the area for application in their own research.' Alexandra Andreeva Soskova, MathSciNet

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