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Computable Structure Theory: Within the Arithmetic (Perspectives in Logic) - Hardcover

Book 17 of 17: Perspectives in Logic

Montalbán, Antonio

 
9781108423298: Computable Structure Theory: Within the Arithmetic (Perspectives in Logic)
Hardcover
ISBN 10: 1108423299 ISBN 13: 9781108423298
Publisher: Cambridge University Press, 2021

Synopsis

In mathematics, we know there are some concepts - objects, constructions, structures, proofs - that are more complex and difficult to describe than others. Computable structure theory quantifies and studies the complexity of mathematical structures, structures such as graphs, groups, and orderings. Written by a contemporary expert in the subject, this is the first full monograph on computable structure theory in 20 years. Aimed at graduate students and researchers in mathematical logic, it brings new results of the author together with many older results that were previously scattered across the literature and presents them all in a coherent framework, making it easier for the reader to learn the main results and techniques in the area for application in their own research. This volume focuses on countable structures whose complexity can be measured within arithmetic; a forthcoming second volume will study structures beyond arithmetic.

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About the Author

Antonio Montalbán is Professor of Mathematics at the University of California, Berkeley.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2021
Language
English
ISBN 10 
1108423299
ISBN 13 
9781108423298
Binding
Hardcover
Edition number
1
Number of pages
250