Computable Structure Theory: Beyond the Arithmetic

Computable Structure Theory: Beyond the Arithmetic (Perspectives in Logic) book cover

Computable Structure Theory: Beyond the Arithmetic (Perspectives in Logic)

Author(s): Antonio Montalbán (Author)

  • Publisher finelybook 出版社: Cambridge University Press
  • Publication Date 出版日期: February 19, 2026
  • Language 语言: English
  • Print length 页数: 246 pages
  • ISBN-10: 1108490255
  • ISBN-13: 9781108490252

Book Description

Computable structure theory quantifies and studies the relative complexity of mathematical structures. This text, in conjunction with the author’s previous volume, represents the first full monograph on computable structure theory in two decades. 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. Geared towards graduate students and researchers in mathematical logic, the book enables the reader to learn all the main results and techniques in the area for application in their own research. While the previous volume focused on countable structures whose complexity can be measured within arithmetic, this second volume delves into structures beyond arithmetic, moving into the realm of the hyperarithmetic and the infinitary languages.

Editorial Reviews

Book Description

A coherent framework of results and techniques in computable structure theory, focusing on the hyperarithmetic and the infinitary languages.

About the Author

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

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