Elementary Induction on Abstract Structures

Nonfiction, Science & Nature, Mathematics, Logic
Cover of the book Elementary Induction on Abstract Structures by Yiannis N. Moschovakis, Dover Publications
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Author: Yiannis N. Moschovakis ISBN: 9780486152011
Publisher: Dover Publications Publication: June 10, 2014
Imprint: Dover Publications Language: English
Author: Yiannis N. Moschovakis
ISBN: 9780486152011
Publisher: Dover Publications
Publication: June 10, 2014
Imprint: Dover Publications
Language: English

Hailed by the Bulletin of the American Mathematical Society as "easy to use and a pleasure to read," this research monograph is recommended for students and professionals interested in model theory and definability theory. The sole prerequisite is a familiarity with the basics of logic, model theory, and set theory.
The author, Professor of Mathematics at UCLA and Emeritus Professor of Mathematics,University of Athens, Greece, begins with a focus on the theory of inductive and hyperelementary sets. Subsequent chapters advance to acceptable structures and countable acceptable structures, concluding with the main result of the Barwise-Gandy-Moschovakis theory, which is the key to many applications of abstract recursion theory. Exercises at the end of each chapter form an integral part of the text, offering examples useful to the development of the general theory and outlining the theory's extensions.

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Hailed by the Bulletin of the American Mathematical Society as "easy to use and a pleasure to read," this research monograph is recommended for students and professionals interested in model theory and definability theory. The sole prerequisite is a familiarity with the basics of logic, model theory, and set theory.
The author, Professor of Mathematics at UCLA and Emeritus Professor of Mathematics,University of Athens, Greece, begins with a focus on the theory of inductive and hyperelementary sets. Subsequent chapters advance to acceptable structures and countable acceptable structures, concluding with the main result of the Barwise-Gandy-Moschovakis theory, which is the key to many applications of abstract recursion theory. Exercises at the end of each chapter form an integral part of the text, offering examples useful to the development of the general theory and outlining the theory's extensions.

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