Elementary Induction On Abstract Structures - Brossura

Moschovakis, Yiannis N.

Brossura

ISBN 10: 0486466787 ISBN 13: 9780486466781

Casa editrice: Dover Pubns, 2008

Riassunto

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.

Su questo libro

Contenuti:

Preface Introduction 1. Positive elementary inductive definitions 2. The stages of an inductive definition 3. Structure theory for inductive relations 4. Games and game quantifiers 5. Acceptable structures 6. Inductive second order relations 7. Second order characterizations 8. Countable acceptable structures 9. The next admissible set References Index Index of symbols

Product Description:

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. 1974 edition.

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2008
• ISBN 10: 0486466787
• ISBN 13: 9780486466781
• Rilegatura: Copertina flessibile
• Numero di pagine: 218