Synopses & Reviews
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.
Synopsis
Well-written research monograph, recommended for students and professionals interested in model theory and definability theory. "Easy to use and a pleasure to read." Bulletin of the American Mathematical Society. 1974 edition.
Synopsis
Well-written research monograph, recommended for students and professionals interested in model theory and definability theory. "Easy to use and a pleasure to read." Bulletin of the American Mathematical Society. 1974 edition.
Table of Contents
PrefaceIntroduction1. Positive elementary inductive definitions2. The stages of an inductive definition3. Structure theory for inductive relations4. Games and game quantifiers5. Acceptable structures6. Inductive second order relations7. Second order characterizations8. Countable acceptable structures9. The next admissible setReferencesIndexIndex of symbols