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Elementary Induction on Abstract Structuresby Yiannis Moschovakis
Synopses & ReviewsPublisher Comments: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 BarwiseGandyMoschovakis 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:Wellwritten 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:Wellwritten 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 ContentsPreface 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 What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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