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This book presents an introduction to model theory in 15 lectures. It concentrates on several key concepts: first-order definability, classification of complete types, elementary extensions, categoricity, automorphisms, and saturation; all illustrated with examples that require neither advanced alegbra nor set theory. A full proof of the compactness theorem for countable languages and its applications are given, followed by a discussion of the Ehrefeucht-Mostowski technique for constructing models admitting automorphisms. Additional topics include recursive saturation, nonstandard models of arithmetic, Abraham Robinson's model-theoretic proof of Tarski's theorem on undefinability of truth, and the proof of the Infinite Ramsey Theorem using an elementary extension of the standard model of arithmetic.
| Autorius: | Roman Kossak |
| Leidėjas: | College Publications |
| Išleidimo metai: | 2021 |
| Knygos puslapių skaičius: | 152 |
| ISBN-10: | 1848903618 |
| ISBN-13: | 9781848903616 |
| Formatas: | 234 x 156 x 9 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Model Theory for Beginners. 15 Lectures“
