Model theory
Course
LOG211
Master’s level
7.5 credits (ECTS)
About
The course starts with detailed proofs of compactness and omitting types for first-order logic. Students is then introduced to a number of central methods, constructions and results with a focus on model completeness, automorphism groups and omega categoricity, ultraproducts, o-minimality, interpretability and back-and-forth equivalence. Quantifier elimination and zero-one laws serve as an introduction to applications of model theory to computer science. The course also deals with Morley's theorem and the basics of stability theory.
Prerequisites and selection
Selection
Selection is based upon the number of credits from previous university studies, maximum 165 credits.