Academic Catalog

MATH406 INTR.TO MATH.LOGIC AND MODEL THEORY

Course Code: 2360406
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 6.0
Department: Mathematics
Language of Instruction: English
Level of Study: Undergraduate
Course Coordinator: Lecturer Dr. MUHÝDDÝN UÐUZ
Offered Semester: Fall Semesters.
Prerequisite: Set 1: 2360111
The course set above should be completed before taking MATH406 INTR.TO MATH.LOGIC AND MODEL THEORY.

Course Content

First order language, structures and satisfaction. Completeness and compactness theorems. Isomorphism, elementary equivalence and elementary imbedding. Löwenheim-Skolem theorem. Interpolation and definability. Atomic, universal and saturated models and their characterisation. Extensions of first order logic.