 | Study programme 2018-2019 | Français | |
 | Model Theory I | ||
Activité d'apprentissage à la Faculty of Science |
| Code | Lecturer(s) | Associate Lecturer(s) | Subsitute Lecturer(s) et other(s) |
|---|---|---|---|
| S-MATH-023 |
|
| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term |
|---|---|---|---|---|---|---|---|
| Français | Français | 15 | 15 | 0 | 0 | 0 | Q2 |
Content of Learning Activity
Lowenheim-Skolem theorems, elementary substructures, existentially closed ones. Model-complete theories, quantifier elimination (criteria for these properties). Algebraic examples for these notions. Back-and-forth and dense/discrete orders. Equivalence relations. Categoricity and Ryll-Nardweski theorem.
Required Reading
Note de cours - Théorie des modèles 1 - Françoise Point
Required Learning Resources/Tools
Marker, D., Model theory. An introduction. Graduate Texts in Mathematics, 217. Springer-Verlag, New York, 2002.
Chang, C. C.; Keisler, H. J. Model theory. Third edition. Studies in Logic and the Foundations of Mathematics, 73. North-Holland Publishing Co., Amsterdam, 1990, 1977, 1973.
Recommended Reading
Recommended Learning Resources/Tools
Not applicable
Other Recommended Reading
Poizat B., Cours de théorie des modèles, 1985, Nur Al-Mantiq Wal-Ma'rifah. [Version anglaise éditée chez Springer en 2000.]
Hodges, W., Model theory. Encyclopedia of Mathematics and its Applications, 42. Cambridge University Press, Cambridge, 1993.
Mode of delivery
- Face to face
Type of Teaching Activity/Activities
- Cours magistraux
- Exercices dirigés
- Démonstrations
Evaluations
The assessment methods of the Learning Activity (AA) are specified in the course description of the corresponding Educational Component (UE)