MAT9650 – Advanced Topics in Logic

Schedule, syllabus and examination date

Course content

Introduction to model theory and continuation of axiomatic set theory and computability theory. The content is flexible.

Learning outcome

In model theory, the student will learn about the concepts of quantifier elimination and element types and of the applications of these concepts. Finite model theory with the 0-1-law is one option. In axiomatic set theory, the student will be introduced to the method of forcing. In computability theory the concept of computability is extended to other structures than the natural numbers and sets of words over a finite alphabet.

Admission to the course

PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.

MAT-INF3600 – Mathematical Logic, MAT4630 – Computability Theory and MAT4640 – Axiomatic Set Theory/MAT9640 – Axiomatic Set Theory.

Overlapping courses

Teaching

3 hours per week throughout the semester.

The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.

Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.

Examination

1 mandatory assignment.

Final oral examination.

Examination support material

No examination support material is allowed.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Resit an examination

This course offers both postponed and resit of examination. Read more:

More about examinations at UiO

You will find further guides and resources at the web page on examinations at UiO.

Last updated from FS (Common Student System) Mar. 29, 2024 4:14:30 AM

Facts about this course

Level
PhD
Credits
10
Teaching

Spring 2020

Taught according to demand and resources. Contact studieinfo@math.uio.no if you are interested in this course.

Spring semester 2020: This course will only be given as a self-study course for PhD-students who has this in their study plan.

Examination
Spring
Teaching language
English