IN9580 – Computability theory
Teaching and exams spring 2022
In light of the most recent infection control regulations, we will at the start of the spring semester 2022 increase our online teaching, while we at the same time try to maintain in-person teaching where this is possible. We hope to go back to more in-person teaching later on in the semester. You will be informed about any changes in teaching or examinations on the semester page, in Canvas or through your regular channels.
Read more about postponed exams for the autumn semester 2021.
The course gives an introduction to basic computability theory. This theory can be regarded as a systematic mathematical theory of algorithms and computations.
After completing this course you will be:
- familiar with a number of basic concept in theoretical computer science: primitive recursive functions, computable functions, computable indices, computable sets, semi-computable sets, computably enumerable sets and undecidable problems.
- able to prove a number of classical theorems of great importance to computer science and related fields. You will e.g. be able to prove the undecidability of the halting problem, the undecidability of the Entscheidungsproblem, Godel´s First Incompleteness Theorem and the existence of Specker sequences.
- familiar with one or two advanced research topics in computability theory or complexity theory.
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.
Recommended previous knowledge
It will be an advantage to have completed one or more of the following courses: IN1150 – Logical Methods, INF2080 – Logikk og beregninger (continued), INF3170 – Logic (continued), MAT-INF3600 – Mathematical Logic
- 10 credits overlap with IN5580 – Computability theory.
- 10 credits overlap with INF5840 – Computability theory (continued).
- 10 credits overlap with INF9840 – Computability theory (continued).
2 hours + 1 hour of lectures each week. There will be one mandatory assignment which must be passed prior to the final exam.
The mandatory assignment must be passed prior to the exam.
It will also be counted as one of your three attempts to sit the exam for this course, if you sit the exam for one of the following courses: INF9840 - Computability theory (continued), INF5840 - Computability theory , IN5580 - Computability Theory
Examination support material
No examination support material is allowed.
Grades are awarded on a pass/fail scale. Read more about the grading system.
Resit an examination
Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester. Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.