IN5580 – Computability theory
Course description
Course content
The course gives an introduction to basic computability theory. This theory can be regarded as a systematic mathematical theory of algorithms and computations.
Learning outcome
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.
Admission to the course
Students admitted at UiO must?apply for courses?in Studentweb. Students enrolled in Master's Degree Programmes not belonging to IFI can, on application, be admitted to the course if this is cleared by their own study programme.
Nordic citizens and applicants residing in the Nordic countries may?apply to take this course as a single course student.
If you are not already enrolled as a student at UiO, please see our information about?admission requirements and procedures for international applicants
Recommended previous knowledge
It will be an advantage to have completed one or more of the following courses: IN1150 – Logical Methods, IN2080 – Computability and Complexity, IN3070 – Logic, MAT-INF3600 – Mathematical Logic
Overlapping courses
- 10 credits overlap with IN9580 – Computability Theory.
- 10 credits overlap with INF5840 – Computability theory (continued).
- 10 credits overlap with INF9840 – Computability theory (continued).
Teaching
2 hours + 1 hour of lectures each week.
There will be one mandatory assignment which must be approved prior to the final exam. Read more about requirements for submission of assignments, group work and legal cooperation under guidelines for mandatory assignments.
Examination
Oral or written digital exam (4 hours) depending on the number of students.
The mandatory assignment must be approved 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:?INF5840 - Computability theory?,?INF9840 - Computability theory (continued),?IN9580 - Computability Theory
Examination support material
No examination support material is allowed.
Grading scale
Grades are awarded on a scale from A to F, where A is the best grade and F?is a fail. 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.
More about examinations at UiO
- Use of sources and citations
- Special exam arrangements due to individual needs
- Withdrawal from an exam
- Illness at exams / postponed exams
- Explanation of grades and appeals
- Resitting an exam
- Cheating/attempted cheating
You will find further guides and resources at the web page on examinations at UiO.