Introduction to Logic

Postgraduate course

Course description

Objectives and Content


The course gives an introduction to basic concepts and techniques of mathematical logic.


The course presents reasoning systems and formal semantics for propositional and first-order logic, as well as proofs for soundness and completeness. One presents also the notions of decidability and compactness.

Learning Outcomes

On completion of the course the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:



The student knows:

  • the basic concepts from mathematical logic, such as:
  1. formal reasoning
  2. formal semantics
  3. decidability
    • the relations between these: soundness, completeness, compactness.



    The student can:

    • give correct logical arguments
    • find errors in incorrect arguments


    Generell competence

    The student can:

    • discuss logical arguments and their correctness with others
    • communicate the basic concepts of logic and their relevance for computer science

ECTS Credits


Level of Study


Semester of Instruction

Required Previous Knowledge

For incoming exchange students: At least 60 ECTS in Computer Science and at least 10 ECTS in mathematics.


Recommended Previous Knowledge
Some mathematical training is an advantage.
Credit Reduction due to Course Overlap
I127: 10 ECTS
Access to the Course
Access to the course requires admission to a programme of study at The Faculty of Mathematics and Natural Sciences
Teaching and learning methods

Lectures: 4 hours per week

Exercises: 2 hours per week

Compulsory Assignments and Attendance
The compulsory exercises are valid two semesters: the semester when they are approved and the succeeding semester.
Forms of Assessment
Written exam. Compulsory exercises may count towards the final grade. 
Grading Scale
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.
Assessment Semester
Examination both spring semester and autumn semester. In semesters without teaching the examination will be arranged at the beginning of the semester.
Reading List
The reading list will be available within July 1st for the autumn semester and December 1st for the spring semester.
Course Evaluation
The course will be evaluated by the students in accordance with the quality assurance system at UiB and the department.
Examination Support Material
Programme Committee
The Programme Committee is responsible for the content, structure and quality of the study programme and courses.
Course Coordinator
Course coordinator and administrative contact person can be found on Mitt UiB, or contact Student adviser
Course Administrator
The Faculty of Mathematics and Natural Sciences represented by the Department of Informatics is the course administrator for the course and study programme.