The course covers predicate logic, first order logic, temporal logic, and model theory. Central concepts are syntax, semantics, proof systems, soundness, completeness, satisfiability, unification and resolution.
Knowledge of formal logical systems is necessary to understand the basic principles of many areas of Computer Science, e.g., databases, scientific computing, and machine learning. Module 1 creates this familiarity by teaching logical concepts and methods from a computer-science perspective. Particular emphasis is placed on (i) the difference between logically true statements and and formal proofs, i.e., the definition of logical truth on the one hand, and the development of formal systems for deriving the truth value of a statement on the other; (ii) algorithmic aspects of proof system, focusing on resolution; and (iii) logical models for logical systems and their usefulness for verification.
Module 2 provides logical proficiency training through mandatory assignments. The module illustrates theory taught in model 1, e.g., through assignments in logical programming, and gives the student the opportunity to apply definitions, notations, and formal systems in a practical setting.
Foundations of Logic and Model Theory, 7.5 credits
Autumn Term 2025
Starts
1 September 2025
Ends
2 November 2025
Study location
Umeå
Language
English
Type of studies
Daytime,
50%
Required Knowledge
To be admitted you must have at least 7.5 credits in discrete mathematics (e.g Introduction to Discrete Mathematics, 5MA143) and at least 7.5 credits in programming methodology (e.g 5DV157, 5DV158, 5DV176 eller 5DV177) or equivalent.
Academic credits
Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.
Application code
UMU-57205
Application
The online application opens 17 March 2025 at 09:00 CET.
Application deadline is
15 April 2025. How to apply
Application and tuition fees
As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.
