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Fundations of Logic and Model Theory

  • Number of credits 7.5 credits
  • Level Bachelor's level
  • Starting Autumn Term 2023

About the course

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.

Application and eligibility

Fundations of Logic and Model Theory, 7.5 credits

Det finns inga tidigare terminer för kursen Autumn Term 2023 Det finns inga senare terminer för kursen


28 August 2023


30 October 2023

Study location




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.

Entry requirements


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



Online applications are now open. You will be transferred to Universityadmissions.se. Application deadline is 17 April 2023. 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.

Application fee

SEK 900

Tuition fee, first instalment

SEK 17,850

Total fee

SEK 17,850

Contact us

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Course is given by
Department of Computing Science