This Master's level course treats derivations and proofs as mathematical objects, studied from a formal, syntactic perspective. It contrasts with model theory, which focuses on semantic aspects. The course examines formal proof systems like natural deduction and sequent calculus. Key theorems such as cut elimination and normalisation for propositional and predicate logic, including formalized arithmetic, are proven in detail. Philosophical and linguistic connections to proof theory, such as its relationship with semantics and anti-realism, are also explored.
This course focuses on the syntactic study of proofs, examining formal systems and fundamental theorems. Specific modules or areas of study may include:
Selection is based on the number of credits from previous university studies, with a maximum of 165 credits considered.
The first payment of 18,875 SEK is due before studies begin. EU/EEA citizens, Swedish residence permit holders, and exchange students are exempt from tuition fees. Citizens of countries outside the EU/EEA and Switzerland are required to pay a 900 SEK application fee to universityadmissions.se. Payments can be made via bank transfer or card. Card payment is recommended for faster processing and to facilitate residence permit applications.
Not specified
Citizens of countries outside the EU/EEA and Switzerland are required to pay 18,875 SEK per term. EU/EEA citizens, Swedish residence permit holders, and exchange students are exempt from tuition fees.
The application period for the Spring 2026 intake is from 15 September to 15 October 2025.
This is a single-term course, running from 19 January to 25 March 2026.
You need to have successfully completed at least 7.5 credits of Logical Theory or Logic in Computer Science, or the equivalent. Selection is based on your previous university credits.
Scholarships may be available to help cover study costs for fee-paying students, with variable amounts. More information can be found on the University of Gothenburg's scholarship pages.
The language of instruction for this programme is English.