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Stockholm University
Type theory
The course provides an introduction to type theory with simple and dependent types, how it can be used to represent logical systems and proofs, and how proofs give rise to computable functions. The final part of the course covers applications of type theory. The following topics are covered: Type theory: lambda cal…
- Higher education
- Information unavailable
- 18 January 2027
- Stockholm
- Information unavailable
- 25 %
Overview
The course provides an introduction to type theory with simple and dependent types, how it can be used to represent logical systems and proofs, and how proofs give rise to computable functions. The final part of the course covers applications of type theory. The following topics are covered: Type theory: lambda calculus, contexts, forms of judgement, simple types, inductive types. Operational semantics: confluence and normalization. The Curry-Howard isomorphism. Martin-Löf type theory: dependent types, induction and elimination rules, identity types, universes. The Brouwer-Heyting-Kolmogorov interpretation of logic. Meaning explanations. Semantics of dependent types. Explicit substitution. Category theoretical models. One or more of the following areas of application of type theory are covered: homotopy theory, models for (constructive) set theory and proof assistants.
Admission scores
Entry requirements
Admission to the course requires knowledge equivalent to at least 90 credits in mathematics, including the course Logic 7.5 credits (MM7008). English B/English 6 or equivalent.
The text is reproduced from the Susa source. Antagningsdata does not map GY11 and GY25 or assess personal eligibility.
Source, measure and data quality
- Source
- Skolverket Susa-navet
- Period
- 2027-01-18
- Measure
- Entry-requirement text reproduced from the published Susa data; no personal eligibility assessment is made.
- Population
- Education offering e.uoh.su.mm8036.48021.20271
- Last checked
- 2026-09-23T10:39:15.844538+00:00
- Limitation
- Antagningsdata does not map GY11 and GY25. General and specific conditions are not separated without structured source data.
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About the provider
Sources and data quality
Education facts for the selected offering come from Skolverket Susa-navet.
Retrieved . Published . Times are shown in Swedish local time.
Source identity and publication version
- Publication version
- 8e217193-f5fa-4778-b085-a4521fd03e8d
- Education identity in the source
- i.uoh.su.mm8036.48021.20271
- Offering identity in the source
- e.uoh.su.mm8036.48021.20271
- Education-form source code
- HS
- Education code in the source
- MM8036
- Change time according to the source
- 2026-08-18T13:34:29
The provider, education and education offering are separate identities. Application information should be checked on the official website. Supplementary statistics have not been obtained from this source.