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University of Cambridge > Talks.cam > Category Theory Seminar > A functional interpretation of type theory

## A functional interpretation of type theoryAdd to your list(s) Download to your calendar using vCal - Tamara von Glehn, DPMMS
- Tuesday 19 November 2013, 14:15-15:15
- MR5, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Julia Goedecke. Dependent types are interpreted in a category as certain maps, called fibrations, where substitution corresponds to pullback, quantifiers correspond to adjoints to pullback, and identity types arise from a weak factorisation system. In this talk I will look at how, given such a category C with fibrations modelling dependent type theory, we can get another model in the category of polynomials in C. These can be thought of as types with quantifiers freely added, with maps analogous to implication in GĂ¶del’s Dialectica interpretation of arithmetic. This talk is part of the Category Theory Seminar series. ## This talk is included in these lists:- All CMS events
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