University of Birmingham > Talks@bham > Theoretical computer science seminar > Effectfully gardening with the Pythia

Effectfully gardening with the Pythia

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact George Kaye.

Note unusual time because of interviews

We generalize to a rich dependent type theory a proof originally developed by Escardó that all System T functionals are continuous. It relies on the definition of a syntactic model of Baclofen Type Theory, a type theory where dependent elimination must be strict, into the Calculus of Inductive Constructions. The model is given by three translations: the axiom translation, that adds an oracle to the context; the branching translation, based on the dialogue monad, turning every type into a tree; and finally, a layer of algebraic binary parametricity, binding together the two translations. In the resulting type theory, every function f : (N → N) → N is externally continuous.

This talk is part of the Theoretical computer science seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

Talks@bham, University of Birmingham. Contact Us | Help and Documentation | Privacy and Publicity.
talks@bham is based on talks.cam from the University of Cambridge.