University of Birmingham > Talks@bham > Theoretical computer science seminar > A homotopy type theory for directed homotopy theory

A homotopy type theory for directed homotopy theory

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If you have a question about this talk, please contact Dan Ghica.

In this talk, I will propose a directed type theory. The goal of this project is to develop a type theory which can be used to describe directed homotopy theory and category theory. At the core of this type theory is a `homomorphism’ type former whose terms are meant to represent homomorphisms or directed paths. Its rules are roughly analogous to those of Martin-Löf’s identity type. I will give an interpretation of this type former in the category of small categories which helps to elucidate its rules. I will also describe progress towards constructing weak factorization systems and interpretations in categories of directed spaces.

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

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