Contents

Idea

What homotopy type theory is for homotopy theory/(∞,1)-category theory, directed homotopy type theory is (or should be) for directed homotopy theory/(∞,n)-category theory.

One candidate for full omega-categories i.e. (∞,∞)-categories is opetopic type theory.

References

Also chapters 7 and 8 of

• Dan Licata, Dependently Typed Programming with Domain-Specific Logics PhD thesis, (pdf)

Revised on November 6, 2014 17:19:31 by Urs Schreiber (81.194.35.225)