Dec 12, 2016 · Homotopy type theory is an extension of Martin-Löf type theory, based on a correspondence with homotopy theory and higher category theory.

In homotopy type theory, the propositional equality type becomes proof-relevant, and corresponds to paths in a space.

We show how patch theory can be developed in homotopy type theory. Our formulation separates formal theories of patches from their interpretation as edits to ...

Sep 1, 2014 · In homotopy type theory, the propositional equality type becomes proof-relevant, and corresponds to paths in a space.

Homotopy type theory is an extension of Martin-Löf type theory, based on a correspondence with homotopy theory and higher category theory.

Abstract. Homotopy type theory is an extension of Martin-Löf type theory, based on a correspondence with homotopy theory and higher cat- egory theory.

May 31, 2022 · 2.2.2 Homotopical Patch Theory. Homotopical Patch Theory [1] (HPT) gives a way to formulate patch theories in homotopy type theory. The ...

Sep 13, 2016 · Homotopy type theory is an extension of Martin-Löf type theory, based on a correspondence with homotopy theory and higher category theory.

Mar 3, 2014 · Abstract. Homotopy type theory is an extension of Martin-Löf type the- ory, based on a correspondence with homotopy theory and higher.

We want to study the general phenomenon of repositories and changes (similar to how group theory was invented to generalize symmetry groups).