137 citations · 500 across the 20 of their papers we have counts for
3 papers · 1 filter
Parametricity, automorphisms of the universe, and excluded middle
Auke Bart Booij, Martín Hötzel Escardó, Peter LeFanu Lumsdaine +1
It is known that one can construct non-parametric functions by assuming classical axioms. Our work is a converse to that: we prove classical axioms in dependent type theory assumin…
The HoTT Library: A formalization of homotopy type theory in Coq
Andrej Bauer, Jason Gross, Peter LeFanu Lumsdaine +3
We report on the development of the HoTT library, a formalization of homotopy type theory in the Coq proof assistant. It formalizes most of basic homotopy type theory, including un…
A mechanization of the Blakers-Massey connectivity theorem in Homotopy Type Theory
Kuen-Bang Hou, Eric Finster, Dan Licata +1
This paper continues investigations in "synthetic homotopy theory": the use of homotopy type theory to give machine-checked proofs of constructions from homotopy theory We present…