jonsterling/homotopy
Public repository.
An experimental type theory with scoped equality reflection, and non-arbitrary proof search. This is basically a pared down version of Andromeda/Brazil, but with untyped reduction and a more Nuprl-like feel. Computational content of proofs is got via a realizability-based extraction. (Note: substitution is unsafe here, not because of a problem with the theory, but because I didn't understand how Bound works sadly.)
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Public repository.
Sheaves in Agda (will be superseded by https://github.com/jonsterling/constructive-sheaf-semantics which has sheaves on a site)
An Agda proof of Diaconescu's Theorem for Constructive Type Theory using Setoids
A possibly-wrong implementation of OTT (a fork of pi-forall)