36 citations · 143 across the 40 of their papers we have counts for
4 papers · 1 filter
Type Theory with Explicit Universe Polymorphism (revised and extended version)
Marc Bezem, Thierry Coquand, Peter Dybjer +1
The aim of this paper is to refine and extend proposals by Sozeau and Tabareau and by Voevodsky for universe polymorphism in type theory. In those systems judgments can depend on e…
Some remarks about normal rings
Henri Lombardi, Thierry Coquand
We give a constructive proof that is normal when is normal. We apply this result to an operation needed for studying the henselization of a local ring. Our proof is base…
Controlling unfolding in type theory
Daniel Gratzer, Jonathan Sterling, Carlo Angiuli +2
We present a new way to control the unfolding of definitions in dependent type theory. Traditionally, proof assistants require users to fix whether each definition will or will not…
Constructive theory of ordinals
Thierry Coquand, Henri Lombardi, Stefan Neuwirth
In Chapter 3 of his Notes on constructive mathematics, Martin-L{ö}f describes recursively constructed ordinals. He gives a constructively acceptable version of Kleene's computable…