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cs.LO2024
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…
cs.LO2024
On symmetries of spheres in univalent foundations
Pierre Cagne, Ulrik Buchholtz, Nicolai Kraus +1
Working in univalent foundations, we investigate the symmetries of spheres, i.e., the types of the form . The case of the circle has a slick answer: th…