2 papers
cs.LO2026
A Generalized Algebraic Theory for Type Theory with Explicit Universe Polymorphism
Marc Bezem, Thierry Coquand, Peter Dybjer +1
We present generalized algebraic theories corresponding to slightly modified versions of two of the type theories in our paper Type Theory with Explicit Universe Polymorphism. We f…
math.LO2026
Examples and counterexamples of injective types
Tom de Jong, Martín Hötzel Escardó
It is known that, in univalent mathematics, type universes, the type of -types in a universe, reflective subuniverses, and the underlying type of any algebra of the lifting mona…