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cs.LO2026
Constructive higher sheaf models with applications to synthetic mathematics
Thierry Coquand, Jonas Höfer, Christian Sattler
There have recently been several developments in synthetic mathematics using extensions of dependent type theory with univalence and higher inductive types: simplicial homotopy typ…
cs.LO2026
Eliminating reversals from cubical type theories
Evan Cavallo, Christian Sattler
Cubical type theories are designed around an abstract unit interval from which types of paths, used to represent equalities, are defined. Varying the operations available on this i…