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cs.LO2026
The very dependent recursive structure of iterated parametricity in indexed form
Hugo Herbelin, Ramkumar Ramachandra
Reynolds' parametricity originally equips types with proof-irrelevant binary propositional relations over the types. But such relations can also be taken proof-relevant or unary, a…
cs.LO2025
A parametricity-based formalization of semi-simplicial and semi-cubical sets
Hugo Herbelin, Ramkumar Ramachandra
Semi-simplicial and semi-cubical sets are commonly defined as presheaves over respectively, the semi-simplex or semi-cube category. Homotopy Type Theory then popularized an alterna…