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cs.PL2023
Three non-cubical applications of extension types
Tesla Zhang
The development of cubical type theory inspired the idea of "extension types" which has been found to have applications in other type theories that are unrelated to homotopy type t…
cs.LO2023
Two tricks to trivialize higher-indexed families
Tesla Zhang
The conventional general syntax of indexed families in dependent type theories follow the style of "constructors returning a special case", as in Agda, Lean, Idris, Coq, and probab…