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Showing 1 to 2 of 2 for “"univalence"”.
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Cubical Models of Homotopy Type Theory - An Internal Approach
… by extending type theory with Voevodsky's univalence axiom which identifies equalities between types with homotopy equivalences between spaces. Voevodsky showed the univalence axiom to be consistent by giving a model of homotopy type theory in the category of Kan simplicial sets in a paper …
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Interactions of (co)monads in Agda
… or those which would be incompatible with univalence such as choice, LEM or K. Our formalization is carried out using the agda-categories mathematical library. It describes interaction laws for functors in general, as well as between monads and comonads. We describe the monoidal category of …