Cartesian Cubical Type Theory
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Cartesian Cubical Type Theory, by Carlo Angiuli, Guillaume Brunerie, Thierry Coquand, Kuen-Bang Hou (Favonia), Robert Harper, Daniel R. Licata

cart-cube.pdf -- draft paper

agda/ -- Agda formalization of the model, using the internal language technique developed by Orton and Pitts. This was developed using a development version of Agda, so if you experience problems checking it with the current release, let us know.
Everything.agda has a suggested reading order.