I read one of those popular papers on cubical type theory, but no wonder I could only see formulas and diagrams without being able to recognize them at all.So here's what I want. I want a deep enough explanation of what composition, Kan filling and gluing have to do with homotopy type theory. I don't expect there could be an ELI (insert age) for it but instead define the word dummy in the title as someone having some basic understanding of HoTT and category theory (perhaps, but not necessarily optionally).
Cubical type theory for dummies?
type theory;homotopy type theory