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Apr 30, 2010 at 14:23 history edited Mike Shulman CC BY-SA 2.5
fixed \Box to \square
Apr 30, 2010 at 11:24 vote accept Matthew
Apr 30, 2010 at 2:18 comment added Jacques Carette Yes, T is some kind of program of type *, but usually the type language is not Turing-complete, so the type-level programs are not so complicated. That's not true when you have dependent types, like some of the systems in the lambda cube.
Apr 30, 2010 at 2:10 comment added Matthew Then for the "Programs" interpretation we have: t is a program of type T classified by * classified by square. I was hoping that the relationships would stay the same within a given interpretation: if we say that t is a program of type T, then it seems that T should be some kind of program of type *. Then perhaps * is the type of type-checking programs?
Apr 29, 2010 at 21:40 history answered Jacques Carette CC BY-SA 2.5