[Haskell-cafe] Categorical description of systems with dependent types

[Petr Pudlak]

  Hi,

recently, I was studying how cartesian closed categories can be used to 
describe typed functional languages. Types are objects and morphisms are 
functions from one type to another.

Since I'm also interested in systems with dependent types, I wonder if 
there is a categorical description of such systems. The problem (as I 
see it) is that the codomain of a function depends on a value passed to 
the function.

I'd happy if someone could give me some pointers to some papers or other 
literature.

     Thanks,
     Petr
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