Internal Type Theory
نویسنده
چکیده
We introduce categories with families as a new notion of model for a basic framework of dependent types. This notion is close to ordinary syntax and yet has a clean categorical description. We also present categories with families as a generalized algebraic theory. Then we deene categories with families formally in Martin-LL of's intensional intuitionistic type theory. Finally, we discuss the coherence problem for these internal categories with families.
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