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Church's formal system used in computatability, programming languages and proof theory to represent effective functions, programs and their computation, and proofs.
3
votes
Accepted
Question about "Free-ness" of Free SCWF
The way to get a "free" functor rather than an initial object is to allow the $\mathcal B$ in the category $\mathcal B$-Scwfs to vary.
Then there is a forgetful functor $U$ from the category of Scwfs …
8
votes
Accepted
Preservation under Substitution with Telescopes
The property, which I would call "typing of substitution" should hold in any type theory, and is not dependent on the exchange property (which I assume is what you mean by permutation)
The key is tha …