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Results tagged with dependent-types
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user 83968
An overlapping feature of type theory and type systems.
3
votes
0
answers
117
views
Calculus of constructions, type-in-type and recursion
Does adding type-in-type to the calculus of constructions lead to (general) recursion? Such that one can write the Y combinator.
- 575
5
votes
1
answer
104
views
What untyped term inhabits induction on natural numbers in CoC?
Induction on Church-encoded natural numbers (which I will call indNat) can not be defined within the Calculus of Constructions.
If we assumed indNat as an axiom, is there an untyped term that would h …
- 575
12
votes
2
answers
3k
views
Why does Coq include let-expressions in its core language
Coq includes let-expressions in its core language.
We can translate let-expressions to applications like this:
let x : t = v in b ~> (\(x:t). b) v
I understand that this does not always work because t …
- 575