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For questions regarding Agda: the programming language / proof assistant.

4 votes
2 answers
218 views

Binding variables to terms involving later variables

It sounds like maybe Agda is the only extant proof assistant that does anything like this, so I guess this is a question mostly about the implementation of Agda. …
Mike Shulman's user avatar
  • 3,270
11 votes
5 answers
2k views

How do real-world proof assistants bind variables and check equality?

I'm particularly interested in Coq, Agda, and Lean, since I have the most experience with them, but I would also be interested in answers addressing other proof assistants that fit those criteria. …
26 votes
0 answers
609 views

Categorical semantics of Agda

I would like to know the state of the art regarding the categorical semantics of the type theory implemented by Agda — or at least some approximation of that type theory that is amenable to mathematical … Agda, by contrast, allows the recursive functions in an inductive-recursive group to include arbitrarily many of the inductive types in their domain and their codomain. …
Mike Shulman's user avatar
  • 3,270