same boat here :( my best idea so far is to treat them like (non-extensible) records.
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The fact that they’re extensible records seems (almost) the whole point, otherwise you can just use Coq modules. “Open” namespaces _can_ be encoded in Coq, exploiting its lookup rules — much more easily than anything in math-comp, and I do it by hand, but it’s still annoying.
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Yeah, not sure I understand the 'not being extensible thing'. I'm sort of thinking of namespaces like in Lean, C++, etc. Like you can split namespaces over multiple files and build them up incrementally. But we might be talking about different things?
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One thing I want to figure out is a nice way to scope data constructors under the name of a type, like in Rust and Lean. Would be cool to have some sort of systematic approach to extending 'paths' like this, but I dunno what that would look like…
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Like, I kind of think of the 'path' as like a 'bookmark' that makes it easy for the programmer to find stuff in a sort of soup of nodes… like, it's more of a user interface thing? I dunno though
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But if it's only a user interface thing, then it's less… uhhh… 'first class'. Which could be good, but I dunno.
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A joy of a dependently-typed language is that first-class abstractions don't just have a cost at runtime (which can be optimized away), but also at proof time. And now your inliner is a piece of ltac or proof automation, that is either way a cost.
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Wanted: partial evaluation and staging for proof search.
And I don't mean the idealized proof search of a logic, but the one from a proof assistant, and one supporting domain-specific proof automation.
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Yes me too! That would be so neat.
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I mainly want this for dependently typed metaprogramming, levitation, and faster codegen, but yeah, having it for proofs would be really cool too.
OTOH...
"I want staging"
Mom: "we have staging at home"
Staging at home: Coq's "Eval cbv in <term>"
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"I want staging"
Mum: "we have staging at home"
Staging at home: `const fn foo<const x: Int>() -> T { ... }`
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