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2026-04-19 15:58:34 <janus> i talked about iso-inductive types a few days back
2026-04-19 15:58:53 <janus> and now i found solomon did a chain of interpreters https://github.com/solomon-b/lambda-calculus-hs/blob/main/main/09b-IsoInductiveTypes.hs
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2026-04-19 15:59:26 <janus> it seems like the main concern was about whether the fold-unfolding would retain the right laziness
2026-04-19 16:00:06 <janus> but i didn't actually understand why it wouldn't
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2026-04-19 18:14:22 <monochrom> \∩/ I guessed right about why Dhall mandates handwritten types for functions (e.g. \(x:Natural) -> x+x). Last time I saw that requirement was System F. So I thought "is it just because Dhall is System F? and if so, can I do the usual System F trick to sneak in any positively recursive ADT?" The answer is yes and yes! In fact they have a howto for that!
2026-04-19 18:14:31 <monochrom> https://docs.dhall-lang.org/howtos/How-to-translate-recursive-code-to-Dhall.html
2026-04-19 18:16:09 <monochrom> So the language doesn't directly allow recursive ADT but they tell you that the backdoor is rank-n polymorphic church encoding.
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2026-04-19 18:28:15 <monochrom> More completely (pun!), handwritten types for lambdas and explicity type applications when calling polymorphic functions. So a better example is: Haskell's "map (\x -> x>0)" becomes Dhall's "map Natural Bool (\(x:Natural -> x>0))". That really looks like System F.
2026-04-19 18:29:58 <monochrom> plus the meta-clue that Gabriella is very PLT well-informed (unlike the makers of Perl, Python, PHP) so if she chose this there must be a PLT reason.
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2026-04-19 19:03:38 <monochrom> OK I'm going to teach Dhall in my PL course!!!
2026-04-19 19:04:13 <monochrom> It is not every day that one finds a real-world reason to teach System F to undergrads!
2026-04-19 19:04:24 <monochrom> or rather s/reason/excuse/ haha
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