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2025-12-12 16:16:17 <ski> Enrico63 : "Well, that's the same as `forall b. (forall a. a -> a) -> b`" -- no
2025-12-12 16:20:47 <Enrico63> ski, why?
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2025-12-12 16:39:33 ski blinks
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2025-12-12 16:48:09 Enrico63 joins (~Enrico63@host-95-251-99-143.retail.telecomitalia.it)
2025-12-12 16:48:38 <Enrico63> ski , blinks?
2025-12-12 16:49:00 <EvanR> is (forall a . a -> a) -> b the same as forall b . (forall a . a -> a) -> b
2025-12-12 16:49:06 <EvanR> using implicit forall it seems so
2025-12-12 16:50:54 <kuribas> Yes, except for scoped type variables.
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2025-12-12 17:01:07 <ski> Enrico63 : `[a] -> [a]' is not the same as `forall a. [a] -> [a]'
2025-12-12 17:02:25 <ski> Enrico63 : if it was, then `Eq a => a -> ([a] -> [a]) -> [a] -> [[a]]' would be the same as `Eq a => a -> (forall a. [a] -> [a]) -> [a] -> [[a]]', which is obviously nonsense
2025-12-12 17:03:16 <mauke> similarly, [a] -> Int is not the same as ([a] -> Int)
2025-12-12 17:03:18 <ski> Enrico63 : in *most* (but not all) circumstances, `foo :: ..a..' is interpreted as `foo :: forall a. ..a..'
2025-12-12 17:03:19 × merijn quits (~merijn@host-vr.cgnat-g.v4.dfn.nl) (Ping timeout: 250 seconds)
2025-12-12 17:03:33 <mauke> if it was, then [a] -> Integer would be the same as ([a] -> Int)eger
2025-12-12 17:03:55 × __monty__ quits (~toonn@user/toonn) (Ping timeout: 240 seconds)
2025-12-12 17:05:43 <ski> (exceptions being method signatures in `class' (and `instance') declarations, which have the type variables in the head of the declaration free; field/component signatures in record notation for data types; also local signatures (e.g. with `where' or `let'-`in') if you have non local tyvars in scope, using `ScopedTypeVariables')
2025-12-12 17:08:28 <ski> so, in `class Eq a where (==) :: a -> a -> Bool', the `(==)' method here is *not* polymorphic, it is monomorphic in the specific `a' being an instance of `Eq' that we're talking about. otoh, in `class Functor f where fmap :: (a -> b) -> f a -> f b', the signature here *is* interpreted as `fmap :: forall a b. (a -> b) -> f a -> f b' (so polymorphic in `a' and `b', but not in `f')
2025-12-12 17:08:47 <ski> (so, that's a "polymorphic method" example)
2025-12-12 17:11:24 <Enrico63> When I wrote `(forall a. a -> a) -> b` [...] the same as `forall b. (forall a. a -> a) -> b` , I think I was assuming a leading `::`, i.e. that that was the whole signature. Is that what makes the difference?
2025-12-12 17:11:47 <ski> if you'd represent type class instances using "dictionaries"/"vtables" (records of methods), then `Eq a' (as above) would be represented as `data EqDict a = MkEqDict {(==) :: a -> a -> Bool}', while for the `Functor' case we'd get `data FunctorDict f = MkFunctorDict {fmap :: forall a b. (a -> b) -> f a -> f b}', where the component/field here is polymorphic, so that the `MkFunctorDict' has a rank-1 type
2025-12-12 17:12:00 <ski> Enrico63 : for the most part, yes
2025-12-12 17:12:41 <ski> (but there are contexts in which tyvars are not implicitly `forall'-quantified, like when the tyvar is already in scope outside of the signature)
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