#6093 closed bug (fixed)
Kind polymorphism fails with recursive type definition using different kind
Reported by: | Ashley Yakeley | Owned by: | |
---|---|---|---|
Priority: | normal | Milestone: | |
Component: | Compiler (Type checker) | Version: | 7.6.1 |
Keywords: | Cc: | dimitris@…, sweirich@…, goldfire, dreixel | |
Operating System: | Unknown/Multiple | Architecture: | Unknown/Multiple |
Type of failure: | GHC rejects valid program | Test Case: | polykinds/T6093 |
Blocked By: | Blocking: | ||
Related Tickets: | Differential Rev(s): | ||
Wiki Page: |
Description
{-# LANGUAGE GADTs, PolyKinds #-} module Bug where data R t where MkR :: R f -> R (f ())
results in
Bug.hs:4:26: Kind mis-match The first argument of `R' should have kind `* -> k0', but `f ()' has kind `k0' In the type `R (f ())' In the definition of data constructor `MkR' In the data type declaration for `R'
Change History (16)
comment:1 Changed 3 years ago by simonpj
- Cc dimitris@… sweirich@… added
- difficulty set to Unknown
comment:2 Changed 3 years ago by Ashley Yakeley
This is from a real example and potentially quite a useful one. I want to reify types, so I'm doing something a bit like this:
data Type t where SimpleType :: IOWitness a -> Type a ConstructedType :: Type f -> Type a -> Type (f a)
(There's more to it than that, I'm storing instance witnesses as well, but you get the idea.)
comment:3 Changed 3 years ago by Ashley Yakeley
I also noticed I couldn't get around it with
data R1 t = MkR1 (R2 t) data R2 t where MkR2 :: R1 f -> R2 (f ())
...but perhaps that's to be expected?
comment:4 Changed 3 years ago by simonpj
- Cc goldfire dreixel added
Hmm. So you want to get the following type and kind signatures (where I put in all kind abstractions and applications):
Type :: forall k. k -> * SimpleType :: forall (a:*). IOWitness a -> Type * a ConstructedType :: forall k k2. forall (f:k2->k) (a:k2). Type (k2->k) g -> Type k2 a -> Type k (f a)
But there's a difficulty with SimpleType because data constructors must have competely parameteric result types. I think you really want
SimpleType :: forall k. (k ~ *) => forall (a:k). IOWitness a -> Type k a
I'm a bit out of my depth here, but Stephanie and Richard have been working on this kind of stuff so I'm ccing them.
comment:5 Changed 3 years ago by sweirich
As Simon has elaborated, your example requires *kind* equalities (or GADKs) which aren't yet supported. We're working on the theory that would allow us to add such kind equalities to FC now, but its not yet done (or implemented).
comment:6 Changed 3 years ago by Ashley Yakeley
Just to be clear, IOWitness is also polykinded. (It has to be, so I can for instance represent "Maybe Bool".)
IOWitness : k -> *
So I think it should be this:
Type :: forall k. k -> * SimpleType :: forall k. forall (a:k). IOWitness k a -> Type k a ConstructedType :: forall k k2. forall (f:k2->k) (a:k2). Type (k2->k) g -> Type k2 a -> Type k (f a)
This should be possible, should it not?
comment:7 Changed 3 years ago by goldfire
With that clarification, this may be a manifestation of the issues discussed in #6049. As I understand it, GHC doesn't currently allow recursive uses of a type to have different kind parameters than in the outer definition.
comment:8 Changed 3 years ago by simonpj
Yes I think Richard (= goldfire) is right. #6049 is on my list but it's a bit messy, so I won't get to it till after the Haskell Symposium deadline.
comment:9 Changed 3 years ago by simonpj@…
commit c91172004f2a5a6bf201b418c32c2d640ee34049
Author: Simon Peyton Jones <[email protected]> Date: Thu Jun 7 12:09:22 2012 +0100 Support polymorphic kind recursion This is (I hope) the last major patch for kind polymorphism. The big new feature is polymorphic kind recursion when you supply a complete kind signature for a type constructor. (I've documented it in the user manual too.) This fixes Trac #6137, #6093, #6049. The patch also makes type/data families less polymorphic by default. data family T a now defaults to T :: * -> * If you want T :: forall k. k -> *, use data family T (a :: k) This defaulting to * is done whenever there is a "complete, user-specified kind signature", something that is carefully defined in the user manual. Hurrah! compiler/typecheck/TcBinds.lhs | 3 +- compiler/typecheck/TcClassDcl.lhs | 49 -------- compiler/typecheck/TcHsType.lhs | 50 ++++++-- compiler/typecheck/TcInstDcls.lhs | 106 +++++------------ compiler/typecheck/TcRnDriver.lhs | 66 ++++++++--- compiler/typecheck/TcRnTypes.lhs | 31 ++---- compiler/typecheck/TcSplice.lhs | 3 +- compiler/typecheck/TcTyClsDecls.lhs | 204 ++++++++++++++++++------------- docs/users_guide/flags.xml | 5 +- docs/users_guide/glasgow_exts.xml | 228 ++++++++++++++++++++++------------- 10 files changed, 400 insertions(+), 345 deletions(-)
comment:10 Changed 3 years ago by simonpj
- Resolution set to fixed
- Status changed from new to closed
- Test Case set to polykinds/T6093
comment:11 Changed 3 years ago by Ashley Yakeley
- Resolution fixed deleted
- Status changed from closed to new
- Version changed from 7.4.1 to 7.6.1
This is still present in 7.6.1.
comment:12 Changed 3 years ago by Ashley Yakeley
- Resolution set to fixed
- Status changed from new to closed
OK, I see the problem. This compiles:
data R :: k -> * where MkR :: R f -> R (f ())
But this doesn't:
data R (t :: k) where MkR :: R f -> R (f ())
This is a different bug, and not so serious if you know the work-around.
comment:13 Changed 3 years ago by goldfire
I would argue that the failure of the second of Ashley's recent examples is not a bug, according to the manual. See this section. Polymorphic recursion is only enabled for a datatype with a "complete user-supplied kind signature". According to the manual, such a datatype must be defined with GADT syntax and with a top-level ::. The second example above does not have a top-level (i.e. outside of any parentheses) ::, so it does not have a "complete user-supplied kind signature" and thus cannot use polymorphic recursion.
As I understand it, Simon struggled a bit with the design around this issue, trying to balance kind inference with polymorphic recursion. The final result is something of a compromise, and is admittedly a little fiddly and can be unexpected behavior. However, it is well defined in the manual.
comment:14 Changed 3 years ago by Ashley Yakeley
It's an infelicity, albeit a documented one.
comment:15 Changed 3 years ago by simonpj
It's documented quite carefully; read the bit about a "complete kind signatures" in 7.8.3. If you have a better design, do put it forward.
comment:16 Changed 3 years ago by Ashley Yakeley
Oh, I see. Yes, that makes sense. Sorry.
To be clear, you are hoping for this, where I have made kind quantification and kind arguments explicit:
However, just as Hindley-Milner only allows monomorphic recursion for inferred types, so GHC only allows kind-monomorphic recursion for inferred kinds. So your example is behaving just as expected.
At the value level, a type signature is enought to allow polymorphic recursion. So you might hope that this would work:
But it doesn't yet work, because there isn't a clear notion of when a type constructor has a type signature (yet anyway), whereas it's totally clear at the value level. So currently there is no equivalent of "you can get polymorphic recursion if you give a type signature".
Do you have a real application in mind or were you just playing?
Simon