[GHC] #13895: "Illegal constraint in a type" error - is it fixable?

[GHC]

#13895: "Illegal constraint in a type" error - is it fixable?
-------------------------------------+-------------------------------------
           Reporter:  RyanGlScott    |             Owner:  (none)
               Type:  bug            |            Status:  new
           Priority:  normal         |         Milestone:
          Component:  Compiler       |           Version:  8.0.1
  (Type checker)                     |
           Keywords:  TypeInType     |  Operating System:  Unknown/Multiple
       Architecture:                 |   Type of failure:  None/Unknown
  Unknown/Multiple                   |
          Test Case:                 |        Blocked By:
           Blocking:                 |   Related Tickets:
Differential Rev(s):                 |         Wiki Page:
-------------------------------------+-------------------------------------
 I recently sketched out a solution to #13327. Here is the type signature
 that I wanted to write:

 {{{#!hs
 dataCast1 :: forall (c :: Type -> Type) (t :: forall (k :: Type). k ->
 Type).
              Typeable t
           => (forall d. Data d => c (t d))
           -> Maybe (c a)
 }}}

 But this doesn't typecheck:

 {{{
     • Could not deduce (Typeable (t k0))
       from the context: (Data a, Typeable (t k))
         bound by the type signature for:
                    dataCast1 :: forall a.
                                 Data a =>
                                 forall k (c :: * -> *) (t :: forall k1. k1
 -> *).
                                 Typeable (t k) =>
                                 (forall d. Data d => c (t * d)) -> Maybe
 (c a)
         at NewData.hs:(170,3)-(173,26)
       The type variable ‘k0’ is ambiguous
     • In the ambiguity check for ‘dataCast1’
       To defer the ambiguity check to use sites, enable
 AllowAmbiguousTypes
       When checking the class method:
         dataCast1 :: forall a.
                      Data a =>
                      forall k (c :: * -> *) (t :: forall k1. k1 -> *).
                      Typeable (t k) =>
                      (forall d. Data d => c (t * d)) -> Maybe (c a)
       In the class declaration for ‘Data’
     |
 170 |   dataCast1 :: forall (c :: Type -> Type) (t :: forall (k :: Type).
 k -> Type).
     |
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^...
 }}}

 This makes sense, since GHC has no way to conclude that the `k` in `t`'s
 kind is also `Typeable`. I tried to convince GHC of that fact:

 {{{#!hs
 dataCast1 :: forall (c :: Type -> Type) (t :: forall (k :: Type). Typeable
 k => k -> Type).
              Typeable t
           => (forall d. Data d => c (t d))
           -> Maybe (c a)
 }}}

 But this also doesn't work:

 {{{
 NewData.hs:171:25: error:
     • Illegal constraint in a type: Typeable k0
     • In the first argument of ‘Typeable’, namely ‘t’
       In the type signature:
         dataCast1 :: forall (c :: Type -> Type)
                             (t :: forall (k :: Type). Typeable k => k ->
 Type).
                      Typeable t => (forall d. Data d => c (t d)) -> Maybe
 (c a)
       In the class declaration for ‘Data’
     |
 171 |                Typeable t
     |                         ^

 NewData.hs:172:40: error:
     • Illegal constraint in a type: Typeable k0
     • In the first argument of ‘c’, namely ‘(t d)’
       In the type signature:
         dataCast1 :: forall (c :: Type -> Type)
                             (t :: forall (k :: Type). Typeable k => k ->
 Type).
                      Typeable t => (forall d. Data d => c (t d)) -> Maybe
 (c a)
       In the class declaration for ‘Data’
     |
 172 |             => (forall d. Data d => c (t d))
     |                                        ^^^
 }}}

 At this point, I'm stuck, since I have no idea how to work around this
 `Illegal constraint in a type` error. This error message appears to have
 originated as a part of the `TypeInType` patch, since there's even a
 [http://git.haskell.org/ghc.git/blob/58c781da4861faab11e4c5804e07e6892908ef72:/testsuite/tests/dependent/should_fail/PromotedClass.hs
 test case] checking for this behavior.

 But is this a fundamental limitation of kind equalities? Or would it be
 possible to lift this restriction?

--
Ticket URL: <http://ghc.haskell.org/trac/ghc/ticket/13895>
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