If I define the following
{-# LANGUAGE FunctionalDependencies, GADTs, KindSignatures, MultiParamTypeClasses, PolyKinds, RankNTypes, TypeOperators, DefaultSignatures, DataKinds, FlexibleInstances, UndecidableInstances #-}
module Indexed.Test where
class IMonad (m :: (k -> *) -> k -> *) where
ireturn :: a x -> m a x
infixr 5 :-
data Thrist :: ((i,i) -> *) -> (i,i) -> * where
Nil :: Thrist a '(i,i)
(:-) :: a '(i,j) -> Thrist a '(j,k) -> Thrist a '(i,k)
instance IMonad Thrist where
ireturn a = a :- Nil
Then 'ireturn' complains (correctly) that it can't match the k with the kind (i,i). The reason it can't is because when you look at the resulting signature for the MPTC it generates it looks like
class IMonad k m where
ireturn :: a x -> m a x
However, there doesn't appear to be a way to say that the kind k should be determined by m.
I tried doing:
class IMonad (m :: (k -> *) -> k -> *) | m -> k where
ireturn :: a x -> m a x
Surprisingly (to me) this compiles and generates the correct constraints for IMonad:
ghci> :set -XPolyKinds -XKindSignatures -XFunctionalDependencies -XDataKinds -XGADTs
ghci> class IMonad (m :: (k -> *) -> k -> *) | m -> k where ireturn :: a x -> m a x
ghci> :info IMonad
class IMonad k m | m -> k where
ireturn :: a x -> m a x
But when I add
ghci> :{
Prelude| data Thrist :: ((i,i) -> *) -> (i,i) -> * where
Prelude| Nil :: Thrist a '(i,i)
Prelude| (:-) :: a '(i,j) -> Thrist a '(j,k) -> Thrist a '(i,k)
Prelude| :}
and attempt to introduce the instance, I crash:
ghci> instance IMonad Thrist where ireturn a = a :- Nil
ghc: panic! (the 'impossible' happened)
(GHC version 7.6.0.20120810 for x86_64-apple-darwin):
lookupVarEnv_NF: Nothing
Moreover, attempting to compile them in separate modules leads to a different issue.
Within the module, IMonad has a type that includes the kind k and the constraint on it from m. But from the other module, :info shows no such constraint, and the above code again fails to typecheck, but upon trying to recompile, when GHC goes to load the IMonad instance from the core file, it panicks again differently about references to a variable not present in the core.
Is there any way to make such a constraint that determines a kind from a type parameter in GHC 7.6 at this time?
I tried the Kind hack used in GHC.TypeLits, but it doesn't seem to be applicable to this situation.
-Edward