-- | Term application: apply second given 'TermT' to the first,
-- applying embedded 'TeSym's, or return an error.
-betaTe ::
- forall src ss es vs fun arg.
- Inj_Source (TypeVT src) src =>
+betaTerm ::
+ forall src ss ts vs fun arg.
+ SourceInj (TypeVT src) src =>
Constable (->) =>
- Term src ss es vs (fun::K.Type) ->
- Term src ss es vs (arg::K.Type) ->
- Either (Error_Beta src) (TermT src ss es vs)
-betaTe (Term qf tf (TeSym te_fun)) (Term qa ta (TeSym te_arg)) =
+ Term src ss ts vs (fun::K.Type) ->
+ Term src ss ts vs (arg::K.Type) ->
+ Either (Error_Beta src) (TermT src ss ts vs)
+betaTerm (Term qf tf (TeSym te_fun)) (Term qa ta (TeSym te_arg)) =
case tf of
TyApp _ (TyApp _ a2b a2b_a) a2b_b
| Just HRefl <- proj_ConstKiTy @(K (->)) @(->) a2b ->
- case a2b_a `eqTy` ta of
+ case a2b_a `eqType` ta of
Nothing -> Left $ Error_Beta_Type_mismatch (TypeVT a2b_a) (TypeVT ta)
Just Refl ->
- Right $ TermT $ Term @_ @_ @_ @_ @(_ #> _) (qf # qa) a2b_b
- (TeSym $ \c -> te_fun c `app` te_arg c)
+ Right $
+ case (proveConstraint qf, proveConstraint qa) of
+ -- NOTE: remove provable Constraints to keep those smaller.
+ (Just Dict, Just Dict) -> TermT $ Term (noConstraintLen (lenVars a2b_b)) a2b_b $
+ TeSym $ \c -> te_fun c `app` te_arg c
+ (Just Dict, Nothing) -> TermT $ Term qa a2b_b $
+ TeSym $ \c -> te_fun c `app` te_arg c
+ (Nothing, Just Dict) -> TermT $ Term qf a2b_b $
+ TeSym $ \c -> te_fun c `app` te_arg c
+ (Nothing, Nothing) -> TermT $ Term (qf # qa) a2b_b $
+ TeSym $ \c -> te_fun c `app` te_arg c
_ -> Left $ Error_Beta_Term_not_a_function $ TypeVT (qf #> tf)
-- | Collapse given 'BinTree' of 'TermVT's to compute a resulting 'TermVT', if possible.
-betasTe ::
- Inj_Source (TypeVT src) src =>
+betaTerms ::
+ SourceInj (TypeVT src) src =>
Constable (->) =>
- BinTree (TermVT src ss es) ->
- Either (Error_Beta src) (TermVT src ss es)
-betasTe t =
+ BinTree (TermVT src ss ts) ->
+ Either (Error_Beta src) (TermVT src ss ts)
+betaTerms t =
collapseBT (\acc ele -> do
TermVT (Term qf tf te_fun) <- acc
TermVT (Term qa ta te_arg) <- ele
mgu <-
(Error_Beta_Unify `left`) $
case (unQualsTy af, unQualsTy ta') of
- (TypeK af', TypeK ta'') -> mguTy mempty af' ta''
+ (TypeK af', TypeK ta'') -> unifyType mempty af' ta''
let qf'' = subst mgu qf'
let qa'' = subst mgu qa'
let tf'' = subst mgu tf'
let ta'' = subst mgu ta'
- TermT (Term qr tr te_res) <- betaTe (Term qf'' tf'' te_fun) (Term qa'' ta'' te_arg)
- normalizeVarsTy (qr #> tr) $ \(TyApp _ (TyApp _ _c qr') tr') ->
+ TermT (Term qr tr te_res) <- betaTerm (Term qf'' tf'' te_fun) (Term qa'' ta'' te_arg)
+ normalizeVarsTy (qr #> tr) $ \case
+ TyApp _ (TyApp _ _c qr') tr' ->
Right $ TermVT $ Term qr' tr' te_res
+ _ -> undefined -- FIXME: as of GHC 8.2, GHC is no longer clever enough to rule out other cases
) (Right <$> t)
-- * Type 'Error_Beta'
-- with the 'Type' of the argument.
deriving (Eq, Show)
-instance Inj_Error (Error_Beta src) (Error_Beta src) where
- inj_Error = id
-instance Inj_Error (Error_Unify src) (Error_Beta src) where
- inj_Error = Error_Beta_Unify
-
-{-
-(<<*>>) :: Monad m => m (a -> m b) -> m a -> m b
-(<<*>>) f a = f >>= (a >>=)
-infixl 4 <<*>>
-{-# INLINE (<<*>>) #-}
--}
+instance ErrorInj (Error_Beta src) (Error_Beta src) where
+ errorInj = id
+instance ErrorInj (Error_Unify src) (Error_Beta src) where
+ errorInj = Error_Beta_Unify