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{-# LANGUAGE TypeOperators #-}
{-# LANGUAGE StandaloneDeriving #-}
{-# LANGUAGE DataKinds #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE PolyKinds #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeFamilies #-}
-- The reason why this is a separate module with little in it:
{-# LANGUAGE AllowAmbiguousTypes #-}
module AST.Weaken where
data env :> env' where
WId :: env :> env
WSink :: env :> (t : env)
WCopy :: env :> env' -> (t : env) :> (t : env')
WPop :: (t : env) :> env' -> env :> env'
WThen :: env1 :> env2 -> env2 :> env3 -> env1 :> env3
WClosed :: '[] :> env
deriving instance Show (env :> env')
(.>) :: env2 :> env3 -> env1 :> env2 -> env1 :> env3
(.>) = flip WThen
type family Append a b where
Append '[] l = l
Append (x : xs) l = x : Append xs l
data ListSpine list where
LSNil :: ListSpine '[]
LSCons :: ListSpine list -> ListSpine (t : list)
class KnownListSpine list where knownListSpine :: ListSpine list
instance KnownListSpine '[] where knownListSpine = LSNil
instance KnownListSpine list => KnownListSpine (t : list) where knownListSpine = LSCons knownListSpine
wSinks :: forall list env. KnownListSpine list => env :> Append list env
wSinks = go (knownListSpine :: ListSpine list)
where
go :: forall list'. ListSpine list' -> env :> Append list' env
go LSNil = WId
go (LSCons spine) = WSink .> go spine
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