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module CC.Term
import CC.Name
-- Definition ------------------------------------------------------------------
public export
Context : Type
Context = SnocList Name
public export
data IsVar : Nat -> Name -> Context -> Type where
Here : (eq : m ~~ n) -> IsVar 0 m (ctx :< n)
There : IsVar k n ctx -> IsVar (S k) n (ctx :< _)
public export
data Term : Context -> Type where
Var : (k : Nat) -> (0 n : Name) -> (0 prf : IsVar k n ctx) -> Term ctx
Abs : (n : Name) -> Term (ctx :< n) -> Term ctx
App : Term ctx -> Term ctx -> Term ctx
Let : (n : Name) -> Term ctx -> Term (ctx :< n) -> Term ctx
public export
data Value : Context -> Type
public export
data Neutral : Context -> Type
public export
data Closure : Context -> Type
public export
data Env : (local, global : Context) -> Type where
Lin : Env [<] global
(:<) : Env local global -> (p : (Name, Lazy (Value global))) -> Env (local :< fst p) global
data Closure : Context -> Type where
Close : (n : Name) -> Env local global -> Term (local :< n) -> Closure global
data Value where
Ntrl : Neutral ctx -> Value ctx
VAbs : Closure ctx -> Value ctx
data Neutral where
VVar : (k : Nat) -> (0 n : Name) -> (0 prf : IsVar k n ctx) -> Neutral ctx
VApp : Neutral ctx -> Lazy (Value ctx) -> Neutral ctx
%name IsVar prf
%name Term t, u
%name Value v
%name Neutral n
%name Closure close
%name Env env
-- Operations ------------------------------------------------------------------
export
index : Env local global -> (k : Nat) -> (0 prf : IsVar k n local) -> Value global
index (env :< (n, v)) 0 (Here eq) = v
index (env :< _) (S k) (There prf) = index env k prf
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