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diff --git a/src/CHAD/AST/Types/Ty.hs b/src/CHAD/AST/Types/Ty.hs
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+++ b/src/CHAD/AST/Types/Ty.hs
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+{-# LANGUAGE TypeData #-}
+module CHAD.AST.Types.Ty where
+
+import Data.Kind (Type)
+
+import CHAD.Data (Nat)
+
+
+type data Ty
+  = TNil
+  | TPair Ty Ty
+  | TEither Ty Ty
+  | TLEither Ty Ty
+  | TMaybe Ty
+  | TArr Nat Ty  -- ^ rank, element type
+  | TScal ScalTy
+  | TAccum Ty  -- ^ contained type must be a monoid type
+  | TUser Type
+
+type data ScalTy = TI32 | TI64 | TF32 | TF64 | TBool