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-rw-r--r--src/nbe/Eval.ml56
1 files changed, 56 insertions, 0 deletions
diff --git a/src/nbe/Eval.ml b/src/nbe/Eval.ml
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+++ b/src/nbe/Eval.ml
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+open Bwd
+open Bwd.Infix
+
+module S = Syntax
+module D = Domain
+
+module Internal =
+struct
+  module Eff = Algaeff.Reader.Make (struct type nonrec t = D.env end)
+
+  let make_clo body = D.Clo { body; env = Eff.read() }
+
+  let rec inst_clo (D.Clo { body; env }) arg =
+    let env = env <: arg in
+    Eff.run ~env @@ fun () -> eval body
+
+  and app v w = match v with
+    | D.Lam (_, clo) -> inst_clo clo w
+    | D.Neutral (hd, frms) -> D.Neutral (hd, frms <: D.App w)
+    | _ -> invalid_arg "Eval.app"
+
+  and fst = function
+    | D.Pair (v, _) -> v
+    | D.Neutral (hd, frms) -> D.Neutral (hd, frms <: D.Fst)
+    | _ -> invalid_arg "Eval.fst"
+
+  and snd = function
+    | D.Pair (_, v) -> v
+    | D.Neutral (hd, frms) -> D.Neutral (hd, frms <: D.Snd)
+    | _ -> invalid_arg "Eval.snd"
+
+  and bool_elim motive_var motive true_case false_case = function
+    | D.True -> true_case
+    | D.False -> false_case
+    | D.Neutral (hd, frms) -> D.Neutral (hd, frms <: D.BoolElim { motive_var; motive; true_case; false_case })
+    | _ -> invalid_arg "Eval.bool_elim"
+
+  and eval = function
+    | S.Var i -> Bwd.nth (Eff.read()) i
+    | S.Pi (name, base, fam) -> D.Pi (name, eval base, make_clo fam)
+    | S.Lam (name, body) -> D.Lam (name, make_clo body)
+    | S.App (a, b) -> app (eval a) (eval b)
+    | S.Sg (name, base, fam) -> D.Sg (name, eval base, make_clo fam)
+    | S.Pair (a, b) -> D.Pair (eval a, eval b)
+    | S.Fst a -> fst (eval a)
+    | S.Snd a -> snd (eval a)
+    | S.Type -> D.Type
+    | S.Bool -> D.Bool
+    | S.True -> D.True
+    | S.False -> D.False
+    | S.BoolElim { motive_var; motive; true_case; false_case; scrut } ->
+      bool_elim motive_var (make_clo motive) (eval true_case) (eval false_case) (eval scrut)
+end
+
+let eval ~env tm = Internal.Eff.run ~env @@ fun () -> Internal.eval tm
+let inst_clo = Internal.inst_clo