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-rw-r--r--lambda-calcul/haskell/src/Minilang/Lambda/Eval.hs36
1 files changed, 22 insertions, 14 deletions
diff --git a/lambda-calcul/haskell/src/Minilang/Lambda/Eval.hs b/lambda-calcul/haskell/src/Minilang/Lambda/Eval.hs
index 0829186..a15d3f9 100644
--- a/lambda-calcul/haskell/src/Minilang/Lambda/Eval.hs
+++ b/lambda-calcul/haskell/src/Minilang/Lambda/Eval.hs
@@ -1,6 +1,7 @@
module Minilang.Lambda.Eval where
-import Data.Text (Text)
+import Data.Text (Text, unpack)
+import Debug.Trace (trace)
data Term
= Var Text
@@ -8,29 +9,36 @@ data Term
| App Term Term
deriving (Show, Read, Eq)
-type Env = [(Text, Term)]
+type Env = [(Text, Value)]
+
+data Value
+ = V Text
+ | Abs Text Term Env
+ | Ap Value Value
+ deriving (Show, Read, Eq)
-- call-by-value evaluator
-eval :: Term -> Env -> Term
+eval :: Term -> Env -> Value
eval (Var x) env = case lookup x env of
Just v -> v -- we do not need to eval v again
- Nothing -> Var x
-eval (Lam x body) _env = Lam x body
+ Nothing -> V x -- x is not bound in env
+eval (Lam x body) env = Abs x body env
eval (App f a) env =
-- we need to force evaluation of the argument
-- because haskell's default semantics is non-strict
-- so if a' is never used, it will not be evaluated!
let a' = eval a env
in seq a' $ case eval f env of
- Lam x body -> eval body ((x, a') : env)
- f' -> App f' a'
+ Abs x body env' -> eval body ((x, a') : env')
+ f' -> Ap f' a'
-evalNeed :: Term -> Env -> Term
+evalNeed :: Term -> Env -> Value
evalNeed (Var x) env = case lookup x env of
- Just v -> evalNeed v env -- we need to eval v because it might be a redex
- Nothing -> Var x
-evalNeed (Lam x body) _env = Lam x body
+ Just v -> v
+ Nothing -> V x
+evalNeed (Lam x body) env = Abs x body env
evalNeed (App f a) env =
- case evalNeed f env of
- Lam x body -> evalNeed body ((x, a) : env)
- f' -> App f' a
+ let a' = eval a env
+ in case evalNeed f env of
+ Abs x body env' -> evalNeed body ((x, a') : env')
+ f' -> Ap f' a'