import StdEnv
:: Prog :== [Instr]
-
-:: Instr = Write Expr
-
+:: Instr = Write Expr | Atomic [Instr]
:: Expr = Int Int
| Plus Expr Expr
| Times Expr Expr
| Read
possibleResults :: [Prog] -> [Int]
-possibleResults x = produce (map (map (\(Write x).eval x)) x) 0
+possibleResults x = produce x 0
-produce :: [[Int->Int]] Int -> [Int]
+produce :: [Prog] Int -> [Int]
produce x i
| all (isEmpty) x = [i]
-= flatten [produce (updateAt idx ys x) (y i)\\(idx, [y:ys])<-zip2 [0..] x]
-
-eval :: Expr Int -> Int
-eval (Int i) s = i
-eval (Plus e1 e2) s = eval e1 s + eval e2 s
-eval (Times e1 e2) s = eval e1 s * eval e2 s
-eval Read s = s
+= flatten [produce (updateAt idx ys x) (eval y i)\\(idx, [y:ys])<-zip2 [0..] x]
+eval :: Instr Int -> Int
+eval (Write (Int i)) s = i
+eval (Write (Plus e1 e2)) s = eval (Write e1) s + eval (Write e2) s
+eval (Write (Times e1 e2)) s = eval (Write e1) s * eval (Write e2) s
+eval (Write Read) s = s
+eval (Atomic x) s = hd (produce [x] s)
prog0 = [Write (Int 12), Write (Plus Read (Int 1))]
prog1 = [Write (Times Read (Int 2))]
test0 = [prog0]
test1 = [prog0, prog1]
-Start = (
- possibleResults test0,
- possibleResults test1)
+Start = 0
+/* Writing the semantics in clean is advantageous because you can execute the
+ * code, have it type checked and it is very readable for a programmer.
+ *
+ * Disadvantages might be that it might be harder to prove stuff. Also
+ * mathematic notation is generally more concise.
+ *
+ * Some things are modelled very difficultly in a functional language. For
+ * example file io, parallel processes or user interaction.
+*/