--- a/src/HOL/Spec_Check/Examples.thy Thu May 30 21:28:54 2013 +0200
+++ b/src/HOL/Spec_Check/Examples.thy Thu May 30 21:37:00 2013 +0200
@@ -4,70 +4,80 @@
section {* List examples *}
-ML {*
+ML_command {*
check_property @{context} "ALL xs. rev xs = xs";
*}
-ML {*
+ML_command {*
check_property @{context} "ALL xs. rev (rev xs) = xs";
*}
section {* AList Specification *}
-ML {*
+ML_command {*
(* map_entry applies the function to the element *)
check_property @{context} "ALL k f xs. AList.lookup (op =) (AList.map_entry (op =) k f xs) k = Option.map f (AList.lookup (op =) xs k)";
+*}
+ML_command {*
(* update always results in an entry *)
check_property @{context} "ALL k v xs. AList.defined (op =) (AList.update (op =) (k, v) xs) k";
+*}
+ML_command {*
(* update always writes the value *)
check_property @{context} "ALL k v xs. AList.lookup (op =) (AList.update (op =) (k, v) xs) k = SOME v";
+*}
+ML_command {*
(* default always results in an entry *)
check_property @{context} "ALL k v xs. AList.defined (op =) (AList.default (op =) (k, v) xs) k";
+*}
+ML_command {*
(* delete always removes the entry *)
check_property @{context} "ALL k xs. not (AList.defined (op =) (AList.delete (op =) k xs) k)";
+*}
+ML_command {*
(* default writes the entry iff it didn't exist *)
check_property @{context} "ALL k v xs. (AList.lookup (op =) (AList.default (op =) (k, v) xs) k = (if AList.defined (op =) xs k then AList.lookup (op =) xs k else SOME v))";
*}
section {* Examples on Types and Terms *}
-ML {*
+ML_command {*
check_property @{context} "ALL f g t. map_types (g o f) t = (map_types f o map_types g) t";
*}
-ML {*
+ML_command {*
check_property @{context} "ALL f g t. map_types (f o g) t = (map_types f o map_types g) t";
*}
+
text {* One would think this holds: *}
-ML {*
+ML_command {*
check_property @{context} "ALL t ts. strip_comb (list_comb (t, ts)) = (t, ts)"
*}
text {* But it only holds with this precondition: *}
-ML {*
+ML_command {*
check_property @{context} "ALL t ts. case t of _ $ _ => true | _ => strip_comb (list_comb (t, ts)) = (t, ts)"
*}
section {* Some surprises *}
-ML {*
+ML_command {*
check_property @{context} "ALL Ts t. type_of1 (Ts, t) = fastype_of1 (Ts, t)"
*}
-
ML {* val thy = @{theory}; *}
-ML {*
- check_property @{context} "ALL t u. if Pattern.matches thy (t, u) then Term.could_unify (t, u) else true"
+ML_command {*
+check_property @{context} "ALL t u. if Pattern.matches thy (t, u) then Term.could_unify (t, u) else true"
*}
end