+let declaration_of_var = function
+ | NumVar s -> s, NumType
+ | IdentVar s -> s, StringType
+ | TermVar s -> s, TermType
+ | _ -> assert false
+
+let value_of_term = function
+ | Num (s, _) -> NumValue s
+ | Ident (s, None) -> StringValue s
+ | t -> TermValue t
+
+let term_of_value = function
+ | NumValue s -> Num (s, 0)
+ | StringValue s -> Ident (s, None)
+ | TermValue t -> t
+ | _ -> assert false (* TO BE UNDERSTOOD *)
+
+let rec well_typed ty value =
+ match ty, value with
+ | TermType, TermValue _
+ | StringType, StringValue _
+ | OptType _, OptValue None
+ | NumType, NumValue _ -> true
+ | OptType ty', OptValue (Some value') -> well_typed ty' value'
+ | ListType ty', ListValue vl ->
+ List.for_all (fun value' -> well_typed ty' value') vl
+ | _ -> false
+
+let declarations_of_env = List.map (fun (name, (ty, _)) -> (name, ty))
+let declarations_of_term p =
+ List.map declaration_of_var (CicNotationUtil.variables_of_term p)
+
+let rec combine decls values =
+ match decls, values with
+ | [], [] -> []
+ | (name, ty) :: decls, v :: values ->
+ (name, (ty, v)) :: (combine decls values)
+ | _ -> assert false
+
+let coalesce_env declarations env_list =
+ let env0 = List.map list_binding_of_name declarations in
+ let grow_env_entry env n v =
+ List.map
+ (function
+ | (n', (ty, ListValue vl)) as entry ->
+ if n' = n then n', (ty, ListValue (v :: vl)) else entry
+ | _ -> assert false)
+ env
+ in
+ let grow_env env_i env =
+ List.fold_left
+ (fun env (n, (_, v)) -> grow_env_entry env n v)
+ env env_i
+ in
+ List.fold_right grow_env env_list env0
+