--- a/src/HOL/Tools/Sledgehammer/sledgehammer_reconstruct.ML Wed Nov 28 12:21:42 2012 +0100
+++ b/src/HOL/Tools/Sledgehammer/sledgehammer_reconstruct.ML Wed Nov 28 12:22:05 2012 +0100
@@ -53,6 +53,7 @@
open ATP_Problem_Generate
open ATP_Proof_Reconstruct
open Sledgehammer_Util
+open Sledgehammer_Annotate
structure String_Redirect = ATP_Proof_Redirect(
type key = step_name
@@ -477,149 +478,6 @@
else
map (replace_dependencies_in_line (name, deps)) lines) (* drop line *)
-(** Type annotations **)
-
-fun post_traverse_term_type' f _ (t as Const (_, T)) s = f t T s
- | post_traverse_term_type' f _ (t as Free (_, T)) s = f t T s
- | post_traverse_term_type' f _ (t as Var (_, T)) s = f t T s
- | post_traverse_term_type' f env (t as Bound i) s = f t (nth env i) s
- | post_traverse_term_type' f env (Abs (x, T1, b)) s =
- let
- val ((b', s'), T2) = post_traverse_term_type' f (T1 :: env) b s
- in f (Abs (x, T1, b')) (T1 --> T2) s' end
- | post_traverse_term_type' f env (u $ v) s =
- let
- val ((u', s'), Type (_, [_, T])) = post_traverse_term_type' f env u s
- val ((v', s''), _) = post_traverse_term_type' f env v s'
- in f (u' $ v') T s'' end
-
-fun post_traverse_term_type f s t =
- post_traverse_term_type' (fn t => fn T => fn s => (f t T s, T)) [] t s |> fst
-fun post_fold_term_type f s t =
- post_traverse_term_type (fn t => fn T => fn s => (t, f t T s)) s t |> snd
-
-(* Data structures, orders *)
-val cost_ord = prod_ord int_ord (prod_ord int_ord int_ord)
-
-structure Var_Set_Tab = Table(
- type key = indexname list
- val ord = list_ord Term_Ord.fast_indexname_ord)
-
-(* (1) Generalize types *)
-fun generalize_types ctxt t =
- t |> map_types (fn _ => dummyT)
- |> Syntax.check_term
- (Proof_Context.set_mode Proof_Context.mode_pattern ctxt)
-
-(* (2) Typing-spot table *)
-local
-fun key_of_atype (TVar (z, _)) =
- Ord_List.insert Term_Ord.fast_indexname_ord z
- | key_of_atype _ = I
-fun key_of_type T = fold_atyps key_of_atype T []
-fun update_tab t T (tab, pos) =
- (case key_of_type T of
- [] => tab
- | key =>
- let val cost = (size_of_typ T, (size_of_term t, pos)) in
- case Var_Set_Tab.lookup tab key of
- NONE => Var_Set_Tab.update_new (key, cost) tab
- | SOME old_cost =>
- (case cost_ord (cost, old_cost) of
- LESS => Var_Set_Tab.update (key, cost) tab
- | _ => tab)
- end,
- pos + 1)
-in
-val typing_spot_table =
- post_fold_term_type update_tab (Var_Set_Tab.empty, 0) #> fst
-end
-
-(* (3) Reverse-greedy *)
-fun reverse_greedy typing_spot_tab =
- let
- fun update_count z =
- fold (fn tvar => fn tab =>
- let val c = Vartab.lookup tab tvar |> the_default 0 in
- Vartab.update (tvar, c + z) tab
- end)
- fun superfluous tcount =
- forall (fn tvar => the (Vartab.lookup tcount tvar) > 1)
- fun drop_superfluous (tvars, (_, (_, spot))) (spots, tcount) =
- if superfluous tcount tvars then (spots, update_count ~1 tvars tcount)
- else (spot :: spots, tcount)
- val (typing_spots, tvar_count_tab) =
- Var_Set_Tab.fold
- (fn kv as (k, _) => apfst (cons kv) #> apsnd (update_count 1 k))
- typing_spot_tab ([], Vartab.empty)
- |>> sort_distinct (rev_order o cost_ord o pairself snd)
- in fold drop_superfluous typing_spots ([], tvar_count_tab) |> fst end
-
-(* (4) Introduce annotations *)
-fun introduce_annotations ctxt spots t t' =
- let
- val thy = Proof_Context.theory_of ctxt
- val get_types = post_fold_term_type (K cons) []
- fun match_types tp =
- fold (Sign.typ_match thy) (op ~~ (pairself get_types tp)) Vartab.empty
- fun unica' b x [] = if b then [x] else []
- | unica' b x (y :: ys) =
- if x = y then unica' false x ys
- else unica' true y ys |> b ? cons x
- fun unica ord xs =
- case sort ord xs of x :: ys => unica' true x ys | [] => []
- val add_all_tfree_namesT = fold_atyps (fn TFree (x, _) => cons x | _ => I)
- fun erase_unica_tfrees env =
- let
- val unica =
- Vartab.fold (add_all_tfree_namesT o snd o snd) env []
- |> filter_out (Variable.is_declared ctxt)
- |> unica fast_string_ord
- val erase_unica = map_atyps
- (fn T as TFree (s, _) =>
- if Ord_List.member fast_string_ord unica s then dummyT else T
- | T => T)
- in Vartab.map (K (apsnd erase_unica)) env end
- val env = match_types (t', t) |> erase_unica_tfrees
- fun get_annot env (TFree _) = (false, (env, dummyT))
- | get_annot env (T as TVar (v, S)) =
- let val T' = Envir.subst_type env T in
- if T' = dummyT then (false, (env, dummyT))
- else (true, (Vartab.update (v, (S, dummyT)) env, T'))
- end
- | get_annot env (Type (S, Ts)) =
- (case fold_rev (fn T => fn (b, (env, Ts)) =>
- let
- val (b', (env', T)) = get_annot env T
- in (b orelse b', (env', T :: Ts)) end)
- Ts (false, (env, [])) of
- (true, (env', Ts)) => (true, (env', Type (S, Ts)))
- | (false, (env', _)) => (false, (env', dummyT)))
- fun post1 _ T (env, cp, ps as p :: ps', annots) =
- if p <> cp then
- (env, cp + 1, ps, annots)
- else
- let val (_, (env', T')) = get_annot env T in
- (env', cp + 1, ps', (p, T') :: annots)
- end
- | post1 _ _ accum = accum
- val (_, _, _, annots) = post_fold_term_type post1 (env, 0, spots, []) t'
- fun post2 t _ (cp, annots as (p, T) :: annots') =
- if p <> cp then (t, (cp + 1, annots))
- else (Type.constraint T t, (cp + 1, annots'))
- | post2 t _ x = (t, x)
- in post_traverse_term_type post2 (0, rev annots) t |> fst end
-
-(* (5) Annotate *)
-fun annotate_types ctxt t =
- let
- val t' = generalize_types ctxt t
- val typing_spots =
- t' |> typing_spot_table
- |> reverse_greedy
- |> sort int_ord
- in introduce_annotations ctxt typing_spots t t' end
-
val indent_size = 2
val no_label = ("", ~1)