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|
(* ========================================================================== *)
(* ML EXPORT (HOL LIGHT) *)
(* - Exporting recorded tactics into a proof script *)
(* *)
(* By Mark Adams *)
(* Copyright (c) Univeristy of Edinburgh, 2012 *)
(* ========================================================================== *)
(* Routines for exporting an ML tactic proof script from the recorded tactic *)
(* proof tree. *)
(* Translation to hiproof *)
let rec gtree_to_hiproof gtr =
let (_,gtrm) = gtr in
match !gtrm with
Gactive
-> Hactive
| Gexit id
-> Hidentity
| Gexecuted (gstp,gtrs)
-> let h1 =
match gstp with
Gatom info | Gbox (Tactical info, _, true)
-> Hatomic (info, length gtrs)
| Gbox (l,gtr,false)
-> Hlabelled (l, gtree_to_hiproof gtr) in
let h2 = Htensor (map gtree_to_hiproof gtrs) in
Hsequence (h1,h2);;
(* ** PRINT UTILITIES ** *)
(* Basics *)
let print_string_if b x = if b then print_string x;;
let print_fstring x = print_string ("\"" ^ String.escaped x ^ "\"");;
let print_fterm tm = print_string ("`" ^ string_of_term tm ^ "`");;
let print_ftype ty = print_string ("`" ^ string_of_type ty ^ "`");;
(* Printer for 'finfo' *)
let rec print_farg x0 br arg =
match arg with
Fint n -> print_int n
| Fstring x -> print_fstring x
| Fterm tm -> print_fterm tm
| Ftype ty -> print_ftype ty
| Fthm prf -> print_finfo "<rule>" br prf
| Fpair (arg1,arg2)
-> let sep = if (forall is_atomic_farg [arg1;arg2]) then "," else ", " in
(print_string_if br "(";
print_farg x0 false arg1;
print_string sep;
print_farg x0 false arg2;
print_string_if br ")")
| Flist args
-> let sep = if (forall is_atomic_farg args) then ";" else "; " in
(print_string "[";
print_seplist (print_farg x0 false) sep args;
print_string "]")
| Ffn f
-> (print_finfo x0 br f)
and print_finfo x0 br ((x_,args):finfo) =
(print_string_if (br & not (is_empty args)) "(";
print_option x0 x_;
do_list (fun arg -> print_string " "; print_farg x0 true arg) args;
print_string_if (br & not (is_empty args)) ")");;
(* Printer for tactic 'finfo' *)
let print_tactic br ((x_,args):finfo) =
print_finfo "<tactic>" br ((x_,args):finfo);;
(* Printer for subgoal comments *)
let print_hicomment_line ns =
(print_string "(* *** Subgoal ";
print_int (hd ns);
do_list (fun n -> print_string "."; print_int n) (tl ns);
print_string " *** *)\n");;
(* print_tactic_line *)
let print_tactic_line_with pr arg =
(print_string "e ("; pr false arg; print_string ");;\n");;
let print_tactic_line info =
(print_tactic_line_with print_tactic info);;
let print_hitrace_line_with fl pr htr =
match htr with
Hicomment ns -> if fl then print_hicomment_line ns
| Hiproof h -> print_tactic_line_with pr h;;
(* print_hiproof0 *)
(* This is a utility used in exporters, for basic cases not explicitly dealt *)
(* with in the exporter's special cases. Does not print tacticals, other *)
(* than 'THEN' (for single arity) and 'THENL' (for multi-arity). Argument *)
(* 'pr' is the printer to be used on subcases. *)
let print_hiproof0 pr br h =
match h with
Hactive
-> print_string "..."
| Hatomic (info,_)
-> print_tactic br info
| Hidentity
-> print_string "ALL_TAC"
| Hlabelled (_,h0)
-> pr br h0
| Hsequence (h1, Htensor h2s)
-> (print_string_if br "(";
pr false h1;
print_string " THENL [";
print_seplist (pr false) "; " h2s;
print_string "]";
print_string_if br ")")
| Hsequence (h1,Hempty)
-> (pr br h1)
| Hsequence (h1,h2)
-> (print_string_if br "(";
pr false h1;
print_string " THEN ";
pr true h2;
print_string_if br ")")
| Htensor _
-> failwith "print_hiproof: Unexpected tensor"
| Hempty
-> failwith "print_hiproof: Unexpected empty";;
(* A basic hiproof printer that just uses 'print_hiproof0'. *)
let rec print_hiproof1 br h = print_hiproof0 print_hiproof1 br h;;
(* print_hiproof2 *)
let rec print_hiproof2 br h =
match h with
Hlabelled (Tactical (Some "REPEAT", _), Hsequence (h1,h2)) (* if repeated *)
-> (print_string_if br "(";
print_string "REPEAT ";
print_hiproof2 true h1;
print_string_if br ")")
| Hlabelled (Tactical (Some "THEN", _), (* if tac2 used *)
Hsequence (h1, Htensor (h2::h2s)))
-> (print_string_if br "(";
print_hiproof2 false h1;
print_string " THEN ";
print_hiproof2 true h2;
print_string_if br ")")
| Hlabelled (Tactical ((Some "SUBGOAL_THEN", (* special case *)
(Fterm tm)::[farg]) as info),
_)
-> (print_tactic br info)
| Hlabelled (Label x, h)
-> (print_string_if br "(";
print_string "HILABEL ";
print_fstring x; print_string " ";
print_hiproof2 true h;
print_string_if br ")")
| _ -> (print_hiproof0 print_hiproof2 br h);;
(* ** PRINTERS ** *)
(* Executed proof *)
(* Prints proof according to how it was executed, i.e. using the original e- *)
(* steps and according to any user-supplied 'REPEAT' and 'THEN' tacticals, *)
(* but only those parts that actually execute and not according to any other *)
(* tacticals. *)
let print_hiproof_executed_proof fl h =
let h' = trivsimp_hiproof h in
let htrs' = hiproof_block_trace h' in
do_list (print_hitrace_line_with fl print_hiproof2) htrs';;
let print_gtree_executed_proof fl gtr =
(print_hiproof_executed_proof fl o gtree_to_hiproof) gtr;;
let print_executed_proof fl = print_gtree_executed_proof fl !the_goal_tree;;
(* Packaged proof *)
(* Prints proof as a monolithic step, spotting opportunities for 'REPEAT' and *)
(* multi-arity 'THEN' tacticals in addition to those already in proof. *)
(* ! 'REPEAT' not currently catered for. *)
let print_hiproof_packaged_proof h =
let h' = (thenise_hiproof o trivsimp_hiproof o leftgroup_hiproof) h in
print_tactic_line_with print_hiproof2 h';;
let print_gtree_packaged_proof gtr =
(print_hiproof_packaged_proof o gtree_to_hiproof) gtr;;
let print_packaged_proof () = print_gtree_packaged_proof !the_goal_tree;;
(* THENL proof *)
(* Prints proof as a naive monolithic step, using 'THEN' for single arity, *)
(* and 'THENL' for multi-arity (even if each subgoal has the same proof). *)
(* This gives the full structure of each tactic execution. *)
let print_hiproof_thenl_proof h =
let h' = (trivsimp_hiproof o delabel_hiproof) h in
print_tactic_line_with print_hiproof1 h';;
let print_gtree_thenl_proof gtr =
(print_hiproof_thenl_proof o gtree_to_hiproof) gtr;;
let print_thenl_proof () = print_gtree_thenl_proof !the_goal_tree;;
(* Flat proof *)
(* This exports a proof as a flat series of e-steps, with no tacticals. *)
let print_hiproof_flat_proof fl h =
let h' = (trivsimp_hiproof o rightgroup_hiproof o trivsimp_hiproof o
delabel_hiproof) h in
let htrs' = hiproof_block_trace h' in
do_list (print_hitrace_line_with fl print_hiproof2) htrs';;
let print_gtree_flat_proof fl gtr =
(print_hiproof_flat_proof fl o gtree_to_hiproof) gtr;;
let print_flat_proof fl = print_gtree_flat_proof fl !the_goal_tree;;
|
