--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Tools/try0.ML Fri Feb 24 11:23:34 2012 +0100
@@ -0,0 +1,199 @@
+(* Title: HOL/Tools/try0.ML
+ Author: Jasmin Blanchette, TU Muenchen
+
+Try a combination of proof methods.
+*)
+
+signature TRY0 =
+sig
+ val try0N : string
+ val noneN : string
+ val auto : bool Unsynchronized.ref
+ val try0 :
+ Time.time option -> string list * string list * string list * string list
+ -> Proof.state -> bool
+ val setup : theory -> theory
+end;
+
+structure Try0 : TRY0 =
+struct
+
+datatype mode = Auto_Try | Try | Normal
+
+val try0N = "try0"
+
+val noneN = "none"
+
+val auto = Unsynchronized.ref false
+
+val _ =
+ ProofGeneralPgip.add_preference Preferences.category_tracing
+ (Preferences.bool_pref auto "auto-try0" "Try standard proof methods.")
+
+val default_timeout = seconds 5.0
+
+fun can_apply timeout_opt pre post tac st =
+ let val {goal, ...} = Proof.goal st in
+ case (case timeout_opt of
+ SOME timeout => TimeLimit.timeLimit timeout
+ | NONE => fn f => fn x => f x) (Seq.pull o tac) (pre st) of
+ SOME (x, _) => nprems_of (post x) < nprems_of goal
+ | NONE => false
+ end
+ handle TimeLimit.TimeOut => false
+
+fun do_generic timeout_opt command pre post apply st =
+ let val timer = Timer.startRealTimer () in
+ if can_apply timeout_opt pre post apply st then
+ SOME (command, Time.toMilliseconds (Timer.checkRealTimer timer))
+ else
+ NONE
+ end
+
+val parse_method =
+ enclose "(" ")"
+ #> Outer_Syntax.scan Position.start
+ #> filter Token.is_proper
+ #> Scan.read Token.stopper Method.parse
+ #> (fn SOME (Method.Source src) => src | _ => raise Fail "expected Source")
+
+fun apply_named_method_on_first_goal method thy =
+ method |> parse_method
+ |> Method.method thy
+ |> Method.Basic
+ |> curry Method.SelectGoals 1
+ |> Proof.refine
+ handle ERROR _ => K Seq.empty (* e.g., the method isn't available yet *)
+
+fun add_attr_text (NONE, _) s = s
+ | add_attr_text (_, []) s = s
+ | add_attr_text (SOME x, fs) s =
+ s ^ " " ^ (if x = "" then "" else x ^ ": ") ^ space_implode " " fs
+fun attrs_text (sx, ix, ex, dx) (ss, is, es, ds) =
+ "" |> fold add_attr_text [(sx, ss), (ix, is), (ex, es), (dx, ds)]
+
+fun do_named_method (name, ((all_goals, run_if_auto_try), attrs)) mode
+ timeout_opt quad st =
+ if mode <> Auto_Try orelse run_if_auto_try then
+ let val attrs = attrs_text attrs quad in
+ do_generic timeout_opt
+ (name ^ (if all_goals andalso
+ nprems_of (#goal (Proof.goal st)) > 1 then
+ "[1]"
+ else
+ "") ^
+ attrs) I (#goal o Proof.goal)
+ (apply_named_method_on_first_goal (name ^ attrs)
+ (Proof.theory_of st)) st
+ end
+ else
+ NONE
+
+val full_attrs = (SOME "simp", SOME "intro", SOME "elim", SOME "dest")
+val clas_attrs = (NONE, SOME "intro", SOME "elim", SOME "dest")
+val simp_attrs = (SOME "add", NONE, NONE, NONE)
+val metis_attrs = (SOME "", SOME "", SOME "", SOME "")
+val no_attrs = (NONE, NONE, NONE, NONE)
+
+(* name * ((all_goals, run_if_auto_try), (simp, intro, elim, dest) *)
+val named_methods =
+ [("simp", ((false, true), simp_attrs)),
+ ("auto", ((true, true), full_attrs)),
+ ("fast", ((false, false), clas_attrs)),
+ ("fastforce", ((false, false), full_attrs)),
+ ("force", ((false, false), full_attrs)),
+ ("blast", ((false, true), clas_attrs)),
+ ("metis", ((false, true), metis_attrs)),
+ ("linarith", ((false, true), no_attrs)),
+ ("presburger", ((false, true), no_attrs))]
+val do_methods = map do_named_method named_methods
+
+fun time_string (s, ms) = s ^ ": " ^ string_of_int ms ^ " ms"
+
+fun do_try0 mode timeout_opt quad st =
+ let
+ val st = st |> Proof.map_context (Config.put Metis_Tactic.verbose false #>
+ Config.put Lin_Arith.verbose false)
+ in
+ if mode = Normal then
+ "Trying " ^ space_implode " " (Try.serial_commas "and"
+ (map (quote o fst) named_methods)) ^ "..."
+ |> Output.urgent_message
+ else
+ ();
+ case do_methods |> Par_List.map (fn f => f mode timeout_opt quad st)
+ |> map_filter I |> sort (int_ord o pairself snd) of
+ [] =>
+ (if mode = Normal then Output.urgent_message "No proof found." else ();
+ (false, (noneN, st)))
+ | xs as (s, _) :: _ =>
+ let
+ val xs = xs |> map (fn (s, n) => (n, hd (space_explode " " s)))
+ |> AList.coalesce (op =)
+ |> map (swap o apsnd commas)
+ val need_parens = exists_string (curry (op =) " ") s
+ val message =
+ (case mode of
+ Auto_Try => "Auto Try Methods found a proof"
+ | Try => "Try Methods found a proof"
+ | Normal => "Try this") ^ ": " ^
+ Markup.markup Isabelle_Markup.sendback
+ ((if nprems_of (#goal (Proof.goal st)) = 1 then "by"
+ else "apply") ^ " " ^ (s |> need_parens ? enclose "(" ")")) ^
+ "\n(" ^ space_implode "; " (map time_string xs) ^ ").\n"
+ in
+ (true, (s, st |> (if mode = Auto_Try then
+ Proof.goal_message
+ (fn () => Pretty.chunks [Pretty.str "",
+ Pretty.markup Isabelle_Markup.hilite
+ [Pretty.str message]])
+ else
+ tap (fn _ => Output.urgent_message message))))
+ end
+ end
+
+fun try0 timeout_opt = fst oo do_try0 Normal timeout_opt
+
+fun try0_trans quad =
+ Toplevel.keep (K () o do_try0 Normal (SOME default_timeout) quad
+ o Toplevel.proof_of)
+
+fun merge_attrs (s1, i1, e1, d1) (s2, i2, e2, d2) =
+ (s1 @ s2, i1 @ i2, e1 @ e2, d1 @ d2)
+
+fun string_of_xthm (xref, args) =
+ Facts.string_of_ref xref ^
+ implode (map (enclose "[" "]" o Pretty.str_of
+ o Args.pretty_src @{context}) args)
+
+val parse_fact_refs =
+ Scan.repeat1 (Scan.unless (Parse.name -- Args.colon)
+ (Parse_Spec.xthm >> string_of_xthm))
+val parse_attr =
+ Args.$$$ "simp" |-- Args.colon |-- parse_fact_refs
+ >> (fn ss => (ss, [], [], []))
+ || Args.$$$ "intro" |-- Args.colon |-- parse_fact_refs
+ >> (fn is => ([], is, [], []))
+ || Args.$$$ "elim" |-- Args.colon |-- parse_fact_refs
+ >> (fn es => ([], [], es, []))
+ || Args.$$$ "dest" |-- Args.colon |-- parse_fact_refs
+ >> (fn ds => ([], [], [], ds))
+fun parse_attrs x =
+ (Args.parens parse_attrs
+ || Scan.repeat parse_attr
+ >> (fn quad => fold merge_attrs quad ([], [], [], []))) x
+
+val parse_try0_command =
+ Scan.optional parse_attrs ([], [], [], []) #>> try0_trans
+
+val _ =
+ Outer_Syntax.improper_command try0N
+ "try a combination of proof methods" Keyword.diag
+ parse_try0_command
+
+fun try_try0 auto =
+ do_try0 (if auto then Auto_Try else Try) NONE ([], [], [], [])
+
+val setup = Try.register_tool (try0N, (30, auto, try_try0))
+
+end;