src/Pure/tctical.ML
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(*  Title:      Pure/tctical.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Copyright   1993  University of Cambridge
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Tacticals.
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*)
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infix 1 THEN THEN' THEN_ALL_NEW;
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infix 0 ORELSE APPEND INTLEAVE ORELSE' APPEND' INTLEAVE';
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infix 0 THEN_ELSE;
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signature TACTICAL =
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sig
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  type tactic  (* = thm -> thm Seq.seq*)
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  val all_tac           : tactic
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  val ALLGOALS          : (int -> tactic) -> tactic
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  val APPEND            : tactic * tactic -> tactic
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  val APPEND'           : ('a -> tactic) * ('a -> tactic) -> 'a -> tactic
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  val CHANGED           : tactic -> tactic
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  val CHANGED_PROP      : tactic -> tactic
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  val CHANGED_GOAL      : (int -> tactic) -> int -> tactic
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  val COND              : (thm -> bool) -> tactic -> tactic -> tactic
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  val DETERM            : tactic -> tactic
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  val EVERY             : tactic list -> tactic
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  val EVERY'            : ('a -> tactic) list -> 'a -> tactic
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  val EVERY1            : (int -> tactic) list -> tactic
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  val FILTER            : (thm -> bool) -> tactic -> tactic
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  val FIRST             : tactic list -> tactic
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  val FIRST'            : ('a -> tactic) list -> 'a -> tactic
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  val FIRST1            : (int -> tactic) list -> tactic
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  val FIRSTGOAL         : (int -> tactic) -> tactic
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  val INTLEAVE          : tactic * tactic -> tactic
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  val INTLEAVE'         : ('a -> tactic) * ('a -> tactic) -> 'a -> tactic
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  val METAHYPS          : (thm list -> tactic) -> int -> tactic
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  val metahyps_thms     : int -> thm -> thm list option
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  val no_tac            : tactic
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  val ORELSE            : tactic * tactic -> tactic
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  val ORELSE'           : ('a -> tactic) * ('a -> tactic) -> 'a -> tactic
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  val pause_tac         : tactic
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  val print_tac         : string -> tactic
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  val PRIMITIVE         : (thm -> thm) -> tactic
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  val PRIMSEQ           : (thm -> thm Seq.seq) -> tactic
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  val RANGE             : (int -> tactic) list -> int -> tactic
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  val REPEAT            : tactic -> tactic
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  val REPEAT1           : tactic -> tactic
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  val REPEAT_FIRST      : (int -> tactic) -> tactic
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  val REPEAT_SOME       : (int -> tactic) -> tactic
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  val REPEAT_DETERM_N   : int -> tactic -> tactic
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  val REPEAT_DETERM     : tactic -> tactic
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  val REPEAT_DETERM1    : tactic -> tactic
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  val REPEAT_DETERM_FIRST: (int -> tactic) -> tactic
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  val REPEAT_DETERM_SOME: (int -> tactic) -> tactic
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  val DETERM_UNTIL      : (thm -> bool) -> tactic -> tactic
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  val SINGLE            : tactic -> thm -> thm option
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  val SOMEGOAL          : (int -> tactic) -> tactic
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  val strip_context     : term -> (string * typ) list * term list * term
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  val CSUBGOAL          : ((cterm * int) -> tactic) -> int -> tactic
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  val SUBGOAL           : ((term * int) -> tactic) -> int -> tactic
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  val suppress_tracing  : bool ref
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  val THEN              : tactic * tactic -> tactic
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  val THEN'             : ('a -> tactic) * ('a -> tactic) -> 'a -> tactic
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  val THEN_ALL_NEW      : (int -> tactic) * (int -> tactic) -> int -> tactic
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  val REPEAT_ALL_NEW    : (int -> tactic) -> int -> tactic
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  val THEN_ELSE         : tactic * (tactic*tactic) -> tactic
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  val traced_tac        : (thm -> (thm * thm Seq.seq) option) -> tactic
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  val tracify           : bool ref -> tactic -> tactic
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  val trace_REPEAT      : bool ref
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  val TRY               : tactic -> tactic
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  val TRYALL            : (int -> tactic) -> tactic
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end;
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structure Tactical : TACTICAL =
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struct
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(**** Tactics ****)
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(*A tactic maps a proof tree to a sequence of proof trees:
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    if length of sequence = 0 then the tactic does not apply;
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    if length > 1 then backtracking on the alternatives can occur.*)
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type tactic = thm -> thm Seq.seq;
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(*** LCF-style tacticals ***)
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(*the tactical THEN performs one tactic followed by another*)
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fun (tac1 THEN tac2) st = Seq.maps tac2 (tac1 st);
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(*The tactical ORELSE uses the first tactic that returns a nonempty sequence.
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  Like in LCF, ORELSE commits to either tac1 or tac2 immediately.
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  Does not backtrack to tac2 if tac1 was initially chosen. *)
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fun (tac1 ORELSE tac2) st =
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    case Seq.pull(tac1 st) of
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        NONE       => tac2 st
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      | sequencecell => Seq.make(fn()=> sequencecell);
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(*The tactical APPEND combines the results of two tactics.
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  Like ORELSE, but allows backtracking on both tac1 and tac2.
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  The tactic tac2 is not applied until needed.*)
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fun (tac1 APPEND tac2) st =
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  Seq.append (tac1 st) (Seq.make(fn()=> Seq.pull (tac2 st)));
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(*Like APPEND, but interleaves results of tac1 and tac2.*)
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fun (tac1 INTLEAVE tac2) st =
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    Seq.interleave(tac1 st,
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                        Seq.make(fn()=> Seq.pull (tac2 st)));
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(*Conditional tactic.
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        tac1 ORELSE tac2 = tac1 THEN_ELSE (all_tac, tac2)
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        tac1 THEN tac2   = tac1 THEN_ELSE (tac2, no_tac)
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*)
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fun (tac THEN_ELSE (tac1, tac2)) st =
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    case Seq.pull(tac st) of
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        NONE    => tac2 st                                   (*failed; try tactic 2*)
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      | seqcell => Seq.maps tac1 (Seq.make(fn()=> seqcell)); (*succeeded; use tactic 1*)
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(*Versions for combining tactic-valued functions, as in
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     SOMEGOAL (resolve_tac rls THEN' assume_tac) *)
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fun (tac1 THEN' tac2) x = tac1 x THEN tac2 x;
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fun (tac1 ORELSE' tac2) x = tac1 x ORELSE tac2 x;
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fun (tac1 APPEND' tac2) x = tac1 x APPEND tac2 x;
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fun (tac1 INTLEAVE' tac2) x = tac1 x INTLEAVE tac2 x;
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(*passes all proofs through unchanged;  identity of THEN*)
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fun all_tac st = Seq.single st;
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(*passes no proofs through;  identity of ORELSE and APPEND*)
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fun no_tac st  = Seq.empty;
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(*Make a tactic deterministic by chopping the tail of the proof sequence*)
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fun DETERM tac = Seq.DETERM tac;
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(*Conditional tactical: testfun controls which tactic to use next.
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  Beware: due to eager evaluation, both thentac and elsetac are evaluated.*)
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fun COND testfun thenf elsef = (fn prf =>
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    if testfun prf then  thenf prf   else  elsef prf);
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(*Do the tactic or else do nothing*)
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fun TRY tac = tac ORELSE all_tac;
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(*** List-oriented tactics ***)
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local
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  (*This version of EVERY avoids backtracking over repeated states*)
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  fun EVY (trail, []) st =
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        Seq.make (fn()=> SOME(st,
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                        Seq.make (fn()=> Seq.pull (evyBack trail))))
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    | EVY (trail, tac::tacs) st =
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          case Seq.pull(tac st) of
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              NONE    => evyBack trail              (*failed: backtrack*)
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            | SOME(st',q) => EVY ((st',q,tacs)::trail, tacs) st'
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  and evyBack [] = Seq.empty (*no alternatives*)
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    | evyBack ((st',q,tacs)::trail) =
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          case Seq.pull q of
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              NONE        => evyBack trail
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            | SOME(st,q') => if Thm.eq_thm (st',st)
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                             then evyBack ((st',q',tacs)::trail)
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                             else EVY ((st,q',tacs)::trail, tacs) st
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in
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(* EVERY [tac1,...,tacn]   equals    tac1 THEN ... THEN tacn   *)
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fun EVERY tacs = EVY ([], tacs);
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end;
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(* EVERY' [tac1,...,tacn] i  equals    tac1 i THEN ... THEN tacn i   *)
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fun EVERY' tacs i = EVERY (map (fn f => f i) tacs);
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(*Apply every tactic to 1*)
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fun EVERY1 tacs = EVERY' tacs 1;
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(* FIRST [tac1,...,tacn]   equals    tac1 ORELSE ... ORELSE tacn   *)
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fun FIRST tacs = fold_rev (curry op ORELSE) tacs no_tac;
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(* FIRST' [tac1,...,tacn] i  equals    tac1 i ORELSE ... ORELSE tacn i   *)
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fun FIRST' tacs = fold_rev (curry op ORELSE') tacs (K no_tac);
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(*Apply first tactic to 1*)
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fun FIRST1 tacs = FIRST' tacs 1;
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(*Apply tactics on consecutive subgoals*)
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fun RANGE [] _ = all_tac
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  | RANGE (tac :: tacs) i = RANGE tacs (i + 1) THEN tac i;
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(*** Tracing tactics ***)
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(*Print the current proof state and pass it on.*)
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fun print_tac msg =
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    (fn st =>
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     (tracing msg;
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      tracing ((Pretty.string_of o Pretty.chunks o
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                 Display.pretty_goals (! Display.goals_limit)) st);
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      Seq.single st));
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(*Pause until a line is typed -- if non-empty then fail. *)
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fun pause_tac st =
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  (tracing "** Press RETURN to continue:";
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   if TextIO.inputLine TextIO.stdIn = SOME "\n" then Seq.single st
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   else (tracing "Goodbye";  Seq.empty));
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exception TRACE_EXIT of thm
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and TRACE_QUIT;
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(*Tracing flags*)
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val trace_REPEAT= ref false
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and suppress_tracing = ref false;
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(*Handle all tracing commands for current state and tactic *)
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fun exec_trace_command flag (tac, st) =
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   case TextIO.inputLine TextIO.stdIn of
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       SOME "\n" => tac st
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     | SOME "f\n" => Seq.empty
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     | SOME "o\n" => (flag:=false;  tac st)
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     | SOME "s\n" => (suppress_tracing:=true;  tac st)
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     | SOME "x\n" => (tracing "Exiting now";  raise (TRACE_EXIT st))
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     | SOME "quit\n" => raise TRACE_QUIT
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     | _     => (tracing
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"Type RETURN to continue or...\n\
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\     f    - to fail here\n\
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\     o    - to switch tracing off\n\
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\     s    - to suppress tracing until next entry to a tactical\n\
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\     x    - to exit at this point\n\
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\     quit - to abort this tracing run\n\
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\** Well? "     ;  exec_trace_command flag (tac, st));
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(*Extract from a tactic, a thm->thm seq function that handles tracing*)
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fun tracify flag tac st =
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  if !flag andalso not (!suppress_tracing)
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           then (Display.print_goals (! Display.goals_limit) st;
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                 tracing "** Press RETURN to continue:";
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                 exec_trace_command flag (tac,st))
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  else tac st;
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(*Create a tactic whose outcome is given by seqf, handling TRACE_EXIT*)
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fun traced_tac seqf st =
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    (suppress_tracing := false;
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     Seq.make (fn()=> seqf st
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                         handle TRACE_EXIT st' => SOME(st', Seq.empty)));
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(*Deterministic DO..UNTIL: only retains the first outcome; tail recursive.
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  Forces repitition until predicate on state is fulfilled.*)
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fun DETERM_UNTIL p tac =
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let val tac = tracify trace_REPEAT tac
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    fun drep st = if p st then SOME (st, Seq.empty)
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                          else (case Seq.pull(tac st) of
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                                  NONE        => NONE
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                                | SOME(st',_) => drep st')
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in  traced_tac drep  end;
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(*Deterministic REPEAT: only retains the first outcome;
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  uses less space than REPEAT; tail recursive.
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  If non-negative, n bounds the number of repetitions.*)
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fun REPEAT_DETERM_N n tac =
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  let val tac = tracify trace_REPEAT tac
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      fun drep 0 st = SOME(st, Seq.empty)
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        | drep n st =
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           (case Seq.pull(tac st) of
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                NONE       => SOME(st, Seq.empty)
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              | SOME(st',_) => drep (n-1) st')
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  in  traced_tac (drep n)  end;
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(*Allows any number of repetitions*)
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val REPEAT_DETERM = REPEAT_DETERM_N ~1;
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(*General REPEAT: maintains a stack of alternatives; tail recursive*)
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fun REPEAT tac =
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  let val tac = tracify trace_REPEAT tac
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      fun rep qs st =
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        case Seq.pull(tac st) of
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            NONE       => SOME(st, Seq.make(fn()=> repq qs))
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          | SOME(st',q) => rep (q::qs) st'
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      and repq [] = NONE
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        | repq(q::qs) = case Seq.pull q of
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            NONE       => repq qs
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          | SOME(st,q) => rep (q::qs) st
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  in  traced_tac (rep [])  end;
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(*Repeat 1 or more times*)
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fun REPEAT_DETERM1 tac = DETERM tac THEN REPEAT_DETERM tac;
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fun REPEAT1 tac = tac THEN REPEAT tac;
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(** Filtering tacticals **)
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fun FILTER pred tac st = Seq.filter pred (tac st);
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(*Accept only next states that change the theorem somehow*)
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fun CHANGED tac st =
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  let fun diff st' = not (Thm.eq_thm (st, st'));
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  in Seq.filter diff (tac st) end;
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(*Accept only next states that change the theorem's prop field
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  (changes to signature, hyps, etc. don't count)*)
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fun CHANGED_PROP tac st =
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  let fun diff st' = not (Thm.eq_thm_prop (st, st'));
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  in Seq.filter diff (tac st) end;
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(*** Tacticals based on subgoal numbering ***)
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(*For n subgoals, performs tac(n) THEN ... THEN tac(1)
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  Essential to work backwards since tac(i) may add/delete subgoals at i. *)
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fun ALLGOALS tac st =
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  let fun doall 0 = all_tac
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        | doall n = tac(n) THEN doall(n-1)
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  in  doall(nprems_of st)st  end;
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   318
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(*For n subgoals, performs tac(n) ORELSE ... ORELSE tac(1)  *)
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fun SOMEGOAL tac st =
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  let fun find 0 = no_tac
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        | find n = tac(n) ORELSE find(n-1)
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  in  find(nprems_of st)st  end;
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   324
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(*For n subgoals, performs tac(1) ORELSE ... ORELSE tac(n).
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  More appropriate than SOMEGOAL in some cases.*)
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fun FIRSTGOAL tac st =
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  let fun find (i,n) = if i>n then no_tac else  tac(i) ORELSE find (i+1,n)
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  in  find(1, nprems_of st)st  end;
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   331
(*Repeatedly solve some using tac. *)
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fun REPEAT_SOME tac = REPEAT1 (SOMEGOAL (REPEAT1 o tac));
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fun REPEAT_DETERM_SOME tac = REPEAT_DETERM1 (SOMEGOAL (REPEAT_DETERM1 o tac));
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   334
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(*Repeatedly solve the first possible subgoal using tac. *)
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fun REPEAT_FIRST tac = REPEAT1 (FIRSTGOAL (REPEAT1 o tac));
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fun REPEAT_DETERM_FIRST tac = REPEAT_DETERM1 (FIRSTGOAL (REPEAT_DETERM1 o tac));
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   338
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(*For n subgoals, tries to apply tac to n,...1  *)
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fun TRYALL tac = ALLGOALS (TRY o tac);
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(*Make a tactic for subgoal i, if there is one.  *)
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fun CSUBGOAL goalfun i st =
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  (case SOME (Thm.cprem_of st i) handle THM _ => NONE of
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606d919ad3c3 tuned SUBGOAL: Logic.nth_prem instead of List.nth o prems_of;
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    SOME goal => goalfun (goal, i) st
606d919ad3c3 tuned SUBGOAL: Logic.nth_prem instead of List.nth o prems_of;
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  | NONE => Seq.empty);
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   349
fun SUBGOAL goalfun =
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  CSUBGOAL (fn (goal, i) => goalfun (Thm.term_of goal, i));
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(*Returns all states that have changed in subgoal i, counted from the LAST
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  subgoal.  For stac, for example.*)
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   354
fun CHANGED_GOAL tac i st =
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4731f10af2e6 fixed CHANGED_GOAL, which is used by stac
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   355
    let val np = nprems_of st
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   356
        val d = np-i                 (*distance from END*)
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   357
        val t = List.nth(prems_of st, i-1)
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   358
        fun diff st' =
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   359
            nprems_of st' - d <= 0   (*the subgoal no longer exists*)
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   360
            orelse
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   361
             not (Pattern.aeconv (t,
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wenzelm
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   362
                                  List.nth(prems_of st',
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   363
                                           nprems_of st' - d - 1)))
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paulson
parents: 4602
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   364
    in  Seq.filter diff (tac i st)  end
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paulson
parents: 4602
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   365
    handle Subscript => Seq.empty  (*no subgoal i*);
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paulson
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   366
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fun (tac1 THEN_ALL_NEW tac2) i st =
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7428194b39f7 ALLGOALS_RANGE superceded by Seq.INTERVAL;
wenzelm
parents: 8366
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   368
  st |> (tac1 i THEN (fn st' => Seq.INTERVAL tac2 i (i + nprems_of st' - nprems_of st) st'));
4602
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   369
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wenzelm
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   370
(*repeatedly dig into any emerging subgoals*)
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   371
fun REPEAT_ALL_NEW tac =
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  tac THEN_ALL_NEW (TRY o (fn i => REPEAT_ALL_NEW tac i));
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wenzelm
parents: 8149
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   373
2005
a52f53caf424 Optimized version of SELECT_GOAL, up to 10% faster
paulson
parents: 1643
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   374
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clasohm
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   375
(*Strips assumptions in goal yielding  ( [x1,...,xm], [H1,...,Hn], B )
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wenzelm
parents: 12851
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   376
    H1,...,Hn are the hypotheses;  x1...xm are variants of the parameters.
wenzelm
parents: 12851
diff changeset
   377
  Main difference from strip_assums concerns parameters:
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clasohm
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   378
    it replaces the bound variables by free variables.  *)
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wenzelm
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   379
fun strip_context_aux (params, Hs, Const("==>", _) $ H $ B) =
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   380
        strip_context_aux (params, H::Hs, B)
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clasohm
parents:
diff changeset
   381
  | strip_context_aux (params, Hs, Const("all",_)$Abs(a,T,t)) =
20194
c9dbce9a23a1 renamed Term.variant_abs to Syntax.variant_abs;
wenzelm
parents: 19861
diff changeset
   382
        let val (b,u) = Syntax.variant_abs(a,T,t)
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   383
        in  strip_context_aux ((b,T)::params, Hs, u)  end
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   384
  | strip_context_aux (params, Hs, B) = (rev params, rev Hs, B);
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clasohm
parents:
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   385
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clasohm
parents:
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   386
fun strip_context A = strip_context_aux ([],[],A);
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clasohm
parents:
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   387
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   388
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clasohm
parents:
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   389
(**** METAHYPS -- tactical for using hypotheses as meta-level assumptions
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   390
       METAHYPS (fn prems => tac prems) i
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   391
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   392
converts subgoal i, of the form !!x1...xm. [| A1;...;An] ==> A into a new
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   393
proof state A==>A, supplying A1,...,An as meta-level assumptions (in
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   394
"prems").  The parameters x1,...,xm become free variables.  If the
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   395
resulting proof state is [| B1;...;Bk] ==> C (possibly assuming A1,...,An)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   396
then it is lifted back into the original context, yielding k subgoals.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   397
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   398
Replaces unknowns in the context by Frees having the prefix METAHYP_
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   399
New unknowns in [| B1;...;Bk] ==> C are lifted over x1,...,xm.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   400
DOES NOT HANDLE TYPE UNKNOWNS.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   401
****)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   402
13108
wenzelm
parents: 12851
diff changeset
   403
local
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   404
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   405
  (*Left-to-right replacements: ctpairs = [...,(vi,ti),...].
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   406
    Instantiates distinct free variables by terms of same type.*)
13108
wenzelm
parents: 12851
diff changeset
   407
  fun free_instantiate ctpairs =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   408
      forall_elim_list (map snd ctpairs) o forall_intr_list (map fst ctpairs);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   409
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   410
  fun free_of s ((a,i), T) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   411
        Free(s ^ (case i of 0 => a | _ => a ^ "_" ^ string_of_int i),
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   412
             T)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   413
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   414
  fun mk_inst (var as Var(v,T))  = (var,  free_of "METAHYP1_" (v,T))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   415
in
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   416
19153
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   417
(*Common code for METAHYPS and metahyps_thms*)
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   418
fun metahyps_split_prem prem =
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   419
  let (*find all vars in the hyps -- should find tvars also!*)
23178
07ba6b58b3d2 simplified/unified list fold;
wenzelm
parents: 23139
diff changeset
   420
      val hyps_vars = List.foldr add_term_vars [] (Logic.strip_assums_hyp prem)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   421
      val insts = map mk_inst hyps_vars
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   422
      (*replace the hyps_vars by Frees*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   423
      val prem' = subst_atomic insts prem
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   424
      val (params,hyps,concl) = strip_context prem'
19153
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   425
  in (insts,params,hyps,concl)  end;
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   426
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   427
fun metahyps_aux_tac tacf (prem,gno) state =
23224
e9fb2ff046fc added CSUBGOAL;
wenzelm
parents: 23178
diff changeset
   428
  let val (insts,params,hyps,concl) = metahyps_split_prem prem
22596
d0d2af4db18f rep_thm/cterm/ctyp: removed obsolete sign field;
wenzelm
parents: 22360
diff changeset
   429
      val {thy = sign,maxidx,...} = rep_thm state
19153
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   430
      val cterm = cterm_of sign
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   431
      val chyps = map cterm hyps
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   432
      val hypths = map assume chyps
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   433
      val subprems = map (forall_elim_vars 0) hypths
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   434
      val fparams = map Free params
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   435
      val cparams = map cterm fparams
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   436
      fun swap_ctpair (t,u) = (cterm u, cterm t)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   437
      (*Subgoal variables: make Free; lift type over params*)
13108
wenzelm
parents: 12851
diff changeset
   438
      fun mk_subgoal_inst concl_vars (var as Var(v,T)) =
20664
ffbc5a57191a member (op =);
wenzelm
parents: 20194
diff changeset
   439
          if member (op =) concl_vars var
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   440
          then (var, true, free_of "METAHYP2_" (v,T))
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   441
          else (var, false,
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   442
                free_of "METAHYP2_" (v, map #2 params --->T))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   443
      (*Instantiate subgoal vars by Free applied to params*)
13108
wenzelm
parents: 12851
diff changeset
   444
      fun mk_ctpair (t,in_concl,u) =
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   445
          if in_concl then (cterm t,  cterm u)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   446
          else (cterm t,  cterm (list_comb (u,fparams)))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   447
      (*Restore Vars with higher type and index*)
13108
wenzelm
parents: 12851
diff changeset
   448
      fun mk_subgoal_swap_ctpair
wenzelm
parents: 12851
diff changeset
   449
                (t as Var((a,i),_), in_concl, u as Free(_,U)) =
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   450
          if in_concl then (cterm u, cterm t)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   451
          else (cterm u, cterm(Var((a, i+maxidx), U)))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   452
      (*Embed B in the original context of params and hyps*)
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   453
      fun embed B = list_all_free (params, Logic.list_implies (hyps, B))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   454
      (*Strip the context using elimination rules*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   455
      fun elim Bhyp = implies_elim_list (forall_elim_list cparams Bhyp) hypths
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   456
      (*A form of lifting that discharges assumptions.*)
13108
wenzelm
parents: 12851
diff changeset
   457
      fun relift st =
22596
d0d2af4db18f rep_thm/cterm/ctyp: removed obsolete sign field;
wenzelm
parents: 22360
diff changeset
   458
        let val prop = Thm.prop_of st
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   459
            val subgoal_vars = (*Vars introduced in the subgoals*)
23178
07ba6b58b3d2 simplified/unified list fold;
wenzelm
parents: 23139
diff changeset
   460
                  List.foldr add_term_vars [] (Logic.strip_imp_prems prop)
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   461
            and concl_vars = add_term_vars (Logic.strip_imp_concl prop, [])
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   462
            val subgoal_insts = map (mk_subgoal_inst concl_vars) subgoal_vars
13664
cfe1dc32c2e5 No more explicit manipulation of flex-flex constraints in metahyps_aux_tac.
berghofe
parents: 13650
diff changeset
   463
            val st' = Thm.instantiate ([], map mk_ctpair subgoal_insts) st
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   464
            val emBs = map (cterm o embed) (prems_of st')
13664
cfe1dc32c2e5 No more explicit manipulation of flex-flex constraints in metahyps_aux_tac.
berghofe
parents: 13650
diff changeset
   465
            val Cth  = implies_elim_list st' (map (elim o assume) emBs)
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   466
        in  (*restore the unknowns to the hypotheses*)
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   467
            free_instantiate (map swap_ctpair insts @
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   468
                              map mk_subgoal_swap_ctpair subgoal_insts)
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   469
                (*discharge assumptions from state in same order*)
13664
cfe1dc32c2e5 No more explicit manipulation of flex-flex constraints in metahyps_aux_tac.
berghofe
parents: 13650
diff changeset
   470
                (implies_intr_list emBs
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   471
                  (forall_intr_list cparams (implies_intr_list chyps Cth)))
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   472
        end
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   473
      (*function to replace the current subgoal*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   474
      fun next st = bicompose false (false, relift st, nprems_of st)
19153
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   475
                    gno state
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   476
  in Seq.maps next (tacf subprems (trivial (cterm concl))) end;
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   477
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   478
end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   479
19153
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   480
(*Returns the theorem list that METAHYPS would supply to its tactic*)
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   481
fun metahyps_thms i state =
23224
e9fb2ff046fc added CSUBGOAL;
wenzelm
parents: 23178
diff changeset
   482
  let val prem = Logic.nth_prem (i, Thm.prop_of state)
23384
paulson
parents: 23224
diff changeset
   483
      and cterm = cterm_of (Thm.theory_of_thm state)
paulson
parents: 23224
diff changeset
   484
      val (_,_,hyps,_) = metahyps_split_prem prem
19153
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   485
  in SOME (map (forall_elim_vars 0 o assume o cterm) hyps) end
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   486
  handle TERM ("nth_prem", [A]) => NONE;
0864119a9611 splitting up METAHYPS into smaller functions
paulson
parents: 17969
diff changeset
   487
19455
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   488
local
19229
7183628d7b29 METAHYPS catches THM assume exception and prints out the terms containing schematic vars.
mengj
parents: 19153
diff changeset
   489
7183628d7b29 METAHYPS catches THM assume exception and prints out the terms containing schematic vars.
mengj
parents: 19153
diff changeset
   490
fun print_vars_terms thy (n,thm) =
19455
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   491
  let
19646
91c0ae7e542b avoid low-level Term.str_of_term;
wenzelm
parents: 19455
diff changeset
   492
    fun typed ty = " has type: " ^ Sign.string_of_typ thy ty;
19455
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   493
    fun find_vars thy (Const (c, ty)) =
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   494
        (case Term.typ_tvars ty
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   495
         of [] => I
19646
91c0ae7e542b avoid low-level Term.str_of_term;
wenzelm
parents: 19455
diff changeset
   496
          | _ => insert (op =) (c ^ typed ty))
91c0ae7e542b avoid low-level Term.str_of_term;
wenzelm
parents: 19455
diff changeset
   497
      | find_vars thy (Var (xi, ty)) = insert (op =) (Term.string_of_vname xi ^ typed ty)
19455
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   498
      | find_vars _ (Free _) = I
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   499
      | find_vars _ (Bound _) = I
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   500
      | find_vars thy (Abs (_, _, t)) = find_vars thy t
23224
e9fb2ff046fc added CSUBGOAL;
wenzelm
parents: 23178
diff changeset
   501
      | find_vars thy (t1 $ t2) =
19455
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   502
          find_vars thy t1 #> find_vars thy t1;
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   503
    val prem = Logic.nth_prem (n, Thm.prop_of thm)
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   504
    val tms = find_vars thy prem []
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   505
  in
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   506
    (warning "Found schematic vars in assumptions:"; warning (cat_lines tms))
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   507
  end;
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   508
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   509
in
19229
7183628d7b29 METAHYPS catches THM assume exception and prints out the terms containing schematic vars.
mengj
parents: 19153
diff changeset
   510
7183628d7b29 METAHYPS catches THM assume exception and prints out the terms containing schematic vars.
mengj
parents: 19153
diff changeset
   511
fun METAHYPS tacf n thm = SUBGOAL (metahyps_aux_tac tacf) n thm
23224
e9fb2ff046fc added CSUBGOAL;
wenzelm
parents: 23178
diff changeset
   512
  handle THM("assume: variables",_,_) => (print_vars_terms (theory_of_thm thm) (n,thm); Seq.empty)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   513
23224
e9fb2ff046fc added CSUBGOAL;
wenzelm
parents: 23178
diff changeset
   514
end;
19455
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   515
15006
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   516
(*Makes a tactic whose effect on a state is given by thmfun: thm->thm seq.*)
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   517
fun PRIMSEQ thmfun st =  thmfun st handle THM _ => Seq.empty;
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   518
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   519
(*Makes a tactic whose effect on a state is given by thmfun: thm->thm.*)
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   520
fun PRIMITIVE thmfun = PRIMSEQ (Seq.single o thmfun);
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   521
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   522
(* Inverse (more or less) of PRIMITIVE *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   523
fun SINGLE tacf = Option.map fst o Seq.pull o tacf
19455
d828bfab05af cleaned up some diagnostic mathom
haftmann
parents: 19229
diff changeset
   524
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   525
end;
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   526
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   527
open Tactical;