src/Tools/isac/Interpret/script.sml
author Walther Neuper <neuper@ist.tugraz.at>
Thu, 14 Jul 2011 09:33:57 +0200
branchdecompose-isar
changeset 42082 2556b7865f9b
parent 42023 927cb6806af1
child 42092 1a6d6089e594
permissions -rw-r--r--
added ADDTESTS/course/ml_quickstart/ML2_Functions.thy

CAUTION: intermed. state in testing, NOT error-free !!!
     1 (* interpreter for scripts
     2    (c) Walther Neuper 2000
     3 
     4 use"ME/script.sml";
     5 use"script.sml";
     6 *)
     7 signature INTERPRETER =
     8 sig
     9   (*type ets (list of executed tactics) see sequent.sml*)
    10 
    11   datatype locate
    12     = NotLocatable
    13     | Steps of (tac_ * mout * ptree * pos' * cid * safe (* ets*)) list
    14 (*    | ToDo of ets 28.4.02*)
    15 
    16   (*diss: next-tactic-function*)
    17   val next_tac : theory' -> ptree * pos' -> metID -> scr -> ets -> tac_
    18   (*diss: locate-function*)
    19   val locate_gen : theory'
    20                    -> tac_
    21                       -> ptree * pos' -> scr * rls -> ets -> loc_ -> locate
    22 
    23   val sel_rules : ptree -> pos' -> tac list
    24   val init_form : scr -> ets -> loc_ * term option (*FIXME not up to date*)
    25   val formal_args : term -> term list
    26 
    27   (*shift to library ...*)
    28   val inst_abs : theory' -> term -> term
    29   val itms2args : metID -> itm list -> term list
    30   val user_interrupt : loc_ * (tac_ * env * env * term * term * safe)
    31   (*val empty : term*) 
    32 end 
    33 
    34 
    35 
    36 
    37 (*
    38 structure Interpreter : INTERPRETER =
    39 struct
    40 *)
    41 
    42 (*.traces the leaves (ie. non-tactical nodes) of the script
    43    found by next_tac.
    44    a leaf is either a tactic or an 'exp' in 'let v = expr'
    45    where 'exp' does not contain a tactic.*)   
    46 val trace_script = Unsynchronized.ref false;
    47 
    48 type step =     (*data for creating a new node in the ptree;
    49 		 designed for use:
    50                	 fun ass* scrstate steps =
    51                	 ... case ass* scrstate steps of
    52                	     Assoc (scrstate, steps) => ... ass* scrstate steps*)
    53     tac_       (*transformed from associated tac*)
    54     * mout       (*result with indentation etc.*)
    55     * ptree      (*containing node created by tac_ + resp. scrstate*)
    56     * pos'       (*position in ptree; ptree * pos' is the proofstate*)
    57     * pos' list; (*of ptree-nodes probably cut (by fst tac_)*)
    58 val e_step = (Empty_Tac_, EmptyMout, EmptyPtree, e_pos',[]:pos' list):step;
    59 
    60 fun rule2thm' (Thm (id, thm)) = (id, string_of_thmI thm):thm'
    61   | rule2thm' r = error ("rule2thm': not defined for "^(rule2str r));
    62 fun rule2rls' (Rls_ rls) = id_rls rls
    63   | rule2rls' r = error ("rule2rls': not defined for "^(rule2str r));
    64 
    65 (*.makes a (rule,term) list to a Step (m, mout, pt', p', cid) for solve;
    66    complicated with current t in rrlsstate.*)
    67 fun rts2steps steps ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa)) [(r, (f', am))] =
    68       let
    69         val thy = assoc_thy thy'
    70         val ctxt = get_ctxt pt p |> insert_assumptions am
    71 	      val m = Rewrite' (thy', ro, er, pa, rule2thm' r, f, (f', am))
    72 	      val is = RrlsState (f', f'', rss, rts)
    73 	      val p = case p of (p',Frm) => p | (p',Res) => (lev_on p',Res)
    74 	      val (p', cid, mout, pt') = generate1 thy m (is, ctxt) p pt
    75       in (is, (m, mout, pt', p', cid) :: steps) end
    76   | rts2steps steps ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa)) ((r, (f', am))::rts') =
    77       let
    78         val thy = assoc_thy thy'
    79         val ctxt = get_ctxt pt p |> insert_assumptions am
    80 	      val m = Rewrite' (thy',ro,er,pa, rule2thm' r, f, (f', am))
    81 	      val is = RrlsState (f',f'',rss,rts)
    82 	      val p = case p of (p',Frm) => p | (p',Res) => (lev_on p',Res)
    83 	      val (p', cid, mout, pt') = generate1 thy m (is, ctxt) p pt
    84       in rts2steps ((m, mout, pt', p', cid)::steps) 
    85 		    ((pt',p'),(f',f'',rss,rts),(thy',ro,er,pa)) rts' end;
    86 
    87 (*. functions for the environment stack .*)
    88 fun accessenv id es = the (assoc((top es):env, id))
    89     handle _ => error ("accessenv: "^(free2str id)^" not in env");
    90 fun updateenv id vl (es:env stack) = 
    91     (push (overwrite(top es, (id, vl))) (pop es)):env stack;
    92 fun pushenv id vl (es:env stack) = 
    93     (push (overwrite(top es, (id, vl))) es):env stack;
    94 val popenv = pop:env stack -> env stack;
    95 
    96 
    97 
    98 fun de_esc_underscore str =
    99   let fun scan [] = []
   100 	| scan (s::ss) = if s = "'" then (scan ss)
   101 			 else (s::(scan ss))
   102   in (implode o scan o Symbol.explode) str end;
   103 (*
   104 > val str = "Rewrite_Set_Inst";
   105 > val esc = esc_underscore str;
   106 val it = "Rewrite'_Set'_Inst" : string
   107 > val des = de_esc_underscore esc;
   108  val des = de_esc_underscore esc;*)
   109 
   110 (*go at a location in a script and fetch the contents*)
   111 fun go [] t = t
   112   | go (D::p) (Abs(s,ty,t0)) = go (p:loc_) t0
   113   | go (L::p) (t1 $ t2) = go p t1
   114   | go (R::p) (t1 $ t2) = go p t2
   115   | go l _ = error ("go: no "^(loc_2str l));
   116 (*
   117 > val t = (term_of o the o (parse thy)) "a+b";
   118 val it = Const (#,#) $ Free (#,#) $ Free ("b","RealDef.real") : term
   119 > val plus_a = go [L] t; 
   120 > val b = go [R] t; 
   121 > val plus = go [L,L] t; 
   122 > val a = go [L,R] t;
   123 
   124 > val t = (term_of o the o (parse thy)) "a+b+c";
   125 val t = Const (#,#) $ (# $ # $ Free #) $ Free ("c","RealDef.real") : term
   126 > val pl_pl_a_b = go [L] t; 
   127 > val c = go [R] t; 
   128 > val a = go [L,R,L,R] t; 
   129 > val b = go [L,R,R] t; 
   130 *)
   131 
   132 
   133 (* get a subterm t with test t, and record location *)
   134 fun get l test (t as Const (s,T)) = 
   135     if test t then SOME (l,t) else NONE
   136   | get l test (t as Free (s,T)) = 
   137     if test t then SOME (l,t) else NONE 
   138   | get l test (t as Bound n) =
   139     if test t then SOME (l,t) else NONE 
   140   | get l test (t as Var (s,T)) =
   141     if test t then SOME (l,t) else NONE
   142   | get l test (t as Abs (s,T,body)) =
   143     if test t then SOME (l:loc_,t) else get ((l@[D]):loc_) test body
   144   | get l test (t as t1 $ t2) =
   145     if test t then SOME (l,t) 
   146     else case get (l@[L]) test t1 of 
   147       NONE => get (l@[R]) test t2
   148     | SOME (l',t') => SOME (l',t');
   149 (*18.6.00
   150 > val sss = ((term_of o the o (parse thy))
   151   "Script Solve_root_equation (eq_::bool) (v_::real) (err_::bool) =\
   152    \ (let e_ = Try (Rewrite square_equation_left True eq_) \
   153    \  in [e_])");
   154           ______ compares head_of !!
   155 > get [] (eq_str "HOL.Let") sss;            [R]
   156 > get [] (eq_str "Script.Try") sss;     [R,L,R]
   157 > get [] (eq_str "Script.Rewrite") sss; [R,L,R,R]
   158 > get [] (eq_str "HOL.True") sss;           [R,L,R,R,L,R]
   159 > get [] (eq_str "e_") sss;             [R,R]
   160 *)
   161 
   162 fun test_negotiable t = 
   163     member op = (!negotiable) 
   164            ((strip_thy o (term_str (Thy_Info.get_theory "Script")) o head_of) t);
   165 
   166 (*.get argument of first stactic in a script for init_form.*)
   167 fun get_stac thy (h $ body) =
   168   let
   169     fun get_t y (Const ("Script.Seq",_) $ e1 $ e2) a = 
   170     	(case get_t y e1 a of NONE => get_t y e2 a | la => la)
   171       | get_t y (Const ("Script.Seq",_) $ e1 $ e2 $ a) _ = 
   172     	(case get_t y e1 a of NONE => get_t y e2 a | la => la)
   173       | get_t y (Const ("Script.Try",_) $ e) a = get_t y e a
   174       | get_t y (Const ("Script.Try",_) $ e $ a) _ = get_t y e a
   175       | get_t y (Const ("Script.Repeat",_) $ e) a = get_t y e a
   176       | get_t y (Const ("Script.Repeat",_) $ e $ a) _ = get_t y e a
   177       | get_t y (Const ("Script.Or",_) $e1 $ e2) a =
   178     	(case get_t y e1 a of NONE => get_t y e2 a | la => la)
   179       | get_t y (Const ("Script.Or",_) $e1 $ e2 $ a) _ =
   180     	(case get_t y e1 a of NONE => get_t y e2 a | la => la)
   181       | get_t y (Const ("Script.While",_) $ c $ e) a = get_t y e a
   182       | get_t y (Const ("Script.While",_) $ c $ e $ a) _ = get_t y e a
   183       | get_t y (Const ("Script.Letpar",_) $ e1 $ Abs (_,_,e2)) a = 
   184     	(case get_t y e1 a of NONE => get_t y e2 a | la => la)
   185     (*| get_t y (Const ("HOL.Let",_) $ e1 $ Abs (_,_,e2)) a =
   186 	    (case get_t y e1 a of NONE => get_t y e2 a | la => la)
   187       | get_t y (Abs (_,_,e)) a = get_t y e a*)
   188       | get_t y (Const ("HOL.Let",_) $ e1 $ Abs (_,_,e2)) a =
   189     	get_t y e1 a (*don't go deeper without evaluation !*)
   190       | get_t y (Const ("If",_) $ c $ e1 $ e2) a = NONE
   191     	(*(case get_t y e1 a of NONE => get_t y e2 a | la => la)*)
   192     
   193       | get_t y (Const ("Script.Rewrite",_) $ _ $ _ $ a) _ = SOME a
   194       | get_t y (Const ("Script.Rewrite",_) $ _ $ _    ) a = SOME a
   195       | get_t y (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ $ a) _ = SOME a
   196       | get_t y (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ )    a = SOME a
   197       | get_t y (Const ("Script.Rewrite'_Set",_) $ _ $ _ $ a) _ = SOME a
   198       | get_t y (Const ("Script.Rewrite'_Set",_) $ _ $ _ )    a = SOME a
   199       | get_t y (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ $a)_ =SOME a
   200       | get_t y (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ )  a =SOME a
   201       | get_t y (Const ("Script.Calculate",_) $ _ $ a) _ = SOME a
   202       | get_t y (Const ("Script.Calculate",_) $ _ )    a = SOME a
   203     
   204       | get_t y (Const ("Script.Substitute",_) $ _ $ a) _ = SOME a
   205       | get_t y (Const ("Script.Substitute",_) $ _ )    a = SOME a
   206     
   207       | get_t y (Const ("Script.SubProblem",_) $ _ $ _) _ = NONE
   208 
   209       | get_t y x _ =  
   210 	((*tracing ("### get_t yac: list-expr "^(term2str x));*)
   211 	 NONE)
   212 in get_t thy body e_term end;
   213     
   214 (*FIXME: get 1st stac by next_stac [] instead of ... ?? 29.7.02*)
   215 (* val Script sc = scr;
   216    *)
   217 fun init_form thy (Script sc) env =
   218   (case get_stac thy sc of
   219      NONE => NONE 
   220              (*error ("init_form: no 1st stac in "^
   221 	      (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy)) sc))*)
   222    | SOME stac => SOME (subst_atomic env stac))
   223   | init_form _ _ _ = error "init_form: no match";
   224 
   225 (* use"ME/script.sml";
   226    use"script.sml";
   227    *)
   228 
   229 
   230 
   231 (*the 'iteration-argument' of a stac (args not eval)*)
   232 fun itr_arg _ (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ $ v) = v
   233   | itr_arg _ (Const ("Script.Rewrite",_) $ _ $ _ $ v) = v
   234   | itr_arg _ (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ $ v) = v
   235   | itr_arg _ (Const ("Script.Rewrite'_Set",_) $ _ $ _ $ v) = v
   236   | itr_arg _ (Const ("Script.Calculate",_) $ _ $ v) = v
   237   | itr_arg _ (Const ("Script.Check'_elementwise",_) $ consts $ _) = consts
   238   | itr_arg _ (Const ("Script.Or'_to'_List",_) $ _) = e_term
   239   | itr_arg _ (Const ("Script.Tac",_) $ _) = e_term
   240   | itr_arg _ (Const ("Script.SubProblem",_) $ _ $ _) = e_term
   241   | itr_arg thy t = error 
   242     ("itr_arg not impl. for " ^
   243     (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt (assoc_thy thy))) t));
   244 (* val t = (term_of o the o (parse thy))"Rewrite rroot_square_inv False e_";
   245 > itr_arg "Script" t;
   246 val it = Free ("e_","RealDef.real") : term 
   247 > val t = (term_of o the o (parse thy))"xxx";
   248 > itr_arg "Script" t;
   249 *** itr_arg not impl. for xxx
   250 uncaught exception ERROR
   251   raised at: library.ML:1114.35-1114.40*)
   252 
   253 
   254 (*.get the arguments of the script out of the scripts parsetree.*)
   255 fun formal_args scr = (fst o split_last o snd o strip_comb) scr;
   256 (*
   257 > formal_args scr;
   258   [Free ("f_","RealDef.real"),Free ("v_","RealDef.real"),
   259    Free ("eqs_","bool List.list")] : term list
   260 *)
   261 
   262 (*.get the identifier of the script out of the scripts parsetree.*)
   263 fun id_of_scr sc = (id_of o fst o strip_comb) sc;
   264 
   265 (*WN020526: not clear, when a is available in ass_up for eva-_true*)
   266 (*WN060906: in "fun handle_leaf" eg. uses "SOME M__"(from some PREVIOUS
   267   curried Rewrite) for CURRENT value (which may be different from PREVIOUS);
   268   thus "NONE" must be set at the end of currying (ill designed anyway)*)
   269 fun upd_env_opt env (SOME a, v) = upd_env env (a,v)
   270   | upd_env_opt env (NONE, v) = 
   271       (tracing ("*** upd_env_opt: (NONE," ^ term2str v ^ ")"); env);
   272 
   273 type dsc = typ; (*<-> nam..unknow in Descript.thy*)
   274 fun typ_str (Type (s,_)) = s
   275   | typ_str (TFree(s,_)) = s
   276   | typ_str (TVar ((s,i),_)) = s ^ (string_of_int i);
   277 	     
   278 (*get the _result_-type of a description*)
   279 fun dsc_valT (Const (_,(Type (_,[_,T])))) = (strip_thy o typ_str) T;
   280 (*> val t = (term_of o the o (parse thy)) "equality";
   281 > val T = type_of t;
   282 val T = "bool => Tools.una" : typ
   283 > val dsc = dsc_valT t;
   284 val dsc = "una" : string
   285 
   286 > val t = (term_of o the o (parse thy)) "fixedValues";
   287 > val T = type_of t;
   288 val T = "bool List.list => Tools.nam" : typ
   289 > val dsc = dsc_valT t;
   290 val dsc = "nam" : string*)
   291 
   292 (*.from penv in itm_ make args for script depending on type of description.*)
   293 (*6.5.03 TODO: push penv into script -- and drop mk_arg here || drop penv
   294   9.5.03 penv postponed: penv = env for script at the moment, (*mk_arg*)*)
   295 fun mk_arg thy d [] = 
   296     error ("mk_arg: no data for " ^
   297 	   (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy)) d))
   298   | mk_arg thy d [t] = 
   299     (case dsc_valT d of
   300 	 "una" => [t]
   301        | "nam" => 
   302 	 [case t of
   303 	      r as (Const ("HOL.eq",_) $ _ $ _) => r
   304 	    | _ => error ("mk_arg: dsc-typ 'nam' applied to non-equality "^
   305 		     (Print_Mode.setmp [] (Syntax.string_of_term
   306                                                (thy2ctxt thy)) t))]
   307        | s => error ("mk_arg: not impl. for "^s))
   308     
   309   | mk_arg thy d (t::ts) = (mk_arg thy d [t]) @ (mk_arg thy d ts);
   310 (* 
   311  val d = d_in itm_;
   312  val [t] = ts_in itm_;
   313 mk_arg thy
   314 *)
   315 
   316 
   317 
   318 
   319 (*.create the actual parameters (args) of script: their order 
   320   is given by the order in met.pat .*)
   321 (*WN.5.5.03: ?: does this allow for different descriptions ???
   322              ?: why not taken from formal args of script ???
   323 !: FIXXXME penv: push it here in itms2args into script-evaluation*)
   324 (* val (thy, mI, itms) = (thy, metID, itms);
   325    *)
   326 fun itms2args thy mI (itms:itm list) =
   327     let val mvat = max_vt itms
   328 	fun okv mvat (_,vats,b,_,_) = member op = vats mvat andalso b
   329 	val itms = filter (okv mvat) itms
   330 	fun test_dsc d (_,_,_,_,itm_) = (d = d_in itm_)
   331 	fun itm2arg itms (_,(d,_)) =
   332 	    case find_first (test_dsc d) itms of
   333 		NONE => 
   334 		error ("itms2args: '"^term2str d^"' not in itms")
   335 	      (*| SOME (_,_,_,_,itm_) => mk_arg thy (d_in itm_) (ts_in itm_);
   336                penv postponed; presently penv holds already env for script*)
   337 	      | SOME (_,_,_,_,itm_) => penvval_in itm_
   338 	fun sel_given_find (s,_) = (s = "#Given") orelse (s = "#Find")
   339 	val pats = (#ppc o get_met) mI
   340     in (flat o (map (itm2arg itms))) pats end;
   341 (*
   342 > val sc = ... Solve_root_equation ...
   343 > val mI = ("Script","sqrt-equ-test");
   344 > val PblObj{meth={ppc=itms,...},...} = get_obj I pt [];
   345 > val ts = itms2args thy mI itms;
   346 > map (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy))) ts;
   347 ["sqrt (#9 + #4 * x) = sqrt x + sqrt (#5 + x)","x","#0"] : string list
   348 *)
   349 
   350 
   351 (*["BOOL (1+x=2)","REAL x"] --match_ags--> oris 
   352   --oris2fmz_vals--> ["equality (1+x=2)","boundVariable x","solutions L"]*)
   353 fun oris2fmz_vals oris =
   354     let fun ori2fmz_vals ((_,_,_,dsc,ts):ori) = 
   355 	    ((term2str o comp_dts') (dsc, ts), last_elem ts) 
   356 	    handle _ => error ("ori2fmz_env called with "^terms2str ts)
   357     in (split_list o (map ori2fmz_vals)) oris end;
   358 
   359 (*detour necessary, because generate1 delivers a string-result*)
   360 fun mout2term thy (Form' (FormKF (_,_,_,_,res))) = 
   361   (term_of o the o (parse (assoc_thy thy))) res
   362   | mout2term thy (Form' (PpcKF _)) = e_term;(*3.8.01: res of subpbl 
   363 					   at time of detection in script*)
   364 
   365 (*.convert a script-tac 'stac' to a tactic 'tac'; if stac is an initac,
   366    then convert to a 'tac_' (as required in appy).
   367    arg pt:ptree for pushing the thy specified in rootpbl into subpbls.*)
   368 fun stac2tac_ pt thy (Const ("Script.Rewrite",_) $ Free (thmID,_) $ _ $ f) =
   369       let
   370         val tid = (de_esc_underscore o strip_thy) thmID
   371       in (Rewrite (tid, (string_of_thmI o (assoc_thm' thy)) (tid,"")), Empty_Tac_)
   372       end
   373 
   374   | stac2tac_ pt thy (Const ("Script.Rewrite'_Inst",_) $ sub $ Free (thmID,_) $ _ $ f) =
   375       let
   376         val subML = ((map isapair2pair) o isalist2list) sub
   377         val subStr = subst2subs subML
   378         val tid = (de_esc_underscore o strip_thy) thmID (*4.10.02 unnoetig*)
   379       in (Rewrite_Inst (subStr, (tid, (string_of_thmI o (assoc_thm' thy)) (tid,""))), Empty_Tac_)
   380       end
   381       
   382   | stac2tac_ pt thy (Const ("Script.Rewrite'_Set",_) $ Free (rls,_) $ _ $ f) =
   383       (Rewrite_Set ((de_esc_underscore o strip_thy) rls), Empty_Tac_)
   384 
   385   | stac2tac_ pt thy (Const ("Script.Rewrite'_Set'_Inst",_) $ sub $ Free (rls,_) $ _ $ f) =
   386       let
   387         val subML = ((map isapair2pair) o isalist2list) sub;
   388         val subStr = subst2subs subML;
   389       in (Rewrite_Set_Inst (subStr,rls), Empty_Tac_) end
   390 
   391   | stac2tac_ pt thy (Const ("Script.Calculate",_) $ Free (op_,_) $ f) =
   392       (Calculate op_, Empty_Tac_)
   393 
   394   | stac2tac_ pt thy (Const ("Script.Take",_) $ t) =
   395       (Take (term2str t), Empty_Tac_)
   396 
   397   | stac2tac_ pt thy (Const ("Script.Substitute",_) $ isasub $ arg) =
   398       (Substitute ((subte2sube o isalist2list) isasub), Empty_Tac_)
   399 
   400   | stac2tac_ pt thy (Const("Script.Check'_elementwise",_) $ _ $ 
   401 		(set as Const ("Set.Collect",_) $ Abs (_,_,pred))) = 
   402       (Check_elementwise (Print_Mode.setmp [] (Syntax.string_of_term 
   403                           (thy2ctxt thy)) pred), (*set*)Empty_Tac_)
   404 
   405   | stac2tac_ pt thy (Const("Script.Or'_to'_List",_) $ _ ) = 
   406       (Or_to_List, Empty_Tac_)
   407 
   408     (*12.1.01.for subproblem_equation_dummy in root-equation *)
   409   | stac2tac_ pt thy (Const ("Script.Tac",_) $ Free (str,_)) = 
   410       (Tac ((de_esc_underscore o strip_thy) str),  Empty_Tac_) 
   411 
   412     (*compare "| assod _ (Subproblem'"*)
   413   | stac2tac_ pt thy (stac as Const ("Script.SubProblem",_) $
   414 	  (Const ("Product_Type.Pair",_) $Free (dI',_) $ 
   415 		 (Const ("Product_Type.Pair",_) $ pI' $ mI')) $ ags') =
   416       let
   417         val dI = ((implode o drop_last(*.."'"*) o Symbol.explode) dI')(*^""*);
   418         val thy = maxthy (assoc_thy dI) (rootthy pt);
   419 	      val pI = ((map (de_esc_underscore o free2str)) o isalist2list) pI';
   420 	      val mI = ((map (de_esc_underscore o free2str)) o isalist2list) mI';
   421 	      val ags = isalist2list ags';
   422 	      val (pI, pors, mI) = 
   423 	        if mI = ["no_met"] 
   424 	        then
   425             let
   426               val pors = (match_ags thy ((#ppc o get_pbt) pI) ags)
   427 			          handle ERROR "actual args do not match formal args" 
   428 				        => (match_ags_msg pI stac ags(*raise exn*); [])
   429 		          val pI' = refine_ori' pors pI;
   430 		        in (pI', pors (*refinement over models with diff.prec only*), 
   431 		            (hd o #met o get_pbt) pI') end
   432 	        else (pI, (match_ags thy ((#ppc o get_pbt) pI) ags)
   433 		        handle ERROR "actual args do not match formal args"
   434 			      => (match_ags_msg pI stac ags(*raise exn*); []), mI);
   435         val (fmz_, vals) = oris2fmz_vals pors;
   436 	      val {cas,ppc,thy,...} = get_pbt pI
   437 	      val dI = theory2theory' thy (*.take dI from _refined_ pbl.*)
   438 	      val dI = theory2theory' (maxthy (assoc_thy dI) (rootthy pt));
   439         val ctxt = ProofContext.init_global 
   440         val ctxt = dI |> Thy_Info.get_theory |> ProofContext.init_global 
   441           |> declare_constraints' vals
   442 	      val hdl =
   443           case cas of
   444 		        NONE => pblterm dI pI
   445 		      | SOME t => subst_atomic ((vars_of_pbl_' ppc) ~~~ vals) t
   446         val f = subpbl (strip_thy dI) pI
   447       in (Subproblem (dI, pI),	Subproblem' ((dI, pI, mI), pors, hdl, fmz_, ctxt, f))
   448       end
   449 
   450   | stac2tac_ pt thy t = error 
   451   ("stac2tac_ TODO: no match for " ^
   452    (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy)) t));
   453 
   454 fun stac2tac pt thy t = (fst o stac2tac_ pt thy) t;
   455 
   456 (*test a term for being a _list_ (set ?) of constants; could be more rigorous*)
   457 fun list_of_consts (Const ("List.list.Cons",_) $ _ $ _) = true
   458   | list_of_consts (Const ("List.list.Nil",_)) = true
   459   | list_of_consts _ = false;
   460 (*val ttt = (term_of o the o (parse thy)) "[x=#1,x=#2,x=#3]";
   461 > list_of_consts ttt;
   462 val it = true : bool
   463 > val ttt = (term_of o the o (parse thy)) "[]";
   464 > list_of_consts ttt;
   465 val it = true : bool*)
   466 
   467 
   468 
   469 datatype ass = 
   470     Ass of
   471       tac_ *   (* SubProblem gets args instantiated in assod *)
   472   	  term     (* for itr_arg, result in ets *)
   473   | AssWeak of
   474       tac_ *
   475   	  term     (*for itr_arg,result in ets*)
   476   | NotAss;
   477 
   478 (*.assod: tac_ associated with stac w.r.t. d
   479 args
   480  pt:ptree for pushing the thy specified in rootpbl into subpbls
   481 returns
   482  Ass    : associated: e.g. thmID in stac = thmID in m
   483                        +++ arg   in stac = arg   in m
   484  AssWeak: weakly ass.:e.g. thmID in stac = thmID in m, //arg//
   485  NotAss :             e.g. thmID in stac/=/thmID in m (not =)
   486 8.01:
   487  tac_ SubProblem with args completed from script
   488 .*)
   489 fun assod pt d (m as Rewrite_Inst' (thy',rod,rls,put,subs,(thmID,thm),f,(f',asm))) stac =
   490       (case stac of
   491 	       (Const ("Script.Rewrite'_Inst",_) $ subs_ $ Free (thmID_,idT) $b$f_) =>
   492 	          if thmID = thmID_
   493             then 
   494 	            if f = f_ 
   495               then ((*tracing"3### assod ..Ass";*)Ass (m,f')) 
   496 	            else ((*tracing"3### assod ..AssWeak";*)AssWeak(m, f'))
   497 	          else ((*tracing"3### assod ..NotAss";*)NotAss)
   498        | (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free (rls_,_) $_$f_) =>
   499 	          if contains_rule (Thm (thmID, refl(*dummy*))) (assoc_rls rls_)
   500             then 
   501 	            if f = f_ then Ass (m,f') else AssWeak (m,f')
   502 	          else NotAss
   503        | _ => NotAss)
   504 
   505   | assod pt d (m as Rewrite' (thy,rod,rls,put,(thmID,thm),f,(f',asm))) stac =
   506       (case stac of
   507 	       (t as Const ("Script.Rewrite",_) $ Free (thmID_,idT) $ b $ f_) =>
   508 	         ((*tracing ("3### assod: stac = " ^ ter2str t);
   509 	          tracing ("3### assod: f(m)= " ^ term2str f);*)
   510 	          if thmID = thmID_
   511             then 
   512 	            if f = f_
   513               then ((*tracing"3### assod ..Ass";*)Ass (m,f')) 
   514 	            else 
   515                 ((*tracing"### assod ..AssWeak";
   516 		             tracing("### assod: f(m)  = " ^ term2str f);
   517 		             tracing("### assod: f(stac)= " ^ term2str f_)*)
   518 		             AssWeak (m,f'))
   519 	          else ((*tracing"3### assod ..NotAss";*)NotAss))
   520        | (Const ("Script.Rewrite'_Set",_) $ Free (rls_,_) $ _ $ f_) =>
   521 	          if contains_rule (Thm (thmID, refl(*dummy*))) (assoc_rls rls_)
   522             then
   523 	            if f = f_ then Ass (m,f') else AssWeak (m,f')
   524 	          else NotAss
   525        | _ => NotAss)
   526 
   527   | assod pt d (m as Rewrite_Set_Inst' (thy',put,sub,rls,f,(f',asm))) 
   528     (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free (rls_,_) $ _ $ f_) = 
   529       if id_rls rls = rls_ 
   530       then 
   531         if f = f_ then Ass (m,f') else AssWeak (m,f')
   532       else NotAss
   533 
   534   | assod pt d (m as Detail_Set_Inst' (thy',put,sub,rls,f,(f',asm))) 
   535     (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free (rls_,_) $ _ $ f_) = 
   536       if id_rls rls = rls_
   537       then 
   538         if f = f_ then Ass (m,f') else AssWeak (m,f')
   539       else NotAss
   540 
   541   | assod pt d (m as Rewrite_Set' (thy,put,rls,f,(f',asm))) 
   542     (Const ("Script.Rewrite'_Set",_) $ Free (rls_,_) $ _ $ f_) = 
   543       if id_rls rls = rls_
   544       then 
   545         if f = f_ then Ass (m,f') else AssWeak (m,f')
   546       else NotAss
   547 
   548   | assod pt d (m as Detail_Set' (thy,put,rls,f,(f',asm))) 
   549     (Const ("Script.Rewrite'_Set",_) $ Free (rls_,_) $ _ $ f_) = 
   550       if id_rls rls = rls_
   551       then 
   552         if f = f_ then Ass (m,f') else AssWeak (m,f')
   553       else NotAss
   554 
   555   | assod pt d (m as Calculate' (thy',op_,f,(f',thm'))) stac =
   556       (case stac of
   557 	       (Const ("Script.Calculate",_) $ Free (op__,_) $ f_) =>
   558 	         if op_ = op__
   559            then
   560 	           if f = f_ then Ass (m,f') else AssWeak (m,f')
   561 	         else NotAss
   562        | (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free(rls_,_) $_$f_)  => 
   563 	         if contains_rule (Calc (snd (assoc1 (!calclist', op_)))) (assoc_rls rls_)
   564            then
   565 	           if f = f_ then Ass (m,f') else AssWeak (m,f')
   566 	         else NotAss
   567        | (Const ("Script.Rewrite'_Set",_) $ Free (rls_, _) $ _ $ f_) =>
   568 	         if contains_rule (Calc (snd (assoc1 (!calclist', op_)))) (assoc_rls rls_)
   569            then
   570 	           if f = f_ then Ass (m,f') else AssWeak (m,f')
   571 	         else NotAss
   572        | _ => NotAss)
   573 
   574   | assod pt _ (m as Check_elementwise' (consts,_,(consts_chkd,_)))
   575     (Const ("Script.Check'_elementwise",_) $ consts' $ _) =
   576       ((*tracing("### assod Check'_elementwise: consts= "^(term2str consts)^
   577 	     ", consts'= "^(term2str consts'));
   578        atomty consts; atomty consts';*)
   579        if consts = consts'
   580        then ((*tracing"### assod Check'_elementwise: Ass";*) Ass (m, consts_chkd))
   581        else ((*tracing"### assod Check'_elementwise: NotAss";*) NotAss))
   582 
   583   | assod pt _ (m as Or_to_List' (ors, list)) (Const ("Script.Or'_to'_List",_) $ _) =
   584 	    Ass (m, list) 
   585 
   586   | assod pt _ (m as Take' term) (Const ("Script.Take",_) $ _) =
   587 	    Ass (m, term)
   588 
   589   | assod pt _ (m as Substitute' (_, _, res)) (Const ("Script.Substitute",_) $ _ $ _) =
   590 	    Ass (m, res) 
   591 
   592   | assod pt _ (m as Tac_ (thy,f,id,f')) (Const ("Script.Tac",_) $ Free (id',_)) =
   593       if id = id'
   594       then Ass (m, ((term_of o the o (parse thy)) f'))
   595       else NotAss
   596 
   597     (*compare "| stac2tac_ thy (Const ("Script.SubProblem",_)"*)
   598   | assod pt _ (Subproblem' ((domID,pblID,metID),_,_,_,_,f))
   599 	  (stac as Const ("Script.SubProblem",_) $ (Const ("Product_Type.Pair",_) $
   600 		 Free (dI',_) $ (Const ("Product_Type.Pair",_) $ pI' $ mI')) $ ags') =
   601       let 
   602         val dI = ((implode o drop_last(*.."'"*) o Symbol.explode) dI')(*^""*);
   603         val thy = maxthy (assoc_thy dI) (rootthy pt);
   604 	      val pI = ((map (de_esc_underscore o free2str)) o isalist2list) pI';
   605 	      val mI = ((map (de_esc_underscore o free2str)) o isalist2list) mI';
   606 	      val ags = isalist2list ags';
   607 	      val (pI, pors, mI) = 
   608 	        if mI = ["no_met"] 
   609 	        then
   610             let
   611               val pors = (match_ags thy ((#ppc o get_pbt) pI) ags)
   612 			          handle ERROR "actual args do not match formal args"
   613 				        => (match_ags_msg pI stac ags(*raise exn*);[]);
   614 		          val pI' = refine_ori' pors pI;
   615 		        in (pI', pors (*refinement over models with diff.prec only*), 
   616 		            (hd o #met o get_pbt) pI')
   617             end
   618 	        else (pI, (match_ags thy ((#ppc o get_pbt) pI) ags)
   619 		        handle ERROR "actual args do not match formal args"
   620 			      => (match_ags_msg pI stac ags(*raise exn*);[]), mI);
   621         val (fmz_, vals) = oris2fmz_vals pors;
   622 	      val {cas, ppc, thy,...} = get_pbt pI
   623 	      val dI = theory2theory' thy (*take dI from _refined_ pbl*)
   624 	      val dI = theory2theory' (maxthy (assoc_thy dI) (rootthy pt))
   625 	      val ctxt = dI |> Thy_Info.get_theory |> ProofContext.init_global 
   626           |> declare_constraints' vals
   627 	      val hdl = 
   628           case cas of
   629 		        NONE => pblterm dI pI
   630 		      | SOME t => subst_atomic ((vars_of_pbl_' ppc) ~~~ vals) t
   631         val f = subpbl (strip_thy dI) pI
   632       in 
   633         if domID = dI andalso pblID = pI
   634         then Ass (Subproblem' ((dI, pI, mI), pors, hdl, fmz_, ctxt, f), f) 
   635         else NotAss
   636       end
   637 
   638   | assod pt d m t = 
   639       (if (!trace_script) 
   640        then tracing("@@@ the 'tac_' proposed to apply does NOT match the leaf found in the script:\n"^
   641 		     "@@@ tac_ = "^(tac_2str m))
   642        else ();
   643        NotAss);
   644 
   645 fun tac_2tac (Refine_Tacitly' (pI,_,_,_,_)) = Refine_Tacitly pI
   646   | tac_2tac (Model_Problem' (pI,_,_))      = Model_Problem
   647   | tac_2tac (Add_Given' (t,_))             = Add_Given t
   648   | tac_2tac (Add_Find' (t,_))              = Add_Find t
   649   | tac_2tac (Add_Relation' (t,_))          = Add_Relation t
   650  
   651   | tac_2tac (Specify_Theory' dI)           = Specify_Theory dI
   652   | tac_2tac (Specify_Problem' (dI,_))      = Specify_Problem dI
   653   | tac_2tac (Specify_Method' (dI,_,_))     = Specify_Method dI
   654   
   655   | tac_2tac (Rewrite' (thy,rod,erls,put,(thmID,thm),f,(f',asm))) = Rewrite (thmID,thm)
   656 
   657   | tac_2tac (Rewrite_Inst' (thy,rod,erls,put,sub,(thmID,thm),f,(f',asm)))=
   658       Rewrite_Inst (subst2subs sub,(thmID,thm))
   659 
   660   | tac_2tac (Rewrite_Set' (thy,put,rls,f,(f',asm))) = Rewrite_Set (id_rls rls)
   661   | tac_2tac (Detail_Set' (thy,put,rls,f,(f',asm))) = Detail_Set (id_rls rls)
   662 
   663   | tac_2tac (Rewrite_Set_Inst' (thy,put,sub,rls,f,(f',asm))) = 
   664       Rewrite_Set_Inst (subst2subs sub,id_rls rls)
   665   | tac_2tac (Detail_Set_Inst' (thy,put,sub,rls,f,(f',asm))) = 
   666       Detail_Set_Inst (subst2subs sub,id_rls rls)
   667 
   668   | tac_2tac (Calculate' (thy,op_,t,(t',thm'))) = Calculate (op_)
   669 
   670   | tac_2tac (Check_elementwise' (consts,pred,consts')) = Check_elementwise pred
   671 
   672   | tac_2tac (Or_to_List' _) = Or_to_List
   673   | tac_2tac (Take' term) = Take (term2str term)
   674   | tac_2tac (Substitute' (subte, t, res)) = Substitute (subte2sube subte) 
   675 
   676   | tac_2tac (Tac_ (_,f,id,f')) = Tac id
   677 
   678   | tac_2tac (Subproblem' ((domID, pblID, _), _, _, _,_ ,_)) = Subproblem (domID, pblID)
   679   | tac_2tac (Check_Postcond' (pblID, _)) = Check_Postcond pblID
   680   | tac_2tac Empty_Tac_ = Empty_Tac
   681   | tac_2tac m = 
   682       error ("tac_2tac: not impl. for "^(tac_2str m));
   683 
   684 
   685 
   686 
   687 (** decompose tac_ to a rule and to (lhs,rhs)
   688     unly needed                          --- **)
   689 
   690 val idT = Type ("Script.ID",[]);
   691 (*val tt = (term_of o the o (parse thy)) "square_equation_left::ID";
   692 type_of tt = idT;
   693 val it = true : bool
   694 *)
   695 
   696 fun make_rule thy t =
   697   let val ct = cterm_of thy (Trueprop $ t)
   698   in Thm (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy))
   699                            (term_of ct), make_thm ct) end;
   700 
   701 (* val (Rewrite_Inst'(thy',rod,rls,put,subs,(thmID,thm),f,(f',asm)))=m;
   702    *)
   703 (*decompose tac_ to a rule and to (lhs,rhs) for ets FIXME.12.03: obsolete!
   704  NOTE.12.03: also used for msg 'not locatable' ?!: 'Subproblem' missing !!!
   705 WN0508 only use in tac_2res, which uses only last return-value*)
   706 fun rep_tac_ (Rewrite_Inst' 
   707 		 (thy',rod,rls,put,subs,(thmID,thm),f,(f',asm))) = 
   708   let val fT = type_of f;
   709     val b = if put then HOLogic.true_const else HOLogic.false_const;
   710     val sT = (type_of o fst o hd) subs;
   711     val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))
   712       (map HOLogic.mk_prod subs);
   713     val sT' = type_of subs';
   714     val lhs = Const ("Script.Rewrite'_Inst",[sT',idT,(*fT*)bool,fT] ---> fT) 
   715       $ subs' $ Free (thmID,idT) $ b $ f;
   716   in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
   717 (*Fehlersuche 25.4.01
   718 (a)----- als String zusammensetzen:
   719 ML> term2str f; 
   720 val it = "d_d x #4 + d_d x (x ^^^ #2 + #3 * x)" : string
   721 ML> term2str f'; 
   722 val it = "#0 + d_d x (x ^^^ #2 + #3 * x)" : string
   723 ML> subs;
   724 val it = [(Free ("bdv","RealDef.real"),Free ("x","RealDef.real"))] : subst
   725 > val tt = (term_of o the o (parse thy))
   726   "(Rewrite_Inst[(bdv,x)]diff_const False(d_d x #4 + d_d x (x ^^^ #2 + #3 * x)))=(#0 + d_d x (x ^^^ #2 + #3 * x))";
   727 > atomty tt;
   728 ML> tracing (term2str tt); 
   729 (Rewrite_Inst [(bdv,x)] diff_const False d_d x #4 + d_d x (x ^^^ #2 + #3 * x)) =
   730  #0 + d_d x (x ^^^ #2 + #3 * x)
   731 
   732 (b)----- laut rep_tac_:
   733 > val ttt=HOLogic.mk_eq (lhs,f');
   734 > atomty ttt;
   735 
   736 
   737 (*Fehlersuche 1-2Monate vor 4.01:*)
   738 > val tt = (term_of o the o (parse thy))
   739   "Rewrite_Inst[(bdv,x)]square_equation_left True(x=#1+#2)";
   740 > atomty tt;
   741 
   742 > val f = (term_of o the o (parse thy)) "x=#1+#2";
   743 > val f' = (term_of o the o (parse thy)) "x=#3";
   744 > val subs = [((term_of o the o (parse thy)) "bdv",
   745 	       (term_of o the o (parse thy)) "x")];
   746 > val sT = (type_of o fst o hd) subs;
   747 > val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))
   748 			      (map HOLogic.mk_prod subs);
   749 > val sT' = type_of subs';
   750 > val lhs = Const ("Script.Rewrite'_Inst",[sT',idT,fT,fT] ---> fT) 
   751   $ subs' $ Free (thmID,idT) $ HOLogic.true_const $ f;
   752 > lhs = tt;
   753 val it = true : bool
   754 > rep_tac_ (Rewrite_Inst' 
   755 	       ("Script","tless_true","eval_rls",false,subs,
   756 		("square_equation_left",""),f,(f',[])));
   757 *)
   758   | rep_tac_ (Rewrite' (thy',rod,rls,put,(thmID,thm),f,(f',asm)))=
   759   let 
   760     val fT = type_of f;
   761     val b = if put then HOLogic.true_const else HOLogic.false_const;
   762     val lhs = Const ("Script.Rewrite",[idT,HOLogic.boolT,fT] ---> fT)
   763       $ Free (thmID,idT) $ b $ f;
   764   in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
   765 (* 
   766 > val tt = (term_of o the o (parse thy)) (*____   ____..test*)
   767   "Rewrite square_equation_left True (x=#1+#2) = (x=#3)";
   768 
   769 > val f = (term_of o the o (parse thy)) "x=#1+#2";
   770 > val f' = (term_of o the o (parse thy)) "x=#3";
   771 > val Thm (id,thm) = 
   772   rep_tac_ (Rewrite' 
   773    ("Script","tless_true","eval_rls",false,
   774     ("square_equation_left",""),f,(f',[])));
   775 > val SOME ct = parse thy   
   776   "Rewrite square_equation_left True (x=#1+#2)"; 
   777 > rewrite_ Script.thy tless_true eval_rls true thm ct;
   778 val it = SOME ("x = #3",[]) : (cterm * cterm list) option
   779 *)
   780   | rep_tac_ (Rewrite_Set_Inst' 
   781 		 (thy',put,subs,rls,f,(f',asm))) =
   782     (e_rule, (e_term, f'))
   783 (*WN050824: type error ...
   784   let val fT = type_of f;
   785     val sT = (type_of o fst o hd) subs;
   786     val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))
   787       (map HOLogic.mk_prod subs);
   788     val sT' = type_of subs';
   789     val b = if put then HOLogic.true_const else HOLogic.false_const
   790     val lhs = Const ("Script.Rewrite'_Set'_Inst",
   791 		     [sT',idT,fT,fT] ---> fT) 
   792       $ subs' $ Free (id_rls rls,idT) $ b $ f;
   793   in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end*)
   794 (* ... vals from Rewrite_Inst' ...
   795 > rep_tac_ (Rewrite_Set_Inst' 
   796 	       ("Script",false,subs,
   797 		"isolate_bdv",f,(f',[])));
   798 *)
   799 (* val (Rewrite_Set' (thy',put,rls,f,(f',asm)))=m;
   800 *)
   801   | rep_tac_ (Rewrite_Set' (thy',put,rls,f,(f',asm)))=
   802   let val fT = type_of f;
   803     val b = if put then HOLogic.true_const else HOLogic.false_const;
   804     val lhs = Const ("Script.Rewrite'_Set",[idT,bool,fT] ---> fT) 
   805       $ Free (id_rls rls,idT) $ b $ f;
   806   in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
   807 (* 13.3.01:
   808 val thy = assoc_thy thy';
   809 val t = HOLogic.mk_eq (lhs,f');
   810 make_rule thy t;
   811 --------------------------------------------------
   812 val lll = (term_of o the o (parse thy)) 
   813   "Rewrite_Set SqRoot_simplify False (d_d x (x ^^^ #2 + #3 * x) + d_d x #4)";
   814 
   815 --------------------------------------------------
   816 > val f = (term_of o the o (parse thy)) "x=#1+#2";
   817 > val f' = (term_of o the o (parse thy)) "x=#3";
   818 > val Thm (id,thm) = 
   819   rep_tac_ (Rewrite_Set' 
   820    ("Script",false,"SqRoot_simplify",f,(f',[])));
   821 val id = "(Rewrite_Set SqRoot_simplify True x = #1 + #2) = (x = #3)" : string
   822 val thm = "(Rewrite_Set SqRoot_simplify True x = #1 + #2) = (x = #3)" : thm
   823 *)
   824   | rep_tac_ (Calculate' (thy',op_,f,(f',thm')))=
   825   let val fT = type_of f;
   826     val lhs = Const ("Script.Calculate",[idT,fT] ---> fT) 
   827       $ Free (op_,idT) $ f
   828   in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
   829 (*
   830 > val lhs'=(term_of o the o (parse thy))"Calculate plus (#1+#2)";
   831   ... test-root-equ.sml: calculate ...
   832 > val Appl m'=applicable_in p pt (Calculate "PLUS");
   833 > val (lhs,_)=tac_2etac m';
   834 > lhs'=lhs;
   835 val it = true : bool*)
   836   | rep_tac_ (Check_elementwise' (t,str,(t',asm)))  = (Erule, (e_term, t'))
   837   | rep_tac_ (Subproblem' (_, _, _, _, _, t'))  = (Erule, (e_term, t'))
   838   | rep_tac_ (Take' (t'))  = (Erule, (e_term, t'))
   839   | rep_tac_ (Substitute' (subst,t,t'))  = (Erule, (t, t'))
   840   | rep_tac_ (Or_to_List' (t, t'))  = (Erule, (t, t'))
   841   | rep_tac_ m = error ("rep_tac_: not impl.for "^
   842 				 (tac_2str m));
   843 
   844 (*"N.3.6.03------
   845 fun tac_2rule m = (fst o rep_tac_) m;
   846 fun tac_2etac m = (snd o rep_tac_) m;
   847 fun tac_2tac m = (fst o snd o rep_tac_) m;*)
   848 fun tac_2res m = (snd o snd o rep_tac_) m;(*ONLYuse of rep_tac_
   849 					        FIXXXXME: simplify rep_tac_*)
   850 
   851 
   852 (* handle a leaf at the end of recursive descent:
   853    a leaf is either a tactic or an 'exp' in 'let v = expr'
   854    where 'exp' does not contain a tactic.
   855    handling a leaf comprises
   856    (1) 'subst_stacexpr' substitute env and complete curried tactic
   857    (2) rewrite the leaf by 'srls'
   858 *)
   859 fun handle_leaf call thy srls E a v t =
   860       (*WN050916 'upd_env_opt' is a blind copy from previous version*)
   861        case subst_stacexpr E a v t of
   862 	       (a', STac stac) => (*script-tactic*)
   863 	         let val stac' =
   864              eval_listexpr_ (assoc_thy thy) srls (subst_atomic (upd_env_opt E (a,v)) stac)
   865 	         in
   866              (if (!trace_script) 
   867 	            then tracing ("@@@ "^call^" leaf '"^term2str t^"' ---> STac '"^term2str stac'^"'")
   868 	            else ();
   869 	            (a', STac stac'))
   870 	         end
   871        | (a', Expr lexpr) => (*leaf-expression*)
   872 	         let val lexpr' =
   873              eval_listexpr_ (assoc_thy thy) srls (subst_atomic (upd_env_opt E (a,v)) lexpr)
   874 	         in
   875              (if (!trace_script) 
   876 	            then tracing("@@@ "^call^" leaf '"^term2str t^"' ---> Expr '"^term2str lexpr'^"'")
   877 	            else ();
   878 	            (a', Expr lexpr'))
   879 	         end;
   880 
   881 
   882 (** locate an applicable stactic in a script **)
   883 
   884 datatype assoc = (*ExprVal in the sense of denotational semantics*)
   885   Assoc of     (*the stac is associated, strongly or weakly*)
   886   scrstate *       (*the current; returned for next_tac etc. outside ass* *)  
   887   (step list)    (*list of steps done until associated stac found;
   888 	           initiated with the data for doing the 1st step,
   889                    thus the head holds these data further on,
   890 		   while the tail holds steps finished (incl.scrstate in ptree)*)
   891 | NasApp of   (*stac not associated, but applicable, ptree-node generated*)
   892   scrstate * (step list)
   893 | NasNap of     (*stac not associated, not applicable, nothing generated;
   894 	         for distinction in Or, for leaving iterations, leaving Seq,
   895 		 evaluate scriptexpressions*)
   896   term * env;
   897 fun assoc2str (Assoc     _) = "Assoc"
   898   | assoc2str (NasNap  _) = "NasNap"
   899   | assoc2str (NasApp _) = "NasApp";
   900 
   901 
   902 datatype asap = (*arg. of assy _only_ for distinction w.r.t. Or*)
   903   Aundef   (*undefined: set only by (topmost) Or*)
   904 | AssOnly  (*do not execute appl stacs - there could be an associated
   905 	     in parallel Or-branch*)
   906 | AssGen;  (*no Ass(Weak) found within Or, thus 
   907              search for _applicable_ stacs, execute and generate pt*)
   908 (*this constructions doesnt allow arbitrary nesting of Or !!!*)
   909 
   910 
   911 (*assy, ass_up, astep_up scanning for locate_gen at stactic in a script.
   912   search is clearly separated into (1)-(2):
   913   (1) assy is recursive descent;
   914   (2) ass_up resumes interpretation at a location somewhere in the script;
   915       astep_up does only get to the parentnode of the scriptexpr.
   916   consequence:
   917   * call of (2) means _always_ that in this branch below
   918     there was an appl.stac (Repeat, Or e1, ...) found by the previous step.
   919 *)
   920 fun assy ya (is as (E,l,a,v,S,b),ss) (Const ("HOL.Let",_) $ e $ (Abs (id,T,body))) =
   921       (case assy ya ((E , l@[L,R], a,v,S,b),ss) e of
   922 	       NasApp ((E',l,a,v,S,bb),ss) => 
   923 	         let
   924              val id' = mk_Free (id, T);
   925 	           val E' = upd_env E' (id', v);
   926 	         in assy ya ((E', l@[R,D], a,v,S,b),ss) body end
   927        | NasNap (v,E) => 	 
   928 	         let
   929              val id' = mk_Free (id, T);
   930 	           val E' = upd_env E (id', v);
   931 	         in assy ya ((E', l@[R,D], a,v,S,b),ss) body end
   932        | ay => ay)
   933 
   934   | assy (ya as (((thy,srls),_),_)) ((E,l,_,v,S,b),ss) (Const ("Script.While",_) $ c $ e $ a) =
   935       (if eval_true_ thy srls (subst_atomic (upd_env E (a,v)) c) 
   936        then assy ya ((E, l@[L,R], SOME a,v,S,b),ss)  e
   937        else NasNap (v, E))   
   938   | assy (ya as (((thy,srls),_),_)) ((E,l,a,v,S,b),ss) (Const ("Script.While",_) $ c $ e) =
   939       (if eval_true_ thy srls (subst_atomic (upd_env_opt E (a,v)) c) 
   940        then assy ya ((E, l@[R], a,v,S,b),ss) e
   941        else NasNap (v, E)) 
   942 
   943   | assy (ya as (((thy,srls),_),_)) ((E,l,a,v,S,b),ss) (Const ("If",_) $ c $ e1 $ e2) =
   944       (if eval_true_ thy srls (subst_atomic (upd_env_opt E (a,v)) c) 
   945        then assy ya ((E, l@[L,R], a,v,S,b),ss) e1
   946        else assy ya ((E, l@[  R], a,v,S,b),ss) e2) 
   947 
   948   | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Try",_) $ e $ a) =
   949       (case assy ya ((E, l@[L,R], SOME a,v,S,b),ss) e of
   950          ay => ay) 
   951   | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Try",_) $ e) =
   952       (case assy ya ((E, l@[R], a,v,S,b),ss) e of
   953          ay => ay)
   954 
   955   | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Seq",_) $e1 $ e2 $ a) =
   956       (case assy ya ((E, l@[L,L,R], SOME a,v,S,b),ss) e1 of
   957 	       NasNap (v, E) => assy ya ((E, l@[L,R], SOME a,v,S,b),ss) e2
   958        | NasApp ((E,_,_,v,_,_),ss) => assy ya ((E, l@[L,R], SOME a,v,S,b),ss) e2
   959        | ay => ay)
   960   | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Seq",_) $e1 $ e2) =
   961       (case assy ya ((E, l@[L,R], a,v,S,b),ss) e1 of
   962 	       NasNap (v, E) => assy ya ((E, l@[R], a,v,S,b),ss) e2
   963        | NasApp ((E,_,_,v,_,_),ss) => assy ya ((E, l@[R], a,v,S,b),ss) e2
   964        | ay => ay)
   965     
   966   | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Repeat",_) $ e $ a) =
   967       assy ya ((E,(l@[L,R]),SOME a,v,S,b),ss) e
   968   | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Repeat",_) $ e) =
   969       assy ya ((E,(l@[R]),a,v,S,b),ss) e
   970 
   971   | assy (y, Aundef) ((E,l,_,v,S,b),ss) (Const ("Script.Or",_) $e1 $ e2 $ a) =
   972       (case assy (y, AssOnly) ((E,(l@[L,L,R]),SOME a,v,S,b),ss) e1 of
   973 	       NasNap (v, E) => 
   974 	         (case assy (y, AssOnly) ((E,(l@[L,R]),SOME a,v,S,b),ss) e2 of
   975 	            NasNap (v, E) => 
   976 	              (case assy (y, AssGen) ((E,(l@[L,L,R]),SOME a,v,S,b),ss) e1 of
   977 	                 NasNap (v, E) => 
   978 	                   assy (y, AssGen) ((E, (l@[L,R]), SOME a,v,S,b),ss) e2
   979 	               | ay => ay)
   980 	          | ay =>(ay))
   981        | NasApp _ => error ("assy: FIXXXME ///must not return NasApp///")
   982        | ay => (ay))
   983   | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Or",_) $e1 $ e2) =
   984       (case assy ya ((E,(l@[L,R]),a,v,S,b),ss) e1 of
   985 	       NasNap (v, E) => assy ya ((E,(l@[R]),a,v,S,b),ss) e2
   986        | ay => (ay)) 
   987 
   988   | assy (((thy',sr),d),ap) (is as (E,l,a,v,S,b), (m,_,pt,(p,p_),c)::ss) t =
   989       (case handle_leaf "locate" thy' sr E a v t of
   990 	       (a', Expr s) => 
   991 	          (NasNap (eval_listexpr_ (assoc_thy thy') sr
   992 			         (subst_atomic (upd_env_opt E (a',v)) t), E))
   993        | (a', STac stac) =>
   994 	         let
   995              val ctxt = get_ctxt pt (p,p_)
   996              val p' = 
   997                case p_ of Frm => p 
   998                | Res => lev_on p
   999 			         | _ => error ("assy: call by " ^ pos'2str (p,p_));
  1000 	         in
  1001              case assod pt d m stac of
  1002 	             Ass (m,v') =>
  1003 	               let val (p'',c',f',pt') =
  1004                    generate1 (assoc_thy thy') m (ScrState (E,l,a',v',S,true), ctxt) (p',p_) pt;
  1005 	               in Assoc ((E,l,a',v',S,true), (m,f',pt',p'',c @ c')::ss) end
  1006              | AssWeak (m,v') => 
  1007 	               let val (p'',c',f',pt') =
  1008                    generate1 (assoc_thy thy') m (ScrState (E,l,a',v',S,false), ctxt) (p',p_) pt;
  1009 	               in Assoc ((E,l,a',v',S,false), (m,f',pt',p'',c @ c')::ss) end
  1010              | NotAss =>
  1011                  (case ap of   (*switch for Or: 1st AssOnly, 2nd AssGen*)
  1012                     AssOnly => (NasNap (v, E))
  1013                   | gen =>
  1014                       (case applicable_in (p,p_) pt (stac2tac pt (assoc_thy thy') stac) of
  1015 			                   Appl m' =>
  1016 			                     let
  1017                              val is = (E,l,a',tac_2res m',S,false(*FIXXXME.WN0?*))
  1018 			                       val (p'',c',f',pt') =
  1019 			                         generate1 (assoc_thy thy') m' (ScrState is, ctxt) (p',p_) pt;
  1020 			                     in NasApp (is,(m,f',pt',p'',c @ c')::ss) end
  1021 		                   | Notappl _ => (NasNap (v, E))
  1022 			                )
  1023 		             )
  1024            end);
  1025 
  1026 fun ass_up (ys as (y,s,Script sc,d)) (is as (E,l,a,v,S,b),ss) 
  1027 	   (Const ("HOL.Let",_) $ _) =
  1028     let (*val _= tracing("### ass_up1 Let$e: is=")
  1029 	val _= tracing(istate2str (ScrState is))*)
  1030 	val l = drop_last l; (*comes from e, goes to Abs*)
  1031       val (Const ("HOL.Let",_) $ e $ (Abs (i,T,body))) = go l sc;
  1032       val i = mk_Free (i, T);
  1033       val E = upd_env E (i, v);
  1034       (*val _=tracing("### ass_up2 Let$e: E="^(subst2str E));*)
  1035     in case assy (((y,s),d),Aundef) ((E, l@[R,D], a,v,S,b),ss) body of
  1036 	   Assoc iss => Assoc iss
  1037 	 | NasApp iss => astep_up ys iss 
  1038 	 | NasNap (v, E) => astep_up ys ((E,l,a,v,S,b),ss) end
  1039 
  1040   | ass_up ys (iss as (is,_)) (Abs (_,_,_)) = 
  1041     ((*tracing("### ass_up  Abs: is=");
  1042      tracing(istate2str (ScrState is));*)
  1043      astep_up ys iss) (*TODO 5.9.00: env ?*)
  1044 
  1045   | ass_up ys (iss as (is,_)) (Const ("HOL.Let",_) $ e $ (Abs (i,T,b)))=
  1046     ((*tracing("### ass_up Let $ e $ Abs: is=");
  1047      tracing(istate2str (ScrState is));*)
  1048      astep_up ys iss) (*TODO 5.9.00: env ?*)
  1049 
  1050     (* val (ysa, iss,                 (Const ("Script.Seq",_) $ _ $ _ $ _)) =
  1051 	   (ys,  ((E,up,a,v,S,b),ss), (go up sc));
  1052        *)
  1053   | ass_up ysa iss (Const ("Script.Seq",_) $ _ $ _ $ _) =
  1054     astep_up ysa iss (*all has been done in (*2*) below*)
  1055 
  1056   | ass_up ysa iss (Const ("Script.Seq",_) $ _ $ _) =
  1057     (* val (ysa, iss,                 (Const ("Script.Seq",_) $ _ $ _)) =
  1058 	   (ys,  ((E,up,a,v,S,b),ss), (go up sc));
  1059        *)
  1060     astep_up ysa iss (*2*: comes from e2*)
  1061 
  1062   | ass_up (ysa as (y,s,Script sc,d)) (is as (E,l,a,v,S,b),ss)
  1063 	   (Const ("Script.Seq",_) $ _ ) = (*2*: comes from e1, goes to e2*)
  1064 	   (* val ((ysa as (y,s,Script sc,d)), (is as (E,l,a,v,S,b),ss),
  1065 	                                  (Const ("Script.Seq",_) $ _ )) = 
  1066 		  (ys,   ((E,up,a,v,S,b),ss), (go up sc));
  1067 	      *)
  1068     let val up = drop_last l;
  1069 	val Const ("Script.Seq",_) $ _ $ e2 = go up sc
  1070 	(*val _= tracing("### ass_up Seq$e: is=")
  1071 	val _= tracing(istate2str (ScrState is))*)
  1072     in case assy (((y,s),d),Aundef) ((E, up@[R], a,v,S,b),ss) e2 of
  1073 	   NasNap (v,E) => astep_up ysa ((E,up,a,v,S,b),ss)
  1074 	 | NasApp iss => astep_up ysa iss
  1075 	 | ay => ay end
  1076 
  1077     (* val (ysa, iss,                 (Const ("Script.Try",_) $ e $ _)) =
  1078 	   (ys,  ((E,up,a,v,S,b),ss), (go up sc));
  1079        *)
  1080   | ass_up ysa iss (Const ("Script.Try",_) $ e $ _) =
  1081     astep_up ysa iss
  1082 
  1083   (* val (ysa, iss, (Const ("Script.Try",_) $ e)) =
  1084 	 (ys,  ((E,up,a,v,S,b),ss), (go up sc));
  1085      *)
  1086   | ass_up ysa iss (Const ("Script.Try",_) $ e) =
  1087     ((*tracing("### ass_up Try $ e");*)
  1088      astep_up ysa iss)
  1089 
  1090   | ass_up (ys as (y,s,_,d)) ((E,l,_,v,S,b),ss)
  1091 	   (*(Const ("Script.While",_) $ c $ e $ a) = WN050930 blind fix*)
  1092 	   (t as Const ("Script.While",_) $ c $ e $ a) =
  1093     ((*tracing("### ass_up: While c= "^
  1094 	     (term2str (subst_atomic (upd_env E (a,v)) c)));*)
  1095      if eval_true_ y s (subst_atomic (upd_env E (a,v)) c)
  1096     then (case assy (((y,s),d),Aundef) ((E, l@[L,R], SOME a,v,S,b),ss) e of 
  1097        NasNap (v,E') => astep_up ys ((E',l, SOME a,v,S,b),ss)
  1098      | NasApp ((E',l,a,v,S,b),ss) =>
  1099        ass_up ys ((E',l,a,v,S,b),ss) t (*WN050930 't' was not assigned*)
  1100      | ay => ay)
  1101     else astep_up ys ((E,l, SOME a,v,S,b),ss)
  1102 	 )
  1103 
  1104   | ass_up (ys as (y,s,_,d)) ((E,l,a,v,S,b),ss)
  1105 	   (*(Const ("Script.While",_) $ c $ e) = WN050930 blind fix*)
  1106 	   (t as Const ("Script.While",_) $ c $ e) =
  1107     if eval_true_ y s (subst_atomic (upd_env_opt E (a,v)) c)
  1108     then (case assy (((y,s),d),Aundef) ((E, l@[R], a,v,S,b),ss) e of 
  1109        NasNap (v,E') => astep_up ys ((E',l, a,v,S,b),ss)
  1110      | NasApp ((E',l,a,v,S,b),ss) =>
  1111        ass_up ys ((E',l,a,v,S,b),ss) t (*WN050930 't' was not assigned*)
  1112      | ay => ay)
  1113     else astep_up ys ((E,l, a,v,S,b),ss)
  1114 
  1115   | ass_up y iss (Const ("If",_) $ _ $ _ $ _) = astep_up y iss
  1116 
  1117   | ass_up (ys as (y,s,_,d)) ((E,l,_,v,S,b),ss)
  1118 	   (t as Const ("Script.Repeat",_) $ e $ a) =
  1119   (case assy (((y,s),d), Aundef) ((E, (l@[L,R]), SOME a,v,S,b),ss) e of 
  1120        NasNap (v,E') => astep_up ys ((E',l, SOME a,v,S,b),ss)
  1121      | NasApp ((E',l,a,v,S,b),ss) =>
  1122        ass_up ys ((E',l,a,v,S,b),ss) t
  1123      | ay => ay)
  1124 
  1125   | ass_up (ys as (y,s,_,d)) (is as ((E,l,a,v,S,b),ss)) 
  1126 	   (t as Const ("Script.Repeat",_) $ e) =
  1127   (case assy (((y,s),d), Aundef) ((E, (l@[R]), a,v,S,b),ss) e of 
  1128        NasNap (v', E') => astep_up ys ((E',l,a,v',S,b),ss)
  1129      | NasApp ((E',l,a,v',S,bb),ss) => 
  1130        ass_up ys ((E',l,a,v',S,b),ss) t
  1131      | ay => ay)
  1132 
  1133   | ass_up y iss (Const ("Script.Or",_) $ _ $ _ $ _) = astep_up y iss
  1134 
  1135   | ass_up y iss (Const ("Script.Or",_) $ _ $ _) = astep_up y iss
  1136 
  1137   | ass_up y ((E,l,a,v,S,b),ss) (Const ("Script.Or",_) $ _ ) = 
  1138     astep_up y ((E, (drop_last l), a,v,S,b),ss)
  1139 
  1140   | ass_up y iss t =
  1141     error ("ass_up not impl for t= "^(term2str t))
  1142 (* 9.6.03
  1143    val (ys as (_,_,Script sc,_), ss) = 
  1144        ((thy',srls,scr,d), [(m,EmptyMout,pt,p,[])]:step list);
  1145    astep_up ys ((E,l,a,v,S,b),ss);
  1146    val ((ys as (_,_,Script sc,_)), ((E,l,a,v,S,b),ss)) = 
  1147        (ysa, iss);
  1148    val ((ys as (_,_,Script sc,_)), ((E,l,a,v,S,b),ss)) = 
  1149        ((thy',srls,scr,d), ((E,l,a,v,S,b), [(m,EmptyMout,pt,p,[])]));
  1150    *)  
  1151 and astep_up (ys as (_,_,Script sc,_)) ((E,l,a,v,S,b),ss) =
  1152   if 1 < length l
  1153     then 
  1154       let val up = drop_last l;
  1155 	  (*val _= tracing("### astep_up: E= "^env2str E);*)
  1156       in ass_up ys ((E,up,a,v,S,b),ss) (go up sc) end
  1157   else (NasNap (v, E))
  1158 ;
  1159 
  1160 
  1161 
  1162 
  1163 
  1164 (* use"ME/script.sml";
  1165    use"script.sml";
  1166  term2str (go up sc);
  1167 
  1168    *)
  1169 
  1170 (*check if there are tacs for rewriting only*)
  1171 fun rew_only ([]:step list) = true
  1172   | rew_only (((Rewrite' _          ,_,_,_,_))::ss) = rew_only ss
  1173   | rew_only (((Rewrite_Inst' _     ,_,_,_,_))::ss) = rew_only ss
  1174   | rew_only (((Rewrite_Set' _      ,_,_,_,_))::ss) = rew_only ss
  1175   | rew_only (((Rewrite_Set_Inst' _ ,_,_,_,_))::ss) = rew_only ss
  1176   | rew_only (((Calculate' _        ,_,_,_,_))::ss) = rew_only ss
  1177   | rew_only (((Begin_Trans' _      ,_,_,_,_))::ss) = rew_only ss
  1178   | rew_only (((End_Trans' _        ,_,_,_,_))::ss) = rew_only ss
  1179   | rew_only _ = false; 
  1180   
  1181 
  1182 datatype locate =
  1183   Steps of istate      (*producing hd of step list (which was latest)
  1184 	                 for next_tac, for reporting Safe|Unsafe to DG*)
  1185 	   * step      (*(scrstate producing this step is in ptree !)*) 
  1186 		 list  (*locate_gen may produce intermediate steps*)
  1187 | NotLocatable;        (*no (m Ass m') or (m AssWeak m') found*)
  1188 
  1189 
  1190 
  1191 (* locate_gen tries to locate an input tac m in the script. 
  1192    pursuing this goal the script is executed until an (m' equiv m) is found,
  1193    or the end of the script
  1194 args
  1195    m   : input by the user, already checked by applicable_in,
  1196          (to be searched within Or; and _not_ an m doing the step on ptree !)
  1197    p,pt: (incl ets) at the time of input
  1198    scr : the script
  1199    d   : canonical simplifier for locating Take, Substitute, Subproblems etc.
  1200    ets : ets at the time of input
  1201    l   : the location (in scr) of the stac which generated the current formula
  1202 returns
  1203    Steps: pt,p (incl. ets) with m done
  1204           pos' list of proofobjs cut (from generate)
  1205           safe: implied from last proofobj
  1206 	  ets:
  1207    ///ToDo : ets contains a list of tacs to be done before m can be done
  1208           NOT IMPL. -- "error: do other step before"
  1209    NotLocatable: thus generate_hard
  1210 *)
  1211 fun locate_gen (thy',_) (Rewrite'(_,ro,er,pa,(id,str),f,_)) (pt,p) 
  1212 	  (Rfuns {locate_rule=lo,...}, d) (RrlsState (_,f'',rss,rts), ctxt) = 
  1213       (case lo rss f (Thm (id, mk_thm (assoc_thy thy') str)) of
  1214 	       [] => NotLocatable
  1215        | rts' => 
  1216 	         Steps (rts2steps [] ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa)) rts'))
  1217 
  1218   | locate_gen (ts as (thy',srls)) (m:tac_) ((pt,p):ptree * pos') 
  1219 	  (scr as Script (h $ body),d) (ScrState (E,l,a,v,S,b), ctxt)  = 
  1220       let val thy = assoc_thy thy';
  1221       in
  1222         case if l = [] orelse ((*init.in solve..Apply_Method...*)
  1223 			         (last_elem o fst) p = 0 andalso snd p = Res)
  1224 	           then (assy ((ts,d),Aundef) ((E,[R],a,v,S,b), [(m,EmptyMout,pt,p,[])]) body)
  1225 	           else (astep_up (thy',srls,scr,d) ((E,l,a,v,S,b), [(m,EmptyMout,pt,p,[])]) ) of
  1226 	        Assoc (iss as (is as (_,_,_,_,_,bb), ss as ((m',f',pt',p',c')::_))) =>
  1227 	          (if bb
  1228              then Steps (ScrState is, ss)
  1229 	           else
  1230                if rew_only ss (*andalso 'not bb'= associated weakly*)
  1231 	             then
  1232                  let
  1233                    val (po,p_) = p
  1234                    val po' = case p_ of Frm => po | Res => lev_on po
  1235                    val (p'',c'',f'',pt'') = 
  1236 		                 generate1 thy m (ScrState is, ctxt) (po',p_) pt;
  1237 	               in Steps (ScrState is, [(m, f'',pt'',p'',c'')]) end
  1238 	             else Steps (ScrState is, ss))
  1239 	
  1240         | NasApp _ => NotLocatable
  1241       end
  1242 
  1243   | locate_gen _ m _ (sc,_) (is, _) = 
  1244       error ("locate_gen: wrong arguments,\n tac= " ^ tac_2str m ^ ",\n " ^
  1245 		    "scr= " ^ scr2str sc ^ ",\n istate= " ^ istate2str is);
  1246 
  1247 (** find the next stactic in a script **)
  1248 
  1249 datatype appy =  (*ExprVal in the sense of denotational semantics*)
  1250     Appy of      (*applicable stac found, search stalled*)
  1251     tac_ *       (*tac_ associated (fun assod) with stac*)
  1252     scrstate     (*after determination of stac WN.18.8.03*)
  1253   | Napp of      (*stac found was not applicable; 
  1254 	           this mode may become Skip in Repeat, Try and Or*)
  1255     env (*stack*)  (*popped while nxt_up*)
  1256   | Skip of      (*for restart after Appy, for leaving iterations,
  1257 	           for passing the value of scriptexpressions,
  1258 		   and for finishing the script successfully*)
  1259     term * env (*stack*);
  1260 
  1261 (*appy, nxt_up, nstep_up scanning for next_tac.
  1262   search is clearly separated into (1)-(2):
  1263   (1) appy is recursive descent;
  1264   (2) nxt_up resumes interpretation at a location somewhere in the script;
  1265       nstep_up does only get to the parentnode of the scriptexpr.
  1266   consequence:
  1267   * call of (2) means _always_ that in this branch below
  1268     there was an applicable stac (Repeat, Or e1, ...)
  1269 *)
  1270 
  1271 
  1272 datatype appy_ = (*as argument in nxt_up, nstep_up, from appy*)
  1273   (* Appy          is only (final) returnvalue, not argument during search *)
  1274      Napp_       (*ev. detects 'script is not appropriate for this example'*)
  1275    | Skip_;      (*detects 'script successfully finished'
  1276 		               also used as init-value for resuming; this works,
  1277 	                 because 'nxt_up Or e1' treats as Appy*)
  1278 
  1279 fun appy thy ptp E l (t as Const ("HOL.Let",_) $ e $ (Abs (i,T,b))) a v =
  1280       (case appy thy ptp E (l@[L,R]) e a v of
  1281          Skip (res, E) => 
  1282            let val E' = upd_env E (Free (i,T), res);
  1283            in appy thy ptp E' (l@[R,D]) b a v end
  1284        | ay => ay)
  1285 
  1286   | appy (thy as (th,sr)) ptp E l (t as Const ("Script.While"(*1*),_) $ c $ e $ a) _ v =
  1287       (if eval_true_ th sr (subst_atomic (upd_env E (a,v)) c)
  1288        then appy thy ptp E (l@[L,R]) e (SOME a) v
  1289        else Skip (v, E))
  1290 
  1291   | appy (thy as (th,sr)) ptp E l (t as Const ("Script.While"(*2*),_) $ c $ e) a v =
  1292       (if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)
  1293        then appy thy ptp E (l@[R]) e a v
  1294        else Skip (v, E))
  1295 
  1296   | appy (thy as (th,sr)) ptp E l (t as Const ("If",_) $ c $ e1 $ e2) a v =
  1297       (if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)
  1298        then ((*tracing("### appy If: true");*)appy thy ptp E (l@[L,R]) e1 a v)
  1299        else ((*tracing("### appy If: false");*)appy thy ptp E (l@[  R]) e2 a v))
  1300 
  1301   | appy thy ptp E l (Const ("Script.Repeat"(*1*),_) $ e $ a) _ v = 
  1302       (appy thy ptp E (l@[L,R]) e (SOME a) v)
  1303 
  1304   | appy thy ptp E l (Const ("Script.Repeat"(*2*),_) $ e) a v = 
  1305       (appy thy ptp E (l@[R]) e a v)
  1306 
  1307   | appy thy ptp E l (t as Const ("Script.Try",_) $ e $ a) _ v =
  1308      (case appy thy ptp E (l@[L,R]) e (SOME a) v of
  1309         Napp E => (Skip (v, E))
  1310       | ay => ay)
  1311 
  1312   | appy thy ptp E l(t as Const ("Script.Try",_) $ e) a v =
  1313      (case appy thy ptp E (l@[R]) e a v of
  1314         Napp E => (Skip (v, E))
  1315       | ay => ay)
  1316 
  1317   | appy thy ptp E l (Const ("Script.Or"(*1*),_) $e1 $ e2 $ a) _ v =
  1318      (case appy thy ptp E (l@[L,L,R]) e1 (SOME a) v of
  1319 	      Appy lme => Appy lme
  1320       | _ => appy thy ptp E (*env*) (l@[L,R]) e2 (SOME a) v)
  1321     
  1322   | appy thy ptp E l (Const ("Script.Or"(*2*),_) $e1 $ e2) a v =
  1323       (case appy thy ptp E (l@[L,R]) e1 a v of
  1324 	       Appy lme => Appy lme
  1325        | _ => appy thy ptp E (l@[R]) e2 a v)
  1326 
  1327   | appy thy ptp E l (Const ("Script.Seq"(*1*),_) $ e1 $ e2 $ a) _ v =
  1328       (case appy thy ptp E (l@[L,L,R]) e1 (SOME a) v of
  1329 	       Skip (v,E) => appy thy ptp E (l@[L,R]) e2 (SOME a) v
  1330        | ay => ay)
  1331 
  1332   | appy thy ptp E l (Const ("Script.Seq",_) $ e1 $ e2) a v =
  1333       (case appy thy ptp E (l@[L,R]) e1 a v of
  1334 	       Skip (v,E) => appy thy ptp E (l@[R]) e2 a v
  1335        | ay => ay)
  1336 
  1337   (* a leaf has been found *)   
  1338   | appy (thy as (th,sr)) (pt, p) E l t a v =
  1339       (case handle_leaf "next  " th sr E a v t of
  1340 	       (a', Expr s) => Skip (s, E)
  1341        | (a', STac stac) =>
  1342 	         let val (m,m') = stac2tac_ pt (assoc_thy th) stac
  1343            in
  1344              case m of 
  1345 	             Subproblem _ => Appy (m', (E,l,a',tac_2res m',Sundef,false))
  1346 	           | _ =>
  1347                (case applicable_in p pt m of
  1348 			            Appl m' => (Appy (m', (E,l,a',tac_2res m',Sundef,false)))
  1349 		         | _ => ((*tracing("### appy: Napp");*)Napp E)) 
  1350 	         end);
  1351 	 
  1352 fun nxt_up thy ptp (scr as (Script sc)) E l ay
  1353     (t as Const ("HOL.Let",_) $ _) a v = (*comes from let=...*)
  1354        (if ay = Napp_
  1355         then nstep_up thy ptp scr E (drop_last l) Napp_ a v
  1356         else (*Skip_*)
  1357 	        let
  1358             val up = drop_last l;
  1359 	          val (Const ("HOL.Let",_) $ e $ (Abs (i,T,body))) = go up sc;
  1360             val i = mk_Free (i, T);
  1361             val E = upd_env E (i, v);
  1362           in
  1363             case appy thy ptp E (up@[R,D]) body a v  of
  1364 	            Appy lre => Appy lre
  1365 	          | Napp E => nstep_up thy ptp scr E up Napp_ a v
  1366 	          | Skip (v,E) => nstep_up thy ptp scr E up Skip_ a v end)
  1367 	    
  1368   | nxt_up thy ptp scr E l ay
  1369     (t as Abs (_,_,_)) a v = 
  1370     ((*tracing("### nxt_up Abs: " ^ term2str t);*)
  1371      nstep_up thy ptp scr E (*enr*) l ay a v)
  1372 
  1373   | nxt_up thy ptp scr E l ay
  1374     (t as Const ("HOL.Let",_) $ e $ (Abs (i,T,b))) a v =
  1375     ((*tracing("### nxt_up Let$e$Abs: is=");
  1376      tracing(istate2str (ScrState (E,l,a,v,Sundef,false)));*)
  1377      (*tracing("### nxt_up Let e Abs: " ^ term2str t);*)
  1378      nstep_up thy ptp scr (*upd_env*) E (*a,v)*) 
  1379 	      (*eno,upd_env env (iar,res),iar,res,saf*) l ay a v)
  1380 
  1381   (*no appy_: never causes Napp -> Helpless*)
  1382   | nxt_up (thy as (th,sr)) ptp scr E l _ 
  1383   (Const ("Script.While"(*1*),_) $ c $ e $ _) a v = 
  1384   if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c) 
  1385     then case appy thy ptp E (l@[L,R]) e a v of
  1386 	     Appy lr => Appy lr
  1387 	   | Napp E => nstep_up thy ptp scr E l Skip_ a v
  1388 	   | Skip (v,E) => nstep_up thy ptp scr E l Skip_ a v
  1389   else nstep_up thy ptp scr E l Skip_ a v
  1390 
  1391   (*no appy_: never causes Napp - Helpless*)
  1392   | nxt_up (thy as (th,sr)) ptp scr E l _ 
  1393   (Const ("Script.While"(*2*),_) $ c $ e) a v = 
  1394   if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c) 
  1395     then case appy thy ptp E (l@[R]) e a v of
  1396 	     Appy lr => Appy lr
  1397 	   | Napp E => nstep_up thy ptp scr E l Skip_ a v
  1398 	   | Skip (v,E) => nstep_up thy ptp scr E l Skip_ a v
  1399   else nstep_up thy ptp scr E l Skip_ a v
  1400 
  1401 (* val (scr, l) = (Script sc, up);
  1402    *)
  1403   | nxt_up thy ptp scr E l ay (Const ("If",_) $ _ $ _ $ _) a v = 
  1404     nstep_up thy ptp scr E l ay a v
  1405 
  1406   | nxt_up thy ptp scr E l _ (*no appy_: there was already a stac below*)
  1407   (Const ("Script.Repeat"(*1*),T) $ e $ _) a v =
  1408     (case appy thy ptp (*upd_env*) E (*a,v)*) ((l@[L,R]):loc_) e a v  of
  1409       Appy lr => Appy lr
  1410     | Napp E => ((*tracing("### nxt_up Repeat a: ");*)
  1411 		 nstep_up thy ptp scr E l Skip_ a v)
  1412     | Skip (v,E) => ((*tracing("### nxt_up Repeat: Skip res ="^
  1413 		(Sign.string_of_term(sign_of (assoc_thy thy)) res'));*)
  1414 		    nstep_up thy ptp scr E l Skip_ a v))
  1415 
  1416   | nxt_up thy ptp scr E l _ (*no appy_: there was already a stac below*)
  1417   (Const ("Script.Repeat"(*2*),T) $ e) a v =
  1418     (case appy thy ptp (*upd_env*) E (*a,v)*) ((l@[R]):loc_) e a v  of
  1419       Appy lr => Appy lr
  1420     | Napp E => ((*tracing("### nxt_up Repeat a: ");*)
  1421 		 nstep_up thy ptp scr E l Skip_ a v)
  1422     | Skip (v,E) => ((*tracing("### nxt_up Repeat: Skip res ="^
  1423 		(Sign.string_of_term(sign_of (assoc_thy thy)) res'));*)
  1424 		    nstep_up thy ptp scr E l Skip_ a v))
  1425 (* val (thy, ptp, scr, E, l,   _,(t as Const ("Script.Try",_) $ e $ _), a, v) =
  1426        (thy, ptp, (Script sc), 
  1427 	               E, up, ay,(go up sc),                            a, v);
  1428    *)
  1429   | nxt_up thy ptp scr E l _ (*makes Napp to Skip*)
  1430   (t as Const ("Script.Try",_) $ e $ _) a v = 
  1431     ((*tracing("### nxt_up Try " ^ term2str t);*)
  1432      nstep_up thy ptp scr E l Skip_ a v )
  1433 (* val (thy, ptp, scr, E, l,   _,(t as Const ("Script.Try",_) $ e), a, v) =
  1434        (thy, ptp, (Script sc), 
  1435 	               E, up, ay,(go up sc),                        a, v);
  1436    *)
  1437   | nxt_up thy ptp scr E l _ (*makes Napp to Skip*)
  1438   (t as Const ("Script.Try"(*2*),_) $ e) a v = 
  1439     ((*tracing("### nxt_up Try " ^ term2str t);*)
  1440      nstep_up thy ptp scr E l Skip_ a v)
  1441 
  1442 
  1443   | nxt_up thy ptp scr E l ay
  1444   (Const ("Script.Or",_) $ _ $ _ $ _) a v = nstep_up thy ptp scr E l ay a v
  1445 
  1446   | nxt_up thy ptp scr E l ay
  1447   (Const ("Script.Or",_) $ _ $ _) a v = nstep_up thy ptp scr E l ay a v
  1448 
  1449   | nxt_up thy ptp scr E l ay
  1450   (Const ("Script.Or",_) $ _ ) a v = 
  1451     nstep_up thy ptp scr E (drop_last l) ay a v
  1452 (* val (thy, ptp, scr, E, l, ay, (Const ("Script.Seq",_) $ _ $ _ $ _), a, v) =
  1453        (thy, ptp, (Script sc), 
  1454 		       E, up, ay,(go up sc),                           a, v);
  1455    *)
  1456   | nxt_up thy ptp scr E l ay (*all has been done in (*2*) below*)
  1457   (Const ("Script.Seq"(*1*),_) $ _ $ _ $ _) a v =
  1458     nstep_up thy ptp scr E l ay a v
  1459 (* val (thy, ptp, scr, E, l, ay, (Const ("Script.Seq",_) $ _ $ e2), a, v) =
  1460        (thy, ptp, (Script sc), 
  1461 		       E, up, ay,(go up sc),                        a, v);
  1462    *)
  1463   | nxt_up thy ptp scr E l ay (*comes from e2*)
  1464 	   (Const ("Script.Seq"(*2*),_) $ _ $ e2) a v =
  1465     nstep_up thy ptp scr E l ay a v
  1466 (* val (thy, ptp, scr, E, l, ay, (Const ("Script.Seq",_) $ _), a, v) =
  1467        (thy, ptp, (Script sc), 
  1468 		       E, up, ay,(go up sc),                   a, v);
  1469    *)
  1470   | nxt_up thy ptp (scr as Script sc) E l ay (*comes from e1*)
  1471 	   (Const ("Script.Seq",_) $ _) a v = 
  1472     if ay = Napp_
  1473     then nstep_up thy ptp scr E (drop_last l) Napp_ a v
  1474     else (*Skip_*)
  1475 	let val up = drop_last l;
  1476 	    val Const ("Script.Seq"(*2*),_) $ _ $ e2 = go up sc;
  1477 	in case appy thy ptp E (up@[R]) e2 a v  of
  1478 	    Appy lr => Appy lr
  1479 	  | Napp E => nstep_up thy ptp scr E up Napp_ a v
  1480 	  | Skip (v,E) => nstep_up thy ptp scr E up Skip_ a v end
  1481 
  1482   | nxt_up (thy,_) ptp scr E l ay t a v =
  1483     error ("nxt_up not impl for " ^ term2str t)
  1484 
  1485 (* val (thy, ptp, (Script sc), E, l, ay,    a, v)=
  1486        (thy, ptp, scr,         E, l, Skip_, a, v);
  1487    val (thy, ptp, (Script sc), E, l, ay,    a, v)=
  1488        (thy, ptp, sc,          E, l, Skip_, a, v);
  1489    *)
  1490 and nstep_up thy ptp (Script sc) E l ay a v = 
  1491   (if 1 < length l
  1492    then 
  1493      let val up = drop_last l; 
  1494      in (nxt_up thy ptp (Script sc) E up ay (go up sc) a v ) end
  1495    else (*interpreted to end*)
  1496      if ay = Skip_ then Skip (v, E) else Napp E 
  1497 );
  1498 
  1499 (* decide for the next applicable stac in the script;
  1500    returns (stactic, value) - the value in case the script is finished 
  1501    12.8.02:         ~~~~~ and no assumptions ??? FIXME ???
  1502    20.8.02: must return p in case of finished, because the next script
  1503             consulted need not be the calling script:
  1504             in case of detail ie. _inserted_ PrfObjs, the next stac
  1505             has to searched in a script with PblObj.status<>Complete !
  1506             (.. not true for other details ..PrfObj ??????????????????
  1507    20.8.02: do NOT return safe (is only changed in locate !!!)
  1508 *)
  1509 fun next_tac (thy,_) (pt,p) (Rfuns {next_rule,...}) (RrlsState(f,f',rss,_), ctxt) =
  1510       let val ctxt = get_ctxt pt p
  1511       in
  1512         if f = f'
  1513         then (End_Detail' (f',[])(*8.6.03*), (Uistate, ctxt), 
  1514   		    (f', Sundef(*FIXME is no value of next_tac! vor 8.6.03*)))  (*finished*)
  1515         else
  1516           (case next_rule rss f of
  1517   	         NONE => (Empty_Tac_, (Uistate, ctxt), (e_term, Sundef))  (*helpless*)
  1518   	       | SOME (Thm (id,thm))(*8.6.03: muss auch f' liefern ?!!*) => 
  1519   	          (Rewrite' (thy, "e_rew_ord", e_rls,(*!?!8.6.03*) false,
  1520   			       (id, string_of_thmI thm), f,(e_term,[(*!?!8.6.03*)])),
  1521   	           (Uistate, ctxt), (e_term, Sundef)))                    (*next stac*)
  1522       end
  1523 
  1524   | next_tac thy (ptp as (pt, pos as (p, _)):ptree * pos') (sc as Script (h $ body)) 
  1525 	  (ScrState (E,l,a,v,s,b), ctxt) =
  1526       let val ctxt = get_ctxt pt pos (*WN110518 we have ctxt twice -- redesign*)
  1527       in
  1528         (case if l = [] 
  1529               then appy thy ptp E [R] body NONE v
  1530               else nstep_up thy ptp sc E l Skip_ a v of
  1531             Skip (v, _) =>                                            (*finished*)
  1532               (case par_pbl_det pt p of
  1533 	               (true, p', _) => 
  1534 	                  let val (_,pblID,_) = get_obj g_spec pt p';
  1535 	                  in (Check_Postcond' (pblID, (v, [(*assigned in next step*)])), 
  1536 	                    (e_istate, ctxt), (v,s)) 
  1537                     end
  1538 	             | (_, p', rls') => 
  1539                    (End_Detail' (e_term,[])(*8.6.03*), (e_istate, ctxt), (v,s)))
  1540          | Napp _ => (Empty_Tac_, (e_istate, ctxt), (e_term, Sundef)) (*helpless*)
  1541          | Appy (m', scrst as (_,_,_,v,_,_)) => 
  1542              (m', (ScrState scrst, ctxt), (v, Sundef)))               (*next stac*)
  1543       end
  1544 
  1545   | next_tac _ _ _ (is, _) = error ("next_tac: not impl for " ^ (istate2str is));
  1546 
  1547 
  1548 (*.create the initial interpreter state from the items of the guard.*)
  1549 fun init_scrstate thy itms metID =
  1550   let
  1551     val actuals = itms2args thy metID itms
  1552 	  val scr as Script sc = (#scr o get_met) metID
  1553     val formals = formal_args sc    
  1554 	  (*expects same sequence of (actual) args in itms and (formal) args in met*)
  1555 	  fun relate_args env [] [] = env
  1556 	    | relate_args env _ [] = 
  1557 	        error ("ERROR in creating the environment for '" ^
  1558 			    id_of_scr sc ^ "' from \nthe items of the guard of " ^
  1559 			    metID2str metID ^ ",\n" ^
  1560 			    "formal arg(s), from the script, miss actual arg(s), from the guards env:\n" ^
  1561 			    (string_of_int o length) formals ^
  1562 			    " formals: " ^ terms2str formals ^ "\n" ^
  1563 			    (string_of_int o length) actuals ^
  1564 			    " actuals: " ^ terms2str actuals)
  1565 	    | relate_args env [] actual_finds = env (*may drop Find!*)
  1566 	    | relate_args env (a::aa) (f::ff) = 
  1567 	        if type_of a = type_of f 
  1568 	        then relate_args (env @ [(a, f)]) aa ff
  1569           else 
  1570 	          error ("ERROR in creating the environment for '" ^
  1571 			      id_of_scr sc ^ "' from \nthe items of the guard of " ^
  1572 			      metID2str metID ^ ",\n" ^
  1573 			      "different types of formal arg, from the script, " ^
  1574 			      "and actual arg, from the guards env:'\n" ^
  1575 			      "formal: '" ^ term2str a ^ "::" ^ (type2str o type_of) a ^ "'\n" ^
  1576 			      "actual: '" ^ term2str f ^ "::" ^ (type2str o type_of) f ^ "'\n" ^
  1577 			      "in\n" ^
  1578 			      "formals: " ^ terms2str formals ^ "\n" ^
  1579 			      "actuals: " ^ terms2str actuals)
  1580      val env = relate_args [] formals actuals;
  1581      val ctxt = ProofContext.init_global thy |> declare_constraints' actuals
  1582      val {pre, prls, ...} = get_met metID;
  1583      val pres = check_preconds thy prls pre itms |> map snd;
  1584      val ctxt = ctxt |> insert_assumptions pres;
  1585    in (ScrState (env,[],NONE,e_term,Safe,true), ctxt, scr):istate * Proof.context * scr end;
  1586 
  1587 (* decide, where to get script/istate from:
  1588    (*1*) from PblObj.env: at begin of script if no init_form
  1589    (*2*) from PblObj/PrfObj: if stac is in the middle of the script
  1590    (*3*) from rls/PrfObj: in case of detail a ruleset *)
  1591 fun from_pblobj_or_detail' thy' (p,p_) pt =
  1592   let val ctxt = get_ctxt pt (p,p_)
  1593   in
  1594     if member op = [Pbl,Met] p_
  1595     then case get_obj g_env pt p of
  1596   	       NONE => error "from_pblobj_or_detail': no istate"
  1597   	     | SOME is =>
  1598   	         let
  1599                val metID = get_obj g_metID pt p
  1600   		         val {srls,...} = get_met metID
  1601   	         in (srls, is, (#scr o get_met) metID) end
  1602     else
  1603       let val (pbl,p',rls') = par_pbl_det pt p
  1604       in if pbl 
  1605          then                                                    (*2*)
  1606   	       let
  1607              val thy = assoc_thy thy'
  1608   	         val PblObj{meth=itms,...} = get_obj I pt p'
  1609 	           val metID = get_obj g_metID pt p'
  1610 	           val {srls,...} = get_met metID
  1611 	         in (*if last_elem p = 0 nothing written to pt yet*)
  1612 	           (srls, get_loc pt (p,p_), (#scr o get_met) metID)
  1613 	         end
  1614          else                                                    (*3*)
  1615 	         (e_rls, (*FIXME.WN0?: get from pbl or met !!! unused for Rrls in locate_gen, next_tac*)
  1616 	          get_loc pt (p,p_),
  1617 	            case rls' of
  1618 	  	          Rls {scr=scr,...} => scr
  1619 	            | Seq {scr=scr,...} => scr
  1620 	            | Rrls {scr=rfuns,...} => rfuns)
  1621       end
  1622   end;
  1623 
  1624 (*.get script and istate from PblObj, see                        (*1*) above.*)
  1625 fun from_pblobj' thy' (p,p_) pt =
  1626   let
  1627     val p' = par_pblobj pt p
  1628 	  val thy = assoc_thy thy'
  1629 	  val PblObj {meth=itms, ...} = get_obj I pt p'
  1630 	  val metID = get_obj g_metID pt p'
  1631 	  val {srls,scr,...} = get_met metID
  1632   in
  1633     if last_elem p = 0 (*nothing written to pt yet*)
  1634     then
  1635        let val (is, ctxt, scr) = init_scrstate thy itms metID
  1636 	     in (srls, (is, ctxt), scr) end
  1637        else (srls, get_loc pt (p,p_), scr)
  1638     end;
  1639     
  1640 (*.get the stactics and problems of a script as tacs
  1641   instantiated with the current environment;
  1642   l is the location which generated the given formula.*)
  1643 (*WN.12.5.03: quick-and-dirty repair for listexpressions*)
  1644 fun is_spec_pos Pbl = true
  1645   | is_spec_pos Met = true
  1646   | is_spec_pos _ = false;
  1647 
  1648 (*. fetch _all_ tactics from script .*)
  1649 fun sel_rules _ (([],Res):pos') = 
  1650     raise PTREE "no tactics applicable at the end of a calculation"
  1651 | sel_rules pt (p,p_) =
  1652   if is_spec_pos p_ 
  1653   then [get_obj g_tac pt p]
  1654   else
  1655     let val pp = par_pblobj pt p;
  1656 	val thy' = (get_obj g_domID pt pp):theory';
  1657 	val thy = assoc_thy thy';
  1658 	val metID = get_obj g_metID pt pp;
  1659 	val metID' =if metID =e_metID then(thd3 o snd3)(get_obj g_origin pt pp)
  1660 		     else metID
  1661 	val {scr=Script sc,srls,...} = get_met metID'
  1662 	val ScrState (env,_,a,v,_,_) = get_istate pt (p,p_);
  1663     in map ((stac2tac pt thy) o rep_stacexpr o #2 o
  1664 	    (handle_leaf "selrul" thy' srls env a v)) (stacpbls sc) end;
  1665 (*
  1666 > val Script sc = (#scr o get_met) ("SqRoot","sqrt-equ-test");
  1667 > val env = [((term_of o the o (parse (Thy_Info.get_theory "Isac"))) "bdv",
  1668              (term_of o the o (parse (Thy_Info.get_theory "Isac"))) "x")];
  1669 > map ((stac2tac pt thy) o #2 o(subst_stacexpr env NONE e_term)) (stacpbls sc);
  1670 *)
  1671 
  1672 
  1673 (*. fetch tactics from script and filter _applicable_ tactics;
  1674     in case of Rewrite_Set* go down to _atomic_ rewrite-tactics .*)
  1675 fun sel_appl_atomic_tacs _ (([],Res):pos') = 
  1676     raise PTREE "no tactics applicable at the end of a calculation"
  1677   | sel_appl_atomic_tacs pt (p,p_) =
  1678     if is_spec_pos p_ 
  1679     then [get_obj g_tac pt p]
  1680     else
  1681 	let val pp = par_pblobj pt p
  1682 	    val thy' = (get_obj g_domID pt pp):theory'
  1683 	    val thy = assoc_thy thy'
  1684 	    val metID = get_obj g_metID pt pp
  1685 	    val metID' =if metID = e_metID 
  1686 			then (thd3 o snd3) (get_obj g_origin pt pp)
  1687 			else metID
  1688 	    val {scr=Script sc,srls,erls,rew_ord'=ro,...} = get_met metID'
  1689 	    val ScrState (env,_,a,v,_,_) = get_istate pt (p,p_)
  1690 	    val alltacs = (*we expect at least 1 stac in a script*)
  1691 		map ((stac2tac pt thy) o rep_stacexpr o #2 o
  1692 		     (handle_leaf "selrul" thy' srls env a v)) (stacpbls sc)
  1693 	    val f = case p_ of
  1694 			Frm => get_obj g_form pt p
  1695 		      | Res => (fst o (get_obj g_result pt)) p
  1696 	(*WN071231 ? replace atomic_appl_tacs with applicable_in (ineff!) ?*)
  1697 	in (distinct o flat o 
  1698 	    (map (atomic_appl_tacs thy ro erls f))) alltacs end;
  1699 	
  1700 
  1701 (*
  1702 end
  1703 open Interpreter;
  1704 *)
  1705 
  1706 (* use"ME/script.sml";
  1707    use"script.sml";
  1708    *)