src/Tools/isac/Interpret/script.sml
author Walther Neuper <wneuper@ist.tugraz.at>
Thu, 22 Dec 2016 11:36:20 +0100
changeset 59279 255c853ea2f0
parent 59276 56dc790071cb
child 59281 bcfca6e8b79e
permissions -rw-r--r--
renamed Ctree.ptree --> Ctree.ctree
     1 (* Title:  interpreter for scripts
     2    Author: Walther Neuper 2000
     3    (c) due to copyright terms
     4 12345678901234567890123456789012345678901234567890123456789012345678901234567890
     5         10        20        30        40        50        60        70        80
     6 *)
     7 
     8 signature LUCAS_INTERPRETER =
     9 sig
    10 
    11   type step = Ctree.tac_ * Generate.mout * Ctree.ctree * Ctree.pos' * Ctree.pos' list
    12   datatype locate = NotLocatable | Steps of Ctree.istate * step list
    13   
    14   val next_tac : (*diss: next-tactic-function*)
    15     theory' * rls -> Ctree.ctree * Ctree.pos' -> scr -> Ctree.istate * 'a -> Ctree.tac_ * (Ctree.istate * 'a) * (term * Ctree.safe)
    16   val locate_gen : (*diss: locate-function*)
    17     theory' * rls -> Ctree.tac_ -> Ctree.ctree * Ctree.pos' -> scr * 'a -> Ctree.istate * Proof.context -> locate
    18 
    19 (* can these functions be local to Lucin or part of LItools ? *)
    20   val sel_rules : Ctree.ctree -> Ctree.pos' -> Ctree.tac list 
    21   val init_form : 'a -> scr -> (term * term) list -> term option
    22   val tac_2tac : Ctree.tac_ -> Ctree.tac
    23   val init_scrstate : theory -> itm list -> metID -> Ctree.istate * Proof.context * scr
    24   val from_pblobj' : theory' -> Ctree.pos' -> Ctree.ctree -> rls * (Ctree.istate * Proof.context) * scr
    25   val from_pblobj_or_detail' : theory' -> Ctree.pos' -> Ctree.ctree -> 
    26     rls * (Ctree.istate * Proof.context) * scr
    27   val rule2thm'' : rule -> thm''
    28   val rule2rls' : rule -> string
    29 
    30 (*/-------------------------------------------------------- ! aktivate for Test_Isac BEGIN ---\* )
    31   datatype asap = Aundef | AssOnly | AssGen
    32   datatype appy = Appy of Ctree.tac_ * Ctree.scrstate | Napp of env | Skip of term * env
    33   datatype appy_ = Napp_ | Skip_
    34   val appy : theory' * rls -> Ctree.ctree * Ctree.pos' -> env -> lrd list -> term -> term option -> term -> appy
    35   val formal_args : term -> term list
    36   val get_stac : 'a -> term -> term option 
    37   val go : loc_ -> term -> term
    38   val handle_leaf : string -> theory' -> rls -> env -> term option -> term -> term -> 
    39     term option * stacexpr
    40   val id_of_scr : term -> string
    41    val is_spec_pos : Ctree.pos_ -> bool
    42   val itms2args : 'a -> metID -> itm list -> term list
    43   val nstep_up : theory' * rls -> Ctree.ctree * Ctree.pos' -> scr -> env -> lrd list -> appy_ -> 
    44     term option -> term -> appy
    45   val sel_appl_atomic_tacs : Ctree.ctree -> Ctree.pos' -> Ctree.tac list
    46   val stac2tac : Ctree.ctree -> theory -> term -> Ctree.tac
    47   val stac2tac_ : Ctree.ctree -> theory -> term -> Ctree.tac * Ctree.tac_
    48   val upd_env_opt : env -> term option * term -> env
    49 ( *\--- ! aktivate for Test_Isac END ----------------------------------------------------------/*)
    50 end 
    51 
    52 (* traces the leaves (ie. non-tactical nodes) of Prog found by next_tac, see "and scr" *)   
    53 val trace_script = Unsynchronized.ref false; (* TODO: how are traces done in Isabelle? *)
    54 
    55 (**)
    56 structure Lucin(**): LUCAS_INTERPRETER(**) =
    57 struct
    58 open Ctree
    59 
    60 (**)
    61 (* data for creating a new node in ctree; designed for use as:
    62    fun ass* scrstate steps = / ... case ass* scrstate steps of /
    63    Assoc (scrstate, steps) => ... ass* scrstate steps *)
    64 type step =
    65     tac_         (*transformed from associated tac                   *)
    66     * Generate.mout (*result with indentation etc.                      *)
    67     * ctree      (*containing node created by tac_ + resp. scrstate  *)
    68     * pos'       (*position in ctree; ctree * pos' is the proofstate *)
    69     * pos' list; (*of ctree-nodes probably cut (by fst tac_)         *)
    70 
    71 fun rule2thm'' (Thm (id, thm)) = (id, thm) : thm''
    72   | rule2thm'' r = error ("rule2thm': not defined for " ^ rule2str r);
    73 fun rule2rls' (Rls_ rls) = id_rls rls
    74   | rule2rls' r = error ("rule2rls': not defined for " ^ rule2str r);
    75 
    76 (*.makes a (rule,term) list to a Step (m, mout, pt', p', cid) for solve;
    77    complicated with current t in rrlsstate.*)
    78 fun rts2steps steps ((pt, p), (f, f'', rss, rts), (thy', ro, er, pa)) [(r, (f', am))] =
    79       let
    80         val thy = assoc_thy thy'
    81         val ctxt = get_ctxt pt p |> insert_assumptions am
    82 	      val m = Rewrite' (thy', ro, er, pa, rule2thm'' r, f, (f', am))
    83 	      val is = RrlsState (f', f'', rss, rts)
    84 	      val p = case p of (_, Frm) => p | (p', Res) => (lev_on p', Res) | _ => error "rts2steps: p1"
    85 	      val (p', cid, mout, pt') = Generate.generate1 thy m (is, ctxt) p pt
    86       in (is, (m, mout, pt', p', cid) :: steps) end
    87   | rts2steps steps ((pt, p) ,(f, f'', rss, rts), (thy', ro, er, pa)) ((r, (f', am)) :: rts') =
    88       let
    89         val thy = assoc_thy thy'
    90         val ctxt = get_ctxt pt p |> insert_assumptions am
    91 	      val m = Rewrite' (thy', ro, er, pa, rule2thm'' r, f, (f', am))
    92 	      val is = RrlsState (f', f'', rss, rts)
    93 	      val p = case p of (_, Frm) => p | (p', Res) => (lev_on p', Res) | _ => error "rts2steps: p1"
    94 	      val (p', cid, mout, pt') = Generate.generate1 thy m (is, ctxt) p pt
    95       in rts2steps ((m, mout, pt', p', cid)::steps) 
    96 		    ((pt', p'), (f', f'', rss, rts), (thy', ro, er, pa)) rts'
    97 		  end
    98   | rts2steps _ _ _ = error "rts2steps: uncovered fun-def"
    99 
   100 (* functions for the environment stack: NOT YET IMPLEMENTED
   101 fun accessenv id es = the (assoc ((top es) : env, id))
   102     handle _ => error ("accessenv: " ^ free2str id ^ " not in env");
   103 fun updateenv id vl (es : env stack) = 
   104     (push (overwrite(top es, (id, vl))) (pop es)) : env stack;
   105 fun pushenv id vl (es : env stack) = 
   106     (push (overwrite(top es, (id, vl))) es) : env stack;
   107 val popenv = pop : env stack -> env stack;
   108 *)
   109 
   110 fun de_esc_underscore str =
   111   let
   112     fun scan [] = []
   113     | scan (s :: ss) = if s = "'" then (scan ss) else (s :: (scan ss))
   114   in (implode o scan o Symbol.explode) str end;
   115 
   116 (*go at a location in a script and fetch the contents*)
   117 fun go [] t = t
   118   | go (D::p) (Abs(_, _, t0)) = go (p : loc_) t0
   119   | go (L::p) (t1 $ _) = go p t1
   120   | go (R::p) (_ $ t2) = go p t2
   121   | go l _ = error ("go: no " ^ loc_2str l);
   122 
   123 (*.get argument of first stactic in a script for init_form.*)
   124 fun get_stac thy (_ $ body) =
   125   let
   126     fun get_t y (Const ("Script.Seq",_) $ e1 $ e2) a = 
   127     	  (case get_t y e1 a of NONE => get_t y e2 a | la => la)
   128       | get_t y (Const ("Script.Seq",_) $ e1 $ e2 $ a) _ = 
   129     	  (case get_t y e1 a of NONE => get_t y e2 a | la => la)
   130       | get_t y (Const ("Script.Try",_) $ e) a = get_t y e a
   131       | get_t y (Const ("Script.Try",_) $ e $ a) _ = get_t y e a
   132       | get_t y (Const ("Script.Repeat",_) $ e) a = get_t y e a
   133       | get_t y (Const ("Script.Repeat",_) $ e $ a) _ = get_t y e a
   134       | get_t y (Const ("Script.Or",_) $e1 $ e2) a =
   135     	  (case get_t y e1 a of NONE => get_t y e2 a | la => la)
   136       | get_t y (Const ("Script.Or",_) $e1 $ e2 $ a) _ =
   137     	  (case get_t y e1 a of NONE => get_t y e2 a | la => la)
   138       | get_t y (Const ("Script.While",_) $ _ $ e) a = get_t y e a
   139       | get_t y (Const ("Script.While",_) $ _ $ e $ a) _ = get_t y e a
   140       | get_t y (Const ("Script.Letpar",_) $ e1 $ Abs (_, _, e2)) a = 
   141     	  (case get_t y e1 a of NONE => get_t y e2 a | la => la)
   142     (*| get_t y (Const ("HOL.Let",_) $ e1 $ Abs (_,_,e2)) a =
   143 	      (case get_t y e1 a of NONE => get_t y e2 a | la => la)
   144       | get_t y (Abs (_,_,e)) a = get_t y e a*)
   145       | get_t y (Const ("HOL.Let",_) $ e1 $ Abs (_, _, _)) a =
   146     	get_t y e1 a (*don't go deeper without evaluation !*)
   147       | get_t _ (Const ("If", _) $ _ $ _ $ _) _ = NONE
   148     	(*(case get_t y e1 a of NONE => get_t y e2 a | la => la)*)
   149     
   150       | get_t _ (Const ("Script.Rewrite",_) $ _ $ _ $ a) _ = SOME a
   151       | get_t _ (Const ("Script.Rewrite",_) $ _ $ _    ) a = SOME a
   152       | get_t _ (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ $ a) _ = SOME a
   153       | get_t _ (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ )    a = SOME a
   154       | get_t _ (Const ("Script.Rewrite'_Set",_) $ _ $ _ $ a) _ = SOME a
   155       | get_t _ (Const ("Script.Rewrite'_Set",_) $ _ $ _ )    a = SOME a
   156       | get_t _ (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ $a)_ =SOME a
   157       | get_t _ (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ )  a =SOME a
   158       | get_t _ (Const ("Script.Calculate",_) $ _ $ a) _ = SOME a
   159       | get_t _ (Const ("Script.Calculate",_) $ _ )    a = SOME a
   160     
   161       | get_t _ (Const ("Script.Substitute",_) $ _ $ a) _ = SOME a
   162       | get_t _ (Const ("Script.Substitute",_) $ _ )    a = SOME a
   163     
   164       | get_t _ (Const ("Script.SubProblem",_) $ _ $ _) _ = NONE
   165 
   166       | get_t _ _ _ = ((*tracing ("### get_t yac: list-expr "^(term2str x));*) NONE)
   167     in get_t thy body e_term end
   168   | get_stac _ t = error ("get_stac: no fun-def. for " ^ term2str t);
   169     
   170 fun init_form thy (Prog sc) env =
   171     (case get_stac thy sc of NONE => NONE | SOME stac => SOME (subst_atomic env stac))
   172   | init_form _ _ _ = error "init_form: no match";
   173 
   174 (* get the arguments of the script out of the scripts parsetree *)
   175 fun formal_args scr = (fst o split_last o snd o strip_comb) scr;
   176 
   177 (* get the identifier of the script out of the scripts parsetree *)
   178 fun id_of_scr sc = (id_of o fst o strip_comb) sc;
   179 
   180 (*WN020526: not clear, when a is available in ass_up for eval_true*)
   181 (*WN060906: in "fun handle_leaf" eg. uses "SOME M__"(from some PREVIOUS
   182   curried Rewrite) for CURRENT value (which may be different from PREVIOUS);
   183   thus "NONE" must be set at the end of currying (ill designed anyway)*)
   184 fun upd_env_opt env (SOME a, v) = upd_env env (a, v)
   185   | upd_env_opt env (NONE, _) = 
   186       ((*tracing ("*** upd_env_opt: (NONE," ^ term2str v ^ ")");*) env);
   187 
   188 type dsc = typ; (* <-> nam..unknow in Descript.thy *)
   189 
   190 (*.create the actual parameters (args) of script: their order 
   191   is given by the order in met.pat .*)
   192 (*WN.5.5.03: ?: does this allow for different descriptions ???
   193              ?: why not taken from formal args of script ???
   194 !: FIXXXME penv: push it here in itms2args into script-evaluation*)
   195 (* val (thy, mI, itms) = (thy, metID, itms);
   196    *)
   197 val errmsg = "ERROR: the guard is missing (#ppc in 'type met' added in prep_met)."
   198 fun itms2args _ mI (itms : itm list) =
   199   let
   200     val mvat = max_vt itms
   201     fun okv mvat (_, vats, b, _, _) = member op = vats mvat andalso b
   202     val itms = filter (okv mvat) itms
   203     fun test_dsc d (_, _, _, _, itm_) = (d = d_in itm_)
   204     fun itm2arg itms (_,(d,_)) =
   205         case find_first (test_dsc d) itms of
   206           NONE => error ("itms2args: '" ^ term2str d ^ "' not in itms")
   207         | SOME (_, _, _, _, itm_) => penvval_in itm_
   208       (*| SOME (_,_,_,_,itm_) => mk_arg thy (d_in itm_) (ts_in itm_);
   209             penv postponed; presently penv holds already env for script*)
   210     val pats = (#ppc o Specify.get_met) mI
   211     val _ = if pats = [] then raise ERROR errmsg else ()
   212   in (flat o (map (itm2arg itms))) pats end;
   213 
   214 (* convert a script-tac 'stac' to a tactic 'tac';
   215    if stac is an initac, then convert to a 'tac_' (as required in appy).
   216    arg ctree for pushing the thy specified in rootpbl into subpbls    *)
   217 fun stac2tac_ _ thy (Const ("Script.Rewrite", _) $ Free (thmID, _) $ _ $ _) =
   218     let
   219       val tid = (de_esc_underscore o strip_thy) thmID
   220     in (Rewrite (tid, assoc_thm'' thy tid), Empty_Tac_) end
   221   | stac2tac_ _ thy (Const ("Script.Rewrite'_Inst", _) $ sub $ Free (thmID, _) $ _ $ _) =
   222     let
   223       val subML = ((map isapair2pair) o isalist2list) sub
   224       val subStr = subst2subs subML
   225       val tid = (de_esc_underscore o strip_thy) thmID (*4.10.02 unnoetig*)
   226     in (Rewrite_Inst (subStr, (tid, assoc_thm'' thy tid)), Empty_Tac_) end
   227   | stac2tac_ _ _ (Const ("Script.Rewrite'_Set",_) $ Free (rls, _) $ _ $ _) =
   228      (Rewrite_Set ((de_esc_underscore o strip_thy) rls), Empty_Tac_)
   229   | stac2tac_ _ _ (Const ("Script.Rewrite'_Set'_Inst", _) $ sub $ Free (rls, _) $ _ $ _) =
   230     let
   231       val subML = ((map isapair2pair) o isalist2list) sub;
   232       val subStr = subst2subs subML;
   233     in (Rewrite_Set_Inst (subStr, rls), Empty_Tac_) end
   234   | stac2tac_ _ _ (Const ("Script.Calculate", _) $ Free (op_, _) $ _) = (Calculate op_, Empty_Tac_)
   235   | stac2tac_ _ _ (Const ("Script.Take", _) $ t) = (Take (term2str t), Empty_Tac_)
   236   | stac2tac_ _ _ (Const ("Script.Substitute", _) $ isasub $ _) =
   237     (Substitute ((subte2sube o isalist2list) isasub), Empty_Tac_)
   238   | stac2tac_ _ thy (Const("Script.Check'_elementwise", _) $ _ $ 
   239     (Const ("Set.Collect", _) $ Abs (_, _, pred))) =
   240       (Check_elementwise (term_to_string''' thy pred), Empty_Tac_)
   241   | stac2tac_ _ _ (Const("Script.Or'_to'_List", _) $ _ ) = (Or_to_List, Empty_Tac_)
   242   | stac2tac_ _ _ (Const ("Script.Tac", _) $ Free (str, _)) = 
   243     (Tac ((de_esc_underscore o strip_thy) str),  Empty_Tac_) 
   244 
   245     (*compare "| assod _ (Subproblem'"*)
   246   | stac2tac_ pt _ (stac as Const ("Script.SubProblem",_) $
   247 	  (Const ("Product_Type.Pair",_) $Free (dI', _) $ (Const ("Product_Type.Pair", _) $ pI' $ mI')) $ 
   248 	    ags') =
   249     let
   250       val dI = ((implode o drop_last(*.."'"*) o Symbol.explode) dI')(*^""*);
   251       val thy = maxthy (assoc_thy dI) (rootthy pt);
   252 	    val pI = ((map (de_esc_underscore o free2str)) o isalist2list) pI';
   253 	    val mI = ((map (de_esc_underscore o free2str)) o isalist2list) mI';
   254 	    val ags = isalist2list ags';
   255 	    val (pI, pors, mI) = 
   256 	      if mI = ["no_met"] 
   257 	      then
   258           let
   259             val pors = (Chead.match_ags thy ((#ppc o Specify.get_pbt) pI) ags)
   260 		          handle ERROR "actual args do not match formal args" 
   261 			        => (Chead.match_ags_msg pI stac ags(*raise exn*); [])
   262 		        val pI' = Specify.refine_ori' pors pI;
   263 		      in (pI', pors (* refinement over models with diff.prec only *), 
   264 		          (hd o #met o Specify.get_pbt) pI') end
   265 	      else (pI, (Chead.match_ags thy ((#ppc o Specify.get_pbt) pI) ags)
   266 		      handle ERROR "actual args do not match formal args"
   267 		      => (Chead.match_ags_msg pI stac ags(*raise exn*); []), mI);
   268       val (fmz_, vals) = Chead.oris2fmz_vals pors;
   269 	    val {cas,ppc,thy,...} = Specify.get_pbt pI
   270 	    val dI = theory2theory' thy (*.take dI from _refined_ pbl.*)
   271 	    val dI = theory2theory' (maxthy (assoc_thy dI) (rootthy pt));
   272       val ctxt = dI |> Thy_Info.get_theory |> Proof_Context.init_global |> declare_constraints' vals
   273 	    val hdl =
   274         case cas of
   275 		      NONE => pblterm dI pI
   276 		    | SOME t => subst_atomic ((Chead.vars_of_pbl_' ppc) ~~~ vals) t
   277       val f = subpbl (strip_thy dI) pI
   278     in (Subproblem (dI, pI),	Subproblem' ((dI, pI, mI), pors, hdl, fmz_, ctxt, f))
   279     end
   280   | stac2tac_ _ thy t = error ("stac2tac_ TODO: no match for " ^ term_to_string''' thy t);
   281 
   282 fun stac2tac pt thy t = (fst o stac2tac_ pt thy) t;
   283 
   284 datatype ass = 
   285     Ass of
   286       tac_ *   (* SubProblem gets args instantiated in assod *)
   287   	  term     (* for itr_arg, result in ets *)
   288   | AssWeak of
   289       tac_ *
   290   	  term     (*for itr_arg,result in ets*)
   291   | NotAss;
   292 
   293 (* check if tac_ is associated with stac.
   294    Additional task: check if term t (the result has been calculated from) in tac_
   295    has been changed (see "datatype tac_"); if yes, recalculate result
   296    TODO.WN120106 recalculate impl.only for Substitute'
   297 args
   298   pt     : ctree for pushing the thy specified in rootpbl into subpbls
   299   d      : unused (planned for data for comparison)
   300   tac_   : from user (via applicable_in); to be compared with ...
   301   stac   : found in Script
   302 returns
   303   Ass    : associated: e.g. thmID in stac = thmID in m
   304                        +++ arg   in stac = arg   in m
   305   AssWeak: weakly ass.:e.g. thmID in stac = thmID in m, //arg//
   306   NotAss :             e.g. thmID in stac/=/thmID in m (not =)
   307 *)
   308 fun assod _ _ (m as Rewrite_Inst' (_, _, _, _, _, thm'' as (thmID, _), f, (f', _))) stac =
   309     (case stac of
   310 	    (Const ("Script.Rewrite'_Inst", _) $ _ $ Free (thmID_, _) $ _ $ f_) =>
   311 	      if thmID = thmID_
   312         then 
   313 	        if f = f_ 
   314           then ((*tracing"3### assod ..Ass";*) Ass (m,f')) 
   315 	        else ((*tracing"3### assod ..AssWeak";*) AssWeak(m, f'))
   316 	      else ((*tracing"3### assod ..NotAss";*) NotAss)
   317     | (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ Free (rls_, _) $ _ $ f_) =>
   318 	      if Rtools.contains_rule (Thm thm'') (assoc_rls rls_)
   319         then if f = f_ then Ass (m,f') else AssWeak (m,f')
   320 	      else NotAss
   321     | _ => NotAss)
   322   | assod _ _ (m as Rewrite' (_, _, _, _, thm'' as (thmID, _), f, (f', _))) stac =
   323     (case stac of
   324 	    (Const ("Script.Rewrite", _) $ Free (thmID_, _) $ _ $ f_) =>
   325 	      ((*tracing ("3### assod: stac = " ^ ter2str t);
   326 	       tracing ("3### assod: f(m)= " ^ term2str f);*)
   327 	      if thmID = thmID_
   328         then 
   329 	        if f = f_
   330           then ((*tracing"3### assod ..Ass";*) Ass (m,f')) 
   331 	        else 
   332             ((*tracing"### assod ..AssWeak";
   333 		         tracing("### assod: f(m)  = " ^ term2str f);
   334 		         tracing("### assod: f(stac)= " ^ term2str f_)*)
   335 		         AssWeak (m,f'))
   336 	      else ((*tracing"3### assod ..NotAss";*) NotAss))
   337     | (Const ("Script.Rewrite'_Set", _) $ Free (rls_, _) $ _ $ f_) =>
   338 	       if Rtools.contains_rule (Thm thm'') (assoc_rls rls_)
   339          then if f = f_ then Ass (m, f') else AssWeak (m, f')
   340 	       else NotAss
   341     | _ => NotAss)
   342   | assod _ _ (m as Rewrite_Set_Inst' (_, _, _, rls, f, (f', _))) 
   343       (Const ("Script.Rewrite'_Set'_Inst", _) $ _ $ Free (rls_, _) $ _ $ f_) = 
   344     if id_rls rls = rls_ 
   345     then if f = f_ then Ass (m, f') else AssWeak (m ,f')
   346     else NotAss
   347   | assod _ _ (m as Detail_Set_Inst' (_, _, _, rls, f, (f',_))) 
   348       (Const ("Script.Rewrite'_Set'_Inst", _) $ _ $ Free (rls_, _) $ _ $ f_) = 
   349     if id_rls rls = rls_
   350     then if f = f_ then Ass (m, f') else AssWeak (m, f')
   351     else NotAss
   352   | assod _ _ (m as Rewrite_Set' (_, _, rls, f, (f', _))) 
   353       (Const ("Script.Rewrite'_Set", _) $ Free (rls_, _) $ _ $ f_) = 
   354     if id_rls rls = rls_
   355     then if f = f_ then Ass (m, f') else AssWeak (m, f')
   356     else NotAss
   357   | assod _ _ (m as Detail_Set' (_, _, rls, f, (f', _))) 
   358       (Const ("Script.Rewrite'_Set", _) $ Free (rls_, _) $ _ $ f_) = 
   359     if id_rls rls = rls_
   360     then if f = f_ then Ass (m, f') else AssWeak (m, f')
   361     else NotAss
   362   | assod _ _ (m as Calculate' (_, op_, f, (f', _))) stac =
   363     (case stac of
   364 	    (Const ("Script.Calculate",_) $ Free (op__,_) $ f_) =>
   365 	      if op_ = op__
   366         then if f = f_ then Ass (m, f') else AssWeak (m, f')
   367 	      else NotAss
   368     | (Const ("Script.Rewrite'_Set'_Inst", _) $ _ $ Free(rls_,_) $_$f_)  =>
   369         let val thy = assoc_thy "Isac";
   370         in
   371           if Rtools.contains_rule (Calc (assoc_calc' thy op_ |> snd)) (assoc_rls rls_)
   372           then if f = f_ then Ass (m, f') else AssWeak (m, f')
   373           else NotAss
   374         end
   375     | (Const ("Script.Rewrite'_Set",_) $ Free (rls_, _) $ _ $ f_) =>
   376         let val thy = assoc_thy "Isac";
   377         in
   378           if Rtools.contains_rule (Calc (assoc_calc' thy op_ |> snd)) (assoc_rls rls_)
   379           then if f = f_ then Ass (m,f') else AssWeak (m,f')
   380           else NotAss
   381         end
   382     | _ => NotAss)
   383   | assod _ _ (m as Check_elementwise' (consts, _, (consts_chkd, _)))
   384       (Const ("Script.Check'_elementwise",_) $ consts' $ _) =
   385     if consts = consts'
   386     then Ass (m, consts_chkd)
   387     else NotAss
   388   | assod _ _ (m as Or_to_List' (_, list)) (Const ("Script.Or'_to'_List", _) $ _) = Ass (m, list) 
   389   | assod _ _ (m as Take' term) (Const ("Script.Take", _) $ _) = Ass (m, term)
   390   | assod _ _ (m as Substitute' (ro, erls, subte, f, f')) (Const ("Script.Substitute", _) $ _ $ t) =
   391 	  if f = t then Ass (m, f')
   392 	  else (*compare | applicable_in (p,p_) pt (m as Substitute sube)*)
   393 		  if foldl and_ (true, map contains_Var subte)
   394 		  then
   395 		    let val t' = subst_atomic (map HOLogic.dest_eq subte (*TODO subte2subst*)) t
   396 		    in if t = t' then error "assod: Substitute' not applicable to val of Expr"
   397 		       else Ass (Substitute' (ro, erls, subte, t, t'), t')
   398 		    end
   399 		  else (case rewrite_terms_ (Isac()) ro erls subte t of
   400 		         SOME (t', _) =>  Ass (Substitute' (ro, erls, subte, t, t'), t')
   401 		       | NONE => error "assod: Substitute' not applicable to val of Expr")
   402   | assod _ _ (m as Tac_ (thy, _, id, f')) (Const ("Script.Tac",_) $ Free (id', _)) =
   403     if id = id'
   404     then Ass (m, ((Thm.term_of o the o (parse thy)) f'))
   405     else NotAss
   406 
   407     (*compare "| stac2tac_ thy (Const ("Script.SubProblem",_)"*)
   408   | assod pt _ (Subproblem' ((domID, pblID, _), _, _, _, _, _))
   409 	    (stac as Const ("Script.SubProblem",_) $ (Const ("Product_Type.Pair",_) $
   410 		    Free (dI',_) $ (Const ("Product_Type.Pair",_) $ pI' $ mI')) $ ags') =
   411     let 
   412       val dI = ((implode o drop_last(*.."'"*) o Symbol.explode) dI')(*^""*);
   413       val thy = maxthy (assoc_thy dI) (rootthy pt);
   414 	    val pI = ((map (de_esc_underscore o free2str)) o isalist2list) pI';
   415 	    val mI = ((map (de_esc_underscore o free2str)) o isalist2list) mI';
   416 	    val ags = isalist2list ags';
   417 	    val (pI, pors, mI) = 
   418 	      if mI = ["no_met"] 
   419 	      then
   420           let
   421             val pors = (Chead.match_ags thy ((#ppc o Specify.get_pbt) pI) ags)
   422 		          handle ERROR "actual args do not match formal args"
   423 			          => (Chead.match_ags_msg pI stac ags(*raise exn*);[]);
   424 		        val pI' = Specify.refine_ori' pors pI;
   425 		      in (pI', pors (*refinement over models with diff.prec only*), (hd o #met o Specify.get_pbt) pI')
   426           end
   427 	      else (pI, (Chead.match_ags thy ((#ppc o Specify.get_pbt) pI) ags)
   428 		      handle ERROR "actual args do not match formal args"
   429 		      => (Chead.match_ags_msg pI stac ags(*raise exn*); []), mI);
   430       val (fmz_, vals) = Chead.oris2fmz_vals pors;
   431 	    val {cas, ppc, thy, ...} = Specify.get_pbt pI
   432 	    val dI = theory2theory' thy (*take dI from _refined_ pbl*)
   433 	    val dI = theory2theory' (maxthy (assoc_thy dI) (rootthy pt))
   434 	    val ctxt = dI |> Thy_Info.get_theory |> Proof_Context.init_global |> declare_constraints' vals
   435 	    val hdl = 
   436         case cas of
   437 		      NONE => pblterm dI pI
   438 		    | SOME t => subst_atomic ((Chead.vars_of_pbl_' ppc) ~~~ vals) t
   439       val f = subpbl (strip_thy dI) pI
   440     in 
   441       if domID = dI andalso pblID = pI
   442       then Ass (Subproblem' ((dI, pI, mI), pors, hdl, fmz_, ctxt, f), f) 
   443       else NotAss
   444     end
   445   | assod _ _ m _ = 
   446     (if (!trace_script) 
   447      then tracing("@@@ the 'tac_' proposed to apply does NOT match the leaf found in the script:\n"
   448 		   ^ "@@@ tac_ = " ^ tac_2str m)
   449      else ();
   450     NotAss);
   451 
   452 fun tac_2tac (Refine_Tacitly' (pI, _, _, _, _)) = Refine_Tacitly pI
   453   | tac_2tac (Model_Problem' (_, _, _)) = Model_Problem
   454   | tac_2tac (Add_Given' (t, _)) = Add_Given t
   455   | tac_2tac (Add_Find' (t, _)) = Add_Find t
   456   | tac_2tac (Add_Relation' (t, _)) = Add_Relation t
   457  
   458   | tac_2tac (Specify_Theory' dI) = Specify_Theory dI
   459   | tac_2tac (Specify_Problem' (dI, _)) = Specify_Problem dI
   460   | tac_2tac (Specify_Method' (dI, _, _)) = Specify_Method dI
   461   
   462   | tac_2tac (Rewrite' (_, _, _, _, thm, _, _)) = Rewrite thm
   463   | tac_2tac (Rewrite_Inst' (_, _, _, _, sub, thm, _, _)) = Rewrite_Inst (subst2subs sub, thm)
   464 
   465   | tac_2tac (Rewrite_Set' (_, _, rls, _, _)) = Rewrite_Set (id_rls rls)
   466   | tac_2tac (Detail_Set' (_, _, rls, _, _)) = Detail_Set (id_rls rls)
   467 
   468   | tac_2tac (Rewrite_Set_Inst' (_, _, sub, rls, _, _)) = 
   469     Rewrite_Set_Inst (subst2subs sub,id_rls rls)
   470   | tac_2tac (Detail_Set_Inst' (_, _, sub, rls, _, _)) = 
   471     Detail_Set_Inst (subst2subs sub,id_rls rls)
   472 
   473   | tac_2tac (Calculate' (_, op_, _, _)) = Calculate (op_)
   474   | tac_2tac (Check_elementwise' (_, pred, _)) = Check_elementwise pred
   475 
   476   | tac_2tac (Or_to_List' _) = Or_to_List
   477   | tac_2tac (Take' term) = Take (term2str term)
   478   | tac_2tac (Substitute' (_, _, subte, _, _)) = Substitute (subte2sube subte) 
   479   | tac_2tac (Tac_ (_, _, id, _)) = Tac id
   480 
   481   | tac_2tac (Subproblem' ((domID, pblID, _), _, _, _,_ ,_)) = Subproblem (domID, pblID)
   482   | tac_2tac (Check_Postcond' (pblID, _)) = Check_Postcond pblID
   483   | tac_2tac Empty_Tac_ = Empty_Tac
   484   | tac_2tac m = error ("tac_2tac: not impl. for "^(tac_2str m));
   485 
   486 val idT = Type ("Script.ID", []);
   487 
   488 fun make_rule thy t =
   489   let val ct = Thm.global_cterm_of thy (Trueprop $ t)
   490   in Thm (term_to_string''' thy (Thm.term_of ct), Thm.make_thm ct) end;
   491 
   492 fun rep_tac_ (Rewrite_Inst' (thy', _, _, put, subs, (thmID, _), f, (f', _))) = 
   493     let val fT = type_of f;
   494       val b = if put then @{term True} else @{term False};
   495       val sT = (type_of o fst o hd) subs;
   496       val subs' = list2isalist (HOLogic.mk_prodT (sT, sT)) (map HOLogic.mk_prod subs);
   497       val sT' = type_of subs';
   498       val lhs = Const ("Script.Rewrite'_Inst", [sT', idT, bool, fT] ---> fT) 
   499         $ subs' $ Free (thmID, idT) $ b $ f;
   500     in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs, f'), (lhs, f')) end
   501   | rep_tac_ (Rewrite' (thy', _, _, put, (thmID, _), f, (f', _)))=
   502     let 
   503       val fT = type_of f;
   504       val b = if put then @{term True} else @{term False};
   505       val lhs = Const ("Script.Rewrite", [idT, HOLogic.boolT, fT] ---> fT)
   506         $ Free (thmID, idT) $ b $ f;
   507     in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs, f'), (lhs, f')) end
   508   | rep_tac_ (Rewrite_Set_Inst' (_, _, _, _, _, (f', _))) = (e_rule, (e_term, f'))
   509   | rep_tac_ (Rewrite_Set' (thy', put, rls, f, (f', _))) =
   510     let 
   511       val fT = type_of f;
   512       val b = if put then @{term True} else @{term False};
   513       val lhs = Const ("Script.Rewrite'_Set", [idT, bool, fT] ---> fT) 
   514         $ Free (id_rls rls, idT) $ b $ f;
   515     in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
   516   | rep_tac_ (Calculate' (thy', op_, f, (f', _)))=
   517     let
   518       val fT = type_of f;
   519       val lhs = Const ("Script.Calculate",[idT,fT] ---> fT) $ Free (op_,idT) $ f
   520     in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
   521   | rep_tac_ (Check_elementwise' (_, _, (t', _))) = (Erule, (e_term, t'))
   522   | rep_tac_ (Subproblem' (_, _, _, _, _, t')) = (Erule, (e_term, t'))
   523   | rep_tac_ (Take' t') = (Erule, (e_term, t'))
   524   | rep_tac_ (Substitute' (_, _, _, t, t')) = (Erule, (t, t'))
   525   | rep_tac_ (Or_to_List' (t, t')) = (Erule, (t, t'))
   526   | rep_tac_ m = error ("rep_tac_: not impl.for " ^ tac_2str m)
   527 
   528 fun tac_2res m = (snd o snd o rep_tac_) m;
   529 
   530 (* handle a leaf at the end of recursive descent:
   531    a leaf is either a tactic or an 'expr' in "let v = expr"
   532    where "expr" does not contain a tactic.
   533    Handling a leaf comprises
   534    (1) 'subst_stacexpr' substitute env and complete curried tactic
   535    (2) rewrite the leaf by 'srls'
   536 *)
   537 fun handle_leaf call thy srls E a v t =
   538       (*WN050916 'upd_env_opt' is a blind copy from previous version*)
   539     case subst_stacexpr E a v t of
   540 	    (a', STac stac) => (*script-tactic*)
   541 	      let val stac' =
   542             eval_listexpr_ (assoc_thy thy) srls (subst_atomic (upd_env_opt E (a,v)) stac)
   543 	      in
   544           (if (! trace_script) 
   545 	         then tracing ("@@@ "^call^" leaf '"^term2str t^"' ---> STac '"^term2str stac ^"'")
   546 	         else ();
   547 	         (a', STac stac'))
   548 	      end
   549     | (a', Expr lexpr) => (*leaf-expression*)
   550 	      let val lexpr' =
   551             eval_listexpr_ (assoc_thy thy) srls (subst_atomic (upd_env_opt E (a,v)) lexpr)
   552 	      in
   553           (if (! trace_script) 
   554 	         then tracing("@@@ "^call^" leaf '"^term2str t^"' ---> Expr '"^term2str lexpr'^"'")
   555 	         else ();
   556 	         (a', Expr lexpr')) (*lexpr' is the value of the Expr*)
   557 	      end;
   558 
   559 (** locate an applicable stac in a script **)
   560 datatype assoc = (* ExprVal in the sense of denotational semantics               *)
   561   Assoc of       (* the stac is associated, strongly or weakly                   *)
   562   scrstate *     (* the current; returned for next_tac etc. outside ass*         *)  
   563   (step list)    (* list of steps done until associated stac found;
   564 	                  initiated with the data for doing the 1st step,
   565                     thus the head holds these data further on,
   566 		                while the tail holds steps finished (incl.scrstate in ctree) *)
   567 | NasApp of      (* stac not associated, but applicable, ctree-node generated    *)
   568   scrstate * (step list)
   569 | NasNap of      (* stac not associated, not applicable, nothing generated;
   570 	                  for distinction in Or, for leaving iterations, leaving Seq,
   571 		                evaluate scriptexpressions                                   *)
   572   term * env;
   573 fun assoc2str (Assoc _) = "Assoc"
   574   | assoc2str (NasNap _) = "NasNap"
   575   | assoc2str (NasApp _) = "NasApp";
   576 
   577 datatype asap = (* arg. of assy _only_ for distinction w.r.t. Or                 *)
   578   Aundef        (* undefined: set only by (topmost) Or                           *)
   579 | AssOnly       (* do not execute appl stacs - there could be an associated
   580 	                 in parallel Or-branch                                         *)
   581 | AssGen;       (* no Ass(Weak) found within Or, thus 
   582                    search for _applicable_ stacs, execute and generate pt        *)
   583 (*this constructions doesnt allow arbitrary nesting of Or !!!                    *)
   584 
   585 (* assy, ass_up, astep_up scan for locate_gen in a script.
   586    search is clearly separated into (1)-(2):
   587    (1) assy is recursive descent;
   588    (2) ass_up resumes interpretation at a location somewhere in the script;
   589        astep_up does only get to the parentnode of the scriptexpr.
   590    consequence:
   591    * call of (2) means _always_ that in this branch below
   592      there was an appl.stac (Repeat, Or e1, ...) found by the previous step.
   593 *)
   594 (*WN161112 blanks between list elements left as is until istate is introduced here*)
   595 fun assy ya ((E,l,a,v,S,b),ss) (Const ("HOL.Let",_) $ e $ (Abs (id,T,body))) =
   596     (case assy ya ((E , l @ [L, R], a,v,S,b),ss) e of
   597        NasApp ((E',l,a,v,S,_),ss) => 
   598          let
   599            val id' = mk_Free (id, T);
   600            val E' = upd_env E' (id', v);
   601          in assy ya ((E', l @ [R, D], a,v,S,b),ss) body end
   602      | NasNap (v,E) =>
   603          let
   604            val id' = mk_Free (id, T);
   605            val E' = upd_env E (id', v);
   606          in assy ya ((E', l @ [R, D], a,v,S,b),ss) body end
   607      | ay => ay)
   608   | assy (ya as (thy,_,srls,_,_)) ((E,l,_,v,S,b),ss) (Const ("Script.While",_) $ c $ e $ a) =
   609     if eval_true_ thy srls (subst_atomic (upd_env E (a,v)) c) 
   610     then assy ya ((E, l @ [L, R], SOME a,v,S,b),ss)  e
   611     else NasNap (v, E)
   612   | assy (ya as (thy,_,srls,_,_)) ((E,l,a,v,S,b),ss) (Const ("Script.While",_) $ c $ e) =
   613     if eval_true_ thy srls (subst_atomic (upd_env_opt E (a,v)) c) 
   614     then assy ya ((E, l @ [R], a,v,S,b),ss) e
   615     else NasNap (v, E)
   616   | assy (ya as (thy,_,srls,_,_)) ((E,l,a,v,S,b),ss) (Const ("If",_) $ c $ e1 $ e2) =
   617     if eval_true_ thy srls (subst_atomic (upd_env_opt E (a,v)) c) 
   618     then assy ya ((E, l @ [L, R], a,v,S,b),ss) e1
   619     else assy ya ((E, l @ [R], a,v,S,b),ss) e2 
   620   | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Try",_) $ e $ a) =
   621     (case assy ya ((E, l @ [L, R], SOME a,v,S,b),ss) e of ay => ay) 
   622   | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Try",_) $ e) =
   623     (case assy ya ((E, l @ [R], a,v,S,b),ss) e of ay => ay)
   624   | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Seq",_) $e1 $ e2 $ a) =
   625     (case assy ya ((E, l @ [L, L, R], SOME a,v,S,b),ss) e1 of
   626 	     NasNap (v, E) => assy ya ((E, l @ [L, R], SOME a,v,S,b),ss) e2
   627      | NasApp ((E,_,_,v,_,_),ss) => assy ya ((E, l @ [L, R], SOME a,v,S,b),ss) e2
   628      | ay => ay)
   629   | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Seq",_) $e1 $ e2) =
   630     (case assy ya ((E, l @ [L, R], a,v,S,b),ss) e1 of
   631 	     NasNap (v, E) => assy ya ((E, l @ [R], a,v,S,b),ss) e2
   632      | NasApp ((E,_,_,v,_,_),ss) => assy ya ((E, l @ [R], a,v,S,b),ss) e2
   633      | ay => ay)
   634   | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Repeat",_) $ e $ a) =
   635     assy ya ((E,(l @ [L, R]),SOME a,v,S,b),ss) e
   636   | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Repeat",_) $ e) =
   637     assy ya ((E,(l @ [R]),a,v,S,b),ss) e
   638   | assy (y,x,s,sc,Aundef) ((E,l,_,v,S,b),ss) (Const ("Script.Or",_) $e1 $ e2 $ a) =
   639     (case assy (y,x,s,sc,AssOnly) ((E,(l @ [L, L, R]),SOME a,v,S,b),ss) e1 of
   640 	     NasNap (v, E) => 
   641 	       (case assy (y,x,s,sc,AssOnly) ((E,(l @ [L, R]),SOME a,v,S,b),ss) e2 of
   642 	          NasNap (v, E) => 
   643 	            (case assy (y,x,s,sc,AssGen) ((E,(l @ [L, L, R]),SOME a,v,S,b),ss) e1 of
   644 	               NasNap (v, E) => 
   645 	                 assy (y,x,s,sc,AssGen) ((E, (l @ [L, R]), SOME a,v,S,b),ss) e2
   646 	             | ay => ay)
   647 	        | ay =>ay)
   648      | NasApp _ => error ("assy: FIXXXME ///must not return NasApp///")
   649      | ay => (ay))
   650   | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Or",_) $e1 $ e2) =
   651     (case assy ya ((E,(l @ [L, R]),a,v,S,b),ss) e1 of
   652 	     NasNap (v, E) => assy ya ((E,(l @ [R]),a,v,S,b),ss) e2
   653      | ay => (ay))
   654     (*here is not a tactical like TRY etc, but a tactic creating a step in calculation*)
   655   | assy (thy',ctxt,sr,d,ap) ((E,l,a,v,S,_), (m,_,pt,(p,p_),c)::ss) t =
   656     (case handle_leaf "locate" thy' sr E a v t of
   657 	     (a', Expr _) => 
   658 	        (NasNap (eval_listexpr_ (assoc_thy thy') sr
   659 		     (subst_atomic (upd_env_opt E (a',v)) t), E))
   660      | (a', STac stac) =>
   661 	       let
   662            val p' = 
   663              case p_ of Frm => p 
   664              | Res => lev_on p
   665 		         | _ => error ("assy: call by " ^ pos'2str (p,p_));
   666 	       in
   667            case assod pt d m stac of
   668 	         Ass (m,v') =>
   669 	           let val (p'',c',f',pt') =
   670                  Generate.generate1 (assoc_thy thy') m (ScrState (E,l,a',v',S,true), ctxt) (p',p_) pt;
   671 	           in Assoc ((E,l,a',v',S,true), (m,f',pt',p'',c @ c')::ss) end
   672            | AssWeak (m,v') => 
   673 	           let val (p'',c',f',pt') =
   674                Generate.generate1 (assoc_thy thy') m (ScrState (E,l,a',v',S,false), ctxt) (p',p_) pt;
   675 	           in Assoc ((E,l,a',v',S,false), (m,f',pt',p'',c @ c')::ss) end
   676            | NotAss =>
   677              (case ap of   (*switch for Or: 1st AssOnly, 2nd AssGen*)
   678                 AssOnly => (NasNap (v, E))
   679               | _ =>
   680                   (case Applicable.applicable_in (p,p_) pt (stac2tac pt (assoc_thy thy') stac) of
   681 		                 Chead.Appl m' =>
   682 		                   let
   683                          val is = (E,l,a',tac_2res m',S,false(*FIXXXME.WN0?*))
   684 		                     val (p'',c',f',pt') =
   685 		                       Generate.generate1 (assoc_thy thy') m' (ScrState is, ctxt) (p', p_) pt;
   686 		                   in NasApp (is,(m,f',pt',p'',c @ c')::ss) end
   687 		               | Chead.Notappl _ => (NasNap (v, E))
   688 		              )
   689 		         )
   690          end)
   691   | assy _ (_, []) t = error ("assy: uncovered fun-def with " ^ term2str t);
   692 
   693 (*WN161112 blanks between list elements left as is until istate is introduced here*)
   694 fun ass_up (ys as (y,ctxt,s,Prog sc,d)) ((E,l,a,v,S,b),ss) (Const ("HOL.Let",_) $ _) =
   695     let 
   696 	    val l = drop_last l; (*comes from e, goes to Abs*)
   697       val (i, T, body) =
   698         (case go l sc of
   699            Const ("HOL.Let",_) $ _ $ (Abs (i, T, body)) => (i, T, body)
   700          | t => error ("ass_up..HOL.Let $ _ with " ^ term2str t))
   701       val i = mk_Free (i, T);
   702       val E = upd_env E (i, v);
   703     in case assy (y,ctxt,s,d,Aundef) ((E, l @ [R, D], a,v,S,b),ss) body of
   704 	       Assoc iss => Assoc iss
   705 	     | NasApp iss => astep_up ys iss 
   706 	     | NasNap (v, E) => astep_up ys ((E,l,a,v,S,b),ss) 
   707 	  end
   708   | ass_up ys iss (Abs (_,_,_)) = astep_up ys iss (*TODO 5.9.00: env ?*)
   709   | ass_up ys iss (Const ("HOL.Let",_) $ _ $ (Abs _)) = astep_up ys iss (*TODO 5.9.00: env ?*)
   710   | ass_up ysa iss (Const ("Script.Seq",_) $ _ $ _ $ _) =
   711     astep_up ysa iss (*all has been done in (*2*) below*)
   712   | ass_up ysa iss (Const ("Script.Seq",_) $ _ $ _) =
   713     astep_up ysa iss (*2*: comes from e2*)
   714 
   715   | ass_up (ysa as (y,ctxt,s,Prog sc,d)) ((E,l,a,v,S,b),ss)
   716 	  (Const ("Script.Seq",_) $ _ ) = (*2*: comes from e1, goes to e2*)
   717      let 
   718        val up = drop_last l;
   719      val e2 =
   720        (case go up sc of
   721           Const ("Script.Seq",_) $ _ $ e2 => e2
   722         | t => error ("ass_up..Script.Seq $ _ with " ^ term2str t))
   723      in case assy (y,ctxt,s,d,Aundef) ((E, up @ [R], a,v,S,b),ss) e2 of
   724          NasNap (v,E) => astep_up ysa ((E,up,a,v,S,b),ss)
   725        | NasApp iss => astep_up ysa iss
   726        | ay => ay 
   727      end
   728   | ass_up ysa iss (Const ("Script.Try",_) $ _ $ _) = astep_up ysa iss
   729   | ass_up ysa iss (Const ("Script.Try",_) $ _) = astep_up ysa iss
   730   | ass_up (ys as (y,ctxt,s,_,d)) ((E,l,_,v,S,b),ss)
   731 	   (*(Const ("Script.While",_) $ c $ e $ a) = WN050930 blind fix*)
   732 	    (t as Const ("Script.While",_) $ c $ e $ a) =
   733     if eval_true_ y s (subst_atomic (upd_env E (a,v)) c)
   734     then case assy (y,ctxt,s,d,Aundef) ((E, l @ [L, R], SOME a,v,S,b),ss) e of 
   735       NasNap (v,E') => astep_up ys ((E',l, SOME a,v,S,b),ss)
   736     | NasApp ((E',l,a,v,S,b),ss) =>
   737       ass_up ys ((E',l,a,v,S,b),ss) t (*WN050930 't' was not assigned*)
   738     | ay => ay
   739     else astep_up ys ((E,l, SOME a,v,S,b),ss)
   740   | ass_up (ys as (y,ctxt,s,_,d)) ((E,l,a,v,S,b),ss)
   741 	   (*(Const ("Script.While",_) $ c $ e) = WN050930 blind fix*)
   742 	     (t as Const ("Script.While",_) $ c $ e) =
   743     if eval_true_ y s (subst_atomic (upd_env_opt E (a,v)) c)
   744     then case assy (y,ctxt,s,d,Aundef) ((E, l @ [R], a,v,S,b),ss) e of 
   745        NasNap (v,E') => astep_up ys ((E',l, a,v,S,b),ss)
   746      | NasApp ((E',l,a,v,S,b),ss) =>
   747        ass_up ys ((E',l,a,v,S,b),ss) t (*WN050930 't' was not assigned*)
   748      | ay => ay
   749     else astep_up ys ((E,l, a,v,S,b),ss)
   750   | ass_up y iss (Const ("If",_) $ _ $ _ $ _) = astep_up y iss
   751   | ass_up (ys as (y,ctxt,s,_,d)) ((E,l,_,v,S,b),ss)
   752 	    (t as Const ("Script.Repeat",_) $ e $ a) =
   753     (case assy (y,ctxt,s,d, Aundef) ((E, (l @ [L, R]), SOME a,v,S,b),ss) e of 
   754       NasNap (v,E') => astep_up ys ((E',l, SOME a,v,S,b),ss)
   755     | NasApp ((E',l,a,v,S,b),ss) =>
   756       ass_up ys ((E',l,a,v,S,b),ss) t
   757     | ay => ay)
   758   | ass_up (ys as (y,ctxt,s,_,d)) ((E,l,a,v,S,b),ss)
   759 	    (t as Const ("Script.Repeat",_) $ e) =
   760     (case assy (y,ctxt,s,d,Aundef) ((E, (l @ [R]), a,v,S,b),ss) e of 
   761        NasNap (v', E') => astep_up ys ((E',l,a,v',S,b),ss)
   762      | NasApp ((E',l,a,v',S,_),ss) => ass_up ys ((E',l,a,v',S,b),ss) t
   763      | ay => ay)
   764   | ass_up y iss (Const ("Script.Or",_) $ _ $ _ $ _) = astep_up y iss
   765   | ass_up y iss (Const ("Script.Or",_) $ _ $ _) = astep_up y iss
   766   | ass_up y ((E,l,a,v,S,b),ss) (Const ("Script.Or",_) $ _ ) = 
   767     astep_up y ((E, (drop_last l), a,v,S,b),ss)
   768   | ass_up _ _ t =
   769     error ("ass_up not impl for t= " ^ term2str t)
   770 and astep_up (ys as (_,_,_,Prog sc,_)) ((E,l,a,v,S,b),ss) =
   771   if 1 < length l
   772   then 
   773     let val up = drop_last l;
   774     in ass_up ys ((E,up,a,v,S,b),ss) (go up sc) end
   775   else (NasNap (v, E))
   776   | astep_up _ ((_,l,_,_,_,_),_) = error ("astep_up: uncovered fun-def with " ^ loc_2str l)
   777 
   778 (*check if there are tacs for rewriting only*)
   779 fun rew_only ([]:step list) = true
   780   | rew_only (((Rewrite' _          ,_,_,_,_))::ss) = rew_only ss
   781   | rew_only (((Rewrite_Inst' _     ,_,_,_,_))::ss) = rew_only ss
   782   | rew_only (((Rewrite_Set' _      ,_,_,_,_))::ss) = rew_only ss
   783   | rew_only (((Rewrite_Set_Inst' _ ,_,_,_,_))::ss) = rew_only ss
   784   | rew_only (((Calculate' _        ,_,_,_,_))::ss) = rew_only ss
   785   | rew_only (((Begin_Trans' _      ,_,_,_,_))::ss) = rew_only ss
   786   | rew_only (((End_Trans' _        ,_,_,_,_))::ss) = rew_only ss
   787   | rew_only _ = false; 
   788 
   789 datatype locate =
   790   Steps of istate (* producing hd of step list (which was latest)
   791 	                   for next_tac, for reporting Safe|Unsafe to DG  *)
   792 	   * step       (* (scrstate producing this step is in ctree !)   *) 
   793 		 list         (* locate_gen may produce intermediate steps      *)
   794 | NotLocatable;   (* no (m Ass m') or (m AssWeak m') found          *)
   795 
   796 (* locate_gen tries to locate an input tac m in the script. 
   797    pursuing this goal the script is executed until an (m' equiv m) is found,
   798    or the end of the script
   799 args
   800    m   : input by the user, already checked by applicable_in,
   801          (to be searched within Or; and _not_ an m doing the step on ctree !)
   802    p,pt: (incl ets) at the time of input
   803    scr : the script
   804    d   : canonical simplifier for locating Take, Substitute, Subproblems etc.
   805    ets : ets at the time of input
   806    l   : the location (in scr) of the stac which generated the current formula
   807 returns
   808    Steps: pt,p (incl. ets) with m done
   809           pos' list of proofobjs cut (from generate)
   810           safe: implied from last proofobj
   811 	  ets:
   812    ///ToDo : ets contains a list of tacs to be done before m can be done
   813           NOT IMPL. -- "error: do other step before"
   814    NotLocatable: thus generate_hard
   815 *)
   816 (*WN161112 blanks between list elements left as is until istate is introduced here*)
   817 fun locate_gen (thy', _) (Rewrite' (_, ro, er, pa, thm, f, _)) (pt, p) 
   818 	    (Rfuns {locate_rule=lo,...}, _) (RrlsState (_,f'',rss,rts), _) = 
   819     (case lo rss f (Thm thm) of
   820 	    [] => NotLocatable
   821     | rts' => Steps (rts2steps [] ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa)) rts'))
   822   | locate_gen (thy',srls) (m:tac_) ((pt,p):ctree * pos') 
   823 	    (scr as Prog (_ $ body),d) (ScrState (E,l,a,v,S,b), ctxt)  = 
   824     let val thy = assoc_thy thy';
   825     in case if l = [] orelse (
   826 		       (*init.in solve..Apply_Method...*)(last_elem o fst) p = 0 andalso snd p = Res)
   827 	       then (assy (thy',ctxt,srls,d,Aundef) ((E,[R],a,v,S,b), [(m,Generate.EmptyMout,pt,p,[])]) body)
   828 	       else (astep_up (thy',ctxt,srls,scr,d) ((E,l,a,v,S,b), [(m,Generate.EmptyMout,pt,p,[])]) ) of
   829 	    Assoc ((is as (_,_,_,_,_,strong_ass), ss as (_ :: _))) =>
   830 	      (if strong_ass
   831          then (Steps (ScrState is, ss))
   832 	       else
   833            if rew_only ss (*andalso 'not strong_ass'= associated weakly*)
   834 	         then
   835              let
   836                val (po,p_) = p
   837                val po' = case p_ of Frm => po | Res => lev_on po | _ => error ("locate_gen " ^ pos_2str p_)
   838                val (p'',c'',f'',pt'') = Generate.generate1 thy m (ScrState is, ctxt) (po',p_) pt
   839 	           in Steps (ScrState is, [(m, f'',pt'',p'',c'')]) end
   840 	         else Steps (ScrState is, ss))
   841 	  
   842     | NasApp _ => NotLocatable
   843     | err => error ("not-found-in-script: NotLocatable from " ^ PolyML.makestring err)
   844     end
   845   | locate_gen _ m _ (sc,_) (is, _) = 
   846     error ("locate_gen: wrong arguments,\n tac= " ^ tac_2str m ^ ",\n " ^
   847       "scr= " ^ scr2str sc ^ ",\n istate= " ^ istate2str is);
   848 
   849 (** find the next stactic in a script **)
   850 
   851 (*appy, nxt_up, nstep_up scanning for next_tac.
   852   search is clearly separated into (1)-(2):
   853   (1) appy is recursive descent;
   854   (2) nxt_up resumes interpretation at a location somewhere in the script;
   855       nstep_up does only get to the parentnode of the scriptexpr.
   856   consequence:
   857   * call of (2) means _always_ that in this branch below
   858     there was an applicable stac (Repeat, Or e1, ...)
   859 *)
   860 datatype appy =  (* ExprVal in the sense of denotational semantics  *)
   861     Appy of      (* applicable stac found, search stalled           *)
   862     tac_ *       (* tac_ associated (fun assod) with stac           *)
   863     scrstate     (* after determination of stac WN.18.8.03          *)
   864   | Napp of      (* stac found was not applicable; 
   865 	                  this mode may become Skip in Repeat, Try and Or *)
   866     env (*stack*)(* popped while nxt_up                             *)
   867   | Skip of      (* for restart after Appy, for leaving iterations,
   868 	                  for passing the value of scriptexpressions,
   869 		                and for finishing the script successfully       *)
   870     term * env (*stack*);
   871 
   872 datatype appy_ = (* as argument in nxt_up, nstep_up, from appy               *)
   873 (*Appy              is only (final) returnvalue, not argument during search  *)
   874   Napp_          (* ev. detects 'script is not appropriate for this example' *)
   875 | Skip_;         (* detects 'script successfully finished'
   876 		                also used as init-value for resuming; this works,
   877 	                  because 'nxt_up Or e1' treats as Appy                    *)
   878 
   879 fun appy thy ptp E l (Const ("HOL.Let",_) $ e $ (Abs (i,T,b))) a v =
   880     (case appy thy ptp E (l @ [L, R]) e a v of
   881       Skip (res, E) => 
   882         let val E' = upd_env E (Free (i,T), res);
   883         in appy thy ptp E' (l @ [R, D]) b a v end
   884     | ay => ay)
   885   | appy (thy as (th,sr)) ptp E l (Const ("Script.While"(*1*),_) $ c $ e $ a) _ v =
   886     (if eval_true_ th sr (subst_atomic (upd_env E (a,v)) c)
   887      then appy thy ptp E (l @ [L, R]) e (SOME a) v
   888      else Skip (v, E))
   889   | appy (thy as (th,sr)) ptp E l (Const ("Script.While"(*2*),_) $ c $ e) a v =
   890     (if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)
   891      then appy thy ptp E (l @ [R]) e a v
   892      else Skip (v, E))
   893   | appy (thy as (th,sr)) ptp E l (Const ("If",_) $ c $ e1 $ e2) a v =
   894     (if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)
   895      then appy thy ptp E (l @ [L, R]) e1 a v
   896      else appy thy ptp E (l @ [R]) e2 a v)
   897   | appy thy ptp E l (Const ("Script.Repeat"(*1*),_) $ e $ a) _ v = 
   898     appy thy ptp E (l @ [L, R]) e (SOME a) v
   899   | appy thy ptp E l (Const ("Script.Repeat"(*2*),_) $ e) a v = appy thy ptp E (l @ [R]) e a v
   900   | appy thy ptp E l (Const ("Script.Try",_) $ e $ a) _ v =
   901     (case appy thy ptp E (l @ [L, R]) e (SOME a) v of
   902       Napp E => (Skip (v, E))
   903     | ay => ay)
   904   | appy thy ptp E l(Const ("Script.Try",_) $ e) a v =
   905     (case appy thy ptp E (l @ [R]) e a v of
   906       Napp E => (Skip (v, E))
   907     | ay => ay)
   908   | appy thy ptp E l (Const ("Script.Or"(*1*),_) $e1 $ e2 $ a) _ v =
   909     (case appy thy ptp E (l @ [L, L, R]) e1 (SOME a) v of
   910 	    Appy lme => Appy lme
   911     | _ => appy thy ptp E (*env*) (l @ [L, R]) e2 (SOME a) v)
   912   | appy thy ptp E l (Const ("Script.Or"(*2*),_) $e1 $ e2) a v =
   913     (case appy thy ptp E (l @ [L, R]) e1 a v of
   914 	    Appy lme => Appy lme
   915     | _ => appy thy ptp E (l @ [R]) e2 a v)
   916   | appy thy ptp E l (Const ("Script.Seq"(*1*),_) $ e1 $ e2 $ a) _ v =
   917     (case appy thy ptp E (l @ [L, L, R]) e1 (SOME a) v of
   918 	    Skip (v,E) => appy thy ptp E (l @ [L, R]) e2 (SOME a) v
   919     | ay => ay)
   920   | appy thy ptp E l (Const ("Script.Seq",_) $ e1 $ e2) a v =
   921     (case appy thy ptp E (l @ [L,R]) e1 a v of
   922 	    Skip (v,E) => appy thy ptp E (l @ [R]) e2 a v
   923     | ay => ay)
   924   (* a leaf has been found *)   
   925   | appy ((th,sr)) (pt, p) E l t a v =
   926     case handle_leaf "next  " th sr E a v t of
   927 	    (_, Expr s) => Skip (s, E)
   928     | (a', STac stac) =>
   929 	    let val (m,m') = stac2tac_ pt (assoc_thy th) stac
   930       in case m of 
   931 	      Subproblem _ => Appy (m', (E,l,a',tac_2res m',Sundef,false))
   932 	    | _ =>
   933         (case Applicable.applicable_in p pt m of
   934 		       Chead.Appl m' => (Appy (m', (E,l,a',tac_2res m',Sundef,false)))
   935 		     | _ => Napp E)
   936 	    end
   937 (*GOON*)
   938 fun nxt_up thy ptp (scr as (Prog sc)) E l ay (Const ("HOL.Let", _) $ _) a v = (*comes from let=...*)
   939     if ay = Napp_
   940     then nstep_up thy ptp scr E (drop_last l) Napp_ a v
   941     else (*Skip_*)
   942 	    let
   943         val up = drop_last l
   944         val (i, T, body) =
   945           (case go up sc of
   946              Const ("HOL.Let",_) $ _ $ (Abs aa) => aa
   947            | t => error ("nxt_up..HOL.Let $ _ with " ^ term2str t))
   948         val i = mk_Free (i, T)
   949         val E = upd_env E (i, v)
   950       in
   951         case appy thy ptp E (up @ [R,D]) body a v  of
   952 	        Appy lre => Appy lre
   953 	      | Napp E => nstep_up thy ptp scr E up Napp_ a v
   954 	      | Skip (v,E) => nstep_up thy ptp scr E up Skip_ a v
   955 	    end
   956   | nxt_up thy ptp scr E l ay (Abs _) a v =  nstep_up thy ptp scr E l ay a v
   957   | nxt_up thy ptp scr E l ay (Const ("HOL.Let",_) $ _ $ (Abs _)) a v =
   958     nstep_up thy ptp scr E l ay a v
   959   (*no appy_: never causes Napp -> Helpless*)
   960   | nxt_up (thy as (th, sr)) ptp scr E l _ (Const ("Script.While"(*1*), _) $ c $ e $ _) a v = 
   961     if eval_true_ th sr (subst_atomic (upd_env_opt E (a, v)) c) 
   962     then case appy thy ptp E (l @ [L,R]) e a v of
   963 	     Appy lr => Appy lr
   964 	  | Napp E => nstep_up thy ptp scr E l Skip_ a v
   965 	  | Skip (v,E) => nstep_up thy ptp scr E l Skip_ a v
   966     else nstep_up thy ptp scr E l Skip_ a v
   967   (*no appy_: never causes Napp - Helpless*)
   968   | nxt_up (thy as (th, sr)) ptp scr E l _ (Const ("Script.While"(*2*), _) $ c $ e) a v = 
   969     if eval_true_ th sr (subst_atomic (upd_env_opt E (a, v)) c) 
   970     then case appy thy ptp E (l @ [R]) e a v of
   971 	    Appy lr => Appy lr
   972 	  | Napp E => nstep_up thy ptp scr E l Skip_ a v
   973 	  | Skip (v,E) => nstep_up thy ptp scr E l Skip_ a v
   974     else nstep_up thy ptp scr E l Skip_ a v
   975   | nxt_up thy ptp scr E l ay (Const ("If", _) $ _ $ _ $ _) a v = nstep_up thy ptp scr E l ay a v
   976   | nxt_up thy ptp scr E l _ (*no appy_: there was already a stac below*)
   977       (Const ("Script.Repeat"(*1*), _) $ e $ _) a v =
   978     (case appy thy ptp (*upd_env*) E (*a,v)*) ((l @ [L, R]):loc_) e a v  of
   979       Appy lr => Appy lr
   980     | Napp E =>  nstep_up thy ptp scr E l Skip_ a v
   981     | Skip (v,E) =>  nstep_up thy ptp scr E l Skip_ a v)
   982   | nxt_up thy ptp scr E l _ (*no appy_: there was already a stac below*)
   983       (Const ("Script.Repeat"(*2*), _) $ e) a v =
   984     (case appy thy ptp (*upd_env*) E (*a,v)*) (l @ [R]) e a v  of
   985       Appy lr => Appy lr
   986     | Napp E => nstep_up thy ptp scr E l Skip_ a v
   987     | Skip (v,E) => nstep_up thy ptp scr E l Skip_ a v)
   988   | nxt_up thy ptp scr E l _ (Const ("Script.Try",_) $ _ $ _) a v = (*makes Napp to Skip*)
   989     nstep_up thy ptp scr E l Skip_ a v
   990 
   991   | nxt_up thy ptp scr E l _ (Const ("Script.Try"(*2*), _) $ _) a v = (*makes Napp to Skip*)
   992     nstep_up thy ptp scr E l Skip_ a v
   993   | nxt_up thy ptp scr E l ay (Const ("Script.Or",_) $ _ $ _ $ _) a v =
   994     nstep_up thy ptp scr E l ay a v
   995   | nxt_up thy ptp scr E l ay (Const ("Script.Or",_) $ _ $ _) a v = nstep_up thy ptp scr E l ay a v
   996   | nxt_up thy ptp scr E l ay (Const ("Script.Or",_) $ _ ) a v = 
   997     nstep_up thy ptp scr E (drop_last l) ay a v
   998   | nxt_up thy ptp scr E l ay (Const ("Script.Seq"(*1*),_) $ _ $ _ $ _) a v =
   999     (*all has been done in (*2*) below*) nstep_up thy ptp scr E l ay a v
  1000   | nxt_up thy ptp scr E l ay (Const ("Script.Seq"(*2*),_) $ _ $ _) a v = (*comes from e2*)
  1001     nstep_up thy ptp scr E l ay a v
  1002   | nxt_up thy ptp (scr as Prog sc) E l ay (Const ("Script.Seq",_) $ _) a v = (*comes from e1*)
  1003     if ay = Napp_
  1004     then nstep_up thy ptp scr E (drop_last l) Napp_ a v
  1005     else (*Skip_*)
  1006       let val up = drop_last l;
  1007           val e2 =
  1008             (case go up sc of
  1009                Const ("Script.Seq"(*2*), _) $ _ $ e2 => e2
  1010              | t => error ("nxt_up..Script.Seq $ _ with " ^ term2str t))
  1011       in case appy thy ptp E (up @ [R]) e2 a v  of
  1012         Appy lr => Appy lr
  1013       | Napp E => nstep_up thy ptp scr E up Napp_ a v
  1014       | Skip (v,E) => nstep_up thy ptp scr E up Skip_ a v end
  1015   | nxt_up _ _ _ _ _ _ t _ _ = error ("nxt_up not impl for " ^ term2str t)
  1016 and nstep_up thy ptp (Prog sc) E l ay a v = 
  1017     if 1 < length l
  1018     then 
  1019       let val up = drop_last l; 
  1020       in (nxt_up thy ptp (Prog sc) E up ay (go up sc) a v ) end
  1021     else (*interpreted to end*)
  1022       if ay = Skip_ then Skip (v, E) else Napp E 
  1023   | nstep_up _ _ _ _ l _ _ _ = error ("nstep_up: uncovered fun-def at " ^ loc_2str l)
  1024 
  1025 (* decide for the next applicable stac in the script;
  1026    returns (stactic, value) - the value in case the script is finished 
  1027    12.8.02:         ~~~~~ and no assumptions ??? FIXME ???
  1028    20.8.02: must return p in case of finished, because the next script
  1029             consulted need not be the calling script:
  1030             in case of detail ie. _inserted_ PrfObjs, the next stac
  1031             has to searched in a script with PblObj.status<>Complete !
  1032             (.. not true for other details ..PrfObj ??????????????????
  1033    20.8.02: do NOT return safe (is only changed in locate !!!)
  1034 *)
  1035 fun next_tac (thy,_) _ (Rfuns {next_rule, ...}) (RrlsState(f, f', rss, _), ctxt) =
  1036     if f = f'
  1037     then (End_Detail' (f',[])(*8.6.03*), (Uistate, ctxt), 
  1038     	(f', Sundef(*FIXME is no value of next_tac! vor 8.6.03*)))  (*finished*)
  1039     else
  1040       (case next_rule rss f of
  1041     	  NONE => (Empty_Tac_, (Uistate, ctxt), (e_term, Sundef))   (*helpless*)
  1042     	| SOME (Thm thm'')(*8.6.03: muss auch f' liefern ?!!*) => 
  1043     	    (Rewrite' (thy, "e_rew_ord", e_rls, false, thm'', f, (e_term, [(*!?!8.6.03*)])),
  1044   	         (Uistate, ctxt), (e_term, Sundef)))                  (*next stac*)
  1045   | next_tac thy (ptp as (pt, (p, _)):ctree * pos') (sc as Prog (_ $ body)) 
  1046 	    (ScrState (E,l,a,v,s,_), ctxt) =
  1047     (case if l = [] then appy thy ptp E [R] body NONE v
  1048           else nstep_up thy ptp sc E l Skip_ a v of
  1049        Skip (v, _) =>                                              (*finished*)
  1050          (case par_pbl_det pt p of
  1051 	          (true, p', _) => 
  1052 	             let
  1053 	               val (_,pblID,_) = get_obj g_spec pt p';
  1054 	              in (Check_Postcond' (pblID, (v, [(*assigned in next step*)])), 
  1055 	                   (e_istate, ctxt), (v,s)) 
  1056                 end
  1057 	        | _ => (End_Detail' (e_term,[])(*8.6.03*), (e_istate, ctxt), (v,s)))
  1058      | Napp _ => (Empty_Tac_, (e_istate, ctxt), (e_term, Sundef))   (*helpless*)
  1059      | Appy (m', scrst as (_,_,_,v,_,_)) => (m', (ScrState scrst, ctxt), (v, Sundef))) (*next stac*)
  1060   | next_tac _ _ _ (is, _) = error ("next_tac: not impl for " ^ (istate2str is));
  1061 
  1062 (*.create the initial interpreter state from the items of the guard.*)
  1063 local
  1064 val errmsg = "ERROR: found no actual arguments for prog. of "
  1065 fun msg_miss (sc, metID, formals, actuals) =
  1066   "ERROR in creating the environment for '" ^ id_of_scr sc ^ 
  1067 	"' from \nthe items of the guard of " ^ metID2str metID ^ ",\n" ^
  1068 	"formal arg(s), from the script, miss actual arg(s), from the guards env:\n" ^
  1069 	(string_of_int o length) formals ^ " formals: " ^ terms2str formals ^ "\n" ^
  1070 	(string_of_int o length) actuals ^ " actuals: " ^ terms2str actuals
  1071 fun msg_type (sc, metID, a, f, formals, actuals) =
  1072   "ERROR in creating the environment for '" ^
  1073 	id_of_scr sc ^ "' from \nthe items of the guard of " ^
  1074 	metID2str metID ^ ",\n" ^
  1075 	"different types of formal arg, from the script, " ^
  1076 	"and actual arg, from the guards env:'\n" ^
  1077 	"formal: '" ^ term2str a ^ "::" ^ (type2str o type_of) a ^ "'\n" ^
  1078 	"actual: '" ^ term2str f ^ "::" ^ (type2str o type_of) f ^ "'\n" ^
  1079 	"in\n" ^
  1080 	"formals: " ^ terms2str formals ^ "\n" ^
  1081 	"actuals: " ^ terms2str actuals
  1082 in
  1083 fun init_scrstate thy itms metID =
  1084   let
  1085     val actuals = itms2args thy metID itms
  1086     val _ = if actuals <> [] then () else raise ERROR (errmsg ^ strs2str' metID)
  1087     val (scr, sc) = (case (#scr o Specify.get_met) metID of
  1088        scr as Prog sc => (scr, sc) | _ => raise ERROR ("init_scrstate with " ^ metID2str metID))
  1089     val formals = formal_args sc    
  1090 	  (*expects same sequence of (actual) args in itms and (formal) args in met*)
  1091 	  fun relate_args env [] [] = env
  1092 	    | relate_args _ _ [] = error (msg_miss (sc, metID, formals, actuals))
  1093 	    | relate_args env [] _ = env (*may drop Find!*)
  1094 	    | relate_args env (a::aa) (f::ff) = 
  1095 	      if type_of a = type_of f 
  1096 	      then relate_args (env @ [(a, f)]) aa ff
  1097         else error (msg_type (sc, metID, a, f, formals, actuals))
  1098     val env = relate_args [] formals actuals;
  1099     val ctxt = Proof_Context.init_global thy |> declare_constraints' actuals
  1100     val {pre, prls, ...} = Specify.get_met metID;
  1101     val pres = check_preconds thy prls pre itms |> map snd;
  1102     val ctxt = ctxt |> insert_assumptions pres;
  1103   in (ScrState (env, [], NONE, e_term, Safe, true), ctxt, scr) : istate * Proof.context * scr end;
  1104 end (*local*)
  1105 
  1106 (* decide, where to get script/istate from:
  1107    (* 1 *) from PblObj.env: at begin of script if no init_form
  1108    (* 2 *) from PblObj/PrfObj: if stac is in the middle of the script
  1109    (* 3 *) from rls/PrfObj: in case of detail a ruleset *)
  1110 fun from_pblobj_or_detail' _ (p, p_) pt =
  1111   if member op = [Pbl, Met] p_
  1112   then case get_obj g_env pt p of
  1113     NONE => error "from_pblobj_or_detail': no istate"
  1114   | SOME is =>
  1115       let
  1116         val metID = get_obj g_metID pt p
  1117         val {srls, ...} = Specify.get_met metID
  1118       in (srls, is, (#scr o Specify.get_met) metID) end
  1119   else
  1120     let val (pbl, p', rls') = par_pbl_det pt p
  1121     in if pbl 
  1122        then (*if last_elem p = 0 nothing written to pt yet*)                                (* 2 *)
  1123          let
  1124 	         val metID = get_obj g_metID pt p'
  1125 	         val {srls,...} = Specify.get_met metID
  1126 	       in (srls, get_loc pt (p,p_), (#scr o Specify.get_met) metID) end
  1127        else (*FIXME.WN0?: get from pbl or met !!! unused for Rrls in locate_gen, next_tac*) (* 3 *)
  1128 	       (e_rls, get_loc pt (p,p_),
  1129 	          case rls' of
  1130 		          Rls {scr = scr,...} => scr
  1131 	          | Seq {scr = scr,...} => scr
  1132 	          | Rrls {scr=rfuns,...} => rfuns
  1133 	          | Erls => error "from_pblobj_or_detail' with Erls")
  1134     end
  1135 
  1136 (*.get script and istate from PblObj, see                                                  ( * 1 *)
  1137 fun from_pblobj' thy' (p,p_) pt =
  1138   let
  1139     val p' = par_pblobj pt p
  1140 	  val thy = assoc_thy thy'
  1141 	  val itms =
  1142 	    (case get_obj I pt p' of
  1143 	      PblObj {meth = itms, ...} => itms
  1144 	    | PrfObj _ => error "from_pblobj' NOT with PrfObj")
  1145 	  val metID = get_obj g_metID pt p'
  1146 	  val {srls, scr, ...} = Specify.get_met metID
  1147   in
  1148     if last_elem p = 0 (*nothing written to pt yet*)
  1149     then
  1150        let val (is, ctxt, scr) = init_scrstate thy itms metID
  1151 	     in (srls, (is, ctxt), scr) end
  1152     else (srls, get_loc pt (p,p_), scr)
  1153   end;
  1154     
  1155 (*.get the stactics and problems of a script as tacs
  1156   instantiated with the current environment;
  1157   l is the location which generated the given formula.*)
  1158 (*WN.12.5.03: quick-and-dirty repair for listexpressions*)
  1159 fun is_spec_pos Pbl = true
  1160   | is_spec_pos Met = true
  1161   | is_spec_pos _ = false;
  1162 
  1163 (*. fetch _all_ tactics from script .*)
  1164 fun sel_rules _ (([],Res):pos') = 
  1165     raise PTREE "no tactics applicable at the end of a calculation"
  1166   | sel_rules pt (p,p_) =
  1167     if is_spec_pos p_ 
  1168     then [get_obj g_tac pt p]
  1169     else
  1170       let
  1171         val pp = par_pblobj pt p;
  1172         val thy' = (get_obj g_domID pt pp):theory';
  1173         val thy = assoc_thy thy';
  1174         val metID = get_obj g_metID pt pp;
  1175         val metID' = if metID =e_metID then (thd3 o snd3) (get_obj g_origin pt pp) else metID
  1176         val (sc, srls) = (case Specify.get_met metID' of
  1177             {scr = Prog sc, srls, ...} => (sc, srls) | _ => error "sel_rules 1")
  1178         val (env, a, v) = (case get_istate pt (p, p_) of
  1179             ScrState (env, _, a, v, _, _) => (env, a, v) | _ => error "sel_rules 2")
  1180       in map ((stac2tac pt thy) o rep_stacexpr o #2 o
  1181   	    (handle_leaf "selrul" thy' srls env a v)) (stacpbls sc)
  1182   	  end;
  1183 
  1184 (*. fetch tactics from script and filter _applicable_ tactics;
  1185     in case of Rewrite_Set* go down to _atomic_ rewrite-tactics .*)
  1186 fun sel_appl_atomic_tacs _ (([], Res) : pos') = 
  1187     raise PTREE "no tactics applicable at the end of a calculation"
  1188   | sel_appl_atomic_tacs pt (p, p_) =
  1189     if is_spec_pos p_ 
  1190     then [get_obj g_tac pt p]
  1191     else
  1192       let
  1193         val pp = par_pblobj pt p
  1194         val thy' = (get_obj g_domID pt pp):theory'
  1195         val thy = assoc_thy thy'
  1196         val metID = get_obj g_metID pt pp
  1197         val metID' =
  1198           if metID = e_metID 
  1199           then (thd3 o snd3) (get_obj g_origin pt pp)
  1200           else metID
  1201         val (sc, srls, erls, ro) = (case Specify.get_met metID' of
  1202             {scr = Prog sc, srls, erls, rew_ord' = ro, ...} => (sc, srls, erls, ro)
  1203           | _ => error "sel_appl_atomic_tacs 1")
  1204         val (env, a, v) = (case get_istate pt (p, p_) of
  1205             ScrState (env, _, a, v, _, _) => (env, a, v) | _ => error "sel_appl_atomic_tacs 2")
  1206         val alltacs = (*we expect at least 1 stac in a script*)
  1207           map ((stac2tac pt thy) o rep_stacexpr o #2 o
  1208            (handle_leaf "selrul" thy' srls env a v)) (stacpbls sc)
  1209         val f =
  1210           (case p_ of Frm => get_obj g_form pt p | Res => (fst o (get_obj g_result pt)) p
  1211           | _ => error "")
  1212           (*WN071231 ? replace atomic_appl_tacs with applicable_in (ineff!) ?*)
  1213       in ((gen_distinct eq_tac) o flat o (map (Rtools.atomic_appl_tacs thy ro erls f))) alltacs end;
  1214 (**)
  1215 end
  1216 (**)