src/Tools/isac/Interpret/calchead.sml
author Walther Neuper <neuper@ist.tugraz.at>
Wed, 25 Aug 2010 16:20:07 +0200
branchisac-update-Isa09-2
changeset 37947 22235e4dbe5f
parent 37938 src/Tools/isac/ME/calchead.sml@f6164be9280d
child 37984 972a73d7c50b
permissions -rw-r--r--
renamed isac's directories and Build_Isac.thy

Scripts --> ProgLang
ME --> Interpret
IsacKnowledge --> Knowledge
     1 (* Specify-phase: specifying and modeling a problem or a subproblem. The
     2    most important types are declared in mstools.sml.
     3    author: Walther Neuper
     4    991122
     5    (c) due to copyright terms
     6 
     7 use"ME/calchead.sml";
     8 use"calchead.sml";
     9 12345678901234567890123456789012345678901234567890123456789012345678901234567890
    10         10        20        30        40        50        60        70        80
    11 *)
    12 
    13 (* TODO interne Funktionen aus sig entfernen *)
    14 signature CALC_HEAD =
    15   sig
    16     datatype additm = Add of SpecifyTools.itm | Err of string
    17     val all_dsc_in : SpecifyTools.itm_ list -> Term.term list
    18     val all_modspec : ptree * pos' -> ptree * pos'
    19     datatype appl = Appl of tac_ | Notappl of string
    20     val appl_add :
    21        theory ->
    22        string ->
    23        SpecifyTools.ori list ->
    24        SpecifyTools.itm list ->
    25        (string * (Term.term * Term.term)) list -> cterm' -> additm
    26     type calcstate
    27     type calcstate'
    28     val chk_vars : term ppc -> string * Term.term list
    29     val chktyp :
    30        theory -> int * term list * term list -> term
    31     val chktyps :
    32        theory -> term list * term list -> term list
    33     val complete_metitms :
    34    SpecifyTools.ori list ->
    35    SpecifyTools.itm list ->
    36    SpecifyTools.itm list -> pat list -> SpecifyTools.itm list
    37     val complete_mod_ : ori list * pat list * pat list * itm list ->
    38 			itm list * itm list
    39     val complete_mod : ptree * pos' -> ptree * (pos * pos_)
    40     val complete_spec : ptree * pos' -> ptree * pos'
    41     val cpy_nam :
    42        pat list -> preori list -> pat -> preori
    43     val e_calcstate : calcstate
    44     val e_calcstate' : calcstate'
    45     val eq1 : ''a -> 'b * (''a * 'c) -> bool
    46     val eq3 :
    47        ''a -> Term.term -> 'b * 'c * 'd * ''a * SpecifyTools.itm_ -> bool
    48     val eq4 : ''a -> 'b * ''a list * 'c * 'd * 'e -> bool
    49     val eq5 :
    50        'a * 'b * 'c * 'd * SpecifyTools.itm_ ->
    51        'e * 'f * 'g * Term.term * 'h -> bool
    52     val eq_dsc : SpecifyTools.itm * SpecifyTools.itm -> bool
    53     val eq_pos' : ''a * pos_ -> ''a * pos_ -> bool
    54     val f_mout : theory -> mout -> Term.term
    55     val filter_outs :
    56        SpecifyTools.ori list ->
    57        SpecifyTools.itm list -> SpecifyTools.ori list
    58     val filter_pbt :
    59        SpecifyTools.ori list ->
    60        ('a * (Term.term * 'b)) list -> SpecifyTools.ori list
    61     val foldl1 : ('a * 'a -> 'a) -> 'a list -> 'a
    62     val foldr1 : ('a * 'a -> 'a) -> 'a list -> 'a
    63     val form : 'a -> ptree -> (string * ('a * pos_) * Term.term) list
    64     val formres : 'a -> ptree -> (string * ('a * pos_) * Term.term) list
    65     val gen_ins' : ('a * 'a -> bool) -> 'a * 'a list -> 'a list
    66     val get_formress :
    67        (string * (pos * pos_) * Term.term) list list ->
    68        pos -> ptree list -> (string * (pos * pos_) * Term.term) list
    69     val get_forms :
    70        (string * (pos * pos_) * Term.term) list list ->
    71        posel list -> ptree list -> (string * (pos * pos_) * Term.term) list
    72     val get_interval : pos' -> pos' -> int -> ptree -> (pos' * term) list
    73     val get_ocalhd : ptree * pos' -> ocalhd
    74     val get_spec_form : tac_ -> pos' -> ptree -> mout
    75     val geti_ct :
    76        theory ->
    77        SpecifyTools.ori -> SpecifyTools.itm -> string * cterm'
    78     val getr_ct : theory -> SpecifyTools.ori -> string * cterm'
    79     val has_list_type : Term.term -> bool
    80     val header : pos_ -> pblID -> metID -> pblmet
    81     val insert_ppc :
    82        theory ->
    83        int * SpecifyTools.vats * bool * string * SpecifyTools.itm_ ->
    84        SpecifyTools.itm list -> SpecifyTools.itm list
    85     val insert_ppc' :
    86        SpecifyTools.itm -> SpecifyTools.itm list -> SpecifyTools.itm list
    87     val is_complete_mod : ptree * pos' -> bool
    88     val is_complete_mod_ : SpecifyTools.itm list -> bool
    89     val is_complete_modspec : ptree * pos' -> bool
    90     val is_complete_spec : ptree * pos' -> bool
    91     val is_copy_named : 'a * ('b * Term.term) -> bool
    92     val is_copy_named_idstr : string -> bool
    93     val is_error : SpecifyTools.itm_ -> bool
    94     val is_field_correct : ''a -> ''b -> (''a * ''b list) list -> bool
    95     val is_known :
    96        theory ->
    97        string ->
    98        SpecifyTools.ori list ->
    99        Term.term -> string * SpecifyTools.ori * Term.term list
   100     val is_list_type : Term.typ -> bool
   101     val is_notyet_input :
   102        theory ->
   103        SpecifyTools.itm list ->
   104        Term.term list ->
   105        SpecifyTools.ori ->
   106        ('a * (Term.term * Term.term)) list -> string * SpecifyTools.itm
   107     val is_parsed : SpecifyTools.itm_ -> bool
   108     val is_untouched : SpecifyTools.itm -> bool
   109     val matc :
   110        theory ->
   111        pat list ->
   112        Term.term list ->
   113        (int list * string * Term.term * Term.term list) list ->
   114        (int list * string * Term.term * Term.term list) list
   115     val match_ags :
   116        theory -> pat list -> Term.term list -> SpecifyTools.ori list
   117     val maxl : int list -> int
   118     val match_ags_msg : string list -> Term.term -> Term.term list -> unit
   119     val memI : ''a list -> ''a -> bool
   120     val mk_additem : string -> cterm' -> tac
   121     val mk_delete : theory -> string -> SpecifyTools.itm_ -> tac
   122     val mtc :
   123        theory -> pat -> Term.term -> SpecifyTools.preori option
   124     val nxt_add :
   125        theory ->
   126        SpecifyTools.ori list ->
   127        (string * (Term.term * 'a)) list ->
   128        SpecifyTools.itm list -> (string * cterm') option
   129     val nxt_model_pbl : tac_ -> ptree * (int list * pos_) -> tac_
   130     val nxt_spec :
   131        pos_ ->
   132        bool ->
   133        SpecifyTools.ori list ->
   134        spec ->
   135        SpecifyTools.itm list * SpecifyTools.itm list ->
   136        (string * (Term.term * 'a)) list * (string * (Term.term * 'b)) list ->
   137        spec -> pos_ * tac
   138     val nxt_specif : tac -> ptree * (int list * pos_) -> calcstate'
   139     val nxt_specif_additem :
   140        string -> cterm' -> ptree * (int list * pos_) -> calcstate'
   141     val nxt_specify_init_calc : fmz -> calcstate
   142     val ocalhd_complete :
   143        SpecifyTools.itm list ->
   144        (bool * Term.term) list -> domID * pblID * metID -> bool
   145     val ori2Coritm :
   146 	pat list -> ori -> itm
   147     val ori_2itm :
   148        'a ->
   149        SpecifyTools.itm_ ->
   150        Term.term -> Term.term list -> SpecifyTools.ori -> SpecifyTools.itm
   151     val overwrite_ppc :
   152        theory ->
   153        int * SpecifyTools.vats * bool * string * SpecifyTools.itm_ ->
   154        SpecifyTools.itm list ->
   155        (int * SpecifyTools.vats * bool * string * SpecifyTools.itm_) list
   156     val parse_ok : SpecifyTools.itm_ list -> bool
   157     val posform2str : pos' * ptform -> string
   158     val posforms2str : (pos' * ptform) list -> string
   159     val posterms2str : (pos' * term) list -> string (*tests only*)
   160     val ppc135list : 'a SpecifyTools.ppc -> 'a list
   161     val ppc2list : 'a SpecifyTools.ppc -> 'a list
   162     val pt_extract :
   163        ptree * (int list * pos_) ->
   164        ptform * tac option * Term.term list
   165     val pt_form : ppobj -> ptform
   166     val pt_model : ppobj -> pos_ -> ptform
   167     val reset_calchead : ptree * pos' -> ptree * pos'
   168     val seek_oridts :
   169        theory ->
   170        string ->
   171        Term.term * Term.term list ->
   172        (int * SpecifyTools.vats * string * Term.term * Term.term list) list
   173        -> string * SpecifyTools.ori * Term.term list
   174     val seek_orits :
   175        theory ->
   176        string ->
   177        Term.term list ->
   178        (int * SpecifyTools.vats * string * Term.term * Term.term list) list
   179        -> string * SpecifyTools.ori * Term.term list
   180     val seek_ppc :
   181        int -> SpecifyTools.itm list -> SpecifyTools.itm option
   182     val show_pt : ptree -> unit
   183     val some_spec : spec -> spec -> spec
   184     val specify :
   185        tac_ ->
   186        pos' ->
   187        cid ->
   188        ptree ->
   189        (posel list * pos_) * ((posel list * pos_) * istate) * mout * tac *
   190        safe * ptree
   191     val specify_additem :
   192        string ->
   193        cterm' * 'a ->
   194        int list * pos_ ->
   195        'b ->
   196        ptree ->
   197        (pos * pos_) * ((pos * pos_) * istate) * mout * tac * safe * ptree
   198     val tag_form : theory -> term * term -> term
   199     val test_types : theory -> Term.term * Term.term list -> string
   200     val typeless : Term.term -> Term.term
   201     val unbound_ppc : term SpecifyTools.ppc -> Term.term list
   202     val vals_of_oris : SpecifyTools.ori list -> Term.term list
   203     val variants_in : Term.term list -> int
   204     val vars_of_pbl_ : ('a * ('b * Term.term)) list -> Term.term list
   205     val vars_of_pbl_' : ('a * ('b * Term.term)) list -> Term.term list
   206   end
   207  
   208 
   209 
   210 
   211 
   212 (*---------------------------------------------------------------------*)
   213 structure CalcHead (**): CALC_HEAD(**) =
   214 
   215 struct
   216 (*---------------------------------------------------------------------*)
   217 
   218 (* datatypes *)
   219 
   220 (*.the state wich is stored after each step of calculation; it contains
   221    the calc-state and a list of [tac,istate](="tacis") to be applied.
   222    the last_elem tacis is the first to apply to the calc-state and
   223    the (only) one shown to the front-end as the 'proposed tac'.
   224    the calc-state resulting from the application of tacis is not stored,
   225    because the tacis hold enought information for efficiently rebuilding
   226    this state just by "fun generate ".*)
   227 type calcstate = 
   228      (ptree * pos') *    (*the calc-state to which the tacis could be applied*)
   229      (taci list);        (*ev. several (hidden) steps; 
   230                            in REVERSE order: first tac_ to apply is last_elem*)
   231 val e_calcstate = ((EmptyPtree, e_pos'), [e_taci]):calcstate;
   232 
   233 (*the state used during one calculation within the mathengine; it contains
   234   a list of [tac,istate](="tacis") which generated the the calc-state;
   235   while this state's tacis are extended by each (internal) step,
   236   the calc-state is used for creating new nodes in the calc-tree
   237   (eg. applicable_in requires several particular nodes of the calc-tree)
   238   and then replaced by the the newly created;
   239   on leave of the mathengine the resuing calc-state is dropped anyway,
   240   because the tacis hold enought information for efficiently rebuilding
   241   this state just by "fun generate ".*)
   242 type calcstate' = 
   243      taci list *        (*cas. several (hidden) steps; 
   244                           in REVERSE order: first tac_ to apply is last_elem*)
   245      pos' list *        (*a "continuous" sequence of pos',
   246 			 deleted by application of taci list*)     
   247      (ptree * pos');    (*the calc-state resulting from the application of tacis*)
   248 val e_calcstate' = ([e_taci], [e_pos'], (EmptyPtree, e_pos')):calcstate';
   249 
   250 (*FIXXXME.WN020430 intermediate hack for fun ass_up*)
   251 fun f_mout thy (Form' (FormKF (_,_,_,_,f))) = (term_of o the o (parse thy)) f
   252   | f_mout thy _ = raise error "f_mout: not called with formula";
   253 
   254 
   255 (*.is the calchead complete ?.*)
   256 fun ocalhd_complete (its: itm list) (pre: (bool * term) list) (dI,pI,mI) = 
   257     foldl and_ (true, map #3 its) andalso 
   258     foldl and_ (true, map #1 pre) andalso 
   259     dI<>e_domID andalso pI<>e_pblID andalso mI<>e_metID;
   260 
   261 
   262 (* make a term 'typeless' for comparing with another 'typeless' term;
   263    'type-less' usually is illtyped                                  *)
   264 fun typeless (Const(s,_)) = (Const(s,e_type)) 
   265   | typeless (Free(s,_)) = (Free(s,e_type))
   266   | typeless (Var(n,_)) = (Var(n,e_type))
   267   | typeless (Bound i) = (Bound i)
   268   | typeless (Abs(s,_,t)) = Abs(s,e_type, typeless t)
   269   | typeless (t1 $ t2) = (typeless t1) $ (typeless t2);
   270 (*
   271 > val (SOME ct) = parse thy "max_relation (A=#2*a*b - a^^^#2)";
   272 > val (_,t1) = split_dsc_t hs (term_of ct);
   273 > val (SOME ct) = parse thy "A=#2*a*b - a^^^#2";
   274 > val (_,t2) = split_dsc_t hs (term_of ct);
   275 > typeless t1 = typeless t2;
   276 val it = true : bool
   277 *)
   278 
   279 
   280 
   281 (*.to an input (d,ts) find the according ori and insert the ts.*)
   282 (*WN.11.03: + dont take first inter<>[]*)
   283 fun seek_oridts thy sel (d,ts) [] = 
   284   ("'"^(Syntax.string_of_term (thy2ctxt thy) (comp_dts thy (d,ts)))^
   285    "' not found (typed)", (0,[],sel,d,ts):ori, [])
   286   (* val (id,vat,sel',d',ts')::oris = ori;
   287      val (id,vat,sel',d',ts') = ori;
   288      *)
   289   | seek_oridts thy sel (d,ts) ((id,vat,sel',d',ts')::(oris:ori list)) =
   290     if sel = sel' andalso d=d' andalso (inter op = ts ts') <> [] 
   291     then if sel = sel' 
   292 	 then ("", 
   293                (id,vat,sel,d, inter op = ts ts'):ori, 
   294                ts')
   295 	 else ((Syntax.string_of_term (thy2ctxt thy) (comp_dts thy (d,ts))) 
   296                ^ " not for " ^ sel, 
   297                e_ori_, 
   298                [])
   299     else seek_oridts thy sel (d,ts) oris;
   300 
   301 (*.to an input (_,ts) find the according ori and insert the ts.*)
   302 fun seek_orits thy sel ts [] = 
   303   ("'"^
   304    (strs2str (map (Syntax.string_of_term (thy2ctxt thy)) ts))^
   305    "' not found (typed)", e_ori_, [])
   306   | seek_orits thy sel ts ((id,vat,sel',d,ts')::(oris:ori list)) =
   307     if sel = sel' andalso (inter op = ts ts') <> [] 
   308       then if sel = sel' 
   309 	   then ("",
   310                  (id,vat,sel,d, inter op = ts ts'):ori, 
   311                  ts')
   312 	   else (((strs2str' o map (Syntax.string_of_term (thy2ctxt thy))) ts)
   313                  ^ " not for "^sel, 
   314                  e_ori_, 
   315                  [])
   316     else seek_orits thy sel ts oris;
   317 (* false
   318 > val ((id,vat,sel',d,ts')::(ori':ori)) = ori;
   319 > seek_orits thy sel ts [(id,vat,sel',d,ts')];
   320 uncaught exception TYPE
   321 > seek_orits thy sel ts [];
   322 uncaught exception TYPE
   323 *)
   324 
   325 (*find_first item with #1 equal to id*)
   326 fun seek_ppc id [] = NONE
   327   | seek_ppc id (p::(ppc:itm list)) =
   328     if id = #1 p then SOME p else seek_ppc id ppc;
   329 
   330 
   331 
   332 (*---------------------------------------------(3) nach ptyps.sml 23.3.02*)
   333 
   334 
   335 datatype appl = Appl of tac_ | Notappl of string;
   336 
   337 fun ppc2list ({Given=gis,Where=whs,Find=fis,
   338 	       With=wis,Relate=res}: 'a ppc) =
   339   gis @ whs @ fis @ wis @ res;
   340 fun ppc135list ({Given=gis,Find=fis,Relate=res,...}: 'a ppc) =
   341   gis @ fis @ res;
   342 
   343 
   344 
   345 
   346 (* get the number of variants in a problem in 'original',
   347    assumes equal descriptions in immediate sequence    *)
   348 fun variants_in ts =
   349   let fun eq(x,y) = head_of x = head_of y;
   350     fun cnt eq [] y n = ([n],[])
   351       | cnt eq (x::xs) y n = if eq(x,y) then cnt eq xs y (n+1)
   352 			     else ([n], x::xs);
   353     fun coll eq  xs [] = xs
   354       | coll eq  xs (y::ys) = 
   355       let val (n,ys') = cnt eq (y::ys) y 0;
   356       in if ys' = [] then xs @ n else coll eq  (xs @ n) ys' end;
   357     val vts = subtract op = [1] (distinct (coll eq [] ts));
   358   in case vts of [] => 1 | [n] => n
   359       | _ => error "different variants in formalization" end;
   360 (*
   361 > cnt (op=) [2,2,2,4,5,5,5,5,5] 2 0;
   362 val it = ([3],[4,5,5,5,5,5]) : int list * int list
   363 > coll (op=) [] [1,2,2,2,4,5,5,5,5,5];
   364 val it = [1,3,1,5] : int list
   365 *)
   366 
   367 fun is_list_type (Type("List.list",_)) = true
   368   | is_list_type _ = false;
   369 (* fun destr (Type(str,sort)) = (str,sort);
   370 > val (SOME ct) = parse thy "lll::real list";
   371 > val ty = (#T o rep_cterm) ct;
   372 > is_list_type ty;
   373 val it = true : bool 
   374 > destr ty;
   375 val it = ("List.list",["RealDef.real"]) : string * typ list
   376 > atomty ((#t o rep_cterm) ct);
   377 *** -------------
   378 *** Free ( lll, real list)
   379 val it = () : unit
   380  
   381 > val (SOME ct) = parse thy "[lll::real]";
   382 > val ty = (#T o rep_cterm) ct;
   383 > is_list_type ty;
   384 val it = true : bool 
   385 > destr ty;
   386 val it = ("List.list",["'a"]) : string * typ list
   387 > atomty ((#t o rep_cterm) ct);
   388 *** -------------
   389 *** Const ( List.list.Cons, [real, real list] => real list)
   390 ***   Free ( lll, real)
   391 ***   Const ( List.list.Nil, real list) 
   392 
   393 > val (SOME ct) = parse thy "lll";
   394 > val ty = (#T o rep_cterm) ct;
   395 > is_list_type ty;
   396 val it = false : bool  *)
   397 
   398 
   399 fun has_list_type (Free(_,T)) = is_list_type T
   400   | has_list_type _ = false;
   401 (*
   402 > val (SOME ct) = parse thy "lll::real list";
   403 > has_list_type (term_of ct);
   404 val it = true : bool
   405 > val (SOME ct) = parse thy "[lll::real]";
   406 > has_list_type (term_of ct);
   407 val it = false : bool *)
   408 
   409 fun is_parsed (Syn _) = false
   410   | is_parsed _ = true;
   411 fun parse_ok its = foldl and_ (true, map is_parsed its);
   412 
   413 fun all_dsc_in itm_s =
   414   let    
   415     fun d_in (Cor ((d,_),_)) = [d]
   416       | d_in (Syn c) = []
   417       | d_in (Typ c) = []
   418       | d_in (Inc ((d,_),_)) = [d]
   419       | d_in (Sup (d,_)) = [d]
   420       | d_in (Mis (d,_)) = [d];
   421   in (flat o (map d_in)) itm_s end;  
   422 
   423 (* 30.1.00 ---
   424 fun is_Syn (Syn _) = true
   425   | is_Syn (Typ _) = true
   426   | is_Syn _ = false;
   427  --- *)
   428 fun is_error (Cor (_,ts)) = false
   429   | is_error (Sup (_,ts)) = false
   430   | is_error (Inc (_,ts)) = false
   431   | is_error (Mis (_,ts)) = false
   432   | is_error _ = true;
   433 
   434 (* 30.1.00 ---
   435 fun ct_in (Syn (c)) = c
   436   | ct_in (Typ (c)) = c
   437   | ct_in _ = raise error "ct_in called for Cor .. Sup";
   438  --- *)
   439 
   440 (*#############################################################*)
   441 (*#############################################################*)
   442 (* vvv--- aus nnewcode.sml am 30.1.00 ---vvv *)
   443 
   444 
   445 (* testdaten besorgen:
   446    use"test-coil-kernel.sml";
   447    val (PblObj{origin=(oris,_,_),meth={ppc=itms,...},...}) = 
   448         get_obj I pt p;
   449   *)
   450 
   451 (* given oris, ppc, 
   452    variant V: oris union ppc => int, id ID: oris union ppc => int
   453 
   454    ppc is_complete == 
   455      EX vt:V. ALL r:oris --> EX i:ppc. ID r = ID i  &  complete i
   456 
   457    and
   458      @vt = max sum(i : ppc) V i
   459 *)
   460 
   461 
   462 
   463 (*
   464 > ((vts_cnt (vts_in itms))) itms;
   465 
   466 
   467 
   468 ---^^--test 10.3.
   469 > val vts = vts_in itms;
   470 val vts = [1,2,3] : int list
   471 > val nvts = vts_cnt vts itms;
   472 val nvts = [(1,6),(2,5),(3,7)] : (int * int) list
   473 > val mx = max2 nvts;
   474 val mx = (3,7) : int * int
   475 > val v = max_vt itms;
   476 val v = 3 : int
   477 --------------------------
   478 > 
   479 *)
   480 
   481 (*.get the first term in ts from ori.*)
   482 (* val (_,_,fd,d,ts) = hd miss;
   483    *)
   484 fun getr_ct thy ((_,_,fd,d,ts):ori) =
   485   (fd, ((Syntax.string_of_term (thy2ctxt thy)) o 
   486         (comp_dts thy)) (d,[hd ts]):cterm');
   487 (* val t = comp_dts thy (d,[hd ts]);
   488    *)
   489 
   490 (* get a term from ori, notyet input in itm *)
   491 fun geti_ct thy ((_,_,_,d,ts):ori) ((_,_,_,fd,itm_):itm) =  
   492   (fd, ((Syntax.string_of_term (thy2ctxt thy)) o (comp_dts thy)) 
   493            (d, subtract op = (ts_in itm_) ts):cterm');
   494 (* test-maximum.sml fmy <> [], Init_Proof ...
   495    val (_,_,_,d,ts) = ori; val (_,_,_,fd,itm_) = hd icl;
   496    val d' $ ts' = (term_of o the o (parse thy)) "fixedValues [r=Arbfix]";
   497    atomty d;
   498    atomty d';
   499    atomty (hd ts);
   500    atomty ts';
   501    cterm_of thy (d $ (hd ts));
   502    cterm_of thy (d' $ ts');
   503 
   504    comp_dts thy (d,ts);
   505    *)
   506 
   507 
   508 (* in FE dsc, not dat: this is in itms ...*)
   509 fun is_untouched ((_,_,false,_,Inc((_,[]),_)):itm) = true
   510   | is_untouched _ = false;
   511 
   512 
   513 (* select an item in oris, notyet input in itms 
   514    (precondition: in itms are only Cor, Sup, Inc) *)
   515 local infix mem;
   516 fun x mem [] = false
   517   | x mem (y :: ys) = x = y orelse x mem ys;
   518 in 
   519 fun nxt_add thy ([]:ori list) pbt itms = (*root (only) ori...fmz=[]*)
   520   let
   521     fun test_d d ((i,_,_,_,itm_):itm) = (d = (d_in itm_)) andalso i<>0; 
   522     fun is_elem itms (f,(d,t)) = 
   523       case find_first (test_d d) itms of 
   524 	SOME _ => true | NONE => false;
   525   in case filter_out (is_elem itms) pbt of
   526 (* val ((f,(d,_))::itms) = filter_out (is_elem itms) pbt;
   527    *)
   528     (f,(d,_))::itms => 
   529       SOME (f:string, ((Syntax.string_of_term (thy2ctxt thy)) o comp_dts thy) (d,[]):cterm')
   530   | _ => NONE end
   531 
   532 (* val (thy,itms) = (assoc_thy (if dI=e_domID then dI' else dI),pbl);
   533    *)
   534   | nxt_add thy oris pbt itms =
   535   let
   536     fun testr_vt v ori = (curry (op mem) v) (#2 (ori:ori))
   537       andalso (#3 ori) <>"#undef";
   538     fun testi_vt v itm = (curry (op mem) v) (#2 (itm:itm));
   539     fun test_id ids r = curry (op mem) (#1 (r:ori)) ids;
   540 (* val itm = hd icl; val (_,_,_,d,ts) = v6;
   541    *)
   542     fun test_subset (itm:itm) ((_,_,_,d,ts):ori) = 
   543 	(d_in (#5 itm)) = d andalso subset op = (ts_in (#5 itm), ts);
   544     fun false_and_not_Sup((i,v,false,f,Sup _):itm) = false
   545       | false_and_not_Sup (i,v,false,f, _) = true
   546       | false_and_not_Sup  _ = false;
   547 
   548     val v = if itms = [] then 1 else max_vt itms;
   549     val vors = if v = 0 then oris else filter (testr_vt v) oris;(*oris..vat*)
   550     val vits = if v = 0 then itms (*because of dsc without dat*)
   551 	       else filter (testi_vt v) itms;                   (*itms..vat*)
   552     val icl = filter false_and_not_Sup vits; (* incomplete *)
   553   in if icl = [] 
   554      then case filter_out (test_id (map #1 vits)) vors of
   555 	      [] => NONE
   556 	    (* val miss = filter_out (test_id (map #1 vits)) vors;
   557 	       *)
   558 	    | miss => SOME (getr_ct thy (hd miss))
   559      else
   560 	 case find_first (test_subset (hd icl)) vors of
   561 	     (* val SOME ori = find_first (test_subset (hd icl)) vors;
   562 	      *)
   563 	     NONE => raise error "nxt_add: EX itm. not(dat(itm)<=dat(ori))"
   564 	   | SOME ori => SOME (geti_ct thy ori (hd icl))
   565   end
   566 end;
   567 
   568 
   569 
   570 fun mk_delete thy "#Given"  itm_ = Del_Given   (itm_out thy itm_)
   571   | mk_delete thy "#Find"   itm_ = Del_Find    (itm_out thy itm_)
   572   | mk_delete thy "#Relate" itm_ = Del_Relation(itm_out thy itm_)
   573   | mk_delete thy str _ = 
   574   raise error ("mk_delete: called with field '"^str^"'");
   575 fun mk_additem "#Given" ct = Add_Given ct
   576   | mk_additem "#Find"  ct = Add_Find ct    
   577   | mk_additem "#Relate"ct = Add_Relation ct
   578   | mk_additem str _ = 
   579   raise error ("mk_additem: called with field '"^str^"'");
   580 
   581 
   582 
   583 
   584 
   585 (* find the next tac in specify (except nxt_model_pbl)
   586    4.00.: TODO: do not return a pos !!!
   587           (sind from DG comes the _OLD_ writepos)*)
   588 (* 
   589 > val (pbl,pbt,mpc) =(pbl',get_pbt cpI,(#ppc o get_met) cmI);
   590 > val (dI,pI,mI) = empty_spec;
   591 > nxt_spec Pbl (oris:ori list) ((dI',pI',mI'):spec(*original*))
   592   ((pbl:itm list), (met:itm list)) (pbt,mpc) ((dI,pI,mI):spec);
   593 
   594 at Init_Proof:
   595 > val met = [];val (pbt,mpc) = (get_pbt pI',(#ppc o get_met) mI');
   596 > val (dI,pI,mI) = empty_spec;
   597 > nxt_spec Pbl (oris:ori list) ((dI',pI',mI'):spec(*original*))
   598   ((pbl:itm list), (met:itm list)) (pbt,mpc) ((dI,pI,mI):spec);
   599   *)
   600 
   601 (*. determine the next step of specification;
   602     not done here: Refine_Tacitly (otherwise *** unknown method: (..., no_met))
   603 eg. in rootpbl 'no_met': 
   604 args:
   605   preok          predicates are _all_ ok, or problem matches completely
   606   oris           immediately from formalization 
   607   (dI',pI',mI')  specification coming from author/parent-problem
   608   (pbl,          item lists specified by user
   609    met)          -"-, tacitly completed by copy_probl
   610   (dI,pI,mI)     specification explicitly done by the user
   611   (pbt, mpc)     problem type, guard of method
   612 .*)
   613 (* val (preok,pbl,pbt,mpc)=(pb,pbl',(#ppc o get_pbt) cpI,(#ppc o get_met) cmI);
   614    val (preok,pbl,pbt,mpc)=(pb,pbl',ppc,(#ppc o get_met) cmI);
   615    val (Pbl, preok, oris, (dI',pI',mI'), (pbl,met), (pbt,mpc), (dI,pI,mI)) =
   616        (p_, pb, oris, (dI',pI',mI'), (probl,meth), 
   617 	(ppc, (#ppc o get_met) cmI), (dI,pI,mI));
   618    *)
   619 fun nxt_spec Pbl preok (oris:ori list) ((dI',pI',mI'):spec)
   620   ((pbl:itm list), (met:itm list)) (pbt,mpc) ((dI,pI,mI):spec) = 
   621   ((*writeln"### nxt_spec Pbl";*)
   622    if dI'=e_domID andalso dI=e_domID then (Pbl, Specify_Theory dI')
   623    else if pI'=e_pblID andalso pI=e_pblID then (Pbl, Specify_Problem pI')
   624 	else case find_first (is_error o #5) (pbl:itm list) of
   625 	  SOME (_,_,_,fd,itm_) => 
   626 	      (Pbl, mk_delete 
   627 	       (assoc_thy (if dI=e_domID then dI' else dI)) fd itm_)
   628 	| NONE => 
   629 	    ((*writeln"### nxt_spec is_error NONE";*)
   630 	     case nxt_add (assoc_thy (if dI=e_domID then dI' else dI)) 
   631 		 oris pbt pbl of
   632 (* val SOME (fd,ct') = nxt_add (assoc_thy (if dI=e_domID then dI' else dI)) 
   633                        oris pbt pbl;
   634   *)
   635 	       SOME (fd,ct') => ((*writeln"### nxt_spec nxt_add SOME";*)
   636 				 (Pbl, mk_additem fd ct'))
   637 	     | NONE => (*pbl-items complete*)
   638 	       if not preok then (Pbl, Refine_Problem pI')
   639 	       else
   640 		 if dI = e_domID then (Pbl, Specify_Theory dI')
   641 		 else if pI = e_pblID then (Pbl, Specify_Problem pI')
   642 		      else if mI = e_metID then (Pbl, Specify_Method mI')
   643 			   else
   644 			     case find_first (is_error o #5) met of
   645 			       SOME (_,_,_,fd,itm_) => 
   646 				   (Met, mk_delete (assoc_thy dI) fd itm_)
   647 			     | NONE => 
   648 				 (case nxt_add (assoc_thy dI) oris mpc met of
   649 				      SOME (fd,ct') => (*30.8.01: pre?!?*)
   650 				      (Met, mk_additem fd ct')
   651 				    | NONE => 
   652 				      ((*Solv 3.4.00*)Met, Apply_Method mI))))
   653 (* val preok=pb; val (pbl, met) = (pbl,met');
   654    val (pbt,mpc)=((#ppc o get_pbt) cpI,(#ppc o get_met) cmI);
   655    val (Met, preok, oris, (dI',pI',mI'), (pbl,met), (pbt,mpc), (dI,pI,mI)) =
   656        (p_, pb, oris, (dI',pI',mI'), (probl,meth), 
   657 	(ppc, (#ppc o get_met) cmI), (dI,pI,mI));
   658    *)
   659   | nxt_spec Met preok oris (dI',pI',mI') (pbl, met) (pbt,mpc) (dI,pI,mI) = 
   660   ((*writeln"### nxt_spec Met"; *)
   661    case find_first (is_error o #5) met of
   662      SOME (_,_,_,fd,itm_) => 
   663 	 (Met, mk_delete (assoc_thy (if dI=e_domID then dI' else dI)) fd itm_)
   664    | NONE => 
   665        case nxt_add (assoc_thy (if dI=e_domID then dI' else dI))oris mpc met of
   666 	 SOME (fd,ct') => (Met, mk_additem fd ct')
   667        | NONE => 
   668 	   ((*writeln"### nxt_spec Met: nxt_add NONE";*)
   669 	    if dI = e_domID then (Met, Specify_Theory dI')
   670 	    else if pI = e_pblID then (Met, Specify_Problem pI')
   671 		 else if not preok then (Met, Specify_Method mI)
   672 		      else (Met, Apply_Method mI)));
   673 	  
   674 (* di_ pI_ mI_ pos_
   675 val itms = [(1,[1],true,"#Find",Cor(e_term,[e_term])):itm,
   676 	    (2,[2],true,"#Find",Syn("empty"))];
   677 *)
   678 
   679 
   680 (* ^^^--- aus nnewcode.sml am 30.1.00 ---^^^ *)
   681 (*#############################################################*)
   682 (*#############################################################*)
   683 (* vvv--- aus nnewcode.sml vor 29.1.00 ---vvv *)
   684 
   685 (*3.3.--
   686 fun update_itm (cl,d,ts) ((id,vt,_,sl,Cor (_,_)):itm) = 
   687   (id,vt,cl,sl,Cor (d,ts)):itm
   688   | update_itm (cl,d,ts) (id,vt,_,sl,Syn (_)) =   
   689   raise error ("update_itm "^((Syntax.string_of_term (thy2ctxt thy)) (comp_dts thy (d,ts)))^
   690 	       " not not for Syn (s:cterm')")
   691   | update_itm (cl,d,ts) (id,vt,_,sl,Typ (_)) = 
   692   raise error ("update_itm "^((Syntax.string_of_term (thy2ctxt thy)) (comp_dts thy (d,ts)))^
   693 	       " not not for Typ (s:cterm')")
   694   | update_itm (cl,d,ts) (id,vt,_,sl,Fal (_,_)) =
   695   (id,vt,cl,sl,Fal (d,ts))
   696   | update_itm (cl,d,ts) (id,vt,_,sl,Inc (_,_)) =
   697   (id,vt,cl,sl,Inc (d,ts))
   698   | update_itm (cl,d,ts) (id,vt,_,sl,Sup (_,_)) =
   699   (id,vt,cl,sl,Sup (d,ts));
   700 *)
   701 
   702 
   703 
   704 
   705 fun is_field_correct sel d dscpbt =
   706   case assoc (dscpbt, sel) of
   707     NONE => false
   708   | SOME ds => member op = ds d;
   709 
   710 (*. update the itm_ already input, all..from ori .*)
   711 (* val (id,vt,fd,d,ts) = (i,v,f,d,ts\\ts');
   712    *)
   713 fun ori_2itm thy itm_ pid all ((id,vt,fd,d,ts):ori) = 
   714   let 
   715     val ts' = union op = (ts_in itm_) ts;
   716     val pval = pbl_ids' thy d ts'
   717 	(*WN.9.5.03: FIXXXME [#0, epsilon]
   718 	  here would upd_penv be called for [#0, epsilon] etc. *)
   719     val complete = if eq_set op = (ts', all) then true else false;
   720   in case itm_ of
   721     (Cor _) => 
   722 	(if fd = "#undef" then (id,vt,complete,fd,Sup(d,ts')) 
   723 	 else (id,vt,complete,fd,Cor((d,ts'),(pid, pval)))):itm
   724   | (Syn c)     => raise error ("ori_2itm wants to overwrite "^c)
   725   | (Typ c)     => raise error ("ori_2itm wants to overwrite "^c)
   726   | (Inc _) => if complete
   727 	       then (id,vt,true ,fd, Cor ((d,ts'),(pid, pval)))
   728 	       else (id,vt,false,fd, Inc ((d,ts'),(pid, pval)))
   729   | (Sup ((*_,_*)d,ts')) => (*4.9.01 lost env*)
   730 	 (*if fd = "#undef" then*) (id,vt,complete,fd,Sup(d,ts'))
   731 	 (*else (id,vt,complete,fd,Cor((d,ts'),e))*)
   732 (* 28.1.00: not completely clear ---^^^ etc.*)
   733 (* 4.9.01: Mis just copied---vvv *)
   734   | (Mis _) => if complete
   735 		     then (id,vt,true ,fd, Cor ((d,ts'),(pid, pval)))
   736 		     else (id,vt,false,fd, Inc ((d,ts'),(pid, pval)))
   737   end;
   738 
   739 
   740 fun eq1 d (_,(d',_)) = (d = d');
   741 fun eq3 f d (_,_,_,f',itm_) = f = f' andalso d = (d_in itm_); 
   742 
   743 
   744 (* 'all' ts from ori; ts is the input; (ori carries rest of info)
   745    9.01: this + ori_2itm is _VERY UNCLEAR_ ? overhead ?
   746    pval: value for problem-environment _NOT_ checked for 'inter' --
   747    -- FIXXME.WN.11.03 the generation of penv has to go to insert_ppc
   748   (as it has been done for input_icalhd+insert_ppc' in 11.03)*)
   749 (*. is_input ori itms <=> 
   750     EX itm. (1) ori(field,dsc) = itm(field,dsc) & (2..4)
   751             (2) ori(ts) subset itm(ts)        --- Err "already input"       
   752 	    (3) ori(ts) inter itm(ts) = empty --- new: ori(ts)
   753 	    (4) -"- <> empty                  --- new: ori(ts) \\ inter .*)
   754 (* val(itms,(i,v,f,d,ts)) = (ppc,ori');
   755    *)
   756 fun is_notyet_input thy (itms:itm list) all ((i,v,f,d,ts):ori) pbt =
   757   case find_first (eq1 d) pbt of
   758       SOME (_,(_,pid)) =>(* val SOME (_,(_,pid)) = find_first (eq1 d) pbt;
   759                             val SOME (_,_,_,_,itm_)=find_first (eq3 f d) itms;
   760 			   *)
   761       (case find_first (eq3 f d) itms of
   762 	   SOME (_,_,_,_,itm_) =>
   763 	   let 
   764 	       val ts' = inter op = (ts_in itm_) ts;
   765 	   in if subset op = (ts, ts') 
   766 	      then (((strs2str' o 
   767 		      map (Syntax.string_of_term (thy2ctxt thy))) ts')^
   768 		    " already input", e_itm)                            (*2*)
   769 	      else ("", 
   770                     ori_2itm thy itm_ pid all (i,v,f,d,
   771                                                subtract op = ts' ts))   (*3,4*)
   772 	   end
   773 	 | NONE => ("", ori_2itm thy (Inc ((e_term,[]),(pid,[]))) 
   774 				 pid all (i,v,f,d,ts))                  (*1*)
   775 	)
   776     | NONE => ("", ori_2itm thy (Sup (d,ts)) 
   777 			      e_term all (i,v,f,d,ts));
   778 
   779 fun test_types thy (d,ts) =
   780   let 
   781     val s = !show_types; val _ = show_types:= true;
   782     val opt = (try (comp_dts thy)) (d,ts);
   783     val msg = case opt of 
   784       SOME _ => "" 
   785     | NONE => ((Syntax.string_of_term (thy2ctxt thy) d)^" "^
   786 	     ((strs2str' o map (Syntax.string_of_term (thy2ctxt thy))) ts)
   787 	     ^ " is illtyped");
   788     val _ = show_types:= s
   789   in msg end;
   790 
   791 
   792 
   793 fun maxl [] = raise error "maxl of []"
   794   | maxl (y::ys) =
   795   let fun mx x [] = x
   796 	| mx x (y::ys) = if x < (y:int) then mx y ys else mx x ys
   797   in mx y ys end;
   798 
   799 
   800 (*. is the input term t known in oris ? 
   801     give feedback on all(?) strange input;
   802     return _all_ terms already input to this item (e.g. valuesFor a,b) .*)
   803 (*WN.11.03: from lists*)
   804 fun is_known thy sel ori t =
   805 (* val (ori,t)=(oris,term_of ct);
   806    *)
   807   let
   808     val ots = (distinct o flat o (map #5)) (ori:ori list);
   809     val oids = ((map (fst o dest_Free)) o distinct o 
   810 		flat o (map vars)) ots;
   811     val (d,ts(*,pval*)) = split_dts thy t;
   812     val ids = map (fst o dest_Free) 
   813       ((distinct o (flat o (map vars))) ts);
   814   in if (subtract op = oids ids) <> []
   815      then (("identifiers "^(strs2str' (subtract op = oids ids))^
   816 	    " not in example"), e_ori_, [])
   817      else 
   818 	 if d = e_term 
   819 	 then 
   820 	     if not (subset op = (map typeless ts, map typeless ots))
   821 	     then (("terms '"^
   822 		    ((strs2str' o (map (Syntax.string_of_term 
   823 					    (thy2ctxt thy)))) ts)^
   824 		    "' not in example (typeless)"), e_ori_, [])
   825 	     else (case seek_orits thy sel ts ori of
   826 		       ("", ori_ as (_,_,_,d,ts), all) =>
   827 		       (case test_types thy (d,ts) of
   828 			    "" => ("", ori_, all)
   829 			  | msg => (msg, e_ori_, []))
   830 		     | (msg,_,_) => (msg, e_ori_, []))
   831 	 else 
   832 	     if member op = (map #4 ori) d
   833 	     then seek_oridts thy sel (d,ts) ori
   834 	     else ((Syntax.string_of_term (thy2ctxt thy) d)^
   835 		   (*" not in example", e_ori_, []) ///11.11.03*)
   836 		   " not in example", (0,[],sel,d,ts), [])
   837   end;
   838 
   839 
   840 (*. for return-value of appl_add .*)
   841 datatype additm =
   842 	 Add of itm
   843        | Err of string;    (*error-message*)
   844 
   845 
   846 (*. add an item; check wrt. oris and pbt .*)
   847 
   848 (* in contrary to oris<>[] below, this part handles user-input
   849    extremely acceptive, i.e. accept input instead error-msg *)
   850 fun appl_add thy sel ([]:ori list) ppc pbt ct' =
   851 (* val (ppc,pbt,ct',env) = (pbl, (#ppc o get_pbt) cpI, ct, []:envv);
   852    !!!! 28.8.01: env tested _minimally_ !!!
   853    *)
   854   let 
   855     val i = 1 + (if ppc=[] then 0 else maxl (map #1 ppc));
   856   in case parse thy ct' of (*should be done in applicable_in 4.00.FIXME*)
   857     NONE => Add (i,[],false,sel,Syn ct')
   858 (* val (SOME ct) = parse thy ct';
   859    *)
   860   | SOME ct =>
   861       let
   862 	val (d,ts(*,pval*)) = split_dts thy (term_of ct);
   863       in if d = e_term 
   864 	 then Add (i,[],false,sel,Mis (dsc_unknown,hd ts(*24.3.02*)))
   865       
   866 	 else  
   867 	   (case find_first (eq1 d) pbt of
   868 	     NONE => Add (i,[],true,sel,Sup ((d,ts)))
   869 	   | SOME (f,(_,id)) =>
   870 (* val SOME (f,(_,id)) = find_first (eq1 d) pbt;
   871    *)
   872 	       let
   873 		 fun eq2 d ((i,_,_,_,itm_):itm) = 
   874 		     (d = (d_in itm_)) andalso i<>0;
   875 	       in case find_first (eq2 d) ppc of 
   876 		 NONE => Add (i,[],true,f, Cor ((d,ts), (id, (*pval*)
   877 							 pbl_ids' thy d ts)))
   878 	       | SOME (i',_,_,_,itm_) => 
   879 (* val SOME (i',_,_,_,itm_) = find_first (eq2 d) ppc;
   880    val NONE = find_first (eq2 d) ppc;
   881    *)
   882 		   if is_list_dsc d
   883 		   then let val ts = union op = ts (ts_in itm_) 
   884 			in Add (if ts_in itm_ = [] then i else i',
   885 				 [],true,f,Cor ((d, ts), (id, (*pval*)
   886 							  pbl_ids' thy d ts)))
   887 			end
   888 		   else Add (i',[],true,f,Cor ((d,ts),(id, (*pval*)
   889 						       pbl_ids' thy d ts)))
   890 	       end
   891 	   )
   892       end
   893   end
   894 (*. add ct to ppc .*)
   895 (*FIXXME: accept items as Sup, Syn here, too (like appl_add..oris=[] above)*)
   896 (* val (ppc,pbt) = (pbl, ppc);
   897    val (ppc,pbt) = (met, (#ppc o get_met) cmI);
   898 
   899    val (ppc,pbt) = (pbl, (#ppc o get_pbt) cpI);
   900    *)
   901   | appl_add thy sel oris ppc pbt(*only for upd_envv*) ct = 
   902   let
   903     val ctopt = parse thy ct;
   904   in case ctopt of
   905     NONE => Err ("syntax error in "^ct)
   906   | SOME ct =>(* val SOME ct = ctopt;
   907 		 val (msg,ori',all) = is_known thy sel oris (term_of ct);
   908 		 val (msg,itm) = is_notyet_input thy ppc all ori' pbt;
   909 		*) 
   910     (case is_known thy sel oris (term_of ct) of
   911 	 ("",ori'(*ts='ct'*), all) => 
   912 	 (case is_notyet_input thy ppc all ori' pbt of
   913 	      ("",itm)  => Add itm
   914 	    | (msg,_) => Err msg)
   915        | (msg,_,_) => Err msg)
   916   end;
   917 (* 
   918 > val (msg,itm) = is_notyet_input thy ppc all ori';
   919 val itm = (12,[3],false,"#Relate",Cor (Const #,[#,#])) : itm
   920 > val itm_ = #5 itm;
   921 > val ts = ts_in itm_;
   922 > map (atomty) ts; 
   923 *)
   924 
   925 (*---------------------------------------------(4) nach ptyps.sml 23.3.02*)
   926 
   927 
   928 (** make oris from args of the stac SubProblem and from pbt **)
   929 
   930 (*.can this formal argument (of a model-pattern) be omitted in the arg-list
   931    of a SubProblem ? see ME/ptyps.sml 'type met '.*)
   932 fun is_copy_named_idstr str =
   933     case (rev o explode) str of
   934 	"_"::_::"_"::_ => true
   935       | _ => false;
   936 (*> is_copy_named_idstr "v_i_";
   937 val it = true : bool
   938   > is_copy_named_idstr "e_";
   939 val it = false : bool 
   940   > is_copy_named_idstr "L___";
   941 val it = true : bool
   942 *)
   943 (*.should this formal argument (of a model-pattern) create a new identifier?.*)
   944 fun is_copy_named_generating_idstr str =
   945     if is_copy_named_idstr str
   946     then case (rev o explode) str of
   947 	"_"::"_"::"_"::_ => false
   948       | _ => true
   949     else false;
   950 (*> is_copy_named_generating_idstr "v_i_";
   951 val it = true : bool
   952   > is_copy_named_generating_idstr "L___";
   953 val it = false : bool
   954 *)
   955 
   956 (*.can this formal argument (of a model-pattern) be omitted in the arg-list
   957    of a SubProblem ? see ME/ptyps.sml 'type met '.*)
   958 fun is_copy_named (_,(_,t)) = (is_copy_named_idstr o free2str) t;
   959 (*.should this formal argument (of a model-pattern) create a new identifier?.*)
   960 fun is_copy_named_generating (_,(_,t)) = 
   961     (is_copy_named_generating_idstr o free2str) t;
   962 
   963 
   964 (*.split type-wrapper from scr-arg and build part of an ori;
   965    an type-error is reported immediately, raises an exn, 
   966    subsequent handling of exn provides 2nd part of error message.*)
   967 (*fun mtc thy ((str, (dsc, _)):pat) (ty $ var) =   WN100820 made cterm to term 
   968     (* val (thy, (str, (dsc, _)), (ty $ var)) =
   969 	   (thy,  p,               a);
   970        *)
   971     (cterm_of thy (dsc $ var);(*type check*)
   972      SOME ((([1], str, dsc, (*[var]*)
   973 	    split_dts' (dsc, var))): preori)(*:ori without leading #*))
   974     handle e  as TYPE _ => 
   975 	   (writeln (dashs 70^"\n"
   976 		      ^"*** ERROR while creating the items for the model of the ->problem\n"
   977 		      ^"*** from the ->stac with ->typeconstructor in arglist:\n"
   978 		      ^"*** item (->description ->value): "^term2str dsc^" "^term2str var^"\n"
   979 		      ^"*** description: "^(term_detail2str dsc)
   980 		      ^"*** value: "^(term_detail2str var)
   981 		      ^"*** typeconstructor in script: "^(term_detail2str ty)
   982 		      ^"*** checked by theory: "^(theory2str thy)^"\n"
   983 		      ^"*** "^dots 66);	     
   984 	     print_exn e; (*raises exn again*)
   985 	    NONE);*)
   986 fun mtc thy ((str, (dsc, _)):pat) (ty $ var) =
   987     (* val (thy, (str, (dsc, _)), (ty $ var)) =
   988 	   (thy,  p,               a);
   989        *)
   990     (cterm_of thy (dsc $ var);(*type check*)
   991      SOME ((([1], str, dsc, (*[var]*)
   992 	    split_dts' (dsc, var))): preori)(*:ori without leading #*))
   993     handle e  as TYPE _ => 
   994 	   (writeln (dashs 70^"\n"
   995 		      ^"*** ERROR while creating the items for the model of the ->problem\n"
   996 		      ^"*** from the ->stac with ->typeconstructor in arglist:\n"
   997 		      ^"*** item (->description ->value): "^term2str dsc^" "^term2str var^"\n"
   998 		      ^"*** description: "^(term_detail2str dsc)
   999 		      ^"*** value: "^(term_detail2str var)
  1000 		      ^"*** typeconstructor in script: "^(term_detail2str ty)
  1001 		      ^"*** checked by theory: "^(theory2str thy)^"\n"
  1002 		      ^"*** "^dots 66);	     
  1003 	    (*WN100820 postponed: print_exn e; raises exn again*)
  1004 	    NONE);
  1005 (*> val pbt = (#ppc o get_pbt) ["univariate","equation"];
  1006 > val Const ("Script.SubProblem",_) $
  1007 	  (Const ("Pair",_) $ Free (thy', _) $
  1008 		 (Const ("Pair",_) $ pblID' $ metID')) $ ags =
  1009     str2term"(SubProblem (SqRoot_,[univariate,equation],\
  1010 	    \[SqRoot_,solve_linear]) [bool_ (x+1- 2=0), real_ x])::bool list";
  1011 > val ags = isalist2list ags;
  1012 > mtc thy (hd pbt) (hd ags);
  1013 val it = SOME ([1],"#Given",Const (#,#),[# $ #]) *)
  1014 
  1015 (*.match each pat of the model-pattern with an actual argument;
  1016    precondition: copy-named vars are filtered out.*)
  1017 fun matc thy ([]:pat list)  _  (oris:preori list) = oris
  1018   | matc thy pbt [] _ =
  1019     (writeln (dashs 70);
  1020      raise error ("actual arg(s) missing for '"^pats2str pbt
  1021 		 ^"' i.e. should be 'copy-named' by '*_._'"))
  1022   | matc thy ((p as (s,(d,t)))::pbt) (a::ags) oris =
  1023     (* val (thy, ((p as (s,(d,t)))::pbt), (a::ags), oris) =
  1024 	   (thy,  pbt',                    ags,     []);
  1025        (*recursion..*)
  1026        val (thy, ((p as (s,(d,t)))::pbt), (a::ags), oris) =
  1027 	   (thy,  pbt,                     ags,    (oris @ [ori]));
  1028        *)
  1029     (*del?..*)if (is_copy_named_idstr o free2str) t then oris
  1030     else(*..del?*) let val opt = mtc thy p a;  
  1031 	 in case opt of
  1032 		(* val SOME ori = mtc thy p a;
  1033 		   *)
  1034 		SOME ori => matc thy pbt ags (oris @ [ori])
  1035 	      | NONE => [](*WN050903 skipped by exn handled in match_ags*)
  1036 	 end; 
  1037 (* run subp-rooteq.sml until Init_Proof before ...
  1038 > val Nd (PblObj {origin=(oris,_,_),...},_) = pt;(*from test/subp-rooteq.sml*)
  1039 > fun xxxfortest (_,a,b,c,d) = (a,b,c,d);val oris = map xxxfortest oris;
  1040 
  1041  other vars as in mtc ..
  1042 > matc thy (drop_last pbt) ags [];
  1043 val it = ([[1],"#Given",Const #,[#]),(0,[#],"#Given",Const #,[#])],2)*)
  1044 
  1045 
  1046 (*WN051014 outcommented with redesign copy-named (for omitting '#Find'
  1047   in SubProblem); 
  1048   kept as initial idea for generating x_1, x_2, ... for equations*)
  1049 fun cpy_nam (pbt:pat list) (oris:preori list) (p as (field,(dsc,t)):pat) =
  1050 (* val ((pbt:pat list), (oris:preori list), ((field,(dsc,t)):pat)) =
  1051        (pbt',            oris',             hd (*!!!!!*) cy);
  1052    *)
  1053   (if is_copy_named_generating p
  1054    then (*WN051014 kept strange old code ...*)
  1055        let fun sel (_,_,d,ts) = comp_ts (d, ts) 
  1056 	   val cy' = (implode o drop_last o drop_last o explode o free2str) t
  1057 	   val ext = (last_elem o drop_last o explode o free2str) t
  1058 	   val vars' = map (free2str o snd o snd) pbt(*cpy-nam filtered_out*)
  1059 	   val vals = map sel oris
  1060 	   val cy_ext = (free2str o the) (assoc (vars'~~vals, cy'))^"_"^ext
  1061        in ([1], field, dsc, [mk_free (type_of t) cy_ext]):preori end
  1062    else ([1], field, dsc, [t])
  1063 	)
  1064   handle _ => raise error ("cpy_nam: for "^(term2str t));
  1065 
  1066 (*> val (field,(dsc,t)) = last_elem pbt;
  1067 > cpy_nam pbt (drop_last oris) (field,(dsc,t));
  1068 val it = ([1],"#Find",
  1069    Const ("Descript.solutions","bool List.list => Tools.toreall"),
  1070    [Free ("x_i","bool List.list")])                             *)
  1071 
  1072 
  1073 (*.match the actual arguments of a SubProblem with a model-pattern
  1074    and create an ori list (in root-pbl created from formalization).
  1075    expects ags:pats = 1:1, while copy-named are filtered out of pats;
  1076    copy-named pats are appended in order to get them into the model-items.*)
  1077 fun match_ags thy (pbt:pat list) ags =
  1078 (* val (thy, pbt, ags) = (thy, (#ppc o get_pbt) pI, ags);
  1079    val (thy, pbt, ags) = (thy, pats, ags);
  1080    *)
  1081     let fun flattup (i,(var,bool,str,itm_)) = (i,var,bool,str,itm_);
  1082 	val pbt' = filter_out is_copy_named pbt;
  1083 	val cy = filter is_copy_named pbt;
  1084 	val oris' = matc thy pbt' ags [];
  1085 	val cy' = map (cpy_nam pbt' oris') cy;
  1086 	val ors = add_id (oris' @ cy'); 
  1087     (*appended in order to get ^^^^^ them into the model-items*)
  1088     in (map flattup ors):ori list end;
  1089 (*vars as above ..
  1090 > match_ags thy pbt ags; 
  1091 val it =
  1092   [(1,[1],"#Given",Const ("Descript.equality","bool => Tools.una"),
  1093     [Const # $ (# $ #) $ Free (#,#)]),
  1094    (2,[1],"#Given",Const ("Descript.solveFor","RealDef.real => Tools.una"),
  1095     [Free ("x","RealDef.real")]),
  1096    (3,[1],"#Find",
  1097     Const ("Descript.solutions","bool List.list => Tools.toreall"),
  1098     [Free ("x_i","bool List.list")])] : ori list*)
  1099 
  1100 (*.report part of the error-msg which is not available in match_args.*)
  1101 fun match_ags_msg pI stac ags =
  1102     let val s = !show_types
  1103 	val _ = show_types:= true
  1104 	val pats = (#ppc o get_pbt) pI
  1105 	val msg = (dots 70^"\n"
  1106 		 ^"*** problem "^strs2str pI^" has the ...\n"
  1107 		 ^"*** model-pattern "^pats2str pats^"\n"
  1108 		 ^"*** stac   '"^term2str stac^"' has the ...\n"
  1109 		 ^"*** arg-list "^terms2str ags^"\n"
  1110 		 ^dashs 70)
  1111 	val _ = show_types:= s
  1112     in writeln msg end;
  1113 
  1114 
  1115 (*get the variables out of a pbl_; FIXME.WN.0311: is_copy_named ...obscure!!!*)
  1116 fun vars_of_pbl_ pbl_ = 
  1117     let fun var_of_pbl_ (gfr,(dsc,t)) = t
  1118     in ((map var_of_pbl_) o (filter_out is_copy_named)) pbl_ end;
  1119 fun vars_of_pbl_' pbl_ = 
  1120     let fun var_of_pbl_ (gfr,(dsc,t)) = t:term
  1121     in ((map var_of_pbl_)(* o (filter_out is_copy_named)*)) pbl_ end;
  1122 
  1123 fun overwrite_ppc thy itm ppc =
  1124   let 
  1125     fun repl ppc' (_,_,_,_,itm_) [] =
  1126       raise error ("overwrite_ppc: " ^ (itm_2str_ (thy2ctxt thy) itm_) ^ 
  1127                    " not found")
  1128       | repl ppc' itm (p::ppc) =
  1129 	if (#1 itm) = (#1 (p:itm)) then ppc' @ [itm] @ ppc
  1130 	else repl (ppc' @ [p]) itm ppc
  1131   in repl [] itm ppc end;
  1132 
  1133 (*10.3.00: insert the already compiled itm into model;
  1134    ev. filter_out  untouched (in FE: (0,...)) item related to insert-item *)
  1135 (* val ppc=pbl;
  1136    *)
  1137 fun insert_ppc thy itm ppc =
  1138     let 
  1139 	fun eq_untouched d ((0,_,_,_,itm_):itm) = (d = d_in itm_)
  1140 	  | eq_untouched _ _ = false;
  1141 	    val ppc' = 
  1142 		(
  1143 		 (*writeln("### insert_ppc: itm= "^(itm2str_ itm));*)       
  1144 		 case seek_ppc (#1 itm) ppc of
  1145 		     (* val SOME xxx = seek_ppc (#1 itm) ppc;
  1146 		        *)
  1147 		     SOME _ => (*itm updated in is_notyet_input WN.11.03*)
  1148 		     overwrite_ppc thy itm ppc
  1149 		   | NONE => (ppc @ [itm]));
  1150     in filter_out (eq_untouched ((d_in o #5) itm)) ppc' end;
  1151 
  1152 (*from Isabelle/src/Pure/library.ML, _appends_ a new element*)
  1153 fun gen_ins' eq (x, xs) = if gen_mem eq (x, xs) then xs else xs @ [x];
  1154 
  1155 fun eq_dsc ((_,_,_,_,itm_):itm, (_,_,_,_,iitm_):itm) = 
  1156     (d_in itm_) = (d_in iitm_);
  1157 (*insert_ppc = insert_ppc' for appl_add', input_icalhd 11.03,
  1158     handles superfluous items carelessly*)
  1159 fun insert_ppc' itm itms = gen_ins' eq_dsc (itm, itms);
  1160 (* val eee = op=;
  1161  > gen_ins' eee (4,[1,3,5,7]);
  1162 val it = [1, 3, 5, 7, 4] : int list*)
  1163 
  1164 
  1165 (*. output the headline to a ppc .*)
  1166 fun header p_ pI mI =
  1167     case p_ of Pbl => Problem (if pI = e_pblID then [] else pI) 
  1168 	     | Met => Method mI
  1169 	     | pos => raise error ("header called with "^ pos_2str pos);
  1170 
  1171 
  1172 
  1173 (* test-printouts ---
  1174 val _=writeln("### insert_ppc: (d,ts)="^((Syntax.string_of_term (thy2ctxt thy))(comp_dts thy(d,ts))));
  1175  val _=writeln("### insert_ppc: pts= "^
  1176 (strs2str' o map (Syntax.string_of_term (thy2ctxt thy))) pts);
  1177 
  1178 
  1179  val sel = "#Given"; val Add_Given' ct = m;
  1180 
  1181  val sel = "#Find"; val Add_Find' (ct,_) = m; 
  1182  val (p,_) = p;
  1183  val (_,_,f,nxt',_,pt')= specify_additem sel (ct,[]) (p,Pbl(*!!!!!!!*)) c pt;
  1184 --------------
  1185  val sel = "#Given"; val Add_Given' (ct,_) = nxt; val (p,_) = p;
  1186   *)
  1187 fun specify_additem sel (ct,_) (p,Met) c pt = 
  1188     let
  1189       val (PblObj{meth=met,origin=(oris,(dI',pI',mI'),_),
  1190 		  probl=pbl,spec=(dI,pI,mI),...}) = get_obj I pt p;
  1191       val thy = if dI = e_domID then assoc_thy dI' else assoc_thy dI;
  1192     (*val ppt = if pI = e_pblID then get_pbt pI' else get_pbt pI;*)
  1193       val cpI = if pI = e_pblID then pI' else pI;
  1194       val cmI = if mI = e_metID then mI' else mI;
  1195       val {ppc,pre,prls,...} = get_met cmI
  1196     in case appl_add thy sel oris met ppc ct of
  1197       Add itm (*..union old input *) =>
  1198 	let (* val Add itm = appl_add thy sel oris met (#ppc (get_met cmI)) ct;
  1199                *)
  1200 	  val met' = insert_ppc thy itm met;
  1201 	  (*val pt' = update_met pt p met';*)
  1202 	  val ((p,Met),_,_,pt') = 
  1203 	      generate1 thy (case sel of
  1204 				 "#Given" => Add_Given' (ct, met')
  1205 			       | "#Find"  => Add_Find'  (ct, met')
  1206 			       | "#Relate"=> Add_Relation'(ct, met')) 
  1207 			Uistate (p,Met) pt
  1208 	  val pre' = check_preconds thy prls pre met'
  1209 	  val pb = foldl and_ (true, map fst pre')
  1210 	  (*val _=writeln("@@@ specify_additem: Met Add before nxt_spec")*)
  1211 	  val (p_,nxt) =
  1212 	    nxt_spec Met pb oris (dI',pI',mI') (pbl,met') 
  1213 	    ((#ppc o get_pbt) cpI,ppc) (dI,pI,mI);
  1214 	in ((p,p_), ((p,p_),Uistate),
  1215 	    Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1216 			  (Method cmI, itms2itemppc thy met' pre'))),
  1217 	    nxt,Safe,pt') end
  1218     | Err msg =>
  1219 	  let val pre' = check_preconds thy prls pre met
  1220 	      val pb = foldl and_ (true, map fst pre')
  1221 	    (*val _=writeln("@@@ specify_additem: Met Err before nxt_spec")*)
  1222 	      val (p_,nxt) =
  1223 	    nxt_spec Met pb oris (dI',pI',mI') (pbl,met) 
  1224 	    ((#ppc o get_pbt) cpI,(#ppc o get_met) cmI) (dI,pI,mI);
  1225 	  in ((p,p_), ((p,p_),Uistate), Error' (Error_ msg), nxt, Safe,pt) end
  1226     end
  1227 (* val (p,_) = p;
  1228    *)
  1229 | specify_additem sel (ct,_) (p,_(*Frm, Pbl*)) c pt = 
  1230     let
  1231       val (PblObj{meth=met,origin=(oris,(dI',pI',mI'),_),
  1232 		  probl=pbl,spec=(dI,pI,mI),...}) = get_obj I pt p;
  1233       val thy = if dI = e_domID then assoc_thy dI' else assoc_thy dI;
  1234       val cpI = if pI = e_pblID then pI' else pI;
  1235       val cmI = if mI = e_metID then mI' else mI;
  1236       val {ppc,where_,prls,...} = get_pbt cpI;
  1237     in case appl_add thy sel oris pbl ppc ct of
  1238       Add itm (*..union old input *) =>
  1239       (* val Add itm = appl_add thy sel oris pbl ppc ct;
  1240          *)
  1241 	let
  1242 	    (*val _= writeln("###specify_additem: itm= "^(itm2str_ itm));*)
  1243 	  val pbl' = insert_ppc thy itm pbl
  1244 	  val ((p,Pbl),_,_,pt') = 
  1245 	      generate1 thy (case sel of
  1246 				 "#Given" => Add_Given' (ct, pbl')
  1247 			       | "#Find"  => Add_Find'  (ct, pbl')
  1248 			       | "#Relate"=> Add_Relation'(ct, pbl')) 
  1249 			Uistate (p,Pbl) pt
  1250 	  val pre = check_preconds thy prls where_ pbl'
  1251 	  val pb = foldl and_ (true, map fst pre)
  1252 	(*val _=writeln("@@@ specify_additem: Pbl Add before nxt_spec")*)
  1253 	  val (p_,nxt) =
  1254 	    nxt_spec Pbl pb oris (dI',pI',mI') (pbl',met) 
  1255 		     (ppc,(#ppc o get_met) cmI) (dI,pI,mI);
  1256 	  val ppc = if p_= Pbl then pbl' else met;
  1257 	in ((p,p_), ((p,p_),Uistate),
  1258 	    Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1259 			  (header p_ pI cmI,
  1260 			   itms2itemppc thy ppc pre))), nxt,Safe,pt') end
  1261 
  1262     | Err msg =>
  1263 	  let val pre = check_preconds thy prls where_ pbl
  1264 	      val pb = foldl and_ (true, map fst pre)
  1265 	    (*val _=writeln("@@@ specify_additem: Pbl Err before nxt_spec")*)
  1266 	      val (p_,nxt) =
  1267 	    nxt_spec Pbl pb oris (dI',pI',mI') (pbl,met) 
  1268 	    (ppc,(#ppc o get_met) cmI) (dI,pI,mI);
  1269 	  in ((p,p_), ((p,p_),Uistate), Error' (Error_ msg), nxt, Safe,pt) end
  1270     end;
  1271 (* val sel = "#Find"; val (p,_) = p; val Add_Find' ct = nxt;
  1272    val (_,_,f,nxt',_,pt')= specify_additem sel ct (p,Met) c pt;
  1273   *)
  1274 
  1275 (* ori
  1276 val (msg,itm) = appl_add thy sel oris ppc ct;
  1277 val (Cor(d,ts)) = #5 itm;
  1278 map (atomty) ts;
  1279 
  1280 pre
  1281 *)
  1282 
  1283 
  1284 (* val Init_Proof' (fmz,(dI',pI',mI')) = m;
  1285    specify (Init_Proof' (fmz,(dI',pI',mI'))) e_pos' [] EmptyPtree;
  1286    *)
  1287 fun specify (Init_Proof' (fmz,(dI',pI',mI'))) (_:pos') (_:cid) (_:ptree)= 
  1288   let          (* either """"""""""""""" all empty or complete *)
  1289     val thy = assoc_thy dI';
  1290     val oris = if dI' = e_domID orelse pI' = e_pblID then ([]:ori list)
  1291 	       else prep_ori fmz thy ((#ppc o get_pbt) pI');
  1292     val (pt,c) = cappend_problem e_ptree [] e_istate (fmz,(dI',pI',mI'))
  1293 				 (oris,(dI',pI',mI'),e_term);
  1294     val {ppc,prls,where_,...} = get_pbt pI'
  1295     (*val pbl = init_pbl ppc;  WN.9.03: done in Model/Refine_Problem
  1296     val pt = update_pbl pt [] pbl;
  1297     val pre = check_preconds thy prls where_ pbl
  1298     val pb = foldl and_ (true, map fst pre)*)
  1299     val (pbl, pre, pb) = ([], [], false)
  1300   in case mI' of
  1301 	 ["no_met"] => 
  1302 	 (([],Pbl), (([],Pbl),Uistate),
  1303 	  Form' (PpcKF (0,EdUndef,(length []),Nundef,
  1304 			(Problem [], itms2itemppc (assoc_thy dI') pbl pre))),
  1305 	  Refine_Tacitly pI', Safe,pt)
  1306        | _ => 
  1307 	 (([],Pbl), (([],Pbl),Uistate),
  1308 	  Form' (PpcKF (0,EdUndef,(length []),Nundef,
  1309 			(Problem [], itms2itemppc (assoc_thy dI') pbl pre))),
  1310 	  Model_Problem,
  1311 	  Safe,pt)
  1312   end
  1313   (*ONLY for STARTING modeling phase*)
  1314   | specify (Model_Problem' (_,pbl,met)) (pos as (p,p_)) c pt =
  1315   let (* val (Model_Problem' (_,pbl), pos as (p,p_)) = (m, (p,p_));
  1316          *)
  1317     val (PblObj{origin=(oris,(dI',pI',mI'),_), spec=(dI,_,_),...}) = 
  1318 	get_obj I pt p
  1319     val thy' = if dI = e_domID then dI' else dI
  1320     val thy = assoc_thy thy'
  1321     val {ppc,prls,where_,...} = get_pbt pI'
  1322     val pre = check_preconds thy prls where_ pbl
  1323     val pb = foldl and_ (true, map fst pre)
  1324     val ((p,_),_,_,pt) = 
  1325 	generate1 thy (Model_Problem'([],pbl,met)) Uistate pos pt
  1326     val (_,nxt) = nxt_spec Pbl pb oris (dI',pI',mI') (pbl,met) 
  1327 		(ppc,(#ppc o get_met) mI') (dI',pI',mI');
  1328   in ((p,Pbl), ((p,p_),Uistate),
  1329       Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1330 		    (Problem pI', itms2itemppc (assoc_thy dI') pbl pre))),
  1331       nxt, Safe, pt) end
  1332 
  1333 (*. called only if no_met is specified .*)     
  1334   | specify (Refine_Tacitly' (pI,pIre,_,_,_)) (pos as (p,_)) c pt =
  1335   let (* val Refine_Tacitly' (pI,pIre,_,_,_) = m;
  1336          *)
  1337     val (PblObj{origin=(oris,(dI',pI',mI'),_), meth=met, ...}) = 
  1338 	get_obj I pt p;
  1339     val {prls,met,ppc,thy,where_,...} = get_pbt pIre
  1340     (*val pbl = init_pbl ppc --- Model_Problem recognizes probl=[]*)
  1341     (*val pt = update_pbl pt p pbl;
  1342     val pt = update_orispec pt p 
  1343 		(string_of_thy thy, pIre, 
  1344 		 if length met = 0 then e_metID else hd met);*)
  1345     val (domID, metID) = (string_of_thy thy, 
  1346 		      if length met = 0 then e_metID else hd met)
  1347     val ((p,_),_,_,pt) = 
  1348 	generate1 thy (Refine_Tacitly'(pI,pIre,domID,metID,(*pbl*)[])) 
  1349 		  Uistate pos pt
  1350     (*val pre = check_preconds thy prls where_ pbl
  1351     val pb = foldl and_ (true, map fst pre)*)
  1352     val (pbl, pre, pb) = ([], [], false)
  1353   in ((p,Pbl), (pos,Uistate),
  1354       Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1355 		    (Problem pIre, itms2itemppc (assoc_thy dI') pbl pre))),
  1356       Model_Problem, Safe, pt) end
  1357 
  1358   | specify (Refine_Problem' (rfd as (pI,_))) pos c pt =
  1359     let val (pos,_,_,pt) = generate1 (assoc_thy "Isac.thy") 
  1360 				     (Refine_Problem' rfd) Uistate pos pt
  1361     in (pos(*p,Pbl*), (pos(*p,Pbl*),Uistate), Problems (RefinedKF rfd), 
  1362 	Model_Problem, Safe, pt) end
  1363 
  1364 (* val (Specify_Problem' (pI, (ok, (itms, pre)))) = nxt; val (p,_) = p;
  1365    val (Specify_Problem' (pI, (ok, (itms, pre)))) = m; val (p,_) = p;
  1366    *)
  1367   | specify (Specify_Problem' (pI, (ok, (itms, pre)))) (pos as (p,_)) c pt =
  1368   let val (PblObj {origin=(oris,(dI',pI',mI'),_), spec=(dI,_,mI), 
  1369 		   meth=met, ...}) = get_obj I pt p;
  1370     (*val pt = update_pbl pt p itms;
  1371     val pt = update_pblID pt p pI;*)
  1372     val thy = assoc_thy dI
  1373     val ((p,Pbl),_,_,pt)= 
  1374 	generate1 thy (Specify_Problem' (pI, (ok, (itms, pre)))) Uistate pos pt
  1375     val dI'' = assoc_thy (if dI=e_domID then dI' else dI);
  1376     val mI'' = if mI=e_metID then mI' else mI;
  1377   (*val _=writeln("@@@ specify (Specify_Problem) before nxt_spec")*)
  1378     val (_,nxt) = nxt_spec Pbl ok oris (dI',pI',mI') (itms, met) 
  1379 		((#ppc o get_pbt) pI,(#ppc o get_met) mI'') (dI,pI,mI);
  1380   in ((p,Pbl), (pos,Uistate),
  1381       Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1382 		    (Problem pI, itms2itemppc dI'' itms pre))),
  1383       nxt, Safe, pt) end    
  1384 (* val Specify_Method' mID = nxt; val (p,_) = p;
  1385    val Specify_Method' mID = m;
  1386    specify (Specify_Method' mID) (p,p_) c pt;
  1387    *)
  1388   | specify (Specify_Method' (mID,_,_)) (pos as (p,_)) c pt =
  1389   let val (PblObj {origin=(oris,(dI',pI',mI'),_), probl=pbl, spec=(dI,pI,mI), 
  1390 		   meth=met, ...}) = get_obj I pt p;
  1391     val {ppc,pre,prls,...} = get_met mID
  1392     val thy = assoc_thy dI
  1393     val oris = add_field' thy ppc oris;
  1394     (*val pt = update_oris pt p oris; 20.3.02: repl. "#undef"*)
  1395     val dI'' = if dI=e_domID then dI' else dI;
  1396     val pI'' = if pI = e_pblID then pI' else pI;
  1397     val met = if met=[] then pbl else met;
  1398     val (ok, (itms, pre')) = match_itms_oris thy met (ppc,pre,prls ) oris;
  1399     (*val pt = update_met pt p itms;
  1400     val pt = update_metID pt p mID*)
  1401     val (pos,_,_,pt)= 
  1402 	generate1 thy (Specify_Method' (mID, oris, itms)) Uistate pos pt
  1403     (*val _=writeln("@@@ specify (Specify_Method) before nxt_spec")*)
  1404     val (_,nxt) = nxt_spec Met (*ok*)true oris (dI',pI',mI') (pbl, itms) 
  1405 		((#ppc o get_pbt) pI'',ppc) (dI'',pI'',mID);
  1406   in (pos, (pos,Uistate),
  1407       Form' (PpcKF (0,EdUndef,(length p),Nundef,
  1408 		    (Method mID, itms2itemppc (assoc_thy dI'') itms pre'))),
  1409       nxt, Safe, pt) end    
  1410 (* val Add_Find' ct = nxt; val sel = "#Find"; 
  1411    *)
  1412   | specify (Add_Given' ct) p c pt = specify_additem "#Given" ct p c pt
  1413   | specify (Add_Find'  ct) p c pt = specify_additem "#Find"  ct p c pt
  1414   | specify (Add_Relation' ct) p c pt=specify_additem"#Relate"ct p c pt
  1415 (* val Specify_Theory' domID = m;
  1416    val (Specify_Theory' domID, (p,p_)) = (m, pos);
  1417    *)
  1418   | specify (Specify_Theory' domID) (pos as (p,p_)) c pt =
  1419     let val p_ = case p_ of Met => Met | _ => Pbl
  1420       val thy = assoc_thy domID;
  1421       val (PblObj{origin=(oris,(dI',pI',mI'),_), meth=met,
  1422 		  probl=pbl, spec=(dI,pI,mI),...}) = get_obj I pt p;
  1423       val mppc = case p_ of Met => met | _ => pbl;
  1424       val cpI = if pI = e_pblID then pI' else pI;
  1425       val {prls=per,ppc,where_=pwh,...} = get_pbt cpI
  1426       val cmI = if mI = e_metID then mI' else mI;
  1427       val {prls=mer,ppc=mpc,pre=mwh,...} = get_met cmI
  1428       val pre = 
  1429 	  case p_ of
  1430 	      Met => (check_preconds thy mer mwh met)
  1431 	    | _ => (check_preconds thy per pwh pbl)
  1432       val pb = foldl and_ (true, map fst pre)
  1433     in if domID = dI
  1434        then let 
  1435 	 (*val _=writeln("@@@ specify (Specify_Theory) THEN before nxt_spec")*)
  1436            val (p_,nxt) = nxt_spec p_ pb oris (dI',pI',mI') 
  1437 				   (pbl,met) (ppc,mpc) (dI,pI,mI);
  1438 	      in ((p,p_), (pos,Uistate), 
  1439 		  Form'(PpcKF (0,EdUndef,(length p), Nundef,
  1440 			       (header p_ pI cmI, itms2itemppc thy mppc pre))),
  1441 		  nxt,Safe,pt) end
  1442        else (*FIXME: check ppc wrt. (new!) domID ..? still parsable?*)
  1443 	 let 
  1444 	   (*val pt = update_domID pt p domID;11.8.03*)
  1445 	   val ((p,p_),_,_,pt) = generate1 thy (Specify_Theory' domID) 
  1446 					   Uistate (p,p_) pt
  1447 	 (*val _=writeln("@@@ specify (Specify_Theory) ELSE before nxt_spec")*)
  1448 	   val (p_,nxt) = nxt_spec p_ pb oris (dI',pI',mI') (pbl,met) 
  1449 				   (ppc,mpc) (domID,pI,mI);
  1450 	 in ((p,p_), (pos,Uistate), 
  1451 	     Form' (PpcKF (0, EdUndef, (length p),Nundef,
  1452 			   (header p_ pI cmI, itms2itemppc thy mppc pre))),
  1453 	     nxt, Safe,pt) end
  1454     end
  1455 (* itms2itemppc thy [](*mpc*) pre
  1456    *)
  1457   | specify m' _ _ _ = 
  1458     raise error ("specify: not impl. for "^tac_2str m');
  1459 
  1460 (* val (sel, Add_Given ct, ptp as (pt,(p,Pbl))) = ("#Given", tac, ptp);
  1461    val (sel, Add_Find  ct, ptp as (pt,(p,Pbl))) = ("#Find", tac, ptp);
  1462    *)
  1463 fun nxt_specif_additem sel ct (ptp as (pt,(p,Pbl))) = 
  1464     let
  1465       val (PblObj{meth=met,origin=(oris,(dI',pI',_),_),
  1466 		  probl=pbl,spec=(dI,pI,_),...}) = get_obj I pt p;
  1467       val thy = if dI = e_domID then assoc_thy dI' else assoc_thy dI;
  1468       val cpI = if pI = e_pblID then pI' else pI;
  1469     in case appl_add thy sel oris pbl ((#ppc o get_pbt) cpI) ct of
  1470 	   Add itm (*..union old input *) =>
  1471 (* val Add itm = appl_add thy sel oris pbl ppc ct;
  1472    *)
  1473 	   let
  1474 	       (*val _=writeln("###nxt_specif_additem: itm= "^(itm2str_ itm));*)
  1475 	       val pbl' = insert_ppc thy itm pbl
  1476 	       val (tac,tac_) = 
  1477 		   case sel of
  1478 		       "#Given" => (Add_Given    ct, Add_Given'   (ct, pbl'))
  1479 		     | "#Find"  => (Add_Find     ct, Add_Find'    (ct, pbl'))
  1480 		     | "#Relate"=> (Add_Relation ct, Add_Relation'(ct, pbl'))
  1481 	       val ((p,Pbl),c,_,pt') = 
  1482 		   generate1 thy tac_ Uistate (p,Pbl) pt
  1483 	   in ([(tac,tac_,((p,Pbl),Uistate))], c, (pt',(p,Pbl))):calcstate' end
  1484 	       
  1485 	 | Err msg => 
  1486 	   (*TODO.WN03 pass error-msgs to the frontend..
  1487              FIXME ..and dont abuse a tactic for that purpose*)
  1488 	   ([(Tac msg,
  1489 	      Tac_ (theory "Pure", msg,msg,msg),
  1490 	      (e_pos', e_istate))], [], ptp) 
  1491     end
  1492 
  1493 (* val sel = "#Find"; val (p,_) = p; val Add_Find' ct = nxt;
  1494    val (_,_,f,nxt',_,pt')= nxt_specif_additem sel ct (p,Met) c pt;
  1495   *)
  1496   | nxt_specif_additem sel ct (ptp as (pt,(p,Met))) = 
  1497     let
  1498       val (PblObj{meth=met,origin=(oris,(dI',pI',mI'),_),
  1499 		  probl=pbl,spec=(dI,pI,mI),...}) = get_obj I pt p;
  1500       val thy = if dI = e_domID then assoc_thy dI' else assoc_thy dI;
  1501       val cmI = if mI = e_metID then mI' else mI;
  1502     in case appl_add thy sel oris met ((#ppc o get_met) cmI) ct of
  1503       Add itm (*..union old input *) =>
  1504 	let (* val Add itm = appl_add thy sel oris met (#ppc (get_met cmI)) ct;
  1505                *)
  1506 	  val met' = insert_ppc thy itm met;
  1507 	  val (tac,tac_) = 
  1508 	      case sel of
  1509 		  "#Given" => (Add_Given    ct, Add_Given'   (ct, met'))
  1510 		| "#Find"  => (Add_Find     ct, Add_Find'    (ct, met'))
  1511 		| "#Relate"=> (Add_Relation ct, Add_Relation'(ct, met'))
  1512 	  val ((p,Met),c,_,pt') = 
  1513 	      generate1 thy tac_ Uistate (p,Met) pt
  1514 	in ([(tac,tac_,((p,Met), Uistate))], c, (pt',(p,Met))) end
  1515 
  1516     | Err msg => ([(*tacis*)], [], ptp) 
  1517     (*nxt_me collects tacis until not hide; here just no progress*)
  1518     end;
  1519 
  1520 (* ori
  1521 val (msg,itm) = appl_add thy sel oris ppc ct;
  1522 val (Cor(d,ts)) = #5 itm;
  1523 map (atomty) ts;
  1524 
  1525 pre
  1526 *)
  1527 fun ori2Coritm pbt ((i,v,f,d,ts):ori) =
  1528     (i,v,true,f, Cor ((d,ts),(((snd o snd o the o (find_first (eq1 d))) pbt) 
  1529 			      handle _ => raise error ("ori2Coritm: dsc "^
  1530 						term2str d^
  1531 						"in ori, but not in pbt")
  1532 			      ,ts))):itm;
  1533 fun ori2Coritm (pbt:pat list) ((i,v,f,d,ts):ori) =
  1534     ((i,v,true,f, Cor ((d,ts),((snd o snd o the o 
  1535 			       (find_first (eq1 d))) pbt,ts))):itm)
  1536     handle _ => (*dsc in oris, but not in pbl pat list: keep this dsc*)
  1537     ((i,v,true,f, Cor ((d,ts),(d,ts))):itm);
  1538 
  1539 
  1540 (*filter out oris which have same description in itms*)
  1541 fun filter_outs oris [] = oris
  1542   | filter_outs oris (i::itms) = 
  1543     let val ors = filter_out ((curry op= ((d_in o #5) (i:itm))) o 
  1544 			      (#4:ori -> term)) oris;
  1545     in filter_outs ors itms end;
  1546 
  1547 fun memI a b = member op = a b;
  1548 (*filter oris which are in pbt, too*)
  1549 fun filter_pbt oris pbt =
  1550     let val dscs = map (fst o snd) pbt
  1551     in filter ((memI dscs) o (#4: ori -> term)) oris end;
  1552 
  1553 (*.combine itms from pbl + met and complete them wrt. pbt.*)
  1554 (*FIXXXME.WN031205 complete_metitms doesnt handle incorrect itms !*)
  1555 local infix mem;
  1556 fun x mem [] = false
  1557   | x mem (y :: ys) = x = y orelse x mem ys;
  1558 in 
  1559 fun complete_metitms (oris:ori list) (pits:itm list) (mits:itm list) met = 
  1560 (* val met = (#ppc o get_met) ["DiffApp","max_by_calculus"];
  1561    *)
  1562     let val vat = max_vt pits;
  1563         val itms = pits @ 
  1564 		   (filter ((curry (op mem) vat) o (#2:itm -> int list)) mits);
  1565 	val ors = filter ((curry (op mem) vat) o (#2:ori -> int list)) oris;
  1566         val os = filter_outs ors itms;
  1567     (*WN.12.03?: does _NOT_ add itms from met ?!*)
  1568     in itms @ (map (ori2Coritm met) os) end
  1569 end;
  1570 
  1571 
  1572 
  1573 (*.complete model and guard of a calc-head .*)
  1574 local infix mem;
  1575 fun x mem [] = false
  1576   | x mem (y :: ys) = x = y orelse x mem ys;
  1577 in 
  1578 fun complete_mod_ (oris, mpc, ppc, probl) =
  1579     let	val pits = filter_out ((curry op= false) o (#3: itm -> bool)) probl
  1580 	val vat = if probl = [] then 1 else max_vt probl
  1581 	val pors = filter ((curry (op mem) vat) o (#2:ori -> int list)) oris
  1582 	val pors = filter_outs pors pits (*which are in pbl already*)
  1583         val pors = (filter_pbt pors ppc) (*which are in pbt, too*)
  1584 
  1585 	val pits = pits @ (map (ori2Coritm ppc) pors)
  1586 	val mits = complete_metitms oris pits [] mpc
  1587     in (pits, mits) end
  1588 end;
  1589 
  1590 fun some_spec ((odI, opI, omI):spec) ((dI, pI, mI):spec) =
  1591     (if dI = e_domID then odI else dI,
  1592      if pI = e_pblID then opI else pI,
  1593      if mI = e_metID then omI else mI):spec;
  1594 
  1595 
  1596 (*.find a next applicable tac (for calcstate) and update ptree
  1597  (for ev. finding several more tacs due to hide).*)
  1598 (*FIXXXME: unify ... fun nxt_specif = nxt_spec + applicable_in + specify !!*)
  1599 (*WN.24.10.03        ~~~~~~~~~~~~~~   -> tac     -> tac_      -> -"- as arg*)
  1600 (*WN.24.10.03        fun nxt_solv   = ...................................??*)
  1601 fun nxt_specif (tac as Model_Problem) (pt, pos as (p,p_)) =
  1602   let
  1603     val (PblObj{origin=(oris,ospec,_),probl,spec,...}) = get_obj I pt p
  1604     val (dI,pI,mI) = some_spec ospec spec
  1605     val thy = assoc_thy dI
  1606     val mpc = (#ppc o get_met) mI (*just for reuse complete_mod_*)
  1607     val {cas,ppc,...} = get_pbt pI
  1608     val pbl = init_pbl ppc (*fill in descriptions*)
  1609     (*--------------if you think, this should be done by the Dialog 
  1610      in the java front-end, search there for WN060225-modelProblem----*)
  1611     val (pbl,met) = case cas of NONE => (pbl,[])
  1612 			    | _ => complete_mod_ (oris, mpc, ppc, probl)
  1613     (*----------------------------------------------------------------*)
  1614     val tac_ = Model_Problem' (pI, pbl, met)
  1615     val (pos,c,_,pt) = generate1 thy tac_ Uistate pos pt
  1616   in ([(tac,tac_, (pos, Uistate))], c, (pt,pos)):calcstate' end
  1617 
  1618 (* val Add_Find ct = tac;
  1619    *)
  1620   | nxt_specif (Add_Given ct) ptp = nxt_specif_additem "#Given" ct ptp
  1621   | nxt_specif (Add_Find  ct) ptp = nxt_specif_additem "#Find"  ct ptp
  1622   | nxt_specif (Add_Relation ct) ptp = nxt_specif_additem"#Relate" ct ptp
  1623 
  1624 (*. called only if no_met is specified .*)     
  1625   | nxt_specif (Refine_Tacitly pI) (ptp as (pt, pos as (p,_))) =
  1626     let val (PblObj {origin = (oris, (dI,_,_),_), ...}) = get_obj I pt p
  1627 	val opt = refine_ori oris pI
  1628     in case opt of
  1629 	   SOME pI' => 
  1630 	   let val {met,ppc,...} = get_pbt pI'
  1631 	       val pbl = init_pbl ppc
  1632 	       (*val pt = update_pbl pt p pbl ..done by Model_Problem*)
  1633 	       val mI = if length met = 0 then e_metID else hd met
  1634                val thy = assoc_thy dI
  1635 	       val (pos,c,_,pt) = 
  1636 		   generate1 thy (Refine_Tacitly' (pI,pI',dI,mI,(*pbl*)[])) 
  1637 			     Uistate pos pt
  1638 	   in ([(Refine_Tacitly pI, Refine_Tacitly' (pI,pI',dI,mI,(*pbl*)[]),
  1639 		 (pos, Uistate))], c, (pt,pos)) end
  1640 	 | NONE => ([], [], ptp)
  1641     end
  1642 
  1643   | nxt_specif (Refine_Problem pI) (ptp as (pt, pos as (p,_))) =
  1644     let val (PblObj {origin=(_,(dI,_,_),_),spec=(dI',_,_),
  1645 		     probl, ...}) = get_obj I pt p
  1646 	val thy = if dI' = e_domID then dI else dI'
  1647     in case refine_pbl (assoc_thy thy) pI probl of
  1648 	   NONE => ([], [], ptp)
  1649 	 | SOME (rfd as (pI',_)) => 
  1650 	   let val (pos,c,_,pt) = 
  1651 		   generate1 (assoc_thy thy) 
  1652 			     (Refine_Problem' rfd) Uistate pos pt
  1653 	    in ([(Refine_Problem pI, Refine_Problem' rfd,
  1654 			    (pos, Uistate))], c, (pt,pos)) end
  1655     end
  1656 
  1657   | nxt_specif (Specify_Problem pI) (pt, pos as (p,_)) =
  1658     let val (PblObj {origin=(oris,(dI,_,_),_),spec=(dI',pI',_),
  1659 		     probl, ...}) = get_obj I pt p;
  1660 	val thy = assoc_thy (if dI' = e_domID then dI else dI');
  1661         val {ppc,where_,prls,...} = get_pbt pI
  1662 	val pbl as (_,(itms,_)) = 
  1663 	    if pI'=e_pblID andalso pI=e_pblID
  1664 	    then (false, (init_pbl ppc, []))
  1665 	    else match_itms_oris thy probl (ppc,where_,prls) oris(*FIXXXXXME?*)
  1666 	(*FIXXXME~~~~~~~~~~~~~~~: take pbl and compare with new pI WN.8.03*)
  1667 	val ((p,Pbl),c,_,pt)= 
  1668 	    generate1 thy (Specify_Problem' (pI, pbl)) Uistate pos pt
  1669     in ([(Specify_Problem pI, Specify_Problem' (pI, pbl),
  1670 		    (pos,Uistate))], c, (pt,pos)) end
  1671 
  1672   (*transfers oris (not required in pbl) to met-model for script-env
  1673     FIXME.WN.8.03: application of several mIDs to SAME model?*)
  1674   | nxt_specif (Specify_Method mID) (ptp as (pt, pos as (p,_))) = 
  1675   let val (PblObj {origin=(oris,(dI',pI',mI'),_), probl=pbl, spec=(dI,pI,mI), 
  1676 		   meth=met, ...}) = get_obj I pt p;
  1677     val {ppc,pre,prls,...} = get_met mID
  1678     val thy = assoc_thy dI
  1679     val oris = add_field' thy ppc oris;
  1680     val dI'' = if dI=e_domID then dI' else dI;
  1681     val pI'' = if pI = e_pblID then pI' else pI;
  1682     val met = if met=[] then pbl else met;(*WN0602 what if more itms in met?*)
  1683     val (ok, (itms, pre')) = match_itms_oris thy met (ppc,pre,prls ) oris;
  1684     val (pos,c,_,pt)= 
  1685 	generate1 thy (Specify_Method' (mID, oris, itms)) Uistate pos pt
  1686   in ([(Specify_Method mID, Specify_Method' (mID, oris, itms),
  1687 		  (pos,Uistate))], c, (pt,pos)) end    
  1688 
  1689   | nxt_specif (Specify_Theory dI) (pt, pos as (p,Pbl)) =
  1690     let val (dI',_,_) = get_obj g_spec pt p
  1691 	val (pos,c,_,pt) = 
  1692 	    generate1 (assoc_thy "Isac.thy") (Specify_Theory' dI) 
  1693 		      Uistate pos pt
  1694     in  (*FIXXXME: check if pbl can still be parsed*)
  1695 	([(Specify_Theory dI, Specify_Theory' dI, (pos,Uistate))], c,
  1696 	 (pt, pos)) end
  1697 
  1698   | nxt_specif (Specify_Theory dI) (pt, pos as (p,Met)) =
  1699     let val (dI',_,_) = get_obj g_spec pt p
  1700 	val (pos,c,_,pt) = 
  1701 	    generate1 (assoc_thy "Isac.thy") (Specify_Theory' dI) 
  1702 		      Uistate pos pt
  1703     in  (*FIXXXME: check if met can still be parsed*)
  1704 	([(Specify_Theory dI, Specify_Theory' dI, (pos,Uistate))], c,
  1705 	 (pt, pos)) end
  1706 
  1707   | nxt_specif m' _ = 
  1708     raise error ("nxt_specif: not impl. for "^tac2str m');
  1709 
  1710 (*.get the values from oris; handle the term list w.r.t. penv.*)
  1711 
  1712 local infix mem;
  1713 fun x mem [] = false
  1714   | x mem (y :: ys) = x = y orelse x mem ys;
  1715 in 
  1716 fun vals_of_oris oris =
  1717     ((map (mkval' o (#5:ori -> term list))) o 
  1718      (filter ((curry (op mem) 1) o (#2:ori -> int list)))) oris
  1719 end;
  1720 
  1721 
  1722 
  1723 (*.create a calc-tree with oris via an cas.refined pbl.*)
  1724 fun nxt_specify_init_calc (([],(dI,pI,mI)): fmz) =
  1725 (* val ([],(dI,pI,mI)) = (fmz, sp);
  1726    *)
  1727     if pI <> [] then (*comes from pbl-browser*)
  1728 	let val {cas,met,ppc,thy,...} = get_pbt pI
  1729 	    val dI = if dI = "" then theory2theory' thy else dI
  1730 	    val thy = assoc_thy dI
  1731 	    val mI = if mI = [] then hd met else mI
  1732 	    val hdl = case cas of NONE => pblterm dI pI | SOME t => t
  1733 	    val (pt,_) = cappend_problem e_ptree [] e_istate ([], (dI,pI,mI))
  1734 					 ([], (dI,pI,mI), hdl)
  1735 	    val pt = update_spec pt [] (dI,pI,mI)
  1736 	    val pits = init_pbl' ppc
  1737 	    val pt = update_pbl pt [] pits
  1738 	in ((pt,([],Pbl)), []): calcstate end
  1739     else if mI <> [] then (*comes from met-browser*)
  1740 	let val {ppc,...} = get_met mI
  1741 	    val dI = if dI = "" then "Isac.thy" else dI
  1742 	    val thy = assoc_thy dI
  1743 	    val (pt,_) = cappend_problem e_ptree [] e_istate ([], (dI,pI,mI))
  1744 					 ([], (dI,pI,mI), e_term(*FIXME met*))
  1745 	    val pt = update_spec pt [] (dI,pI,mI)
  1746 	    val mits = init_pbl' ppc
  1747 	    val pt = update_met pt [] mits
  1748 	in ((pt,([],Met)), []) end
  1749     else (*completely new example*)
  1750 	let val (pt,_) = cappend_problem e_ptree [] e_istate ([], e_spec)
  1751 					 ([], e_spec, e_term)
  1752 	in ((pt,([],Pbl)), []) end
  1753 (* val (fmz, (dI,pI,mI)) = (fmz, sp);
  1754    *)
  1755   | nxt_specify_init_calc (fmz:fmz_,(dI,pI,mI):spec) = 
  1756     let            (* either """"""""""""""" all empty or complete *)
  1757 	val thy = assoc_thy dI
  1758 	val (pI, pors, mI) = 
  1759 	    if mI = ["no_met"] 
  1760 	    then let val pors = prep_ori fmz thy ((#ppc o get_pbt) pI)
  1761 		     val pI' = refine_ori' pors pI;
  1762 		 in (pI', pors (*refinement over models with diff.prec only*), 
  1763 		     (hd o #met o get_pbt) pI') end
  1764 	    else (pI, prep_ori fmz thy ((#ppc o get_pbt) pI), mI)
  1765 	val {cas,ppc,thy=thy',...} = get_pbt pI (*take dI from _refined_ pbl*)
  1766 	val dI = theory2theory' (maxthy thy thy');
  1767 	val hdl = case cas of
  1768 		      NONE => pblterm dI pI
  1769 		    | SOME t => subst_atomic ((vars_of_pbl_' ppc) 
  1770 						  ~~~ vals_of_oris pors) t
  1771     val (pt,_) = cappend_problem e_ptree [] e_istate (fmz,(dI,pI,mI))
  1772 				 (pors,(dI,pI,mI),hdl)
  1773     (*val pbl = init_pbl ppc  WN.9.03: done by Model/Refine_Problem
  1774     val pt = update_pbl pt [] pbl*)
  1775   in ((pt,([],Pbl)), fst3 (nxt_specif Model_Problem (pt, ([],Pbl))))
  1776   end;
  1777 
  1778 
  1779 
  1780 (*18.12.99*)
  1781 fun get_spec_form (m:tac_) ((p,p_):pos') (pt:ptree) = 
  1782 (*  case appl_spec p pt m of           /// 19.1.00
  1783     Notappl e => Error' (Error_ e)
  1784   | Appl => 
  1785 *)    let val (_,_,f,_,_,_) = specify m (p,p_) [] pt
  1786       in f end;
  1787 
  1788 
  1789 (*fun tag_form thy (formal, given) = cterm_of thy
  1790 	      (((head_of o term_of) given) $ (term_of formal)); WN100819*)
  1791 fun tag_form thy (formal, given) =
  1792     (let val gf = (head_of given) $ formal;
  1793          val _ = cterm_of thy gf
  1794      in gf end)
  1795     handle _ => raise error ("calchead.tag_form: " ^ 
  1796                              Syntax.string_of_term (thy2ctxt thy) given ^
  1797                              " .. " ^
  1798                              Syntax.string_of_term (thy2ctxt thy) formal ^
  1799                          " ..types do not match");
  1800 (* val formal = (the o (parse thy)) "[R::real]";
  1801 > val given = (the o (parse thy)) "fixed_values (cs::real list)";
  1802 > tag_form thy (formal, given);
  1803 val it = "fixed_values [R]" : cterm
  1804 *)
  1805 fun chktyp thy (n, fs, gs) = 
  1806   ((writeln o (Syntax.string_of_term (thy2ctxt thy)) o (nth n)) fs;
  1807    (writeln o (Syntax.string_of_term (thy2ctxt thy)) o (nth n)) gs;
  1808    tag_form thy (nth n fs, nth n gs));
  1809 
  1810 fun chktyps thy (fs, gs) = map (tag_form thy) (fs ~~ gs);
  1811 
  1812 (* #####################################################
  1813    find the failing item:
  1814 > val n = 2;
  1815 > val tag__form = chktyp (n,formals,givens);
  1816 > (type_of o term_of o (nth n)) formals; 
  1817 > (type_of o term_of o (nth n)) givens;
  1818 > atomty ((term_of o (nth n)) formals);
  1819 > atomty ((term_of o (nth n)) givens);
  1820 > atomty (term_of tag__form);
  1821 > use_thy"isa-98-1-HOL-plus/knowl-base/DiffAppl";
  1822  ##################################################### *)
  1823 
  1824 (* #####################################################
  1825    testdata setup
  1826 val origin = ["sqrt(9+4*x)=sqrt x + sqrt(5+x)","x::rat","(+0)"];
  1827 val formals = map (the o (parse thy)) origin;
  1828 
  1829 val given  = ["equation (lhs=rhs)",
  1830 	     "bound_variable bdv",   (* TODO type *) 
  1831 	     "error_bound apx"];
  1832 val where_ = ["e is_root_equation_in bdv",
  1833 	      "bdv is_var",
  1834 	      "apx is_const_expr"];
  1835 val find   = ["L::rat set"];
  1836 val with_  = ["L = {bdv. || ((%x. lhs) bdv) - ((%x. rhs) bdv) || < apx}"];
  1837 val chkpbl = map (the o (parse thy)) (given @ where_ @ find @ with_);
  1838 val givens = map (the o (parse thy)) given;
  1839 
  1840 val tag__forms = chktyps (formals, givens);
  1841 map ((atomty) o term_of) tag__forms;
  1842  ##################################################### *)
  1843 
  1844 
  1845 (* check pbltypes, announces one failure a time *)
  1846 (*fun chk_vars ctppc = 
  1847   let val {Given=gi,Where=wh,Find=fi,With=wi,Relate=re} = 
  1848     appc flat (mappc (vars o term_of) ctppc)
  1849   in if (wh\\gi) <> [] then ("wh\\gi",wh\\gi)
  1850      else if (re\\(gi union fi)) <> [] 
  1851 	    then ("re\\(gi union fi)",re\\(gi union fi))
  1852 	  else ("ok",[]) end;*)
  1853 fun chk_vars ctppc = 
  1854   let val {Given=gi,Where=wh,Find=fi,With=wi,Relate=re} = 
  1855           appc flat (mappc vars ctppc)
  1856       val chked = subtract op = gi wh
  1857   in if chked <> [] then ("wh\\gi", chked)
  1858      else let val chked = subtract op = (union op = gi fi) re
  1859           in if chked  <> []
  1860 	     then ("re\\(gi union fi)", chked)
  1861 	     else ("ok", []) 
  1862           end
  1863   end;
  1864 
  1865 (* check a new pbltype: variables (Free) unbound by given, find*) 
  1866 fun unbound_ppc ctppc =
  1867   let val {Given=gi,Find=fi,Relate=re,...} = 
  1868     appc flat (mappc vars ctppc)
  1869   in distinct (*re\\(gi union fi)*) 
  1870               (subtract op = (union op = gi fi) re) end;
  1871 (*
  1872 > val org = {Given=["[R=(R::real)]"],Where=[],
  1873 	   Find=["[A::real]"],With=[],
  1874 	   Relate=["[A=#2*a*b - a^^^#2, (a//#2)^^^#2 + (b//#2)^^^#2 = R^^^#2]"]
  1875 	   }:string ppc;
  1876 > val ctppc = mappc (the o (parse thy)) org;
  1877 > unbound_ppc ctppc;
  1878 val it = [("a","RealDef.real"),("b","RealDef.real")] : (string * typ) list
  1879 *)
  1880 
  1881 
  1882 (* f, a binary operator, is nested rightassociative *)
  1883 fun foldr1 f xs =
  1884   let
  1885     fun fld f (x::[]) = x
  1886       | fld f (x::x'::[]) = f (x',x)
  1887       | fld f (x::x'::xs) = f (fld f (x'::xs),x);
  1888   in ((fld f) o rev) xs end;
  1889 (*
  1890 > val (SOME ct) = parse thy "[a=b,c=d,e=f]";
  1891 > val ces = map (cterm_of thy) (isalist2list (term_of ct));
  1892 > val conj = foldr1 HOLogic.mk_conj (isalist2list (term_of ct));
  1893 > cterm_of thy conj;
  1894 val it = "(a = b & c = d) & e = f" : cterm
  1895 *)
  1896 
  1897 (* f, a binary operator, is nested leftassociative *)
  1898 fun foldl1 f (x::[]) = x
  1899   | foldl1 f (x::x'::[]) = f (x,x')
  1900   | foldl1 f (x::x'::xs) = f (x,foldl1 f (x'::xs));
  1901 (*
  1902 > val (SOME ct) = parse thy "[a=b,c=d,e=f,g=h]";
  1903 > val ces = map (cterm_of thy) (isalist2list (term_of ct));
  1904 > val conj = foldl1 HOLogic.mk_conj (isalist2list (term_of ct));
  1905 > cterm_of thy conj;
  1906 val it = "a = b & c = d & e = f & g = h" : cterm
  1907 *)
  1908 
  1909 
  1910 (* called only once, if a Subproblem has been located in the script*)
  1911 fun nxt_model_pbl (Subproblem'((_,pblID,metID),_,_,_,_)) ptp =
  1912 (* val (Subproblem'((_,pblID,metID),_,_,_,_),ptp) = (m', (pt,(p,p_)));
  1913    *)
  1914     (case metID of
  1915 	 ["no_met"] => 
  1916 	 (snd3 o hd o fst3) (nxt_specif (Refine_Tacitly pblID) ptp)
  1917        | _ => (snd3 o hd o fst3) (nxt_specif Model_Problem ptp))
  1918   (*all stored in tac_ itms     ^^^^^^^^^^*)
  1919   | nxt_model_pbl tac_ _ = 
  1920     raise error ("nxt_model_pbl: called by tac= "^tac_2str tac_);
  1921 (* run subp_rooteq.sml ''
  1922    until nxt=("Subproblem",Subproblem ("SqRoot.thy",["univariate","equation"]))
  1923 > val (_, (Subproblem'((_,pblID,metID),_,_,_,_),_,_,_,_,_)) =
  1924       (last_elem o drop_last) ets'';
  1925 > val mst = (last_elem o drop_last) ets'';
  1926 > nxt_model_pbl mst;
  1927 val it = Refine_Tacitly ["univariate","equation"] : tac
  1928 *)
  1929 
  1930 (*fun eq1 d (_,(d',_)) = (d = d'); ---modspec.sml*)
  1931 fun eq4 v (_,vts,_,_,_) = member op = vts v;
  1932 fun eq5 (_,_,_,_,itm_) (_,_,_,d,_) = d_in itm_ = d;
  1933 
  1934  
  1935 
  1936 (*
  1937   writeln (oris2str pors);
  1938 
  1939   writeln (itms2str_ thy pits);
  1940   writeln (itms2str_ thy mits);
  1941    *)
  1942 
  1943 
  1944 (*.complete _NON_empty calc-head for autocalc (sub-)pbl from oris
  1945   + met from fmz; assumes pos on PblObj, meth = [].*)
  1946 fun complete_mod (pt, pos as (p, p_):pos') =
  1947 (* val (pt, (p, _)) = (pt, p);
  1948    val (pt, (p, _)) = (pt, pos);
  1949    *)
  1950     let val _= if p_ <> Pbl 
  1951 	       then writeln("###complete_mod: only impl.for Pbl, called with "^
  1952 			    pos'2str pos) else ()
  1953 	val (PblObj{origin=(oris, ospec, hdl), probl, spec,...}) =
  1954 	    get_obj I pt p
  1955 	val (dI,pI,mI) = some_spec ospec spec
  1956 	val mpc = (#ppc o get_met) mI
  1957 	val ppc = (#ppc o get_pbt) pI
  1958 	val (pits, mits) = complete_mod_ (oris, mpc, ppc, probl)
  1959         val pt = update_pblppc pt p pits
  1960 	val pt = update_metppc pt p mits
  1961     in (pt, (p,Met):pos') end
  1962 ;
  1963 (*| complete_mod (pt, pos as (p, Met):pos') =
  1964     raise error ("###complete_mod: only impl.for Pbl, called with "^
  1965 		 pos'2str pos);*)
  1966 
  1967 (*.complete _EMPTY_ calc-head for autocalc (sub-)pbl from oris(+met from fmz);
  1968    oris and spec (incl. pbl-refinement) given from init_calc or SubProblem .*)
  1969 fun all_modspec (pt, (p,_):pos') =
  1970 (* val (pt, (p,_)) = ptp;
  1971    *)
  1972     let val (PblObj{fmz=(fmz_,_), origin=(pors, spec as (dI,pI,mI), hdl),
  1973 		    ...}) = get_obj I pt p;
  1974 	val thy = assoc_thy dI;
  1975 	val {ppc,...} = get_met mI;
  1976 	val mors = prep_ori fmz_ thy ppc;
  1977         val pt = update_pblppc pt p (map (ori2Coritm ppc) pors);
  1978 	val pt = update_metppc pt p (map (ori2Coritm ppc) mors);
  1979 	val pt = update_spec pt p (dI,pI,mI);
  1980     in (pt, (p,Met): pos') end;
  1981 
  1982 (*WN.12.03: use in nxt_spec, too ? what about variants ???*)
  1983 fun is_complete_mod_ ([]: itm list) = false
  1984   | is_complete_mod_ itms = 
  1985     foldl and_ (true, (map #3 itms));
  1986 fun is_complete_mod (pt, pos as (p, Pbl): pos') =
  1987     if (is_pblobj o (get_obj I pt)) p 
  1988     then (is_complete_mod_ o (get_obj g_pbl pt)) p
  1989     else raise error ("is_complete_mod: called by PrfObj at "^pos'2str pos)
  1990   | is_complete_mod (pt, pos as (p, Met)) = 
  1991     if (is_pblobj o (get_obj I pt)) p 
  1992     then (is_complete_mod_ o (get_obj g_met pt)) p
  1993     else raise error ("is_complete_mod: called by PrfObj at "^pos'2str pos)
  1994   | is_complete_mod (_, pos) =
  1995     raise error ("is_complete_mod called by "^pos'2str pos^
  1996 		 " (should be Pbl or Met)");
  1997 
  1998 (*.have (thy, pbl, met) _all_ been specified explicitly ?.*)
  1999 fun is_complete_spec (pt, pos as (p,_): pos') = 
  2000     if (not o is_pblobj o (get_obj I pt)) p 
  2001     then raise error ("is_complete_spec: called by PrfObj at "^pos'2str pos)
  2002     else let val (dI,pI,mI) = get_obj g_spec pt p
  2003 	 in dI<>e_domID andalso pI<>e_pblID andalso mI<>e_metID end;
  2004 (*.complete empty items in specification from origin (pbl, met ev.refined);
  2005   assumes 'is_complete_mod'.*)
  2006 fun complete_spec (pt, pos as (p,_): pos') = 
  2007     let val PblObj {origin = (_,ospec,_), spec,...} = get_obj I pt p
  2008 	val pt = update_spec pt p (some_spec ospec spec)
  2009     in (pt, pos) end;
  2010 
  2011 fun is_complete_modspec ptp = 
  2012     is_complete_mod ptp andalso is_complete_spec ptp;
  2013 
  2014 
  2015 
  2016 
  2017 fun pt_model (PblObj {meth,spec,origin=(_,spec',hdl),...}) Met =
  2018 (* val ((PblObj {meth,spec,origin=(_,spec',hdl),...}), Met) = (ppobj, p_);
  2019    *)
  2020     let val (_,_,metID) = get_somespec' spec spec'
  2021 	val pre = 
  2022 	    if metID = e_metID then []
  2023 	    else let val {prls,pre=where_,...} = get_met metID
  2024 		     val pre = check_preconds' prls where_ meth 0
  2025 		 in pre end
  2026 	val allcorrect = is_complete_mod_ meth
  2027 			 andalso foldl and_ (true, (map #1 pre))
  2028     in ModSpec (allcorrect, Met, hdl, meth, pre, spec) end
  2029   | pt_model (PblObj {probl,spec,origin=(_,spec',hdl),...}) _(*Frm,Pbl*) =
  2030 (* val ((PblObj {probl,spec,origin=(_,spec',hdl),...}),_) = (ppobj, p_);
  2031    *)
  2032     let val (_,pI,_) = get_somespec' spec spec'
  2033 	val pre =
  2034 	    if pI = e_pblID then []
  2035 	    else let val {prls,where_,cas,...} = get_pbt pI
  2036 		     val pre = check_preconds' prls where_ probl 0
  2037 		 in pre end
  2038 	val allcorrect = is_complete_mod_ probl
  2039 			 andalso foldl and_ (true, (map #1 pre))
  2040     in ModSpec (allcorrect, Pbl, hdl, probl, pre, spec) end;
  2041 
  2042 
  2043 fun pt_form (PrfObj {form,...}) = Form form
  2044   | pt_form (PblObj {probl,spec,origin=(_,spec',_),...}) =
  2045     let val (dI, pI, _) = get_somespec' spec spec'
  2046 	val {cas,...} = get_pbt pI
  2047     in case cas of
  2048 	   NONE => Form (pblterm dI pI)
  2049 	 | SOME t => Form (subst_atomic (mk_env probl) t)
  2050     end;
  2051 (*vvv takes the tac _generating_ the formula=result, asm ok....
  2052 fun pt_result (PrfObj {result=(t,asm), tac,...}) = 
  2053     (Form t, 
  2054      if null asm then NONE else SOME asm, 
  2055      SOME tac)
  2056   | pt_result (PblObj {result=(t,asm), origin = (_,ospec,_), spec,...}) =
  2057     let val (_,_,metID) = some_spec ospec spec
  2058     in (Form t, 
  2059 	if null asm then NONE else SOME asm, 
  2060 	if metID = e_metID then NONE else SOME (Apply_Method metID)) end;
  2061 -------------------------------------------------------------------------*)
  2062 
  2063 
  2064 (*.pt_extract returns
  2065       # the formula at pos
  2066       # the tactic applied to this formula
  2067       # the list of assumptions generated at this formula
  2068 	(by application of another tac to the preceding formula !)
  2069    pos is assumed to come from the frontend, ie. generated by moveDown.*)
  2070 (*cannot be in ctree.sml, because ModSpec has to be calculated*)
  2071 fun pt_extract (pt,([],Res)) =
  2072 (* val (pt,([],Res)) = ptp;
  2073    *)
  2074     let val (f, asm) = get_obj g_result pt []
  2075     in (Form f, NONE, asm) end
  2076 (* val p = [3,2];
  2077    *)
  2078   | pt_extract (pt,(p,Res)) =
  2079 (* val (pt,(p,Res)) = ptp;
  2080    *)
  2081     let val (f, asm) = get_obj g_result pt p
  2082 	val tac = if last_onlev pt p
  2083 		  then if is_pblobj' pt (lev_up p)
  2084 		       then let val (PblObj{spec=(_,pI,_),...}) = 
  2085 				    get_obj I pt (lev_up p)
  2086 			    in if pI = e_pblID then NONE 
  2087 			       else SOME (Check_Postcond pI) end
  2088 		       else SOME End_Trans (*WN0502 TODO for other branches*)
  2089 		  else let val p' = lev_on p
  2090 		       in if is_pblobj' pt p'
  2091 			  then let val (PblObj{origin = (_,(dI,pI,_),_),...}) =
  2092 				       get_obj I pt p'
  2093 			       in SOME (Subproblem (dI, pI)) end
  2094 			  else if f = get_obj g_form pt p'
  2095 			  then SOME (get_obj g_tac pt p')
  2096 			  (*because this Frm          ~~~is not on worksheet*)
  2097 			  else SOME (Take (term2str (get_obj g_form pt p')))
  2098 		       end
  2099     in (Form f, tac, asm) end
  2100 	
  2101   | pt_extract (pt, pos as (p,p_(*Frm,Pbl*))) =
  2102 (* val (pt, pos as (p,p_(*Frm,Pbl*))) = ptp;
  2103    val (pt, pos as (p,p_(*Frm,Pbl*))) = (pt, p);
  2104    *)
  2105     let val ppobj = get_obj I pt p
  2106 	val f = if is_pblobj ppobj then pt_model ppobj p_
  2107 		else get_obj pt_form pt p
  2108 	val tac = g_tac ppobj
  2109     in (f, SOME tac, []) end;
  2110 
  2111 
  2112 (**. get the formula from a ctree-node:
  2113  take form+res from PblObj and 1.PrfObj and (PrfObj after PblObj)
  2114  take res from all other PrfObj's .**)
  2115 (*designed for interSteps, outcommented 04 in favour of calcChangedEvent*)
  2116 fun formres p (Nd (PblObj {origin = (_,_, h), result = (r, _),...}, _)) =
  2117     [("headline", (p, Frm), h), 
  2118      ("stepform", (p, Res), r)]
  2119   | formres p (Nd (PrfObj {form, result = (r, _),...}, _)) = 
  2120     [("stepform", (p, Frm), form), 
  2121      ("stepform", (p, Res), r)];
  2122 
  2123 fun form p (Nd (PrfObj {result = (r, _),...}, _)) = 
  2124     [("stepform", (p, Res), r)]
  2125 
  2126 (*assumes to take whole level, in particular hd -- for use in interSteps*)
  2127 fun get_formress fs p [] = flat fs
  2128   | get_formress fs p (nd::nds) =
  2129     (* start with   'form+res'       and continue with trying 'res' only*)
  2130     get_forms (fs @ [formres p nd]) (lev_on p) nds
  2131 and get_forms fs p [] = flat fs
  2132   | get_forms fs p (nd::nds) =
  2133     if is_pblnd nd
  2134     (* start again with      'form+res' ///ugly repeat with Check_elementwise
  2135     then get_formress (fs @ [formres p nd]) (lev_on p) nds                   *)
  2136     then get_forms    (fs @ [formres p nd]) (lev_on p) nds
  2137     (* continue with trying 'res' only*)
  2138     else get_forms    (fs @ [form    p nd]) (lev_on p) nds;
  2139 
  2140 (**.get an 'interval' 'from' 'to' of formulae from a ptree.**)
  2141 (*WN050219 made robust against _'to' below or after Complete nodes
  2142 	   by handling exn caused by move_dn*)
  2143 (*WN0401 this functionality belongs to ctree.sml, 
  2144 but fetching a calc_head requires calculations defined in modspec.sml
  2145 transfer to ME/me.sml !!!
  2146 WN051224 ^^^ doesnt hold any longer, since only the headline of a calc_head
  2147 is returned !!!!!!!!!!!!!
  2148 *)
  2149 fun eq_pos' (p1,Frm) (p2,Frm) = p1 = p2
  2150   | eq_pos' (p1,Res) (p2,Res) = p1 = p2
  2151   | eq_pos' (p1,Pbl) (p2,p2_) = p1 = p2 andalso (case p2_ of
  2152 						     Pbl => true
  2153 						   | Met => true
  2154 						   | _ => false)
  2155   | eq_pos' (p1,Met) (p2,p2_) = p1 = p2 andalso (case p2_ of
  2156 						     Pbl => true
  2157 						   | Met => true
  2158 						   | _ => false)
  2159   | eq_pos' _ _ = false;
  2160 
  2161 (*.get an 'interval' from the ctree; 'interval' is w.r.t. the 
  2162    total ordering Position#compareTo(Position p) in the java-code
  2163 val get_interval = fn
  2164     : pos' ->     : from is "move_up 1st-element" to return
  2165       pos' -> 	  : to the last element to be returned; from < to
  2166       int -> 	  : level: 0 gets the flattest sub-tree possible
  2167 			   >999 gets the deepest sub-tree possible
  2168       ptree -> 	  : 
  2169       (pos' * 	  : of the formula
  2170        Term.term) : the formula
  2171 	  list
  2172 .*)
  2173 fun get_interval from to level pt =
  2174 (* val (from,level) = (f,lev);
  2175    val (from, to, level) = (([3, 2, 1], Res), ([],Res), 9999);
  2176    *)
  2177     let fun get_inter c (from:pos') (to:pos') lev pt =
  2178 (* val (c, from, to, lev) = ([], from, to, level);
  2179    ------for recursion.......
  2180    val (c, from:pos', to:pos') = (c @ [(from, f)], move_dn [] pt from, to);
  2181    *)
  2182 	    if eq_pos' from to orelse from = ([],Res)
  2183 	    (*orelse ... avoids Exception- PTREE "end of calculation" raised,
  2184 	     if 'to' has values NOT generated by move_dn, see systest/me.sml
  2185              TODO.WN0501: introduce an order on pos' and check "from > to"..
  2186              ...there is an order in Java! 
  2187              WN051224 the hack got worse with returning term instead ptform*)
  2188 	    then let val (f,_,_) = pt_extract (pt, from)
  2189 		 in case f of
  2190 			ModSpec (_,_,headline,_,_,_) => c @ [(from, headline)] 
  2191 		      | Form t => c @ [(from, t)]
  2192 		 end
  2193 	    else 
  2194 		if lev < lev_of from
  2195 		then (get_inter c (move_dn [] pt from) to lev pt)
  2196 		     handle (PTREE _(*from move_dn too far*)) => c
  2197 		else let val (f,_,_) = pt_extract (pt, from)
  2198 			 val term = case f of
  2199 					ModSpec (_,_,headline,_,_,_)=> headline
  2200 				      | Form t => t
  2201 		     in (get_inter (c @ [(from, term)]) 
  2202 				   (move_dn [] pt from) to lev pt)
  2203 			handle (PTREE _(*from move_dn too far*)) 
  2204 			       => c @ [(from, term)] end
  2205     in get_inter [] from to level pt end;
  2206 
  2207 (*for tests*)
  2208 fun posform2str (pos:pos', form) =
  2209     "("^ pos'2str pos ^", "^
  2210     (case form of 
  2211 	 Form f => term2str f
  2212        | ModSpec c => term2str (#3 c(*the headline*)))
  2213     ^")";
  2214 fun posforms2str pfs = (strs2str' o (map (curry op ^ "\n")) o 
  2215 			(map posform2str)) pfs;
  2216 fun posterm2str (pos:pos', t) =
  2217     "("^ pos'2str pos ^", "^term2str t^")";
  2218 fun posterms2str pfs = (strs2str' o (map (curry op ^ "\n")) o 
  2219 			(map posterm2str)) pfs;
  2220 
  2221 
  2222 (*WN050225 omits the last step, if pt is incomplete*)
  2223 fun show_pt pt = 
  2224     writeln (posterms2str (get_interval ([],Frm) ([],Res) 99999 pt));
  2225 
  2226 (*.get a calchead from a PblObj-node in the ctree; 
  2227    preconditions must be calculated.*)
  2228 fun get_ocalhd (pt, pos' as (p,Pbl):pos') = 
  2229     let val PblObj {origin = (oris, ospec, hdf'), spec, probl,...} = 
  2230 	    get_obj I pt p
  2231 	val {prls,where_,...} = get_pbt (#2 (some_spec ospec spec))
  2232 	val pre = check_preconds (assoc_thy"Isac.thy") prls where_ probl
  2233     in (ocalhd_complete probl pre spec, Pbl, hdf', probl, pre, spec):ocalhd end
  2234 | get_ocalhd (pt, pos' as (p,Met):pos') = 
  2235     let val PblObj {fmz = fmz as (fmz_,_), origin = (oris, ospec, hdf'), 
  2236 		    spec, meth,...} = 
  2237 	    get_obj I pt p
  2238 	val {prls,pre,...} = get_met (#3 (some_spec ospec spec))
  2239 	val pre = check_preconds (assoc_thy"Isac.thy") prls pre meth
  2240     in (ocalhd_complete meth pre spec, Met, hdf', meth, pre, spec):ocalhd end;
  2241 
  2242 (*.at the activeFormula set the Model, the Guard and the Specification 
  2243    to empty and return a CalcHead;
  2244    the 'origin' remains (for reconstructing all that).*)
  2245 fun reset_calchead (pt, pos' as (p,_):pos') = 
  2246     let val PblObj {origin = (_, _, hdf'),...} = get_obj I pt p
  2247 	val pt = update_pbl pt p []
  2248 	val pt = update_met pt p []
  2249 	val pt = update_spec pt p e_spec
  2250     in (pt, (p,Pbl):pos') end;
  2251 
  2252 (*---------------------------------------------------------------------*)
  2253 end
  2254 
  2255 open CalcHead;
  2256 (*---------------------------------------------------------------------*)
  2257