wneuper/isa: src/Tools/isac/Interpret/script.sml@1536870f7dc5

     1 (* Title:  interpreter for scripts

     2    Author: Walther Neuper 2000

     3    (c) due to copyright terms

     4 12345678901234567890123456789012345678901234567890123456789012345678901234567890

     5         10        20        30        40        50        60        70        80

     6 *)

     8 signature INTERPRETER =

     9 sig

    10   (*type ets (list of executed tactics) see sequent.sml*)

    12   datatype locate

    13     = NotLocatable

    14     | Steps of (tac_ * mout * ptree * pos' * cid * safe (* ets*)) list

    15 (*    | ToDo of ets 28.4.02*)

    17   (*diss: next-tactic-function*)

    18   val next_tac : theory' -> ptree * pos' -> metID -> scr -> ets -> tac_

    19   (*diss: locate-function*)

    20   val locate_gen : theory'

    21                    -> tac_

    22                       -> ptree * pos' -> scr * rls -> ets -> loc_ -> locate

    24   val sel_rules : ptree -> pos' -> tac list

    25   val init_form : scr -> ets -> loc_ * term option (*FIXME not up to date*)

    26   val formal_args : term -> term list

    28   (*shift to library ...*)

    29   val inst_abs : theory' -> term -> term

    30   val itms2args : metID -> itm list -> term list

    31   val user_interrupt : loc_ * (tac_ * env * env * term * term * safe)

    32   (*val empty : term*)

    33 end

    38 (*

    39 structure Interpreter : INTERPRETER =

    40 struct

    41 *)

    43 (*.traces the leaves (ie. non-tactical nodes) of the script

    44    found by next_tac.

    45    a leaf is either a tactic or an 'exp' in 'let v = expr'

    46    where 'exp' does not contain a tactic.*)

    47 val trace_script = Unsynchronized.ref false;

    49 type step =     (*data for creating a new node in the ptree;

    50 		 designed for use:

    51                	 fun ass* scrstate steps =

    52                	 ... case ass* scrstate steps of

    53                	     Assoc (scrstate, steps) => ... ass* scrstate steps*)

    54     tac_       (*transformed from associated tac*)

    55     * mout       (*result with indentation etc.*)

    56     * ptree      (*containing node created by tac_ + resp. scrstate*)

    57     * pos'       (*position in ptree; ptree * pos' is the proofstate*)

    58     * pos' list; (*of ptree-nodes probably cut (by fst tac_)*)

    59 val e_step = (Empty_Tac_, EmptyMout, EmptyPtree, e_pos',[]:pos' list):step;

    61 fun rule2thm' (Thm (id, thm)) = (id, string_of_thmI thm):thm'

    62   | rule2thm' r = error ("rule2thm': not defined for "^(rule2str r));

    63 fun rule2rls' (Rls_ rls) = id_rls rls

    64   | rule2rls' r = error ("rule2rls': not defined for "^(rule2str r));

    66 (*.makes a (rule,term) list to a Step (m, mout, pt', p', cid) for solve;

    67    complicated with current t in rrlsstate.*)

    68 fun rts2steps steps ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa)) [(r, (f', am))] =

    69       let

    70         val thy = assoc_thy thy'

    71         val ctxt = get_ctxt pt p |> insert_assumptions am

    72 	      val m = Rewrite' (thy', ro, er, pa, rule2thm' r, f, (f', am))

    73 	      val is = RrlsState (f', f'', rss, rts)

    74 	      val p = case p of (p',Frm) => p | (p',Res) => (lev_on p',Res)

    75 	      val (p', cid, mout, pt') = generate1 thy m (is, ctxt) p pt

    76       in (is, (m, mout, pt', p', cid) :: steps) end

    77   | rts2steps steps ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa)) ((r, (f', am))::rts') =

    78       let

    79         val thy = assoc_thy thy'

    80         val ctxt = get_ctxt pt p |> insert_assumptions am

    81 	      val m = Rewrite' (thy',ro,er,pa, rule2thm' r, f, (f', am))

    82 	      val is = RrlsState (f',f'',rss,rts)

    83 	      val p = case p of (p',Frm) => p | (p',Res) => (lev_on p',Res)

    84 	      val (p', cid, mout, pt') = generate1 thy m (is, ctxt) p pt

    85       in rts2steps ((m, mout, pt', p', cid)::steps)

    86 		    ((pt',p'),(f',f'',rss,rts),(thy',ro,er,pa)) rts' end;

    88 (*. functions for the environment stack .*)

    89 fun accessenv id es = the (assoc((top es):env, id))

    90     handle _ => error ("accessenv: "^(free2str id)^" not in env");

    91 fun updateenv id vl (es:env stack) =

    92     (push (overwrite(top es, (id, vl))) (pop es)):env stack;

    93 fun pushenv id vl (es:env stack) =

    94     (push (overwrite(top es, (id, vl))) es):env stack;

    95 val popenv = pop:env stack -> env stack;

    99 fun de_esc_underscore str =

   100   let fun scan [] = []

   101 	| scan (s::ss) = if s = "'" then (scan ss)

   102 			 else (s::(scan ss))

   103   in (implode o scan o Symbol.explode) str end;

   104 (*

   105 > val str = "Rewrite_Set_Inst";

   106 > val esc = esc_underscore str;

   107 val it = "Rewrite'_Set'_Inst" : string

   108 > val des = de_esc_underscore esc;

   109  val des = de_esc_underscore esc;*)

   111 (*go at a location in a script and fetch the contents*)

   112 fun go [] t = t

   113   | go (D::p) (Abs(s,ty,t0)) = go (p:loc_) t0

   114   | go (L::p) (t1 $ t2) = go p t1

   115   | go (R::p) (t1 $ t2) = go p t2

   116   | go l _ = error ("go: no "^(loc_2str l));

   117 (*

   118 > val t = (term_of o the o (parse thy)) "a+b";

   119 val it = Const (#,#) $ Free (#,#) $ Free ("b","RealDef.real") : term

   120 > val plus_a = go [L] t;

   121 > val b = go [R] t;

   122 > val plus = go [L,L] t;

   123 > val a = go [L,R] t;

   125 > val t = (term_of o the o (parse thy)) "a+b+c";

   126 val t = Const (#,#) $ (# $ # $ Free #) $ Free ("c","RealDef.real") : term

   127 > val pl_pl_a_b = go [L] t;

   128 > val c = go [R] t;

   129 > val a = go [L,R,L,R] t;

   130 > val b = go [L,R,R] t;

   131 *)

   134 (* get a subterm t with test t, and record location *)

   135 fun get l test (t as Const (s,T)) =

   136     if test t then SOME (l,t) else NONE

   137   | get l test (t as Free (s,T)) =

   138     if test t then SOME (l,t) else NONE

   139   | get l test (t as Bound n) =

   140     if test t then SOME (l,t) else NONE

   141   | get l test (t as Var (s,T)) =

   142     if test t then SOME (l,t) else NONE

   143   | get l test (t as Abs (s,T,body)) =

   144     if test t then SOME (l:loc_,t) else get ((l@[D]):loc_) test body

   145   | get l test (t as t1 $ t2) =

   146     if test t then SOME (l,t)

   147     else case get (l@[L]) test t1 of

   148       NONE => get (l@[R]) test t2

   149     | SOME (l',t') => SOME (l',t');

   150 (*18.6.00

   151 > val sss = ((term_of o the o (parse thy))

   152   "Script Solve_root_equation (eq_::bool) (v_::real) (err_::bool) =\

   153    \ (let e_ = Try (Rewrite square_equation_left True eq_) \

   154    \  in [e_])");

   155           ______ compares head_of !!

   156 > get [] (eq_str "HOL.Let") sss;            [R]

   157 > get [] (eq_str "Script.Try") sss;     [R,L,R]

   158 > get [] (eq_str "Script.Rewrite") sss; [R,L,R,R]

   159 > get [] (eq_str "HOL.True") sss;           [R,L,R,R,L,R]

   160 > get [] (eq_str "e_") sss;             [R,R]

   161 *)

   163 fun test_negotiable t =

   164     member op = (!negotiable)

   165            ((strip_thy o (term_str (Thy_Info.get_theory "Script")) o head_of) t);

   167 (*.get argument of first stactic in a script for init_form.*)

   168 fun get_stac thy (h $ body) =

   169   let

   170     fun get_t y (Const ("Script.Seq",_) $ e1 $ e2) a =

   171     	(case get_t y e1 a of NONE => get_t y e2 a | la => la)

   172       | get_t y (Const ("Script.Seq",_) $ e1 $ e2 $ a) _ =

   173     	(case get_t y e1 a of NONE => get_t y e2 a | la => la)

   174       | get_t y (Const ("Script.Try",_) $ e) a = get_t y e a

   175       | get_t y (Const ("Script.Try",_) $ e $ a) _ = get_t y e a

   176       | get_t y (Const ("Script.Repeat",_) $ e) a = get_t y e a

   177       | get_t y (Const ("Script.Repeat",_) $ e $ a) _ = get_t y e a

   178       | get_t y (Const ("Script.Or",_) $e1 $ e2) a =

   179     	(case get_t y e1 a of NONE => get_t y e2 a | la => la)

   180       | get_t y (Const ("Script.Or",_) $e1 $ e2 $ a) _ =

   181     	(case get_t y e1 a of NONE => get_t y e2 a | la => la)

   182       | get_t y (Const ("Script.While",_) $ c $ e) a = get_t y e a

   183       | get_t y (Const ("Script.While",_) $ c $ e $ a) _ = get_t y e a

   184       | get_t y (Const ("Script.Letpar",_) $ e1 $ Abs (_,_,e2)) a =

   185     	(case get_t y e1 a of NONE => get_t y e2 a | la => la)

   186     (*| get_t y (Const ("HOL.Let",_) $ e1 $ Abs (_,_,e2)) a =

   187 	    (case get_t y e1 a of NONE => get_t y e2 a | la => la)

   188       | get_t y (Abs (_,_,e)) a = get_t y e a*)

   189       | get_t y (Const ("HOL.Let",_) $ e1 $ Abs (_,_,e2)) a =

   190     	get_t y e1 a (*don't go deeper without evaluation !*)

   191       | get_t y (Const ("If",_) $ c $ e1 $ e2) a = NONE

   192     	(*(case get_t y e1 a of NONE => get_t y e2 a | la => la)*)

   194       | get_t y (Const ("Script.Rewrite",_) $ _ $ _ $ a) _ = SOME a

   195       | get_t y (Const ("Script.Rewrite",_) $ _ $ _    ) a = SOME a

   196       | get_t y (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ $ a) _ = SOME a

   197       | get_t y (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ )    a = SOME a

   198       | get_t y (Const ("Script.Rewrite'_Set",_) $ _ $ _ $ a) _ = SOME a

   199       | get_t y (Const ("Script.Rewrite'_Set",_) $ _ $ _ )    a = SOME a

   200       | get_t y (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ $a)_ =SOME a

   201       | get_t y (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ )  a =SOME a

   202       | get_t y (Const ("Script.Calculate",_) $ _ $ a) _ = SOME a

   203       | get_t y (Const ("Script.Calculate",_) $ _ )    a = SOME a

   205       | get_t y (Const ("Script.Substitute",_) $ _ $ a) _ = SOME a

   206       | get_t y (Const ("Script.Substitute",_) $ _ )    a = SOME a

   208       | get_t y (Const ("Script.SubProblem",_) $ _ $ _) _ = NONE

   210       | get_t y x _ =

   211 	((*tracing ("### get_t yac: list-expr "^(term2str x));*)

   212 	 NONE)

   213 in get_t thy body e_term end;

   215 fun init_form thy (Prog sc) env =

   216   (case get_stac thy sc of

   217      NONE => NONE

   218    | SOME stac => SOME (subst_atomic env stac))

   219   | init_form _ _ _ = error "init_form: no match";

   221 (*the 'iteration-argument' of a stac (args not eval)*)

   222 fun itr_arg _ (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ $ v) = v

   223   | itr_arg _ (Const ("Script.Rewrite",_) $ _ $ _ $ v) = v

   224   | itr_arg _ (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ $ v) = v

   225   | itr_arg _ (Const ("Script.Rewrite'_Set",_) $ _ $ _ $ v) = v

   226   | itr_arg _ (Const ("Script.Calculate",_) $ _ $ v) = v

   227   | itr_arg _ (Const ("Script.Check'_elementwise",_) $ consts $ _) = consts

   228   | itr_arg _ (Const ("Script.Or'_to'_List",_) $ _) = e_term

   229   | itr_arg _ (Const ("Script.Tac",_) $ _) = e_term

   230   | itr_arg _ (Const ("Script.SubProblem",_) $ _ $ _) = e_term

   231   | itr_arg thy t = error ("itr_arg not impl. for " ^ term_to_string'' thy t);

   232 (* val t = (term_of o the o (parse thy))"Rewrite rroot_square_inv False e_";

   233 > itr_arg "Script" t;

   234 val it = Free ("e_","RealDef.real") : term

   235 > val t = (term_of o the o (parse thy))"xxx";

   236 > itr_arg "Script" t;

   237 *** itr_arg not impl. for xxx

   238 uncaught exception ERROR

   239   raised at: library.ML:1114.35-1114.40*)

   242 (*.get the arguments of the script out of the scripts parsetree.*)

   243 fun formal_args scr = (fst o split_last o snd o strip_comb) scr;

   244 (*

   245 > formal_args scr;

   246   [Free ("f_","RealDef.real"),Free ("v_","RealDef.real"),

   247    Free ("eqs_","bool List.list")] : term list

   248 *)

   250 (*.get the identifier of the script out of the scripts parsetree.*)

   251 fun id_of_scr sc = (id_of o fst o strip_comb) sc;

   253 (*WN020526: not clear, when a is available in ass_up for eva-_true*)

   254 (*WN060906: in "fun handle_leaf" eg. uses "SOME M__"(from some PREVIOUS

   255   curried Rewrite) for CURRENT value (which may be different from PREVIOUS);

   256   thus "NONE" must be set at the end of currying (ill designed anyway)*)

   257 fun upd_env_opt env (SOME a, v) = upd_env env (a,v)

   258   | upd_env_opt env (NONE, v) =

   259       (tracing ("*** upd_env_opt: (NONE," ^ term2str v ^ ")"); env);

   261 type dsc = typ; (*<-> nam..unknow in Descript.thy*)

   262 fun typ_str (Type (s,_)) = s

   263   | typ_str (TFree(s,_)) = s

   264   | typ_str (TVar ((s,i),_)) = s ^ (string_of_int i);

   266 (*get the _result_-type of a description*)

   267 fun dsc_valT (Const (_,(Type (_,[_,T])))) = (strip_thy o typ_str) T;

   268 (*> val t = (term_of o the o (parse thy)) "equality";

   269 > val T = type_of t;

   270 val T = "bool => Tools.una" : typ

   271 > val dsc = dsc_valT t;

   272 val dsc = "una" : string

   274 > val t = (term_of o the o (parse thy)) "fixedValues";

   275 > val T = type_of t;

   276 val T = "bool List.list => Tools.nam" : typ

   277 > val dsc = dsc_valT t;

   278 val dsc = "nam" : string*)

   280 (*.from penv in itm_ make args for script depending on type of description.*)

   281 (*6.5.03 TODO: push penv into script -- and drop mk_arg here || drop penv

   282   9.5.03 penv postponed: penv = env for script at the moment, (*mk_arg*)*)

   283 fun mk_arg thy d [] =

   284     error ("mk_arg: no data for " ^ term_to_string''' thy d)

   285   | mk_arg thy d [t] =

   286     (case dsc_valT d of

   287 	     "una" => [t]

   288      | "nam" =>

   289 	     [case t of

   290 	        r as (Const ("HOL.eq",_) $ _ $ _) => r

   291 	      | _ => error ("mk_arg: dsc-typ 'nam' applied to non-equality " ^ term_to_string''' thy t)]

   292         | s => error ("mk_arg: not impl. for "^s))

   293   | mk_arg thy d (t::ts) = (mk_arg thy d [t]) @ (mk_arg thy d ts);

   294 (*

   295  val d = d_in itm_;

   296  val [t] = ts_in itm_;

   297 mk_arg thy

   298 *)

   303 (*.create the actual parameters (args) of script: their order

   304   is given by the order in met.pat .*)

   305 (*WN.5.5.03: ?: does this allow for different descriptions ???

   306              ?: why not taken from formal args of script ???

   307 !: FIXXXME penv: push it here in itms2args into script-evaluation*)

   308 (* val (thy, mI, itms) = (thy, metID, itms);

   309    *)

   310 fun itms2args thy mI (itms:itm list) =

   311     let val mvat = max_vt itms

   312 	fun okv mvat (_,vats,b,_,_) = member op = vats mvat andalso b

   313 	val itms = filter (okv mvat) itms

   314 	fun test_dsc d (_,_,_,_,itm_) = (d = d_in itm_)

   315 	fun itm2arg itms (_,(d,_)) =

   316 	    case find_first (test_dsc d) itms of

   317 		NONE =>

   318 		error ("itms2args: '"^term2str d^"' not in itms")

   319 	      (*| SOME (_,_,_,_,itm_) => mk_arg thy (d_in itm_) (ts_in itm_);

   320                penv postponed; presently penv holds already env for script*)

   321 	      | SOME (_,_,_,_,itm_) => penvval_in itm_

   322 	fun sel_given_find (s,_) = (s = "#Given") orelse (s = "#Find")

   323 	val pats = (#ppc o get_met) mI

   324     in (flat o (map (itm2arg itms))) pats end;

   325 (*

   326 > val sc = ... Solve_root_equation ...

   327 > val mI = ("Script","sqrt-equ-test");

   328 > val PblObj{meth={ppc=itms,...},...} = get_obj I pt [];

   329 > val ts = itms2args thy mI itms;

   330 > map (term_to_string''' thy) ts;

   331 ["sqrt (#9 + #4 * x) = sqrt x + sqrt (#5 + x)","x","#0"] : string list

   332 *)

   335 (*detour necessary, because generate1 delivers a string-result*)

   336 fun mout2term thy (Form' (FormKF (_,_,_,_,res))) =

   337   (term_of o the o (parse (assoc_thy thy))) res

   338   | mout2term thy (Form' (PpcKF _)) = e_term;(*3.8.01: res of subpbl

   339 					   at time of detection in script*)

   341 (*.convert a script-tac 'stac' to a tactic 'tac'; if stac is an initac,

   342    then convert to a 'tac_' (as required in appy).

   343    arg pt:ptree for pushing the thy specified in rootpbl into subpbls.*)

   344 fun stac2tac_ pt thy (Const ("Script.Rewrite",_) $ Free (thmID,_) $ _ $ f) =

   345       let

   346         val tid = (de_esc_underscore o strip_thy) thmID

   347       in (Rewrite (tid, (string_of_thmI o (assoc_thm' thy)) (tid,"")), Empty_Tac_)

   348       end

   350   | stac2tac_ pt thy (Const ("Script.Rewrite'_Inst",_) $ sub $ Free (thmID,_) $ _ $ f) =

   351       let

   352         val subML = ((map isapair2pair) o isalist2list) sub

   353         val subStr = subst2subs subML

   354         val tid = (de_esc_underscore o strip_thy) thmID (*4.10.02 unnoetig*)

   355       in (Rewrite_Inst (subStr, (tid, (string_of_thmI o (assoc_thm' thy)) (tid,""))), Empty_Tac_)

   356       end

   358   | stac2tac_ pt thy (Const ("Script.Rewrite'_Set",_) $ Free (rls,_) $ _ $ f) =

   359       (Rewrite_Set ((de_esc_underscore o strip_thy) rls), Empty_Tac_)

   361   | stac2tac_ pt thy (Const ("Script.Rewrite'_Set'_Inst",_) $ sub $ Free (rls,_) $ _ $ f) =

   362       let

   363         val subML = ((map isapair2pair) o isalist2list) sub;

   364         val subStr = subst2subs subML;

   365       in (Rewrite_Set_Inst (subStr,rls), Empty_Tac_) end

   367   | stac2tac_ pt thy (Const ("Script.Calculate",_) $ Free (op_,_) $ f) =

   368       (Calculate op_, Empty_Tac_)

   370   | stac2tac_ pt thy (Const ("Script.Take",_) $ t) =

   371       (Take (term2str t), Empty_Tac_)

   373   | stac2tac_ pt thy (Const ("Script.Substitute",_) $ isasub $ arg) =

   374       (Substitute ((subte2sube o isalist2list) isasub), Empty_Tac_)

   376   | stac2tac_ pt thy (Const("Script.Check'_elementwise",_) $ _ $

   377       (set as Const ("Set.Collect",_) $ Abs (_,_,pred))) =

   378         (Check_elementwise (term_to_string''' thy pred), (*set*)Empty_Tac_)

   380   | stac2tac_ pt thy (Const("Script.Or'_to'_List",_) $ _ ) =

   381       (Or_to_List, Empty_Tac_)

   383     (*12.1.01.for subproblem_equation_dummy in root-equation *)

   384   | stac2tac_ pt thy (Const ("Script.Tac",_) $ Free (str,_)) =

   385       (Tac ((de_esc_underscore o strip_thy) str),  Empty_Tac_)

   387     (*compare "| assod _ (Subproblem'"*)

   388   | stac2tac_ pt thy (stac as Const ("Script.SubProblem",_) $

   389 	  (Const ("Product_Type.Pair",_) $Free (dI',_) $

   390 		 (Const ("Product_Type.Pair",_) $ pI' $ mI')) $ ags') =

   391       let

   392         val dI = ((implode o drop_last(*.."'"*) o Symbol.explode) dI')(*^""*);

   393         val thy = maxthy (assoc_thy dI) (rootthy pt);

   394 	      val pI = ((map (de_esc_underscore o free2str)) o isalist2list) pI';

   395 	      val mI = ((map (de_esc_underscore o free2str)) o isalist2list) mI';

   396 	      val ags = isalist2list ags';

   397 	      val (pI, pors, mI) =

   398 	        if mI = ["no_met"]

   399 	        then

   400             let

   401               val pors = (match_ags thy ((#ppc o get_pbt) pI) ags)

   402 			          handle ERROR "actual args do not match formal args"

   403 				        => (match_ags_msg pI stac ags(*raise exn*); [])

   404 		          val pI' = refine_ori' pors pI;

   405 		        in (pI', pors (*refinement over models with diff.prec only*),

   406 		            (hd o #met o get_pbt) pI') end

   407 	        else (pI, (match_ags thy ((#ppc o get_pbt) pI) ags)

   408 		        handle ERROR "actual args do not match formal args"

   409 			      => (match_ags_msg pI stac ags(*raise exn*); []), mI);

   410         val (fmz_, vals) = oris2fmz_vals pors;

   411 	      val {cas,ppc,thy,...} = get_pbt pI

   412 	      val dI = theory2theory' thy (*.take dI from _refined_ pbl.*)

   413 	      val dI = theory2theory' (maxthy (assoc_thy dI) (rootthy pt));

   414         val ctxt = Proof_Context.init_global

   415         val ctxt = dI |> Thy_Info.get_theory |> Proof_Context.init_global

   416           |> declare_constraints' vals

   417 	      val hdl =

   418           case cas of

   419 		        NONE => pblterm dI pI

   420 		      | SOME t => subst_atomic ((vars_of_pbl_' ppc) ~~~ vals) t

   421         val f = subpbl (strip_thy dI) pI

   422       in (Subproblem (dI, pI),	Subproblem' ((dI, pI, mI), pors, hdl, fmz_, ctxt, f))

   423       end

   424   | stac2tac_ pt thy t = error

   425       ("stac2tac_ TODO: no match for " ^ term_to_string''' thy t);

   427 fun stac2tac pt thy t = (fst o stac2tac_ pt thy) t;

   429 (*test a term for being a _list_ (set ?) of constants; could be more rigorous*)

   430 fun list_of_consts (Const ("List.list.Cons",_) $ _ $ _) = true

   431   | list_of_consts (Const ("List.list.Nil",_)) = true

   432   | list_of_consts _ = false;

   433 (*val ttt = (term_of o the o (parse thy)) "[x=#1,x=#2,x=#3]";

   434 > list_of_consts ttt;

   435 val it = true : bool

   436 > val ttt = (term_of o the o (parse thy)) "[]";

   437 > list_of_consts ttt;

   438 val it = true : bool*)

   442 datatype ass =

   443     Ass of

   444       tac_ *   (* SubProblem gets args instantiated in assod *)

   445   	  term     (* for itr_arg, result in ets *)

   446   | AssWeak of

   447       tac_ *

   448   	  term     (*for itr_arg,result in ets*)

   449   | NotAss;

   451 (* check if tac_ is associated with stac.

   452    Additional task: check if term t (the result has been calculated from) in tac_

   453    has been changed (see "datatype tac_"); if yes, recalculate result

   454    TODO.WN120106 recalculate impl.only for Substitute'

   455 args

   456   pt     : ptree for pushing the thy specified in rootpbl into subpbls

   457   d      : unused (planned for data for comparison)

   458   tac_   : from user (via applicable_in); to be compared with ...

   459   stac   : found in Script

   460 returns

   461   Ass    : associated: e.g. thmID in stac = thmID in m

   462                        +++ arg   in stac = arg   in m

   463   AssWeak: weakly ass.:e.g. thmID in stac = thmID in m, //arg//

   464   NotAss :             e.g. thmID in stac/=/thmID in m (not =)

   465 *)

   466 fun assod pt d (m as Rewrite_Inst' (thy',rod,rls,put,subs,(thmID,thm),f,(f',asm))) stac =

   467       (case stac of

   468 	       (Const ("Script.Rewrite'_Inst",_) $ subs_ $ Free (thmID_,idT) $b$f_) =>

   469 	          if thmID = thmID_

   470             then

   471 	            if f = f_

   472               then ((*tracing"3### assod ..Ass";*)Ass (m,f'))

   473 	            else ((*tracing"3### assod ..AssWeak";*)AssWeak(m, f'))

   474 	          else ((*tracing"3### assod ..NotAss";*)NotAss)

   475        | (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free (rls_,_) $_$f_) =>

   476 	          if contains_rule (Thm (thmID, refl(*dummy*))) (assoc_rls rls_)

   477             then

   478 	            if f = f_ then Ass (m,f') else AssWeak (m,f')

   479 	          else NotAss

   480        | _ => NotAss)

   482   | assod pt d (m as Rewrite' (thy,rod,rls,put,(thmID,thm),f,(f',asm))) stac =

   483       (case stac of

   484 	       (t as Const ("Script.Rewrite",_) $ Free (thmID_,idT) $ b $ f_) =>

   485 	         ((*tracing ("3### assod: stac = " ^ ter2str t);

   486 	          tracing ("3### assod: f(m)= " ^ term2str f);*)

   487 	          if thmID = thmID_

   488             then

   489 	            if f = f_

   490               then ((*tracing"3### assod ..Ass";*)Ass (m,f'))

   491 	            else

   492                 ((*tracing"### assod ..AssWeak";

   493 		             tracing("### assod: f(m)  = " ^ term2str f);

   494 		             tracing("### assod: f(stac)= " ^ term2str f_)*)

   495 		             AssWeak (m,f'))

   496 	          else ((*tracing"3### assod ..NotAss";*)NotAss))

   497        | (Const ("Script.Rewrite'_Set",_) $ Free (rls_,_) $ _ $ f_) =>

   498 	          if contains_rule (Thm (thmID, refl(*dummy*))) (assoc_rls rls_)

   499             then

   500 	            if f = f_ then Ass (m,f') else AssWeak (m,f')

   501 	          else NotAss

   502        | _ => NotAss)

   504   | assod pt d (m as Rewrite_Set_Inst' (thy',put,sub,rls,f,(f',asm)))

   505     (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free (rls_,_) $ _ $ f_) =

   506       if id_rls rls = rls_

   507       then

   508         if f = f_ then Ass (m,f') else AssWeak (m,f')

   509       else NotAss

   511   | assod pt d (m as Detail_Set_Inst' (thy',put,sub,rls,f,(f',asm)))

   512     (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free (rls_,_) $ _ $ f_) =

   513       if id_rls rls = rls_

   514       then

   515         if f = f_ then Ass (m,f') else AssWeak (m,f')

   516       else NotAss

   518   | assod pt d (m as Rewrite_Set' (thy,put,rls,f,(f',asm)))

   519     (Const ("Script.Rewrite'_Set",_) $ Free (rls_,_) $ _ $ f_) =

   520       if id_rls rls = rls_

   521       then

   522         if f = f_ then Ass (m,f') else AssWeak (m,f')

   523       else NotAss

   525   | assod pt d (m as Detail_Set' (thy,put,rls,f,(f',asm)))

   526     (Const ("Script.Rewrite'_Set",_) $ Free (rls_,_) $ _ $ f_) =

   527       if id_rls rls = rls_

   528       then

   529         if f = f_ then Ass (m,f') else AssWeak (m,f')

   530       else NotAss

   532   | assod pt d (m as Calculate' (thy',op_,f,(f',thm'))) stac =

   533       (case stac of

   534 	       (Const ("Script.Calculate",_) $ Free (op__,_) $ f_) =>

   535 	         if op_ = op__

   536            then

   537 	           if f = f_ then Ass (m,f') else AssWeak (m,f')

   538 	         else NotAss

   539        | (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free(rls_,_) $_$f_)  =>

   540 	         if contains_rule (Calc (assoc_calc' op_ |> snd)) (assoc_rls rls_)

   541            then

   542 	           if f = f_ then Ass (m,f') else AssWeak (m,f')

   543 	         else NotAss

   544        | (Const ("Script.Rewrite'_Set",_) $ Free (rls_, _) $ _ $ f_) =>

   545 	         if contains_rule (Calc (assoc_calc' op_ |> snd)) (assoc_rls rls_)

   546            then

   547 	           if f = f_ then Ass (m,f') else AssWeak (m,f')

   548 	         else NotAss

   549        | _ => NotAss)

   551   | assod pt _ (m as Check_elementwise' (consts,_,(consts_chkd,_)))

   552     (Const ("Script.Check'_elementwise",_) $ consts' $ _) =

   553       if consts = consts'

   554       then Ass (m, consts_chkd)

   555       else NotAss

   557   | assod pt _ (m as Or_to_List' (ors, list)) (Const ("Script.Or'_to'_List",_) $ _) =

   558 	    Ass (m, list)

   560   | assod pt _ (m as Take' term) (Const ("Script.Take",_) $ _) =

   561 	    Ass (m, term)

   563   | assod pt _ (m as Substitute' (ro, erls, subte, f, f')) (Const ("Script.Substitute",_) $ _ $ t) =

   564 	    if f = t then Ass (m, f')

   565 	    else (*compare | applicable_in (p,p_) pt (m as Substitute sube)*)

   566 		    if foldl and_ (true, map contains_Var subte)

   567 		    then

   568 		      let val t' = subst_atomic (map HOLogic.dest_eq subte (*TODO subte2subst*)) t

   569 		      in if t = t' then error "assod: Substitute' not applicable to val of Expr"

   570 		         else Ass (Substitute' (ro, erls, subte, t, t'), t')

   571 		      end

   572 		    else (case rewrite_terms_ (Isac()) ro erls subte t of

   573 		         SOME (t', _) =>  Ass (Substitute' (ro, erls, subte, t, t'), t')

   574 		       | NONE => error "assod: Substitute' not applicable to val of Expr")

   576   | assod pt _ (m as Tac_ (thy,f,id,f')) (Const ("Script.Tac",_) $ Free (id',_)) =

   577       if id = id'

   578       then Ass (m, ((term_of o the o (parse thy)) f'))

   579       else NotAss

   581     (*compare "| stac2tac_ thy (Const ("Script.SubProblem",_)"*)

   582   | assod pt _ (Subproblem' ((domID,pblID,metID),_,_,_,_,f))

   583 	  (stac as Const ("Script.SubProblem",_) $ (Const ("Product_Type.Pair",_) $

   584 		 Free (dI',_) $ (Const ("Product_Type.Pair",_) $ pI' $ mI')) $ ags') =

   585       let

   586         val dI = ((implode o drop_last(*.."'"*) o Symbol.explode) dI')(*^""*);

   587         val thy = maxthy (assoc_thy dI) (rootthy pt);

   588 	      val pI = ((map (de_esc_underscore o free2str)) o isalist2list) pI';

   589 	      val mI = ((map (de_esc_underscore o free2str)) o isalist2list) mI';

   590 	      val ags = isalist2list ags';

   591 	      val (pI, pors, mI) =

   592 	        if mI = ["no_met"]

   593 	        then

   594             let

   595               val pors = (match_ags thy ((#ppc o get_pbt) pI) ags)

   596 			          handle ERROR "actual args do not match formal args"

   597 				        => (match_ags_msg pI stac ags(*raise exn*);[]);

   598 		          val pI' = refine_ori' pors pI;

   599 		        in (pI', pors (*refinement over models with diff.prec only*),

   600 		            (hd o #met o get_pbt) pI')

   601             end

   602 	        else (pI, (match_ags thy ((#ppc o get_pbt) pI) ags)

   603 		        handle ERROR "actual args do not match formal args"

   604 			      => (match_ags_msg pI stac ags(*raise exn*);[]), mI);

   605         val (fmz_, vals) = oris2fmz_vals pors;

   606 	      val {cas, ppc, thy,...} = get_pbt pI

   607 	      val dI = theory2theory' thy (*take dI from _refined_ pbl*)

   608 	      val dI = theory2theory' (maxthy (assoc_thy dI) (rootthy pt))

   609 	      val ctxt = dI |> Thy_Info.get_theory |> Proof_Context.init_global

   610           |> declare_constraints' vals

   611 	      val hdl =

   612           case cas of

   613 		        NONE => pblterm dI pI

   614 		      | SOME t => subst_atomic ((vars_of_pbl_' ppc) ~~~ vals) t

   615         val f = subpbl (strip_thy dI) pI

   616       in

   617         if domID = dI andalso pblID = pI

   618         then Ass (Subproblem' ((dI, pI, mI), pors, hdl, fmz_, ctxt, f), f)

   619         else NotAss

   620       end

   622   | assod pt d m t =

   623       (if (!trace_script)

   624        then tracing("@@@ the 'tac_' proposed to apply does NOT match the leaf found in the script:\n"^

   625 		     "@@@ tac_ = "^(tac_2str m))

   626        else ();

   627        NotAss);

   629 fun tac_2tac (Refine_Tacitly' (pI,_,_,_,_)) = Refine_Tacitly pI

   630   | tac_2tac (Model_Problem' (pI,_,_))      = Model_Problem

   631   | tac_2tac (Add_Given' (t,_))             = Add_Given t

   632   | tac_2tac (Add_Find' (t,_))              = Add_Find t

   633   | tac_2tac (Add_Relation' (t,_))          = Add_Relation t

   635   | tac_2tac (Specify_Theory' dI)           = Specify_Theory dI

   636   | tac_2tac (Specify_Problem' (dI,_))      = Specify_Problem dI

   637   | tac_2tac (Specify_Method' (dI,_,_))     = Specify_Method dI

   639   | tac_2tac (Rewrite' (thy,rod,erls,put,(thmID,thm),f,(f',asm))) = Rewrite (thmID,thm)

   641   | tac_2tac (Rewrite_Inst' (thy,rod,erls,put,sub,(thmID,thm),f,(f',asm)))=

   642       Rewrite_Inst (subst2subs sub,(thmID,thm))

   644   | tac_2tac (Rewrite_Set' (thy,put,rls,f,(f',asm))) = Rewrite_Set (id_rls rls)

   645   | tac_2tac (Detail_Set' (thy,put,rls,f,(f',asm))) = Detail_Set (id_rls rls)

   647   | tac_2tac (Rewrite_Set_Inst' (thy,put,sub,rls,f,(f',asm))) =

   648       Rewrite_Set_Inst (subst2subs sub,id_rls rls)

   649   | tac_2tac (Detail_Set_Inst' (thy,put,sub,rls,f,(f',asm))) =

   650       Detail_Set_Inst (subst2subs sub,id_rls rls)

   652   | tac_2tac (Calculate' (thy,op_,t,(t',thm'))) = Calculate (op_)

   654   | tac_2tac (Check_elementwise' (consts,pred,consts')) = Check_elementwise pred

   656   | tac_2tac (Or_to_List' _) = Or_to_List

   657   | tac_2tac (Take' term) = Take (term2str term)

   658   | tac_2tac (Substitute' (_, _, subte, t, res)) = Substitute (subte2sube subte)

   660   | tac_2tac (Tac_ (_,f,id,f')) = Tac id

   662   | tac_2tac (Subproblem' ((domID, pblID, _), _, _, _,_ ,_)) = Subproblem (domID, pblID)

   663   | tac_2tac (Check_Postcond' (pblID, _)) = Check_Postcond pblID

   664   | tac_2tac Empty_Tac_ = Empty_Tac

   665   | tac_2tac m =

   666       error ("tac_2tac: not impl. for "^(tac_2str m));

   671 (** decompose tac_ to a rule and to (lhs,rhs)

   672     unly needed                          --- **)

   674 val idT = Type ("Script.ID",[]);

   675 (*val tt = (term_of o the o (parse thy)) "square_equation_left::ID";

   676 type_of tt = idT;

   677 val it = true : bool

   678 *)

   680 fun make_rule thy t =

   681   let val ct = cterm_of thy (Trueprop $ t)

   682   in Thm (term_to_string''' thy (term_of ct), make_thm ct) end;

   684 (* val (Rewrite_Inst'(thy',rod,rls,put,subs,(thmID,thm),f,(f',asm)))=m;

   685    *)

   686 (*decompose tac_ to a rule and to (lhs,rhs) for ets FIXME.12.03: obsolete!

   687  NOTE.12.03: also used for msg 'not locatable' ?!: 'Subproblem' missing !!!

   688 WN0508 only use in tac_2res, which uses only last return-value*)

   689 fun rep_tac_ (Rewrite_Inst'

   690 		 (thy',rod,rls,put,subs,(thmID,thm),f,(f',asm))) =

   691   let val fT = type_of f;

   692     val b = if put then @{term True} else @{term False};

   693     val sT = (type_of o fst o hd) subs;

   694     val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))

   695       (map HOLogic.mk_prod subs);

   696     val sT' = type_of subs';

   697     val lhs = Const ("Script.Rewrite'_Inst",[sT',idT,(*fT*)bool,fT] ---> fT)

   698       $ subs' $ Free (thmID,idT) $ b $ f;

   699   in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end

   700 (*Fehlersuche 25.4.01

   701 (a)----- als String zusammensetzen:

   702 ML> term2str f;

   703 val it = "d_d x #4 + d_d x (x ^^^ #2 + #3 * x)" : string

   704 ML> term2str f';

   705 val it = "#0 + d_d x (x ^^^ #2 + #3 * x)" : string

   706 ML> subs;

   707 val it = [(Free ("bdv","RealDef.real"),Free ("x","RealDef.real"))] : subst

   708 > val tt = (term_of o the o (parse thy))

   709   "(Rewrite_Inst[(bdv,x)]diff_const False(d_d x #4 + d_d x (x ^^^ #2 + #3 * x)))=(#0 + d_d x (x ^^^ #2 + #3 * x))";

   710 > atomty tt;

   711 ML> tracing (term2str tt);

   712 (Rewrite_Inst [(bdv,x)] diff_const False d_d x #4 + d_d x (x ^^^ #2 + #3 * x)) =

   713  #0 + d_d x (x ^^^ #2 + #3 * x)

   715 (b)----- laut rep_tac_:

   716 > val ttt=HOLogic.mk_eq (lhs,f');

   717 > atomty ttt;

   720 (*Fehlersuche 1-2Monate vor 4.01:*)

   721 > val tt = (term_of o the o (parse thy))

   722   "Rewrite_Inst[(bdv,x)]square_equation_left True(x=#1+#2)";

   723 > atomty tt;

   725 > val f = (term_of o the o (parse thy)) "x=#1+#2";

   726 > val f' = (term_of o the o (parse thy)) "x=#3";

   727 > val subs = [((term_of o the o (parse thy)) "bdv",

   728 	       (term_of o the o (parse thy)) "x")];

   729 > val sT = (type_of o fst o hd) subs;

   730 > val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))

   731 			      (map HOLogic.mk_prod subs);

   732 > val sT' = type_of subs';

   733 > val lhs = Const ("Script.Rewrite'_Inst",[sT',idT,fT,fT] ---> fT)

   734   $ subs' $ Free (thmID,idT) $ @{term True} $ f;

   735 > lhs = tt;

   736 val it = true : bool

   737 > rep_tac_ (Rewrite_Inst'

   738 	       ("Script","tless_true","eval_rls",false,subs,

   739 		("square_equation_left",""),f,(f',[])));

   740 *)

   741   | rep_tac_ (Rewrite' (thy',rod,rls,put,(thmID,thm),f,(f',asm)))=

   742   let

   743     val fT = type_of f;

   744     val b = if put then @{term True} else @{term False};

   745     val lhs = Const ("Script.Rewrite",[idT,HOLogic.boolT,fT] ---> fT)

   746       $ Free (thmID,idT) $ b $ f;

   747   in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end

   748 (*

   749 > val tt = (term_of o the o (parse thy)) (*____   ____..test*)

   750   "Rewrite square_equation_left True (x=#1+#2) = (x=#3)";

   752 > val f = (term_of o the o (parse thy)) "x=#1+#2";

   753 > val f' = (term_of o the o (parse thy)) "x=#3";

   754 > val Thm (id,thm) =

   755   rep_tac_ (Rewrite'

   756    ("Script","tless_true","eval_rls",false,

   757     ("square_equation_left",""),f,(f',[])));

   758 > val SOME ct = parse thy

   759   "Rewrite square_equation_left True (x=#1+#2)";

   760 > rewrite_ Script.thy tless_true eval_rls true thm ct;

   761 val it = SOME ("x = #3",[]) : (cterm * cterm list) option

   762 *)

   763   | rep_tac_ (Rewrite_Set_Inst'

   764 		 (thy',put,subs,rls,f,(f',asm))) =

   765     (e_rule, (e_term, f'))

   766 (*WN050824: type error ...

   767   let val fT = type_of f;

   768     val sT = (type_of o fst o hd) subs;

   769     val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))

   770       (map HOLogic.mk_prod subs);

   771     val sT' = type_of subs';

   772     val b = if put then @{term True} else @{term False}

   773     val lhs = Const ("Script.Rewrite'_Set'_Inst",

   774 		     [sT',idT,fT,fT] ---> fT)

   775       $ subs' $ Free (id_rls rls,idT) $ b $ f;

   776   in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end*)

   777 (* ... vals from Rewrite_Inst' ...

   778 > rep_tac_ (Rewrite_Set_Inst'

   779 	       ("Script",false,subs,

   780 		"isolate_bdv",f,(f',[])));

   781 *)

   782 (* val (Rewrite_Set' (thy',put,rls,f,(f',asm)))=m;

   783 *)

   784   | rep_tac_ (Rewrite_Set' (thy',put,rls,f,(f',asm)))=

   785   let val fT = type_of f;

   786     val b = if put then @{term True} else @{term False};

   787     val lhs = Const ("Script.Rewrite'_Set",[idT,bool,fT] ---> fT)

   788       $ Free (id_rls rls,idT) $ b $ f;

   789   in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end

   790 (* 13.3.01:

   791 val thy = assoc_thy thy';

   792 val t = HOLogic.mk_eq (lhs,f');

   793 make_rule thy t;

   794 --------------------------------------------------

   795 val lll = (term_of o the o (parse thy))

   796   "Rewrite_Set SqRoot_simplify False (d_d x (x ^^^ #2 + #3 * x) + d_d x #4)";

   798 --------------------------------------------------

   799 > val f = (term_of o the o (parse thy)) "x=#1+#2";

   800 > val f' = (term_of o the o (parse thy)) "x=#3";

   801 > val Thm (id,thm) =

   802   rep_tac_ (Rewrite_Set'

   803    ("Script",false,"SqRoot_simplify",f,(f',[])));

   804 val id = "(Rewrite_Set SqRoot_simplify True x = #1 + #2) = (x = #3)" : string

   805 val thm = "(Rewrite_Set SqRoot_simplify True x = #1 + #2) = (x = #3)" : thm

   806 *)

   807   | rep_tac_ (Calculate' (thy',op_,f,(f',thm')))=

   808   let val fT = type_of f;

   809     val lhs = Const ("Script.Calculate",[idT,fT] ---> fT)

   810       $ Free (op_,idT) $ f

   811   in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end

   812 (*

   813 > val lhs'=(term_of o the o (parse thy))"Calculate plus (#1+#2)";

   814   ... test-root-equ.sml: calculate ...

   815 > val Appl m'=applicable_in p pt (Calculate "PLUS");

   816 > val (lhs,_)=tac_2etac m';

   817 > lhs'=lhs;

   818 val it = true : bool*)

   819   | rep_tac_ (Check_elementwise' (t,str,(t',asm)))  = (Erule, (e_term, t'))

   820   | rep_tac_ (Subproblem' (_, _, _, _, _, t'))  = (Erule, (e_term, t'))

   821   | rep_tac_ (Take' (t'))  = (Erule, (e_term, t'))

   822   | rep_tac_ (Substitute' (_, _, subst,t,t'))  = (Erule, (t, t'))

   823   | rep_tac_ (Or_to_List' (t, t'))  = (Erule, (t, t'))

   824   | rep_tac_ m = error ("rep_tac_: not impl.for "^

   825 				 (tac_2str m));

   827 (*"N.3.6.03------

   828 fun tac_2rule m = (fst o rep_tac_) m;

   829 fun tac_2etac m = (snd o rep_tac_) m;

   830 fun tac_2tac m = (fst o snd o rep_tac_) m;*)

   831 fun tac_2res m = (snd o snd o rep_tac_) m;(*ONLYuse of rep_tac_

   832 					        FIXXXXME: simplify rep_tac_*)

   835 (* handle a leaf at the end of recursive descent:

   836    a leaf is either a tactic or an 'expr' in "let v = expr"

   837    where "expr" does not contain a tactic.

   838    Handling a leaf comprises

   839    (1) 'subst_stacexpr' substitute env and complete curried tactic

   840    (2) rewrite the leaf by 'srls'

   841 *)

   842 fun handle_leaf call thy srls E a v t =

   843       (*WN050916 'upd_env_opt' is a blind copy from previous version*)

   844        case subst_stacexpr E a v t of

   845 	       (a', STac stac) => (*script-tactic*)

   846 	         let val stac' =

   847                eval_listexpr_ (assoc_thy thy) srls (subst_atomic (upd_env_opt E (a,v)) stac)

   848 	         in

   849              (if (!trace_script)

   850 	            then tracing ("@@@ "^call^" leaf '"^term2str t^"' ---> STac '"^term2str stac'^"'")

   851 	            else ();

   852 	            (a', STac stac'))

   853 	         end

   854        | (a', Expr lexpr) => (*leaf-expression*)

   855 	         let val lexpr' =

   856                eval_listexpr_ (assoc_thy thy) srls (subst_atomic (upd_env_opt E (a,v)) lexpr)

   857 	         in

   858              (if (!trace_script)

   859 	            then tracing("@@@ "^call^" leaf '"^term2str t^"' ---> Expr '"^term2str lexpr'^"'")

   860 	            else ();

   861 	            (a', Expr lexpr')) (*lexpr' is the value of the Expr*)

   862 	         end;

   865 (** locate an applicable stactic in a script **)

   867 datatype assoc = (*ExprVal in the sense of denotational semantics*)

   868   Assoc of     (*the stac is associated, strongly or weakly*)

   869   scrstate *       (*the current; returned for next_tac etc. outside ass* *)

   870   (step list)    (*list of steps done until associated stac found;

   871 	           initiated with the data for doing the 1st step,

   872                    thus the head holds these data further on,

   873 		   while the tail holds steps finished (incl.scrstate in ptree)*)

   874 | NasApp of   (*stac not associated, but applicable, ptree-node generated*)

   875   scrstate * (step list)

   876 | NasNap of     (*stac not associated, not applicable, nothing generated;

   877 	         for distinction in Or, for leaving iterations, leaving Seq,

   878 		 evaluate scriptexpressions*)

   879   term * env;

   880 fun assoc2str (Assoc     _) = "Assoc"

   881   | assoc2str (NasNap  _) = "NasNap"

   882   | assoc2str (NasApp _) = "NasApp";

   885 datatype asap = (*arg. of assy _only_ for distinction w.r.t. Or*)

   886   Aundef   (*undefined: set only by (topmost) Or*)

   887 | AssOnly  (*do not execute appl stacs - there could be an associated

   888 	     in parallel Or-branch*)

   889 | AssGen;  (*no Ass(Weak) found within Or, thus

   890              search for _applicable_ stacs, execute and generate pt*)

   891 (*this constructions doesnt allow arbitrary nesting of Or !!!*)

   894 (*assy, ass_up, astep_up scan for locate_gen in a script.

   895   search is clearly separated into (1)-(2):

   896   (1) assy is recursive descent;

   897   (2) ass_up resumes interpretation at a location somewhere in the script;

   898       astep_up does only get to the parentnode of the scriptexpr.

   899   consequence:

   900   * call of (2) means _always_ that in this branch below

   901     there was an appl.stac (Repeat, Or e1, ...) found by the previous step.

   902 *)

   903 fun assy ya (is as (E,l,a,v,S,b),ss) (Const ("HOL.Let",_) $ e $ (Abs (id,T,body))) =

   904       (case assy ya ((E , l@[L,R], a,v,S,b),ss) e of

   905 	       NasApp ((E',l,a,v,S,bb),ss) =>

   906 	         let

   907              val id' = mk_Free (id, T);

   908 	           val E' = upd_env E' (id', v);

   909 	         in assy ya ((E', l@[R,D], a,v,S,b),ss) body end

   910        | NasNap (v,E) =>

   911 	         let

   912              val id' = mk_Free (id, T);

   913 	           val E' = upd_env E (id', v);

   914 	         in assy ya ((E', l@[R,D], a,v,S,b),ss) body end

   915        | ay => ay)

   917   | assy (ya as (thy,ctxt,srls,_,_)) ((E,l,_,v,S,b),ss) (Const ("Script.While",_) $ c $ e $ a) =

   918       (if eval_true_ thy srls (subst_atomic (upd_env E (a,v)) c)

   919        then assy ya ((E, l@[L,R], SOME a,v,S,b),ss)  e

   920        else NasNap (v, E))

   921   | assy (ya as (thy,ctxt,srls,_,_)) ((E,l,a,v,S,b),ss) (Const ("Script.While",_) $ c $ e) =

   922       (if eval_true_ thy srls (subst_atomic (upd_env_opt E (a,v)) c)

   923        then assy ya ((E, l@[R], a,v,S,b),ss) e

   924        else NasNap (v, E))

   926   | assy (ya as (thy,ctxt,srls,_,_)) ((E,l,a,v,S,b),ss) (Const ("If",_) $ c $ e1 $ e2) =

   927       (if eval_true_ thy srls (subst_atomic (upd_env_opt E (a,v)) c)

   928        then assy ya ((E, l@[L,R], a,v,S,b),ss) e1

   929        else assy ya ((E, l@[  R], a,v,S,b),ss) e2)

   931   | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Try",_) $ e $ a) =

   932       (case assy ya ((E, l@[L,R], SOME a,v,S,b),ss) e of

   933          ay => ay)

   934   | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Try",_) $ e) =

   935       (case assy ya ((E, l@[R], a,v,S,b),ss) e of

   936          ay => ay)

   938   | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Seq",_) $e1 $ e2 $ a) =

   939       (case assy ya ((E, l@[L,L,R], SOME a,v,S,b),ss) e1 of

   940 	       NasNap (v, E) => assy ya ((E, l@[L,R], SOME a,v,S,b),ss) e2

   941        | NasApp ((E,_,_,v,_,_),ss) => assy ya ((E, l@[L,R], SOME a,v,S,b),ss) e2

   942        | ay => ay)

   943   | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Seq",_) $e1 $ e2) =

   944       (case assy ya ((E, l@[L,R], a,v,S,b),ss) e1 of

   945 	       NasNap (v, E) => assy ya ((E, l@[R], a,v,S,b),ss) e2

   946        | NasApp ((E,_,_,v,_,_),ss) => assy ya ((E, l@[R], a,v,S,b),ss) e2

   947        | ay => ay)

   949   | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Repeat",_) $ e $ a) =

   950       assy ya ((E,(l@[L,R]),SOME a,v,S,b),ss) e

   951   | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Repeat",_) $ e) =

   952       assy ya ((E,(l@[R]),a,v,S,b),ss) e

   954   | assy (y,x,s,sc,Aundef) ((E,l,_,v,S,b),ss) (Const ("Script.Or",_) $e1 $ e2 $ a) =

   955       (case assy (y,x,s,sc,AssOnly) ((E,(l@[L,L,R]),SOME a,v,S,b),ss) e1 of

   956 	       NasNap (v, E) =>

   957 	         (case assy (y,x,s,sc,AssOnly) ((E,(l@[L,R]),SOME a,v,S,b),ss) e2 of

   958 	            NasNap (v, E) =>

   959 	              (case assy (y,x,s,sc,AssGen) ((E,(l@[L,L,R]),SOME a,v,S,b),ss) e1 of

   960 	                 NasNap (v, E) =>

   961 	                   assy (y,x,s,sc,AssGen) ((E, (l@[L,R]), SOME a,v,S,b),ss) e2

   962 	               | ay => ay)

   963 	          | ay =>(ay))

   964        | NasApp _ => error ("assy: FIXXXME ///must not return NasApp///")

   965        | ay => (ay))

   966   | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Or",_) $e1 $ e2) =

   967       (case assy ya ((E,(l@[L,R]),a,v,S,b),ss) e1 of

   968 	       NasNap (v, E) => assy ya ((E,(l@[R]),a,v,S,b),ss) e2

   969        | ay => (ay))

   971     (*here is not a tactical like TRY etc, but a tactic creating a step in calculation*)

   972   | assy (thy',ctxt,sr,d,ap) (is as (E,l,a,v,S,b), (m,_,pt,(p,p_),c)::ss) t =

   973       (case handle_leaf "locate" thy' sr E a v t of

   974 	       (a', Expr s) =>

   975 	          (NasNap (eval_listexpr_ (assoc_thy thy') sr

   976 			     (subst_atomic (upd_env_opt E (a',v)) t), E))

   977        | (a', STac stac) =>

   978 	         let

   979              val p' =

   980                case p_ of Frm => p

   981                | Res => lev_on p

   982 			         | _ => error ("assy: call by " ^ pos'2str (p,p_));

   983 	         in

   984              case assod pt d m stac of

   985 	             Ass (m,v') =>

   986 	               let val (p'',c',f',pt') =

   987                      generate1 (assoc_thy thy') m (ScrState (E,l,a',v',S,true), ctxt) (p',p_) pt;

   988 	               in Assoc ((E,l,a',v',S,true), (m,f',pt',p'',c @ c')::ss) end

   989              | AssWeak (m,v') =>

   990 	               let val (p'',c',f',pt') =

   991                    generate1 (assoc_thy thy') m (ScrState (E,l,a',v',S,false), ctxt) (p',p_) pt;

   992 	               in Assoc ((E,l,a',v',S,false), (m,f',pt',p'',c @ c')::ss) end

   993              | NotAss =>

   994                  (case ap of   (*switch for Or: 1st AssOnly, 2nd AssGen*)

   995                     AssOnly => (NasNap (v, E))

   996                   | gen =>

   997                       (case applicable_in (p,p_) pt (stac2tac pt (assoc_thy thy') stac) of

   998 			                   Appl m' =>

   999 			                     let

  1000                              val is = (E,l,a',tac_2res m',S,false(*FIXXXME.WN0?*))

  1001 			                       val (p'',c',f',pt') =

  1002 			                         generate1 (assoc_thy thy') m' (ScrState is, ctxt) (p',p_) pt;

  1003 			                     in NasApp (is,(m,f',pt',p'',c @ c')::ss) end

  1004 		                   | Notappl _ => (NasNap (v, E))

  1005 			                )

  1006 		             )

  1007            end);

  1009 fun ass_up (ys as (y,ctxt,s,Prog sc,d)) (is as (E,l,a,v,S,b),ss) (Const ("HOL.Let",_) $ _) =

  1010       let

  1011         (*val _= tracing("### ass_up1 Let$e: is=")

  1012 	      val _= tracing(istate2str (ScrState is))*)

  1013 	      val l = drop_last l; (*comes from e, goes to Abs*)

  1014         val (Const ("HOL.Let",_) $ e $ (Abs (i,T,body))) = go l sc;

  1015         val i = mk_Free (i, T);

  1016         val E = upd_env E (i, v);

  1017         (*val _=tracing("### ass_up2 Let$e: E="^(subst2str E));*)

  1018        in case assy (y,ctxt,s,d,Aundef) ((E, l@[R,D], a,v,S,b),ss) body of

  1019 	          Assoc iss => Assoc iss

  1020 	        | NasApp iss => astep_up ys iss

  1021 	        | NasNap (v, E) => astep_up ys ((E,l,a,v,S,b),ss) end

  1023   | ass_up ys (iss as (is,_)) (Abs (_,_,_)) =

  1024       ((*tracing("### ass_up  Abs: is=");

  1025       tracing(istate2str (ScrState is));*)

  1026       astep_up ys iss) (*TODO 5.9.00: env ?*)

  1028   | ass_up ys (iss as (is,_)) (Const ("HOL.Let",_) $ e $ (Abs (i,T,b)))=

  1029       ((*tracing("### ass_up Let $ e $ Abs: is=");

  1030       tracing(istate2str (ScrState is));*)

  1031       astep_up ys iss) (*TODO 5.9.00: env ?*)

  1033   | ass_up ysa iss (Const ("Script.Seq",_) $ _ $ _ $ _) =

  1034       astep_up ysa iss (*all has been done in (*2*) below*)

  1036   | ass_up ysa iss (Const ("Script.Seq",_) $ _ $ _) =

  1037       astep_up ysa iss (*2*: comes from e2*)

  1039   | ass_up (ysa as (y,ctxt,s,Prog sc,d)) (is as (E,l,a,v,S,b),ss)

  1040 	   (Const ("Script.Seq",_) $ _ ) = (*2*: comes from e1, goes to e2*)

  1041       let

  1042         val up = drop_last l;

  1043         val Const ("Script.Seq",_) $ _ $ e2 = go up sc

  1044         (*val _= tracing("### ass_up Seq$e: is=")

  1045         val _= tracing(istate2str (ScrState is))*)

  1046       in

  1047         case assy (y,ctxt,s,d,Aundef) ((E, up@[R], a,v,S,b),ss) e2 of

  1048           NasNap (v,E) => astep_up ysa ((E,up,a,v,S,b),ss)

  1049         | NasApp iss => astep_up ysa iss

  1050         | ay => ay end

  1052   | ass_up ysa iss (Const ("Script.Try",_) $ e $ _) =

  1053     astep_up ysa iss

  1055   (* val (ysa, iss, (Const ("Script.Try",_) $ e)) =

  1056 	 (ys,  ((E,up,a,v,S,b),ss), (go up sc));

  1057      *)

  1058   | ass_up ysa iss (Const ("Script.Try",_) $ e) =

  1059     ((*tracing("### ass_up Try $ e");*)

  1060      astep_up ysa iss)

  1062   | ass_up (ys as (y,ctxt,s,_,d)) ((E,l,_,v,S,b),ss)

  1063 	   (*(Const ("Script.While",_) $ c $ e $ a) = WN050930 blind fix*)

  1064 	   (t as Const ("Script.While",_) $ c $ e $ a) =

  1065     ((*tracing("### ass_up: While c= "^

  1066 	     (term2str (subst_atomic (upd_env E (a,v)) c)));*)

  1067      if eval_true_ y s (subst_atomic (upd_env E (a,v)) c)

  1068     then (case assy (y,ctxt,s,d,Aundef) ((E, l@[L,R], SOME a,v,S,b),ss) e of

  1069        NasNap (v,E') => astep_up ys ((E',l, SOME a,v,S,b),ss)

  1070      | NasApp ((E',l,a,v,S,b),ss) =>

  1071        ass_up ys ((E',l,a,v,S,b),ss) t (*WN050930 't' was not assigned*)

  1072      | ay => ay)

  1073     else astep_up ys ((E,l, SOME a,v,S,b),ss)

  1074 	 )

  1076   | ass_up (ys as (y,ctxt,s,_,d)) ((E,l,a,v,S,b),ss)

  1077 	   (*(Const ("Script.While",_) $ c $ e) = WN050930 blind fix*)

  1078 	   (t as Const ("Script.While",_) $ c $ e) =

  1079     if eval_true_ y s (subst_atomic (upd_env_opt E (a,v)) c)

  1080     then (case assy (y,ctxt,s,d,Aundef) ((E, l@[R], a,v,S,b),ss) e of

  1081        NasNap (v,E') => astep_up ys ((E',l, a,v,S,b),ss)

  1082      | NasApp ((E',l,a,v,S,b),ss) =>

  1083        ass_up ys ((E',l,a,v,S,b),ss) t (*WN050930 't' was not assigned*)

  1084      | ay => ay)

  1085     else astep_up ys ((E,l, a,v,S,b),ss)

  1087   | ass_up y iss (Const ("If",_) $ _ $ _ $ _) = astep_up y iss

  1089   | ass_up (ys as (y,ctxt,s,_,d)) ((E,l,_,v,S,b),ss)

  1090 	   (t as Const ("Script.Repeat",_) $ e $ a) =

  1091   (case assy (y,ctxt,s,d, Aundef) ((E, (l@[L,R]), SOME a,v,S,b),ss) e of

  1092        NasNap (v,E') => astep_up ys ((E',l, SOME a,v,S,b),ss)

  1093      | NasApp ((E',l,a,v,S,b),ss) =>

  1094        ass_up ys ((E',l,a,v,S,b),ss) t

  1095      | ay => ay)

  1097   | ass_up (ys as (y,ctxt,s,_,d)) (is as ((E,l,a,v,S,b),ss))

  1098 	   (t as Const ("Script.Repeat",_) $ e) =

  1099   (case assy (y,ctxt,s,d,Aundef) ((E, (l@[R]), a,v,S,b),ss) e of

  1100        NasNap (v', E') => astep_up ys ((E',l,a,v',S,b),ss)

  1101      | NasApp ((E',l,a,v',S,bb),ss) =>

  1102        ass_up ys ((E',l,a,v',S,b),ss) t

  1103      | ay => ay)

  1105   | ass_up y iss (Const ("Script.Or",_) $ _ $ _ $ _) = astep_up y iss

  1107   | ass_up y iss (Const ("Script.Or",_) $ _ $ _) = astep_up y iss

  1109   | ass_up y ((E,l,a,v,S,b),ss) (Const ("Script.Or",_) $ _ ) =

  1110     astep_up y ((E, (drop_last l), a,v,S,b),ss)

  1112   | ass_up y iss t =

  1113     error ("ass_up not impl for t= "^(term2str t))

  1115 and astep_up (ys as (_,_,_,Prog sc,_)) ((E,l,a,v,S,b),ss) =

  1116   if 1 < length l

  1117     then

  1118       let val up = drop_last l;

  1119 	  (*val _= tracing("### astep_up: E= "^env2str E);*)

  1120       in ass_up ys ((E,up,a,v,S,b),ss) (go up sc) end

  1121   else (NasNap (v, E))

  1122 ;

  1128 (* use"ME/script.sml";

  1129    use"script.sml";

  1130  term2str (go up sc);

  1132    *)

  1134 (*check if there are tacs for rewriting only*)

  1135 fun rew_only ([]:step list) = true

  1136   | rew_only (((Rewrite' _          ,_,_,_,_))::ss) = rew_only ss

  1137   | rew_only (((Rewrite_Inst' _     ,_,_,_,_))::ss) = rew_only ss

  1138   | rew_only (((Rewrite_Set' _      ,_,_,_,_))::ss) = rew_only ss

  1139   | rew_only (((Rewrite_Set_Inst' _ ,_,_,_,_))::ss) = rew_only ss

  1140   | rew_only (((Calculate' _        ,_,_,_,_))::ss) = rew_only ss

  1141   | rew_only (((Begin_Trans' _      ,_,_,_,_))::ss) = rew_only ss

  1142   | rew_only (((End_Trans' _        ,_,_,_,_))::ss) = rew_only ss

  1143   | rew_only _ = false;

  1146 datatype locate =

  1147   Steps of istate      (*producing hd of step list (which was latest)

  1148 	                 for next_tac, for reporting Safe|Unsafe to DG*)

  1149 	   * step      (*(scrstate producing this step is in ptree !)*)

  1150 		 list  (*locate_gen may produce intermediate steps*)

  1151 | NotLocatable;        (*no (m Ass m') or (m AssWeak m') found*)

  1155 (* locate_gen tries to locate an input tac m in the script.

  1156    pursuing this goal the script is executed until an (m' equiv m) is found,

  1157    or the end of the script

  1158 args

  1159    m   : input by the user, already checked by applicable_in,

  1160          (to be searched within Or; and _not_ an m doing the step on ptree !)

  1161    p,pt: (incl ets) at the time of input

  1162    scr : the script

  1163    d   : canonical simplifier for locating Take, Substitute, Subproblems etc.

  1164    ets : ets at the time of input

  1165    l   : the location (in scr) of the stac which generated the current formula

  1166 returns

  1167    Steps: pt,p (incl. ets) with m done

  1168           pos' list of proofobjs cut (from generate)

  1169           safe: implied from last proofobj

  1170 	  ets:

  1171    ///ToDo : ets contains a list of tacs to be done before m can be done

  1172           NOT IMPL. -- "error: do other step before"

  1173    NotLocatable: thus generate_hard

  1174 *)

  1175 fun locate_gen (thy',g_) (Rewrite'(_,ro,er,pa,(id,str),f,_)) (pt,p)

  1176 	  (Rfuns {locate_rule=lo,...}, d) (RrlsState (_,f'',rss,rts), ctxt) =

  1177       (case lo rss f (Thm (id, mk_thm (assoc_thy thy') str)) of

  1178 	       [] => NotLocatable

  1179        | rts' =>

  1180 	         Steps (rts2steps [] ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa)) rts'))

  1182   | locate_gen (thy',srls) (m:tac_) ((pt,p):ptree * pos')

  1183 	  (scr as Prog (h $ body),d) (ScrState (E,l,a,v,S,b), ctxt)  =

  1184       let val thy = assoc_thy thy';

  1185       in

  1186         case if l = [] orelse ((*init.in solve..Apply_Method...*)

  1187 			         (last_elem o fst) p = 0 andalso snd p = Res)

  1188 	           then (assy (thy',ctxt,srls,d,Aundef) ((E,[R],a,v,S,b), [(m,EmptyMout,pt,p,[])]) body)

  1189 	           else (astep_up (thy',ctxt,srls,scr,d) ((E,l,a,v,S,b), [(m,EmptyMout,pt,p,[])]) ) of

  1190 	        Assoc (iss as (is as (_,_,_,_,_,strong_ass), ss as ((m',f',pt',p',c')::_))) =>

  1191 	          (if strong_ass

  1192              then

  1193               (Steps (ScrState is, ss))

  1194 	         else

  1195                if rew_only ss (*andalso 'not strong_ass'= associated weakly*)

  1196 	             then

  1197                  let

  1198                    val (po,p_) = p

  1199                    val po' = case p_ of Frm => po | Res => lev_on po

  1200                    val (p'',c'',f'',pt'') =

  1201 		                 generate1 thy m (ScrState is, ctxt) (po',p_) pt;

  1202 	               in Steps (ScrState is, [(m, f'',pt'',p'',c'')]) end

  1203 	             else Steps (ScrState is, ss))

  1205         | NasApp _ => NotLocatable

  1206         | err => error ("not-found-in-script: NotLocatable from " ^ PolyML.makestring err)      end

  1208   | locate_gen _ m _ (sc,_) (is, _) =

  1209       error ("locate_gen: wrong arguments,\n tac= " ^ tac_2str m ^ ",\n " ^

  1210 		    "scr= " ^ scr2str sc ^ ",\n istate= " ^ istate2str is);

  1212 (** find the next stactic in a script **)

  1214 datatype appy =  (*ExprVal in the sense of denotational semantics*)

  1215     Appy of      (*applicable stac found, search stalled*)

  1216     tac_ *       (*tac_ associated (fun assod) with stac*)

  1217     scrstate     (*after determination of stac WN.18.8.03*)

  1218   | Napp of      (*stac found was not applicable;

  1219 	           this mode may become Skip in Repeat, Try and Or*)

  1220     env (*stack*)  (*popped while nxt_up*)

  1221   | Skip of      (*for restart after Appy, for leaving iterations,

  1222 	           for passing the value of scriptexpressions,

  1223 		   and for finishing the script successfully*)

  1224     term * env (*stack*);

  1226 (*appy, nxt_up, nstep_up scanning for next_tac.

  1227   search is clearly separated into (1)-(2):

  1228   (1) appy is recursive descent;

  1229   (2) nxt_up resumes interpretation at a location somewhere in the script;

  1230       nstep_up does only get to the parentnode of the scriptexpr.

  1231   consequence:

  1232   * call of (2) means _always_ that in this branch below

  1233     there was an applicable stac (Repeat, Or e1, ...)

  1234 *)

  1237 datatype appy_ = (*as argument in nxt_up, nstep_up, from appy*)

  1238   (* Appy          is only (final) returnvalue, not argument during search *)

  1239      Napp_       (*ev. detects 'script is not appropriate for this example'*)

  1240    | Skip_;      (*detects 'script successfully finished'

  1241 		               also used as init-value for resuming; this works,

  1242 	                 because 'nxt_up Or e1' treats as Appy*)

  1244 fun appy thy ptp E l (t as Const ("HOL.Let",_) $ e $ (Abs (i,T,b))) a v =

  1245       (case appy thy ptp E (l@[L,R]) e a v of

  1246          Skip (res, E) =>

  1247            let val E' = upd_env E (Free (i,T), res);

  1248            in appy thy ptp E' (l@[R,D]) b a v end

  1249        | ay => ay)

  1251   | appy (thy as (th,sr)) ptp E l (t as Const ("Script.While"(*1*),_) $ c $ e $ a) _ v =

  1252       (if eval_true_ th sr (subst_atomic (upd_env E (a,v)) c)

  1253        then appy thy ptp E (l@[L,R]) e (SOME a) v

  1254        else Skip (v, E))

  1256   | appy (thy as (th,sr)) ptp E l (t as Const ("Script.While"(*2*),_) $ c $ e) a v =

  1257       (if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)

  1258        then appy thy ptp E (l@[R]) e a v

  1259        else Skip (v, E))

  1261   | appy (thy as (th,sr)) ptp E l (t as Const ("If",_) $ c $ e1 $ e2) a v =

  1262       (if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)

  1263        then ((*tracing("### appy If: true");*)appy thy ptp E (l@[L,R]) e1 a v)

  1264        else ((*tracing("### appy If: false");*)appy thy ptp E (l@[  R]) e2 a v))

  1266   | appy thy ptp E l (Const ("Script.Repeat"(*1*),_) $ e $ a) _ v =

  1267       (appy thy ptp E (l@[L,R]) e (SOME a) v)

  1269   | appy thy ptp E l (Const ("Script.Repeat"(*2*),_) $ e) a v =

  1270       (appy thy ptp E (l@[R]) e a v)

  1272   | appy thy ptp E l (t as Const ("Script.Try",_) $ e $ a) _ v =

  1273      (case appy thy ptp E (l@[L,R]) e (SOME a) v of

  1274         Napp E => (Skip (v, E))

  1275       | ay => ay)

  1277   | appy thy ptp E l(t as Const ("Script.Try",_) $ e) a v =

  1278      (case appy thy ptp E (l@[R]) e a v of

  1279         Napp E => (Skip (v, E))

  1280       | ay => ay)

  1282   | appy thy ptp E l (Const ("Script.Or"(*1*),_) $e1 $ e2 $ a) _ v =

  1283      (case appy thy ptp E (l@[L,L,R]) e1 (SOME a) v of

  1284 	      Appy lme => Appy lme

  1285       | _ => appy thy ptp E (*env*) (l@[L,R]) e2 (SOME a) v)

  1287   | appy thy ptp E l (Const ("Script.Or"(*2*),_) $e1 $ e2) a v =

  1288       (case appy thy ptp E (l@[L,R]) e1 a v of

  1289 	       Appy lme => Appy lme

  1290        | _ => appy thy ptp E (l@[R]) e2 a v)

  1292   | appy thy ptp E l (Const ("Script.Seq"(*1*),_) $ e1 $ e2 $ a) _ v =

  1293       (case appy thy ptp E (l@[L,L,R]) e1 (SOME a) v of

  1294 	       Skip (v,E) => appy thy ptp E (l@[L,R]) e2 (SOME a) v

  1295        | ay => ay)

  1297   | appy thy ptp E l (Const ("Script.Seq",_) $ e1 $ e2) a v =

  1298       (case appy thy ptp E (l@[L,R]) e1 a v of

  1299 	       Skip (v,E) => appy thy ptp E (l@[R]) e2 a v

  1300        | ay => ay)

  1302   (* a leaf has been found *)

  1303   | appy (thy as (th,sr)) (pt, p) E l t a v =

  1304       (case handle_leaf "next  " th sr E a v t of

  1305 	       (a', Expr s) => Skip (s, E)

  1306        | (a', STac stac) =>

  1307 	         let val (m,m') = stac2tac_ pt (assoc_thy th) stac

  1308            in

  1309              case m of

  1310 	             Subproblem _ => Appy (m', (E,l,a',tac_2res m',Sundef,false))

  1311 	           | _ =>

  1312                (case applicable_in p pt m of

  1313 			            Appl m' => (Appy (m', (E,l,a',tac_2res m',Sundef,false)))

  1314 			          | _ => ((*tracing("### appy: Napp");*)Napp E))

  1315 	         end);

  1317 fun nxt_up thy ptp (scr as (Prog sc)) E l ay

  1318     (t as Const ("HOL.Let",_) $ _) a v = (*comes from let=...*)

  1319        (if ay = Napp_

  1320         then nstep_up thy ptp scr E (drop_last l) Napp_ a v

  1321         else (*Skip_*)

  1322 	        let

  1323             val up = drop_last l;

  1324 	          val (Const ("HOL.Let",_) $ e $ (Abs (i,T,body))) = go up sc;

  1325             val i = mk_Free (i, T);

  1326             val E = upd_env E (i, v);

  1327           in

  1328             case appy thy ptp E (up@[R,D]) body a v  of

  1329 	            Appy lre => Appy lre

  1330 	          | Napp E => nstep_up thy ptp scr E up Napp_ a v

  1331 	          | Skip (v,E) => nstep_up thy ptp scr E up Skip_ a v end)

  1333   | nxt_up thy ptp scr E l ay

  1334     (t as Abs (_,_,_)) a v =

  1335     ((*tracing("### nxt_up Abs: " ^ term2str t);*)

  1336      nstep_up thy ptp scr E l ay a v)

  1338   | nxt_up thy ptp scr E l ay

  1339     (t as Const ("HOL.Let",_) $ e $ (Abs (i,T,b))) a v =

  1340     ((*tracing("### nxt_up Let$e$Abs: is=");

  1341      tracing(istate2str (ScrState (E,l,a,v,Sundef,false)));*)

  1342      (*tracing("### nxt_up Let e Abs: " ^ term2str t);*)

  1343      nstep_up thy ptp scr E l ay a v)

  1345   (*no appy_: never causes Napp -> Helpless*)

  1346   | nxt_up (thy as (th,sr)) ptp scr E l _

  1347   (Const ("Script.While"(*1*),_) $ c $ e $ _) a v =

  1348   if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)

  1349     then case appy thy ptp E (l@[L,R]) e a v of

  1350 	     Appy lr => Appy lr

  1351 	   | Napp E => nstep_up thy ptp scr E l Skip_ a v

  1352 	   | Skip (v,E) => nstep_up thy ptp scr E l Skip_ a v

  1353   else nstep_up thy ptp scr E l Skip_ a v

  1355   (*no appy_: never causes Napp - Helpless*)

  1356   | nxt_up (thy as (th,sr)) ptp scr E l _

  1357   (Const ("Script.While"(*2*),_) $ c $ e) a v =

  1358   if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)

  1359     then case appy thy ptp E (l@[R]) e a v of

  1360 	     Appy lr => Appy lr

  1361 	   | Napp E => nstep_up thy ptp scr E l Skip_ a v

  1362 	   | Skip (v,E) => nstep_up thy ptp scr E l Skip_ a v

  1363   else nstep_up thy ptp scr E l Skip_ a v

  1365   | nxt_up thy ptp scr E l ay (Const ("If",_) $ _ $ _ $ _) a v =

  1366     nstep_up thy ptp scr E l ay a v

  1368   | nxt_up thy ptp scr E l _ (*no appy_: there was already a stac below*)

  1369   (Const ("Script.Repeat"(*1*),T) $ e $ _) a v =

  1370     (case appy thy ptp (*upd_env*) E (*a,v)*) ((l@[L,R]):loc_) e a v  of

  1371       Appy lr => Appy lr

  1372     | Napp E => ((*tracing("### nxt_up Repeat a: ");*)

  1373 		 nstep_up thy ptp scr E l Skip_ a v)

  1374     | Skip (v,E) => ((*tracing("### nxt_up Repeat: Skip res ="^

  1375 		(Sign.string_of_term(sign_of (assoc_thy thy)) res'));*)

  1376 		    nstep_up thy ptp scr E l Skip_ a v))

  1378   | nxt_up thy ptp scr E l _ (*no appy_: there was already a stac below*)

  1379   (Const ("Script.Repeat"(*2*),T) $ e) a v =

  1380     (case appy thy ptp (*upd_env*) E (*a,v)*) ((l@[R]):loc_) e a v  of

  1381       Appy lr => Appy lr

  1382     | Napp E => ((*tracing("### nxt_up Repeat a: ");*)

  1383 		 nstep_up thy ptp scr E l Skip_ a v)

  1384     | Skip (v,E) => ((*tracing("### nxt_up Repeat: Skip res ="^

  1385 		(Sign.string_of_term(sign_of (assoc_thy thy)) res'));*)

  1386 		    nstep_up thy ptp scr E l Skip_ a v))

  1388   | nxt_up thy ptp scr E l _ (*makes Napp to Skip*)

  1389   (t as Const ("Script.Try",_) $ e $ _) a v =

  1390     ((*tracing("### nxt_up Try " ^ term2str t);*)

  1391      nstep_up thy ptp scr E l Skip_ a v )

  1393   | nxt_up thy ptp scr E l _ (*makes Napp to Skip*)

  1394   (t as Const ("Script.Try"(*2*),_) $ e) a v =

  1395     ((*tracing("### nxt_up Try " ^ term2str t);*)

  1396      nstep_up thy ptp scr E l Skip_ a v)

  1399   | nxt_up thy ptp scr E l ay

  1400   (Const ("Script.Or",_) $ _ $ _ $ _) a v = nstep_up thy ptp scr E l ay a v

  1402   | nxt_up thy ptp scr E l ay

  1403   (Const ("Script.Or",_) $ _ $ _) a v = nstep_up thy ptp scr E l ay a v

  1405   | nxt_up thy ptp scr E l ay

  1406   (Const ("Script.Or",_) $ _ ) a v =

  1407     nstep_up thy ptp scr E (drop_last l) ay a v

  1409   | nxt_up thy ptp scr E l ay (*all has been done in (*2*) below*)

  1410   (Const ("Script.Seq"(*1*),_) $ _ $ _ $ _) a v =

  1411     nstep_up thy ptp scr E l ay a v

  1413   | nxt_up thy ptp scr E l ay (*comes from e2*)

  1414 	   (Const ("Script.Seq"(*2*),_) $ _ $ e2) a v =

  1415     nstep_up thy ptp scr E l ay a v

  1417   | nxt_up thy ptp (scr as Prog sc) E l ay (*comes from e1*)

  1418 	   (Const ("Script.Seq",_) $ _) a v =

  1419     if ay = Napp_

  1420     then nstep_up thy ptp scr E (drop_last l) Napp_ a v

  1421     else (*Skip_*)

  1422 	let val up = drop_last l;

  1423 	    val Const ("Script.Seq"(*2*),_) $ _ $ e2 = go up sc;

  1424 	in case appy thy ptp E (up@[R]) e2 a v  of

  1425 	    Appy lr => Appy lr

  1426 	  | Napp E => nstep_up thy ptp scr E up Napp_ a v

  1427 	  | Skip (v,E) => nstep_up thy ptp scr E up Skip_ a v end

  1429   | nxt_up (thy,_) ptp scr E l ay t a v = error ("nxt_up not impl for " ^ term2str t)

  1431 and nstep_up thy ptp (Prog sc) E l ay a v =

  1432   (if 1 < length l

  1433    then

  1434      let val up = drop_last l;

  1435      in (nxt_up thy ptp (Prog sc) E up ay (go up sc) a v ) end

  1436    else (*interpreted to end*)

  1437      if ay = Skip_ then Skip (v, E) else Napp E

  1438 );

  1440 (* decide for the next applicable stac in the script;

  1441    returns (stactic, value) - the value in case the script is finished

  1442    12.8.02:         ~~~~~ and no assumptions ??? FIXME ???

  1443    20.8.02: must return p in case of finished, because the next script

  1444             consulted need not be the calling script:

  1445             in case of detail ie. _inserted_ PrfObjs, the next stac

  1446             has to searched in a script with PblObj.status<>Complete !

  1447             (.. not true for other details ..PrfObj ??????????????????

  1448    20.8.02: do NOT return safe (is only changed in locate !!!)

  1449 *)

  1450 fun next_tac (thy,_) (pt,p) (Rfuns {next_rule,...}) (RrlsState(f,f',rss,_), ctxt) =

  1451     if f = f'

  1452     then (End_Detail' (f',[])(*8.6.03*), (Uistate, ctxt),

  1453     	(f', Sundef(*FIXME is no value of next_tac! vor 8.6.03*)))  (*finished*)

  1454     else

  1455       (case next_rule rss f of

  1456     	   NONE => (Empty_Tac_, (Uistate, ctxt), (e_term, Sundef))  (*helpless*)

  1457     	 | SOME (Thm (id,thm))(*8.6.03: muss auch f' liefern ?!!*) =>

  1458     	     (Rewrite' (thy, "e_rew_ord", e_rls,(*!?!8.6.03*) false,

  1459   			     (id, string_of_thmI thm), f,(e_term,[(*!?!8.6.03*)])),

  1460   	           (Uistate, ctxt), (e_term, Sundef)))                 (*next stac*)

  1462   | next_tac thy (ptp as (pt, pos as (p, _)):ptree * pos') (sc as Prog (h $ body))

  1463 	    (ScrState (E,l,a,v,s,b), ctxt) =

  1464     (case if l = [] then appy thy ptp E [R] body NONE v

  1465           else nstep_up thy ptp sc E l Skip_ a v of

  1466        Skip (v, _) =>                                              (*finished*)

  1467          (case par_pbl_det pt p of

  1468 	          (true, p', _) =>

  1469 	             let

  1470 	               val (_,pblID,_) = get_obj g_spec pt p';

  1471 	              in (Check_Postcond' (pblID, (v, [(*assigned in next step*)])),

  1472 	                   (e_istate, ctxt), (v,s))

  1473                 end

  1474 	        | (_, p', rls') => (End_Detail' (e_term,[])(*8.6.03*), (e_istate, ctxt), (v,s)))

  1475      | Napp _ => (Empty_Tac_, (e_istate, ctxt), (e_term, Sundef))   (*helpless*)

  1476      | Appy (m', scrst as (_,_,_,v,_,_)) => (m', (ScrState scrst, ctxt), (v, Sundef))) (*next stac*)

  1478   | next_tac _ _ _ (is, _) = error ("next_tac: not impl for " ^ (istate2str is));

  1481 (*.create the initial interpreter state from the items of the guard.*)

  1482 fun init_scrstate thy itms metID =

  1483   let

  1484     val actuals = itms2args thy metID itms

  1485 	  val scr as Prog sc = (#scr o get_met) metID

  1486     val formals = formal_args sc

  1487 	  (*expects same sequence of (actual) args in itms and (formal) args in met*)

  1488 	  fun relate_args env [] [] = env

  1489 	    | relate_args env _ [] =

  1490 	        error ("ERROR in creating the environment for '" ^

  1491 			    id_of_scr sc ^ "' from \nthe items of the guard of " ^

  1492 			    metID2str metID ^ ",\n" ^

  1493 			    "formal arg(s), from the script, miss actual arg(s), from the guards env:\n" ^

  1494 			    (string_of_int o length) formals ^

  1495 			    " formals: " ^ terms2str formals ^ "\n" ^

  1496 			    (string_of_int o length) actuals ^

  1497 			    " actuals: " ^ terms2str actuals)

  1498 	    | relate_args env [] actual_finds = env (*may drop Find!*)

  1499 	    | relate_args env (a::aa) (f::ff) =

  1500 	        if type_of a = type_of f

  1501 	        then relate_args (env @ [(a, f)]) aa ff

  1502           else

  1503 	          error ("ERROR in creating the environment for '" ^

  1504 			      id_of_scr sc ^ "' from \nthe items of the guard of " ^

  1505 			      metID2str metID ^ ",\n" ^

  1506 			      "different types of formal arg, from the script, " ^

  1507 			      "and actual arg, from the guards env:'\n" ^

  1508 			      "formal: '" ^ term2str a ^ "::" ^ (type2str o type_of) a ^ "'\n" ^

  1509 			      "actual: '" ^ term2str f ^ "::" ^ (type2str o type_of) f ^ "'\n" ^

  1510 			      "in\n" ^

  1511 			      "formals: " ^ terms2str formals ^ "\n" ^

  1512 			      "actuals: " ^ terms2str actuals)

  1513      val env = relate_args [] formals actuals;

  1514      val ctxt = Proof_Context.init_global thy |> declare_constraints' actuals

  1515      val {pre, prls, ...} = get_met metID;

  1516      val pres = check_preconds thy prls pre itms |> map snd;

  1517      val ctxt = ctxt |> insert_assumptions pres;

  1518    in (ScrState (env,[],NONE,e_term,Safe,true), ctxt, scr):istate * Proof.context * scr end;

  1520 (* decide, where to get script/istate from:

  1521    (*1*) from PblObj.env: at begin of script if no init_form

  1522    (*2*) from PblObj/PrfObj: if stac is in the middle of the script

  1523    (*3*) from rls/PrfObj: in case of detail a ruleset *)

  1524 fun from_pblobj_or_detail' thy' (p,p_) pt =

  1525   let val ctxt = get_ctxt pt (p,p_)

  1526   in

  1527     if member op = [Pbl,Met] p_

  1528     then case get_obj g_env pt p of

  1529   	       NONE => error "from_pblobj_or_detail': no istate"

  1530   	     | SOME is =>

  1531   	         let

  1532                val metID = get_obj g_metID pt p

  1533   		         val {srls,...} = get_met metID

  1534   	         in (srls, is, (#scr o get_met) metID) end

  1535     else

  1536       let val (pbl,p',rls') = par_pbl_det pt p

  1537       in if pbl

  1538          then                                                    (*2*)

  1539   	       let

  1540              val thy = assoc_thy thy'

  1541   	         val PblObj{meth=itms,...} = get_obj I pt p'

  1542 	           val metID = get_obj g_metID pt p'

  1543 	           val {srls,...} = get_met metID

  1544 	         in (*if last_elem p = 0 nothing written to pt yet*)

  1545 	           (srls, get_loc pt (p,p_), (#scr o get_met) metID)

  1546 	         end

  1547          else                                                    (*3*)

  1548 	         (e_rls, (*FIXME.WN0?: get from pbl or met !!! unused for Rrls in locate_gen, next_tac*)

  1549 	          get_loc pt (p,p_),

  1550 	            case rls' of

  1551 	  	          Rls {scr=scr,...} => scr

  1552 	            | Seq {scr=scr,...} => scr

  1553 	            | Rrls {scr=rfuns,...} => rfuns)

  1554       end

  1555   end;

  1557 (*.get script and istate from PblObj, see                        (*1*) above.*)

  1558 fun from_pblobj' thy' (p,p_) pt =

  1559   let

  1560     val p' = par_pblobj pt p

  1561 	  val thy = assoc_thy thy'

  1562 	  val PblObj {meth=itms, ...} = get_obj I pt p'

  1563 	  val metID = get_obj g_metID pt p'

  1564 	  val {srls,scr,...} = get_met metID

  1565   in

  1566     if last_elem p = 0 (*nothing written to pt yet*)

  1567     then

  1568        let val (is, ctxt, scr) = init_scrstate thy itms metID

  1569 	     in (srls, (is, ctxt), scr) end

  1570        else (srls, get_loc pt (p,p_), scr)

  1571     end;

  1573 (*.get the stactics and problems of a script as tacs

  1574   instantiated with the current environment;

  1575   l is the location which generated the given formula.*)

  1576 (*WN.12.5.03: quick-and-dirty repair for listexpressions*)

  1577 fun is_spec_pos Pbl = true

  1578   | is_spec_pos Met = true

  1579   | is_spec_pos _ = false;

  1581 (*. fetch _all_ tactics from script .*)

  1582 fun sel_rules _ (([],Res):pos') =

  1583     raise PTREE "no tactics applicable at the end of a calculation"

  1584 | sel_rules pt (p,p_) =

  1585   if is_spec_pos p_

  1586   then [get_obj g_tac pt p]

  1587   else

  1588     let val pp = par_pblobj pt p;

  1589 	val thy' = (get_obj g_domID pt pp):theory';

  1590 	val thy = assoc_thy thy';

  1591 	val metID = get_obj g_metID pt pp;

  1592 	val metID' =if metID =e_metID then(thd3 o snd3)(get_obj g_origin pt pp)

  1593 		     else metID

  1594 	val {scr = Prog sc,srls,...} = get_met metID'

  1595 	val ScrState (env,_,a,v,_,_) = get_istate pt (p,p_);

  1596     in map ((stac2tac pt thy) o rep_stacexpr o #2 o

  1597 	    (handle_leaf "selrul" thy' srls env a v)) (stacpbls sc) end;

  1599 (*. fetch tactics from script and filter _applicable_ tactics;

  1600     in case of Rewrite_Set* go down to _atomic_ rewrite-tactics .*)

  1601 fun sel_appl_atomic_tacs _ (([],Res):pos') =

  1602     raise PTREE "no tactics applicable at the end of a calculation"

  1603   | sel_appl_atomic_tacs pt (p,p_) =

  1604     if is_spec_pos p_

  1605     then [get_obj g_tac pt p]

  1606     else

  1607       let

  1608         val pp = par_pblobj pt p

  1609         val thy' = (get_obj g_domID pt pp):theory'

  1610         val thy = assoc_thy thy'

  1611         val metID = get_obj g_metID pt pp

  1612         val metID' =

  1613           if metID = e_metID

  1614           then (thd3 o snd3) (get_obj g_origin pt pp)

  1615           else metID

  1616         val {scr = Prog sc,srls,erls,rew_ord'=ro,...} = get_met metID'

  1617         val ScrState (env,_,a,v,_,_) = get_istate pt (p,p_)

  1618         val alltacs = (*we expect at least 1 stac in a script*)

  1619           map ((stac2tac pt thy) o rep_stacexpr o #2 o

  1620            (handle_leaf "selrul" thy' srls env a v)) (stacpbls sc)

  1621         val f =

  1622           case p_ of

  1623               Frm => get_obj g_form pt p

  1624             | Res => (fst o (get_obj g_result pt)) p

  1625           (*WN071231 ? replace atomic_appl_tacs with applicable_in (ineff!) ?*)

  1626       in (distinct o flat o (map (atomic_appl_tacs thy ro erls f))) alltacs end;

  1629 (*

  1630 end

  1631 open Interpreter;

  1632 *)

  1634 (* use"ME/script.sml";

  1635    use"script.sml";

  1636    *)

author	Mathias Lehnfeld <s1210629013@students.fh-hagenberg.at>
	Thu, 10 Oct 2013 19:16:16 +0100
changeset 52144	1536870f7dc5
parent 52070	77138c64f4f6
child 52153	26f274076fd2
permissions	-rw-r--r--