1 (* interpreter for scripts
2 (c) Walther Neuper 2000
8 signature INTERPRETER =
10 (*type ets (list of executed tactics) see sequent.sml*)
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'
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)
39 structure Interpreter : INTERPRETER =
43 (*.traces the leaves (ie. non-tactical nodes) of the script
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 = ref false;
49 val string_of_thm' = (implode o tl o drop_last o explode o string_of_thm);
52 val it = "\"?s = ?t ==> ?t = ?s\"" : string
54 val it = "?s = ?t ==> ?t = ?s" : string*)
56 type step = (*data for creating a new node in the ptree;
58 fun ass* scrstate steps =
59 ... case ass* scrstate steps of
60 Assoc (scrstate, steps) => ... ass* scrstate steps*)
61 tac_ (*transformed from associated tac*)
62 * mout (*result with indentation etc.*)
63 * ptree (*containing node created by tac_ + resp. scrstate*)
64 * pos' (*position in ptree; ptree * pos' is the proofstate*)
65 * pos' list; (*of ptree-nodes probably cut (by fst tac_)*)
66 val e_step = (Empty_Tac_, EmptyMout, EmptyPtree, e_pos',[]:pos' list):step;
68 fun rule2thm' (Thm (id, thm)) = (id, string_of_thm thm):thm'
69 | rule2thm' r = raise error ("rule2thm': not defined for "^(rule2str r));
71 (*.makes a (rule,term) list to a Step (m, mout, pt', p', cid) for solve;
72 complicated with current t in rrlsstate.*)
73 fun rts2steps steps ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa)) [(r, (f', am))] =
74 let val thy = assoc_thy thy'
75 val m = Rewrite' (thy',ro,er,pa, rule2thm' r, f, (f', am))
76 val is = RrlsState (f',f'',rss,rts)
77 val p = case p of (p',Frm) => p | (p',Res) => (lev_on p',Res)
78 val (p', cid, mout, pt') = generate1 thy m is p pt
79 in (is, (m, mout, pt', p', cid)::steps) end
80 | rts2steps steps ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa))
81 ((r, (f', am))::rts') =
82 let val thy = assoc_thy thy'
83 val m = Rewrite' (thy',ro,er,pa, rule2thm' r, f, (f', am))
84 val is = RrlsState (f',f'',rss,rts)
85 val p = case p of (p',Frm) => p | (p',Res) => (lev_on p',Res)
86 val (p', cid, mout, pt') = generate1 thy m is p pt
87 in rts2steps ((m, mout, pt', p', cid)::steps)
88 ((pt',p'),(f',f'',rss,rts),(thy',ro,er,pa)) rts' end;
91 (*. functions for the environment stack .*)
92 fun accessenv id es = the (assoc((top es):env, id))
93 handle _ => error ("accessenv: "^(free2str id)^" not in env");
94 fun updateenv id vl (es:env stack) =
95 (push (overwrite(top es, (id, vl))) (pop es)):env stack;
96 fun pushenv id vl (es:env stack) =
97 (push (overwrite(top es, (id, vl))) es):env stack;
98 val popenv = pop:env stack -> env stack;
102 fun de_esc_underscore str =
104 | scan (s::ss) = if s = "'" then (scan ss)
106 in (implode o scan o explode) str end;
108 > val str = "Rewrite_Set_Inst";
109 > val esc = esc_underscore str;
110 val it = "Rewrite'_Set'_Inst" : string
111 > val des = de_esc_underscore esc;
112 val des = de_esc_underscore esc;*)
115 (*WN.12.5.03 not used any more,
116 tacs are more stable than listepxr: subst_tacexpr
118 (((ids_of o head_of) t) inter (!listexpr)) <> [];
121 (*go at a location in a script and fetch the contents*)
123 | go (D::p) (Abs(s,ty,t0)) = go (p:loc_) t0
124 | go (L::p) (t1 $ t2) = go p t1
125 | go (R::p) (t1 $ t2) = go p t2
126 | go l _ = raise error ("go: no "^(loc_2str l));
128 > val t = (term_of o the o (parse thy)) "a+b";
129 val it = Const (#,#) $ Free (#,#) $ Free ("b","RealDef.real") : term
130 > val plus_a = go [L] t;
132 > val plus = go [L,L] t;
133 > val a = go [L,R] t;
135 > val t = (term_of o the o (parse thy)) "a+b+c";
136 val t = Const (#,#) $ (# $ # $ Free #) $ Free ("c","RealDef.real") : term
137 > val pl_pl_a_b = go [L] t;
139 > val a = go [L,R,L,R] t;
140 > val b = go [L,R,R] t;
144 (* get a subterm t with test t, and record location *)
145 fun get l test (t as Const (s,T)) =
146 if test t then Some (l,t) else None
147 | get l test (t as Free (s,T)) =
148 if test t then Some (l,t) else None
149 | get l test (t as Bound n) =
150 if test t then Some (l,t) else None
151 | get l test (t as Var (s,T)) =
152 if test t then Some (l,t) else None
153 | get l test (t as Abs (s,T,body)) =
154 if test t then Some (l:loc_,t) else get ((l@[D]):loc_) test body
155 | get l test (t as t1 $ t2) =
156 if test t then Some (l,t)
157 else case get (l@[L]) test t1 of
158 None => get (l@[R]) test t2
159 | Some (l',t') => Some (l',t');
161 > val sss = ((term_of o the o (parse thy))
162 "Script Solve_root_equation (eq_::bool) (v_::real) (err_::bool) =\
163 \ (let e_ = Try (Rewrite square_equation_left True eq_) \
165 ______ compares head_of !!
166 > get [] (eq_str "Let") sss; [R]
167 > get [] (eq_str "Script.Try") sss; [R,L,R]
168 > get [] (eq_str "Script.Rewrite") sss; [R,L,R,R]
169 > get [] (eq_str "True") sss; [R,L,R,R,L,R]
170 > get [] (eq_str "e_") sss; [R,R]
173 fun test_negotiable t = ((strip_thy o (term_str Script.thy) o head_of) t)
176 (*30.4.02: vvv--- doesnt work with curried functions ---> get_tac ------
177 (*18.6.00: below _ALL_ negotiables must be in fun-patterns !
178 then the last (non)pattern must be a subproblem*)
179 fun init_frm thy (Const ("Script.Rewrite",_) $ _ $ _ $ eq) = Some eq
180 | init_frm thy (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ $ eq) = Some eq
181 | init_frm thy (Const ("Script.Rewrite'_Set",_) $ _ $ _ $ eq) = Some eq
182 | init_frm thy (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ $ eq) =
184 | init_frm thy (Const ("Script.Calculate",_) $ _ $ t) = Some t
186 (*if ((strip_thy o (term_str thy) o head_of) t) mem (!subpbls)
188 else *)raise error ("init_frm: not impl. for "^
189 (Sign.string_of_term (sign_of thy) t));
191 > val t = (term_of o the o (parse thy))
192 "Rewrite square_equation_left True (sqrt(#9+#4*x)=sqrt x + sqrt(#5+x))";
193 > val Some ini = init_frm thy t;
194 > Sign.string_of_term (sign_of thy) ini;
195 val it = "sqrt (#9 + #4 * x) = sqrt x + sqrt (#5 + x)" : string
197 > val t = (term_of o the o (parse thy))
198 "solve_univar (Reals, [univar,equation], no_met) e1_ v1_";
199 > val ini = init_frm thy t;
200 > Sign.string_of_term (sign_of thy) ini;
201 val it = "empty" : string
203 > val t = (term_of o the o (parse thy))
204 "Rewrite_Set norm_equation False x + #1 = #2";
205 > val Some ini = init_frm thy t;
206 > Sign.string_of_term (sign_of thy) ini;
207 val it = "x + #1 = #2" : string
209 > val t = (term_of o the o (parse thy))
210 "Rewrite_Set_Inst [(bdv,x)] isolate_bdv False x + #1 = #2";
211 > val Some ini = init_frm thy t;
212 > Sign.string_of_term (sign_of thy) ini;
213 val it = "x + #1 = #2" : string *)
216 (*.get argument of first stactic in a script for init_form.*)
217 fun get_stac thy (h $ body) =
221 fun get_t y (Const ("Script.Seq",_) $ e1 $ e2) a =
222 (case get_t y e1 a of None => get_t y e2 a | la => la)
223 | get_t y (Const ("Script.Seq",_) $ e1 $ e2 $ a) _ =
224 (case get_t y e1 a of None => get_t y e2 a | la => la)
225 | get_t y (Const ("Script.Try",_) $ e) a = get_t y e a
226 | get_t y (Const ("Script.Try",_) $ e $ a) _ = get_t y e a
227 | get_t y (Const ("Script.Repeat",_) $ e) a = get_t y e a
228 | get_t y (Const ("Script.Repeat",_) $ e $ a) _ = get_t y e a
229 | get_t y (Const ("Script.Or",_) $e1 $ e2) a =
230 (case get_t y e1 a of None => get_t y e2 a | la => la)
231 | get_t y (Const ("Script.Or",_) $e1 $ e2 $ a) _ =
232 (case get_t y e1 a of None => get_t y e2 a | la => la)
233 | get_t y (Const ("Script.While",_) $ c $ e) a = get_t y e a
234 | get_t y (Const ("Script.While",_) $ c $ e $ a) _ = get_t y e a
235 | get_t y (Const ("Script.Letpar",_) $ e1 $ Abs (_,_,e2)) a =
236 (case get_t y e1 a of None => get_t y e2 a | la => la)
237 (*| get_t y (Const ("Let",_) $ e1 $ Abs (_,_,e2)) a =
238 (writeln("get_t: Let e1= "^(term2str e1)^", e2= "^(term2str e2));
239 case get_t y e1 a of None => get_t y e2 a | la => la)
240 | get_t y (Abs (_,_,e)) a = get_t y e a*)
241 | get_t y (Const ("Let",_) $ e1 $ Abs (_,_,e2)) a =
242 get_t y e1 a (*don't go deeper without evaluation !*)
243 | get_t y (Const ("If",_) $ c $ e1 $ e2) a = None
244 (*(case get_t y e1 a of None => get_t y e2 a | la => la)*)
246 | get_t y (Const ("Script.Rewrite",_) $ _ $ _ $ a) _ = Some a
247 | get_t y (Const ("Script.Rewrite",_) $ _ $ _ ) a = Some a
248 | get_t y (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ $ a) _ = Some a
249 | get_t y (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ ) a = Some a
250 | get_t y (Const ("Script.Rewrite'_Set",_) $ _ $ _ $ a) _ = Some a
251 | get_t y (Const ("Script.Rewrite'_Set",_) $ _ $ _ ) a = Some a
252 | get_t y (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ $a)_ =Some a
253 | get_t y (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ ) a =Some a
254 | get_t y (Const ("Script.Calculate",_) $ _ $ a) _ = Some a
255 | get_t y (Const ("Script.Calculate",_) $ _ ) a = Some a
257 | get_t y (Const ("Script.Substitute",_) $ _ $ a) _ = Some a
258 | get_t y (Const ("Script.Substitute",_) $ _ ) a = Some a
260 | get_t y (Const ("Script.SubProblem",_) $ _ $ _) _ = None
263 ((*writeln ("### get_t yac: list-expr "^(term2str x));*)
265 in get_t thy body e_term end;
267 (*FIXME: get 1st stac by next_stac [] instead of ... ?? 29.7.02*)
268 (* val Script sc = scr;
270 fun init_form thy (Script sc) env =
271 (case get_stac thy sc of
272 None => None (*raise error ("init_form: no 1st stac in "^
273 (Sign.string_of_term (sign_of thy) sc))*)
274 | Some stac => Some (subst_atomic env stac))
275 | init_form _ _ _ = raise error "init_form: no match";
277 (* use"ME/script.sml";
283 (*the 'iteration-argument' of a stac (args not eval)*)
284 fun itr_arg _ (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ $ v) = v
285 | itr_arg _ (Const ("Script.Rewrite",_) $ _ $ _ $ v) = v
286 | itr_arg _ (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ $ v) = v
287 | itr_arg _ (Const ("Script.Rewrite'_Set",_) $ _ $ _ $ v) = v
288 | itr_arg _ (Const ("Script.Calculate",_) $ _ $ v) = v
289 | itr_arg _ (Const ("Script.Check'_elementwise",_) $ consts $ _) = consts
290 | itr_arg _ (Const ("Script.Or'_to'_List",_) $ _) = e_term
291 | itr_arg _ (Const ("Script.Tac",_) $ _) = e_term
292 | itr_arg _ (Const ("Script.SubProblem",_) $ _ $ _) = e_term
293 | itr_arg thy t = raise error
294 ("itr_arg not impl. for "^
295 (Sign.string_of_term (sign_of (assoc_thy thy)) t));
296 (* val t = (term_of o the o (parse thy))"Rewrite rroot_square_inv False e_";
297 > itr_arg "Script.thy" t;
298 val it = Free ("e_","RealDef.real") : term
299 > val t = (term_of o the o (parse thy))"xxx";
300 > itr_arg "Script.thy" t;
301 *** itr_arg not impl. for xxx
302 uncaught exception ERROR
303 raised at: library.ML:1114.35-1114.40*)
306 (*.get the arguments of the script out of the scripts parsetree.*)
307 fun formal_args scr = (fst o split_last o snd o strip_comb) scr;
310 [Free ("f_","RealDef.real"),Free ("v_","RealDef.real"),
311 Free ("eqs_","bool List.list")] : term list
314 (*.get the identifier of the script out of the scripts parsetree.*)
315 fun id_of_scr sc = (id_of o fst o strip_comb) sc;
318 (*26.5.02: not clear, when a is available in ass_up for eva-_true*)
319 fun upd_env_opt env (Some a, v) = upd_env env (a,v)
320 | upd_env_opt env (None, v) =
321 (writeln("*** upd_env_opt: (None,"^(term2str v)^")");env);
324 type dsc = typ; (*<-> nam..unknow in Descript.thy*)
325 fun typ_str (Type (s,_)) = s
326 | typ_str (TFree(s,_)) = s
327 | typ_str (TVar ((s,i),_)) = s^(string_of_int i);
329 (*get the _result_-type of a description*)
330 fun dsc_valT (Const (_,(Type (_,[_,T])))) = (strip_thy o typ_str) T;
331 (*> val t = (term_of o the o (parse thy)) "equality";
333 val T = "bool => Tools.una" : typ
334 > val dsc = dsc_valT t;
335 val dsc = "una" : string
337 > val t = (term_of o the o (parse thy)) "fixedValues";
339 val T = "bool List.list => Tools.nam" : typ
340 > val dsc = dsc_valT t;
341 val dsc = "nam" : string*)
343 (*.from penv in itm_ make args for script depending on type of description.*)
344 (*6.5.03 TODO: push penv into script -- and drop mk_arg here || drop penv
345 9.5.03 penv postponed: penv = env for script at the moment, (*mk_arg*)*)
346 fun mk_arg thy d [] = raise error ("mk_arg: no data for "^
347 (Sign.string_of_term (sign_of thy) d))
353 r as (Const ("op =",_) $ _ $ _) => r
355 ("mk_arg: dsc-typ 'nam' applied to non-equality "^
356 (Sign.string_of_term (sign_of thy) t))]
357 | s => raise error ("mk_arg: not impl. for "^s))
359 | mk_arg thy d (t::ts) = (mk_arg thy d [t]) @ (mk_arg thy d ts);
362 val [t] = ts_in itm_;
369 (*.create the actual parameters (args) of script: their order
370 is given by the order in met.pat .*)
371 (*WN.5.5.03: ?: does this allow for different descriptions ???
372 ?: why not taken from formal args of script ???
373 !: FIXXXME penv: push it here in itms2args into script-evaluation*)
374 (* val (thy, mI, itms) = (thy, metID, itms);
376 fun itms2args thy mI (itms:itm list) =
377 let val mvat = max_vt itms
378 fun okv mvat (_,vats,b,_,_) = mvat mem vats andalso b
379 val itms = filter (okv mvat) itms
380 fun test_dsc d (_,_,_,_,itm_) = (d = d_in itm_)
381 fun itm2arg itms (_,(d,_)) =
382 case find_first (test_dsc d) itms of
384 raise error ("itms2args: '"^term2str d^"' not in itms")
385 (*| Some (_,_,_,_,itm_) => mk_arg thy (d_in itm_) (ts_in itm_);
386 penv postponed; presently penv holds already env for script*)
387 | Some (_,_,_,_,itm_) => penvval_in itm_
388 fun sel_given_find (s,_) = (s = "#Given") orelse (s = "#Find")
389 val pats = (#ppc o get_met) mI
390 in (flat o (map (itm2arg itms))) pats end;
392 > val sc = ... Solve_root_equation ...
393 > val mI = ("Script.thy","sqrt-equ-test");
394 > val PblObj{meth={ppc=itms,...},...} = get_obj I pt [];
395 > val ts = itms2args thy mI itms;
396 > map (Sign.string_of_term (sign_of thy)) ts;
397 ["sqrt (#9 + #4 * x) = sqrt x + sqrt (#5 + x)","x","#0"] : string list
401 (*["bool_ (1+x=2)","real_ x"] --match_ags--> oris
402 --oris2fmz_vals--> ["equality (1+x=2)","boundVariable x","solutions L"]*)
403 fun oris2fmz_vals oris =
404 let fun ori2fmz_vals ((_,_,_,dsc,ts):ori) =
405 ((term2str o comp_dts') (dsc, ts), last_elem ts)
406 handle _ => raise error ("ori2fmz_env called with "^terms2str ts)
407 in (split_list o (map ori2fmz_vals)) oris end;
409 (*detour necessary, because generate1 delivers a string-result*)
410 fun mout2term thy (Form' (FormKF (_,_,_,_,res))) =
411 (term_of o the o (parse (assoc_thy thy))) res
412 | mout2term thy (Form' (PpcKF _)) = e_term;(*3.8.01: res of subpbl
413 at time of detection in script*)
415 (*.convert a script-tac 'stac' to a tactic 'tac'; if stac is an initac,
416 then convert to a 'tac_' (as required in appy).
417 arg pt:ptree for pushing the thy specified in rootpbl into subpbls.*)
418 fun stac2tac_ pt thy (Const ("Script.Rewrite",_) $ Free (thmID,_) $ _ $ f) =
419 (* val (pt, thy, (Const ("Script.Rewrite",_) $ Free (thmID,_) $ _ $ f)) =
420 (pt, (assoc_thy th), stac);
422 let val tid = (de_esc_underscore o strip_thy) thmID
423 in (Rewrite (tid, (de_quote o string_of_thm o
424 (assoc_thm' thy)) (tid,"")), Empty_Tac_) end
426 mm as(Const ("Script.Rewrite'_Inst",_) $ sub $ Free(thmID,_) $ _ $ f))
427 = (assoc_thy th,stac);
430 assoc_thm' (assoc_thy "Isac.thy") (tid,"");
431 assoc_thm' Isac.thy (tid,"");
433 | stac2tac_ pt thy (Const ("Script.Rewrite'_Inst",_) $
434 sub $ Free (thmID,_) $ _ $ f) =
435 let val subML = ((map isapair2pair) o isalist2list) sub
436 val subStr = subst2subs subML
437 val tid = (de_esc_underscore o strip_thy) thmID (*4.10.02 unnoetig*)
439 (subStr, (tid, (de_quote o string_of_thm o
440 (assoc_thm' thy)) (tid,""))), Empty_Tac_) end
442 | stac2tac_ pt thy (Const ("Script.Rewrite'_Set",_) $ Free (rls,_) $ _ $ f)=
443 (Rewrite_Set ((de_esc_underscore o strip_thy) rls), Empty_Tac_)
445 | stac2tac_ pt thy (Const ("Script.Rewrite'_Set'_Inst",_) $
446 sub $ Free (rls,_) $ _ $ f) =
447 let val subML = ((map isapair2pair) o isalist2list) sub;
448 val subStr = subst2subs subML;
449 in (Rewrite_Set_Inst (subStr,rls), Empty_Tac_) end
451 | stac2tac_ pt thy (Const ("Script.Calculate",_) $ Free (op_,_) $ f) =
452 (Calculate op_, Empty_Tac_)
454 | stac2tac_ pt thy (Const ("Script.Take",_) $ t) =
455 (Take (term2str t), Empty_Tac_)
457 | stac2tac_ pt thy (Const ("Script.Substitute",_) $ isasub $ arg) =
458 (Substitute ((subte2sube o isalist2list) isasub), Empty_Tac_)
459 (* val t = str2term"Substitute [x = L, M_b L = 0] (M_b x = q_0 * x + c)";
460 val Const ("Script.Substitute", _) $ isasub $ arg = t;
464 | stac2tac_ pt thy (Const("Script.Check'_elementwise",_) $ _ $
465 (set as Const ("Collect",_) $ Abs (_,_,pred))) =
466 (Check_elementwise (Sign.string_of_term (sign_of thy) pred),
469 | stac2tac_ pt thy (Const("Script.Or'_to'_List",_) $ _ ) =
470 (Or_to_List, Empty_Tac_)
472 (*12.1.01.for subproblem_equation_dummy in root-equation *)
473 | stac2tac_ pt thy (Const ("Script.Tac",_) $ Free (str,_)) =
474 (Tac ((de_esc_underscore o strip_thy) str), Empty_Tac_)
475 (*L_ will come from pt in appl_in*)
477 (*3.12.03 copied from assod SubProblem*)
478 (* val Const ("Script.SubProblem",_) $
481 (Const ("Pair",_) $ pI' $ mI')) $ ags' =
483 "SubProblem (Test_,[linear,univariate,equation,test],[Test,solve_linear])\
484 \ [bool_ (-1+x=0), real_ x]";
486 | stac2tac_ pt thy (stac as Const ("Script.SubProblem",_) $
489 (Const ("Pair",_) $ pI' $ mI')) $ ags') =
490 (*compare "| assod _ (Subproblem'"*)
491 let val dI = ((implode o drop_last(*.._*) o explode) dI')^".thy";
492 val thy = maxthy (assoc_thy dI) (rootthy pt);
493 val pI = ((map (de_esc_underscore o free2str)) o isalist2list) pI';
494 val mI = ((map (de_esc_underscore o free2str)) o isalist2list) mI';
495 val ags = isalist2list ags';
498 then let val pors = (match_ags thy ((#ppc o get_pbt) pI) ags)
499 handle _ => (match_ags_msg pI stac(*raise exn*); [])
500 val pI' = refine_ori' pors pI;
501 in (pI', pors (*refinement over models with diff.prec only*),
502 (hd o #met o get_pbt) pI') end
503 else (pI, (match_ags thy ((#ppc o get_pbt) pI) ags)
504 handle _ => (match_ags_msg pI stac(*raise exn*); []),
506 val (fmz_, vals) = oris2fmz_vals pors;
507 val {cas,ppc,thy,...} = get_pbt pI
508 val dI = theory2theory' thy (*take dI from _refined_ pbl*)
509 val dI = theory2theory' (maxthy (assoc_thy dI) (rootthy pt));
510 val hdl = case cas of
511 None => pblterm dI pI
512 | Some t => subst_atomic ((vars_of_pbl_' ppc) ~~~ vals) t
513 val f = subpbl (strip_thy dI) pI
514 in (Subproblem (dI, pI),
515 Subproblem' ((dI, pI, mI), pors, hdl, fmz_, f))
518 | stac2tac_ pt thy t = raise error
519 ("stac2tac_ TODO: no match for "^
520 (Sign.string_of_term (sign_of thy) t));
522 > val t = (term_of o the o (parse thy))
523 "Rewrite_Set_Inst [(bdv,v_::real)] isolate_bdv False (x=a+#1)";
525 val it = Rewrite_Set_Inst ([(#,#)],"isolate_bdv") : tac
527 > val t = (term_of o the o (parse SqRoot.thy))
528 "(SubProblem (SqRoot_,[equation,univariate],(SqRoot_,solve_linear))\
529 \ [bool_ e_, real_ v_])::bool list";
530 > stac2tac_ pt SqRoot.thy t;
531 val it = (Subproblem ("SqRoot.thy",[#,#]),Const (#,#) $ (# $ # $ (# $ #)))
534 fun stac2tac pt thy t = (fst o stac2tac_ pt thy) t;
537 (*.get the stactics and problems of a script as tacs
538 instantiated with the current environment;
539 l is the location which generated the given formula.*)
540 (*WN.12.5.03: quick-and-dirty repair for listexpressions*)
541 fun is_spec_pos Pbl = true
542 | is_spec_pos Met = true
543 | is_spec_pos _ = false;
545 fun sel_rules _ (([],Res):pos') =
546 raise PTREE "no tactics applicable at the end of a calculation"
547 | sel_rules pt (p,p_) =
549 then [get_obj g_tac pt p]
551 let val pp = par_pblobj pt p;
552 val thy' = (get_obj g_domID pt pp):theory';
553 val thy = assoc_thy thy';
554 val metID = get_obj g_metID pt pp;
555 val metID' =if metID =e_metID then(thd3 o snd3)(get_obj g_origin pt pp)
557 val Script sc = (#scr o get_met) metID';
558 val ScrState (env,_,_,_,_,_) = get_istate pt (p,p_);
559 in map ((stac2tac pt thy) o rep_stacexpr o
560 (subst_stacexpr env None e_term)) (stacpbls sc) end;
562 > val Script sc = (#scr o get_met) ("SqRoot.thy","sqrt-equ-test");
563 > val env = [((term_of o the o (parse Isac.thy)) "bdv",
564 (term_of o the o (parse Isac.thy)) "x")];
565 > map ((stac2tac pt thy) o (subst_stacexpr env None e_term)) (stacpbls sc);
572 (*test a term for being a _list_ (set ?) of constants; could be more rigorous*)
573 fun list_of_consts (Const ("List.list.Cons",_) $ _ $ _) = true
574 | list_of_consts (Const ("List.list.Nil",_)) = true
575 | list_of_consts _ = false;
576 (*val ttt = (term_of o the o (parse thy)) "[x=#1,x=#2,x=#3]";
577 > list_of_consts ttt;
579 > val ttt = (term_of o the o (parse thy)) "[]";
580 > list_of_consts ttt;
581 val it = true : bool*)
587 (* 15.1.01: evaluation of preds only works occasionally,
588 but luckily for the 2 examples of root-equ:
589 > val s = ((term_of o the o (parse thy)) "x",
590 (term_of o the o (parse thy)) "-#5//#12");
591 > val asm = (term_of o the o (parse thy))
592 "#0 <= #9 + #4 * x & #0 <= sqrt x + sqrt (#-3 + x)";
593 > val pred = subst_atomic [s] asm;
594 > rewrite_set_ thy false (cterm_of (sign_of thy) pred);
595 val it = None : (cterm * cterm list) option !!!!!!!!!!!!!!!!!!!!!!!!!!!!
596 > eval_true' (string_of_thy thy) "eval_rls" (subst_atomic [s] pred);
597 val it = false : bool
599 > val s = ((term_of o the o (parse thy)) "x",
600 (term_of o the o (parse thy)) "#4");
601 > val asm = (term_of o the o (parse thy))
602 "#0 <= #9 + #4 * x & #0 <= sqrt x + sqrt (#5 + x)";
603 > val pred = subst_atomic [s] asm;
604 > rewrite_set_ thy false (cterm_of (sign_of thy) pred);
605 val it = Some ("True & True",[]) : (cterm * cterm list) option
606 > eval_true' (string_of_thy thy) "eval_rls" (subst_atomic [s] pred);
607 val it = true : bool`*)
609 (*for check_elementwise: take apart the set, ev. instantiate assumptions
610 fun rep_set thy pt p (set as Const ("Collect",_) $ Abs _) =
611 let val (_ $ Abs (bdv,T,pred)) = inst_abs thy set;
612 val bdv = Free (bdv,T);
613 val pred = if pred <> Const ("Script.Assumptions",bool)
615 else (mk_and o (map fst)) (get_assumptions_ pt (p,Res))
617 | rep_set thy _ _ set =
618 raise error ("check_elementwise: no set "^ (*from script*)
619 (Sign.string_of_term (sign_of thy) set));
620 (*> val set = (term_of o the o (parse thy)) "{(x::real). Assumptions}";
622 > val pt = union_asm pt p [("#0 <= sqrt x + sqrt (#5 + x)",[11]),
623 ("#0 <= #9 + #4 * x",[22]),
624 ("#0 <= x ^^^ #2 + #5 * x",[33]),
625 ("#0 <= #2 + x",[44])];
626 > val (bdv,pred) = rep_set thy pt p set;
627 val bdv = Free ("x","RealDef.real") : term
628 > writeln (Sign.string_of_term (sign_of thy) pred);
629 ((#0 <= sqrt x + sqrt (#5 + x) & #0 <= #9 + #4 * x) &
630 #0 <= x ^^^ #2 + #5 * x) &
633 --------------------------------------------11.6.03--was unused*)
639 Ass of tac_ * (*SubProblem gets args instantiated in assod*)
640 term (*for itr_arg,result in ets*)
642 term (*for itr_arg,result in ets*)
645 (*.assod: tac_ associated with stac w.r.t. d
647 pt:ptree for pushing the thy specified in rootpbl into subpbls
649 Ass : associated: e.g. thmID in stac = thmID in m
650 +++ arg in stac = arg in m
651 AssWeak: weakly ass.:e.g. thmID in stac = thmID in m, //arg//
652 NotAss : e.g. thmID in stac/=/thmID in m (not =)
654 tac_ SubProblem with args completed from script
656 fun assod pt d (m as Rewrite_Inst' (thy',rod,rls,put,subs,(thmID,thm),f,(f',asm)))
657 (Const ("Script.Rewrite'_Inst",_) $ subs_ $ Free (thmID_,idT) $ b $ f_) =
658 if thmID = thmID_ then
659 if f = f_ then ((*writeln"3### assod ..Ass";*)Ass (m,f'))
660 else ((*writeln"3### assod ..AssWeak";*)AssWeak(m, f'))
661 else ((*writeln"3### assod ..NotAss";*)NotAss)
663 | assod pt d (m as Rewrite' (thy,rod,rls,put,(thmID,thm),f,(f',asm)))
664 (t as Const ("Script.Rewrite",_) $ Free (thmID_,idT) $ b $ f_) =
665 ((*writeln("3### assod: stac = "^
666 (Sign.string_of_term (sign_of (assoc_thy thy)) t));
667 writeln("3### assod: f(m)= "^
668 (Sign.string_of_term (sign_of (assoc_thy thy)) f));*)
669 if thmID = thmID_ then
670 if f = f_ then ((*writeln"3### assod ..Ass";*)Ass (m,f'))
671 else ((*writeln"### assod ..AssWeak";
672 writeln("### assod: f(m) = "^
673 (Sign.string_of_term (sign_of (assoc_thy thy)) f));
674 writeln("### assod: f(stac)= "^
675 (Sign.string_of_term (sign_of (assoc_thy thy)) f_));*)
677 else ((*writeln"3### assod ..NotAss";*)NotAss))
679 (*val f = (term_of o the o (parse thy))"#0+(sqrt(sqrt(sqrt a))^^^#2)^^^#2=#0";
680 > val f'= (term_of o the o (parse thy))"#0+(sqrt(sqrt a))^^^#2=#0";
681 > val m = Rewrite'("Script.thy","tless_true","eval_rls",false,
682 ("rroot_square_inv",""),f,(f',[]));
683 > val stac = (term_of o the o (parse thy))
684 "Rewrite rroot_square_inv False (#0+(sqrt(sqrt(sqrt a))^^^#2)^^^#2=#0)";
685 > assod e_rls m stac;
687 (Some (Rewrite' (#,#,#,#,#,#,#)),Const ("empty","RealDef.real"),
688 Const ("empty","RealDef.real")) : tac_ option * term * term*)
690 | assod pt d (m as Rewrite_Set_Inst' (thy',put,sub,rls,f,(f',asm)))
691 (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free (rls_,_) $ _ $ f_)=
692 if id_rls rls = rls_ then
693 if f = f_ then Ass (m,f') else AssWeak (m,f')
696 | assod pt d (m as Detail_Set_Inst' (thy',put,sub,rls,f,(f',asm)))
697 (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free (rls_,_) $ _ $ f_)=
698 if id_rls rls = rls_ then
699 if f = f_ then Ass (m,f') else AssWeak (m,f')
702 | assod pt d (m as Rewrite_Set' (thy,put,rls,f,(f',asm)))
703 (Const ("Script.Rewrite'_Set",_) $ Free (rls_,_) $ _ $ f_) =
704 if id_rls rls = rls_ then
705 if f = f_ then Ass (m,f') else AssWeak (m,f')
708 | assod pt d (m as Detail_Set' (thy,put,rls,f,(f',asm)))
709 (Const ("Script.Rewrite'_Set",_) $ Free (rls_,_) $ _ $ f_) =
710 if id_rls rls = rls_ then
711 if f = f_ then Ass (m,f') else AssWeak (m,f')
714 | assod pt d (m as Calculate' (thy',op_,f,(f',thm')))
715 (Const ("Script.Calculate",_) $ Free (op__,_) $ f_) =
717 if f = f_ then Ass (m,f') else AssWeak (m,f')
720 | assod pt _ (m as Check_elementwise' (consts,_,(consts_chkd,_)))
721 (Const ("Script.Check'_elementwise",_) $ consts' $ _) =
722 ((*writeln("### assod Check'_elementwise: consts= "^(term2str consts)^
723 ", consts'= "^(term2str consts'));
724 atomty consts; atomty consts';*)
725 if consts = consts' then ((*writeln"### assod Check'_elementwise: Ass";*)
726 Ass (m, consts_chkd))
727 else ((*writeln"### assod Check'_elementwise: NotAss";*) NotAss))
729 | assod pt _ (m as Or_to_List' (ors, list))
730 (Const ("Script.Or'_to'_List",_) $ _) =
733 | assod pt _ (m as Take' term)
734 (Const ("Script.Take",_) $ _) =
737 | assod pt _ (m as Substitute' (_, _, res))
738 (Const ("Script.Substitute",_) $ _ $ _) =
740 (* val t = str2term "Substitute [(x, 3)] (x^^^2 + x + 1)";
741 val (Const ("Script.Substitute",_) $ _ $ _) = t;
744 | assod pt _ (m as Tac_ (thy,f,id,f'))
745 (Const ("Script.Tac",_) $ Free (id',_)) =
746 if id = id' then Ass (m, ((term_of o the o (parse thy)) f'))
751 "SubProblem (DiffApp_,[make,function],[no_met]) \
752 \[real_ m_, real_ v_, bool_list_ rs_]";
754 val (Subproblem' ((domID,pblID,metID),_,_,_,f)) = m;
755 val (Const ("Script.SubProblem",_) $
758 (Const ("Pair",_) $ pI' $ mI')) $ ags') = stac;
760 | assod pt _ (Subproblem' ((domID,pblID,metID),_,_,_,f))
761 (stac as Const ("Script.SubProblem",_) $
764 (Const ("Pair",_) $ pI' $ mI')) $ ags') =
765 (*compare "| stac2tac_ thy (Const ("Script.SubProblem",_)"*)
766 let val dI = ((implode o drop_last o explode) dI')^".thy";
767 val thy = maxthy (assoc_thy dI) (rootthy pt);
768 val pI = ((map (de_esc_underscore o free2str)) o isalist2list) pI';
769 val mI = ((map (de_esc_underscore o free2str)) o isalist2list) mI';
770 val ags = isalist2list ags';
773 then let val pors = (match_ags thy ((#ppc o get_pbt) pI) ags)
774 handle _ => (match_ags_msg pI stac(*raise exn*); []);
775 val pI' = refine_ori' pors pI;
776 in (pI', pors (*refinement over models with diff.prec only*),
777 (hd o #met o get_pbt) pI') end
778 else (pI, (match_ags thy ((#ppc o get_pbt) pI) ags)
779 handle _ => (match_ags_msg pI stac(*raise exn*); []),
781 val (fmz_, vals) = oris2fmz_vals pors;
782 val {cas, ppc,...} = get_pbt pI
783 val {cas, ppc, thy,...} = get_pbt pI
784 val dI = theory2theory' thy (*take dI from _refined_ pbl*)
785 val dI = theory2theory' (maxthy (assoc_thy dI) (rootthy pt))
786 val hdl = case cas of
787 None => pblterm dI pI
788 | Some t => subst_atomic ((vars_of_pbl_' ppc) ~~~ vals) t
789 val f = subpbl (strip_thy dI) pI
790 in if domID = dI andalso pblID = pI
791 then Ass (Subproblem' ((dI, pI, mI), pors, hdl, fmz_, f), f)
796 (writeln("### assod: NotAss m= "^(tac_2str m)^" , ..\n\
797 \### ..assod: stac= "^(term2str t));
802 fun tac_2tac (Refine_Tacitly' (pI,_,_,_,_)) = Refine_Tacitly pI
803 | tac_2tac (Model_Problem' (pI,_)) = Model_Problem pI
804 | tac_2tac (Add_Given' (t,_)) = Add_Given t
805 | tac_2tac (Add_Find' (t,_)) = Add_Find t
806 | tac_2tac (Add_Relation' (t,_)) = Add_Relation t
808 | tac_2tac (Specify_Theory' dI) = Specify_Theory dI
809 | tac_2tac (Specify_Problem' (dI,_)) = Specify_Problem dI
810 | tac_2tac (Specify_Method' (dI,_,_)) = Specify_Method dI
812 | tac_2tac (Rewrite' (thy,rod,erls,put,(thmID,thm),f,(f',asm))) =
815 | tac_2tac (Rewrite_Inst' (thy,rod,erls,put,sub,(thmID,thm),f,(f',asm)))=
816 Rewrite_Inst (subst2subs sub,(thmID,thm))
818 | tac_2tac (Rewrite_Set' (thy,put,rls,f,(f',asm))) =
819 Rewrite_Set (id_rls rls)
821 | tac_2tac (Detail_Set' (thy,put,rls,f,(f',asm))) =
822 Detail_Set (id_rls rls)
824 | tac_2tac (Rewrite_Set_Inst' (thy,put,sub,rls,f,(f',asm))) =
825 Rewrite_Set_Inst (subst2subs sub,id_rls rls)
827 | tac_2tac (Detail_Set_Inst' (thy,put,sub,rls,f,(f',asm))) =
828 Detail_Set_Inst (subst2subs sub,id_rls rls)
830 | tac_2tac (Calculate' (thy,op_,t,(t',thm'))) = Calculate (op_)
832 | tac_2tac (Check_elementwise' (consts,pred,consts')) =
833 Check_elementwise pred
835 | tac_2tac (Or_to_List' _) = Or_to_List
836 | tac_2tac (Take' term) = Take (term2str term)
837 | tac_2tac (Substitute' (subte, t, res)) = Substitute (subte2sube subte)
839 | tac_2tac (Tac_ (_,f,id,f')) = Tac id
841 | tac_2tac (Subproblem' ((domID, pblID, _), _, _,_,_)) =
842 Subproblem (domID, pblID)
843 | tac_2tac (Check_Postcond' (pblID, _)) =
845 | tac_2tac Empty_Tac_ = Empty_Tac
848 raise error ("tac_2tac: not impl. for "^(tac_2str m));
853 (** decompose tac_ to a rule and to (lhs,rhs)
856 val idT = Type ("Script.ID",[]);
857 (*val tt = (term_of o the o (parse thy)) "square_equation_left::ID";
864 fun make_rule thy t =
865 let val ct = cterm_of (sign_of thy) (Trueprop $ t)
866 in Thm (string_of_cterm ct, make_thm ct) end;
868 (* val (Rewrite_Inst'(thy',rod,rls,put,subs,(thmID,thm),f,(f',asm)))=m;
870 (*decompose tac_ to a rule and to (lhs,rhs) for ets FIXME.12.03: obsolete!
871 NOTE.12.03: also used for msg 'not locatable' ?!: 'Subproblem' missing !!!
872 WN0508 only use in tac_2res, which uses only last return-value*)
873 fun rep_tac_ (Rewrite_Inst'
874 (thy',rod,rls,put,subs,(thmID,thm),f,(f',asm))) =
875 let val fT = type_of f;
876 val b = if put then HOLogic.true_const else HOLogic.false_const;
877 val sT = (type_of o fst o hd) subs;
878 val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))
879 (map HOLogic.mk_prod subs);
880 val sT' = type_of subs';
881 val lhs = Const ("Script.Rewrite'_Inst",[sT',idT,(*fT*)bool,fT] ---> fT)
882 $ subs' $ Free (thmID,idT) $ b $ f;
883 in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
884 (*Fehlersuche 25.4.01
885 (a)----- als String zusammensetzen:
886 ML> Sign.string_of_term (sign_of thy)f;
887 val it = "d_d x #4 + d_d x (x ^^^ #2 + #3 * x)" : string
888 ML> Sign.string_of_term (sign_of thy)f';
889 val it = "#0 + d_d x (x ^^^ #2 + #3 * x)" : string
891 val it = [(Free ("bdv","RealDef.real"),Free ("x","RealDef.real"))] : subst
892 > val tt = (term_of o the o (parse thy))
893 "(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))";
895 ML> writeln(Sign.string_of_term (sign_of thy)tt);
896 (Rewrite_Inst [(bdv,x)] diff_const False d_d x #4 + d_d x (x ^^^ #2 + #3 * x)) =
897 #0 + d_d x (x ^^^ #2 + #3 * x)
899 (b)----- laut rep_tac_:
900 > val ttt=HOLogic.mk_eq (lhs,f');
904 (*Fehlersuche 1-2Monate vor 4.01:*)
905 > val tt = (term_of o the o (parse thy))
906 "Rewrite_Inst[(bdv,x)]square_equation_left True(x=#1+#2)";
909 > val f = (term_of o the o (parse thy)) "x=#1+#2";
910 > val f' = (term_of o the o (parse thy)) "x=#3";
911 > val subs = [((term_of o the o (parse thy)) "bdv",
912 (term_of o the o (parse thy)) "x")];
913 > val sT = (type_of o fst o hd) subs;
914 > val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))
915 (map HOLogic.mk_prod subs);
916 > val sT' = type_of subs';
917 > val lhs = Const ("Script.Rewrite'_Inst",[sT',idT,fT,fT] ---> fT)
918 $ subs' $ Free (thmID,idT) $ HOLogic.true_const $ f;
921 > rep_tac_ (Rewrite_Inst'
922 ("Script.thy","tless_true","eval_rls",false,subs,
923 ("square_equation_left",""),f,(f',[])));
925 | rep_tac_ (Rewrite' (thy',rod,rls,put,(thmID,thm),f,(f',asm)))=
928 val b = if put then HOLogic.true_const else HOLogic.false_const;
929 val lhs = Const ("Script.Rewrite",[idT,HOLogic.boolT,fT] ---> fT)
930 $ Free (thmID,idT) $ b $ f;
931 in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
933 > val tt = (term_of o the o (parse thy)) (*____ ____..test*)
934 "Rewrite square_equation_left True (x=#1+#2) = (x=#3)";
936 > val f = (term_of o the o (parse thy)) "x=#1+#2";
937 > val f' = (term_of o the o (parse thy)) "x=#3";
940 ("Script.thy","tless_true","eval_rls",false,
941 ("square_equation_left",""),f,(f',[])));
942 > val Some ct = parse thy
943 "Rewrite square_equation_left True (x=#1+#2)";
944 > rewrite_ Script.thy tless_true eval_rls true thm ct;
945 val it = Some ("x = #3",[]) : (cterm * cterm list) option
947 | rep_tac_ (Rewrite_Set_Inst'
948 (thy',put,subs,rls,f,(f',asm))) =
949 (e_rule, (e_term, f'))
950 (*WN050824: type error ...
951 let val fT = type_of f;
952 val sT = (type_of o fst o hd) subs;
953 val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))
954 (map HOLogic.mk_prod subs);
955 val sT' = type_of subs';
956 val b = if put then HOLogic.true_const else HOLogic.false_const
957 val lhs = Const ("Script.Rewrite'_Set'_Inst",
958 [sT',idT,fT,fT] ---> fT)
959 $ subs' $ Free (id_rls rls,idT) $ b $ f;
960 in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end*)
961 (* ... vals from Rewrite_Inst' ...
962 > rep_tac_ (Rewrite_Set_Inst'
963 ("Script.thy",false,subs,
964 "isolate_bdv",f,(f',[])));
966 (* val (Rewrite_Set' (thy',put,rls,f,(f',asm)))=m;
968 | rep_tac_ (Rewrite_Set' (thy',put,rls,f,(f',asm)))=
969 let val fT = type_of f;
970 val b = if put then HOLogic.true_const else HOLogic.false_const;
971 val lhs = Const ("Script.Rewrite'_Set",[idT,bool,fT] ---> fT)
972 $ Free (id_rls rls,idT) $ b $ f;
973 in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
975 val thy = assoc_thy thy';
976 val t = HOLogic.mk_eq (lhs,f');
978 --------------------------------------------------
979 val lll = (term_of o the o (parse thy))
980 "Rewrite_Set SqRoot_simplify False (d_d x (x ^^^ #2 + #3 * x) + d_d x #4)";
982 --------------------------------------------------
983 > val f = (term_of o the o (parse thy)) "x=#1+#2";
984 > val f' = (term_of o the o (parse thy)) "x=#3";
986 rep_tac_ (Rewrite_Set'
987 ("Script.thy",false,"SqRoot_simplify",f,(f',[])));
988 val id = "(Rewrite_Set SqRoot_simplify True x = #1 + #2) = (x = #3)" : string
989 val thm = "(Rewrite_Set SqRoot_simplify True x = #1 + #2) = (x = #3)" : thm
991 | rep_tac_ (Calculate' (thy',op_,f,(f',thm')))=
992 let val fT = type_of f;
993 val lhs = Const ("Script.Calculate",[idT,fT] ---> fT)
995 in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
997 > val lhs'=(term_of o the o (parse thy))"Calculate plus (#1+#2)";
998 ... test-root-equ.sml: calculate ...
999 > val Appl m'=applicable_in p pt (Calculate "plus");
1000 > val (lhs,_)=tac_2etac m';
1002 val it = true : bool*)
1003 | rep_tac_ (Check_elementwise' (t,str,(t',asm))) = (Erule, (e_term, t'))
1004 | rep_tac_ (Subproblem' (_,_,_,_,t')) = (Erule, (e_term, t'))
1005 | rep_tac_ (Take' (t')) = (Erule, (e_term, t'))
1006 | rep_tac_ (Substitute' (subst,t,t')) = (Erule, (t, t'))
1007 | rep_tac_ (Or_to_List' (t, t')) = (Erule, (t, t'))
1008 | rep_tac_ m = raise error ("rep_tac_: not impl.for "^
1012 fun tac_2rule m = (fst o rep_tac_) m;
1013 fun tac_2etac m = (snd o rep_tac_) m;
1014 fun tac_2tac m = (fst o snd o rep_tac_) m;*)
1015 fun tac_2res m = (snd o snd o rep_tac_) m;(*ONLYuse of rep_tac_
1016 FIXXXXME: simplify rep_tac_*)
1019 (* use"ME/script.sml";
1026 (** locate an applicable stactic in a script **)
1028 datatype assoc = (*ExprVal in the sense of denotational semantics*)
1029 Assoc of (*the stac is associated, strongly or weakly*)
1030 scrstate * (*the current; returned for next_tac etc. outside ass* *)
1031 (step list) (*list of steps done until associated stac found;
1032 initiated with the data for doing the 1st step,
1033 thus the head holds these data further on,
1034 while the tail holds steps finished (incl.scrstate in ptree)*)
1035 | NasApp of (*stac not associated, but applicable, ptree-node generated*)
1036 scrstate * (step list)
1037 | NasNap of (*stac not associated, not applicable, nothing generated;
1038 for distinction in Or, for leaving iterations, leaving Seq,
1039 evaluate scriptexpressions*)
1041 fun assoc2str (Assoc _) = "Assoc"
1042 | assoc2str (NasNap _) = "NasNap"
1043 | assoc2str (NasApp _) = "NasApp";
1046 datatype asap = (*arg. of assy _only_ for distinction w.r.t. Or*)
1047 Aundef (*undefined: set only by (topmost) Or*)
1048 | AssOnly (*do not execute appl stacs - there could be an associated
1049 in parallel Or-branch*)
1050 | AssGen; (*no Ass(Weak) found within Or, thus
1051 search for _applicable_ stacs, execute and generate pt*)
1052 (*this constructions doesnt allow arbitrary nesting of Or !!!*)
1055 (*assy, ass_up, astep_up scanning for locate_gen at stactic in a script.
1056 search is clearly separated into (1)-(2):
1057 (1) assy is recursive descent;
1058 (2) ass_up resumes interpretation at a location somewhere in the script;
1059 astep_up does only get to the parentnode of the scriptexpr.
1061 * call of (2) means _always_ that in this branch below
1062 there was an appl.stac (Repeat, Or e1, ...)
1065 fun assy ya (is as (E,l,a,v,S,b),ss)
1066 (Const ("Let",_) $ e $ (Abs (id,T,body))) =
1067 ((*writeln("### assy Let$e$Abs: is=");
1068 writeln(istate2str (ScrState is));*)
1069 case assy ya ((E , l@[L,R], a,v,S,b),ss) e of
1070 NasApp ((E',l,a,v,S,bb),ss) =>
1071 let val id' = mk_Free (id, T);
1072 val E' = upd_env E' (id', v);
1073 (*val _=writeln("### assy Let -> NasApp");*)
1074 in assy ya ((E', l@[R,D], a,v,S,b),ss) body end
1076 let val id' = mk_Free (id, T);
1077 val E' = upd_env E (id', v);
1078 (*val _=writeln("### assy Let -> NasNap");*)
1079 in assy ya ((E', l@[R,D], a,v,S,b),ss) body end
1082 | assy (ya as (((thy,srls),_),_)) ((E,l,_,v,S,b),ss)
1083 (Const ("Script.While",_) $ c $ e $ a) =
1084 ((*writeln("### assy While $ c $ e $ a, upd_env= "^
1085 (subst2str (upd_env E (a,v))));*)
1086 if eval_true_ thy srls (subst_atomic (upd_env E (a,v)) c)
1087 then assy ya ((E, l@[L,R], Some a,v,S,b),ss) e
1090 | assy (ya as (((thy,srls),_),_)) ((E,l,a,v,S,b),ss)
1091 (Const ("Script.While",_) $ c $ e) =
1092 ((*writeln("### assy While, l= "^(loc_2str l));*)
1093 if eval_true_ thy srls (subst_atomic (upd_env_opt E (a,v)) c)
1094 then assy ya ((E, l@[R], a,v,S,b),ss) e
1097 | assy (ya as (((thy,srls),_),_)) ((E,l,a,v,S,b),ss)
1098 (Const ("If",_) $ c $ e1 $ e2) =
1099 (if eval_true_ thy srls (subst_atomic (upd_env_opt E (a,v)) c)
1100 then assy ya ((E, l@[L,R], a,v,S,b),ss) e1
1101 else assy ya ((E, l@[ R], a,v,S,b),ss) e2)
1103 | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Try",_) $ e $ a) =
1104 ((*writeln("### assy Try, l= "^(loc_2str l));*)
1105 case assy ya ((E, l@[L,R], Some a,v,S,b),ss) e of
1108 | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Try",_) $ e) =
1109 ((*writeln("### assy Try, l= "^(loc_2str l));*)
1110 case assy ya ((E, l@[R], a,v,S,b),ss) e of
1113 | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Seq",_) $e1 $ e2 $ a) =
1114 ((*writeln("### assy Seq $e1 $ e2 $ a, E= "^(subst2str E));*)
1115 case assy ya ((E, l@[L,L,R], Some a,v,S,b),ss) e1 of
1116 NasNap (v, E) => assy ya ((E, l@[L,R], Some a,v,S,b),ss) e2
1117 | NasApp ((E,_,_,v,_,_),ss) =>
1118 assy ya ((E, l@[L,R], Some a,v,S,b),ss) e2
1121 | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Seq",_) $e1 $ e2) =
1122 (case assy ya ((E, l@[L,R], a,v,S,b),ss) e1 of
1123 NasNap (v, E) => assy ya ((E, l@[R], a,v,S,b),ss) e2
1124 | NasApp ((E,_,_,v,_,_),ss) =>
1125 assy ya ((E, l@[R], a,v,S,b),ss) e2
1128 | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Repeat",_) $ e $ a) =
1129 assy ya ((E,(l@[L,R]),Some a,v,S,b),ss) e
1131 | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Repeat",_) $ e) =
1132 assy ya ((E,(l@[R]),a,v,S,b),ss) e
1134 (*15.6.02: ass,app Or nochmals "uberlegen FIXXXME*)
1135 | assy (y, Aundef) ((E,l,_,v,S,b),ss) (Const ("Script.Or",_) $e1 $ e2 $ a) =
1136 (case assy (y, AssOnly) ((E,(l@[L,L,R]),Some a,v,S,b),ss) e1 of
1138 (case assy (y, AssOnly) ((E,(l@[L,R]),Some a,v,S,b),ss) e2 of
1140 (case assy (y, AssGen) ((E,(l@[L,L,R]),Some a,v,S,b),ss) e1 of
1142 assy (y, AssGen) ((E, (l@[L,R]), Some a,v,S,b),ss) e2
1145 | NasApp _ => raise error ("assy: FIXXXME ///must not return NasApp///")
1148 | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Or",_) $e1 $ e2) =
1149 (case assy ya ((E,(l@[L,R]),a,v,S,b),ss) e1 of
1151 assy ya ((E,(l@[R]),a,v,S,b),ss) e2
1153 (* val ((m,_,pt,(p,p_),c)::ss) = [(m,EmptyMout,pt,p,[])];
1154 val t = (term_of o the o (parse Isac.thy)) "Rewrite rmult_1 False";
1156 val (ap,(p,p_),c,ss) = (Aundef,p,[],[]);
1157 assy (((thy',srls),d),ap) ((E,l,a,v,S,b), (m,EmptyMout,pt,(p,p_),c)::ss) t;
1160 | assy (((thy',sr),d),ap) (is as (E,l,a,v,S,b), (m,_,pt,(p,p_),c)::ss) t =
1161 ((*writeln("### assy, m = "^tac_2str m);
1162 writeln("### assy, (p,p_) = "^pos'2str (p,p_));
1163 writeln("### assy, is= ");
1164 writeln(istate2str (ScrState is));*)
1165 case subst_stacexpr E a v t of
1167 ((*writeln("### assy: listexpr t= "^(term2str t));
1168 writeln("### assy, E= "^(env2str E));
1169 writeln("### assy, eval(..)= "^(term2str
1170 (eval_listexpr_ (assoc_thy thy') sr
1171 (subst_atomic (upd_env_opt E (a,v)) t))));*)
1172 NasNap (eval_listexpr_ (assoc_thy thy') sr
1173 (subst_atomic (upd_env_opt E (a,v)) t), E))
1174 (* val STac stac = subst_stacexpr E a v t;
1177 let val _=writeln("### assy, stac = "^term2str stac);
1178 val p' = case p_ of Frm => p | Res => lev_on p
1179 | _ => raise error ("assy: call by "^
1181 in case assod pt d m stac of
1183 let (*val _=writeln("### assy: Ass ("^tac_2str m^",
1184 "^term2str v'^")");*)
1185 val (p'',c',f',pt') = generate1 (assoc_thy thy') m
1186 (ScrState (E,l,a,v',S,true)) (p',p_) pt;
1187 in Assoc ((E,l,a,v',S,true), (m,f',pt',p'',c @ c')::ss) end
1189 let val (p'',c',f',pt') = generate1 (assoc_thy thy') m
1190 (ScrState (E,l,a,v',S,false)) (p',p_) pt;
1191 in Assoc ((E,l,a,v',S,false), (m,f',pt',p'',c @ c')::ss) end
1193 ((*writeln("### assy, NotAss");*)
1194 case ap of (*switch for Or: 1st AssOnly, 2nd AssGen*)
1195 AssOnly => (NasNap (v, E))
1196 | gen => (case applicable_in (p,p_) pt
1197 (stac2tac pt (assoc_thy thy') stac) of
1199 let val is = (E,l,a,tac_2res m',S,false(*FIXXXME*))
1200 val (p'',c',f',pt') =
1201 generate1 (assoc_thy thy') m' (ScrState is) (p',p_) pt;
1202 in NasApp (is,(m,f',pt',p'',c @ c')::ss) end
1208 (* (astep_up ((thy',scr,d),NasApp_) ((E,l,a,v,S,b),[(m,EmptyMout,pt,p,[])])) handle e => print_exn_G e;
1212 (* val (ys as (y,s,Script sc,d),(is as (E,l,a,v,S,b),ss),Const ("Let",_) $ _) =
1213 (ys, ((E,up,a,v,S,b),ss), go up sc);
1215 fun ass_up (ys as (y,s,Script sc,d)) (is as (E,l,a,v,S,b),ss)
1216 (Const ("Let",_) $ _) =
1217 let (*val _= writeln("### ass_up1 Let$e: is=")
1218 val _= writeln(istate2str (ScrState is))*)
1219 val l = drop_last l; (*comes from e, goes to Abs*)
1220 val (Const ("Let",_) $ e $ (Abs (i,T,body))) = go l sc;
1221 val i = mk_Free (i, T);
1222 val E = upd_env E (i, v);
1223 (*val _=writeln("### ass_up2 Let$e: E="^(subst2str E));*)
1224 in case assy (((y,s),d),Aundef) ((E, l@[R,D], a,v,S,b),ss) body of
1225 Assoc iss => Assoc iss
1226 | NasApp iss => astep_up ys iss
1227 | NasNap (v, E) => astep_up ys ((E,l,a,v,S,b),ss) end
1229 | ass_up ys iss (Abs (_,_,_)) =
1230 astep_up ys iss (*TODO 5.9.00: env ?*)
1232 | ass_up ys (iss as (is,_)) (Const ("Let",_) $ e $ (Abs (i,T,b)))=
1233 ((*writeln("### ass_up Let$e$Abs: is=");
1234 writeln(istate2str (ScrState is));*)
1235 astep_up ys iss) (*TODO 5.9.00: env ?*)
1238 | ass_up ysa iss (Const ("Script.Seq",_) $ _ $ _ $ _) =
1239 astep_up ysa iss (*all has been done in (*2*) below*)
1241 | ass_up ysa iss (Const ("Script.Seq",_) $ _ $ _) =
1242 astep_up ysa iss (*2*: comes from e2*)
1244 | ass_up (ysa as (y,s,Script sc,d)) (is as (E,l,a,v,S,b),ss)
1245 (Const ("Script.Seq",_) $ _ ) = (*2*: comes from e1, goes to e2*)
1246 let val up = drop_last l;
1247 val Const ("Script.Seq",_) $ _ $ e2 = go up sc
1248 (*val _= writeln("### ass_up Seq$e: is=")
1249 val _= writeln(istate2str (ScrState is))*)
1250 in case assy (((y,s),d),Aundef) ((E, up@[R], a,v,S,b),ss) e2 of
1251 NasNap (v,E) => astep_up ysa ((E,up,a,v,S,b),ss)
1252 | NasApp iss => astep_up ysa iss
1255 | ass_up ysa iss (Const ("Script.Try",_) $ e $ _) =
1258 | ass_up ysa iss (Const ("Script.Try",_) $ e) =
1261 | ass_up (ys as (y,s,_,d)) ((E,l,_,v,S,b),ss)
1262 (Const ("Script.While",_) $ c $ e $ a) =
1263 ((*writeln("### ass_up: While c= "^
1264 (term2str (subst_atomic (upd_env E (a,v)) c)));*)
1265 if eval_true_ y s (subst_atomic (upd_env E (a,v)) c)
1266 then (case assy (((y,s),d),Aundef) ((E, l@[L,R], Some a,v,S,b),ss) e of
1267 NasNap (v,E') => astep_up ys ((E',l, Some a,v,S,b),ss)
1268 | NasApp ((E',l,a,v,S,b),ss) =>
1269 ass_up ys ((E',l,a,v,S,b),ss) t
1271 else astep_up ys ((E,l, Some a,v,S,b),ss)
1274 | ass_up (ys as (y,s,_,d)) ((E,l,a,v,S,b),ss)
1275 (Const ("Script.While",_) $ c $ e) =
1276 if eval_true_ y s (subst_atomic (upd_env_opt E (a,v)) c)
1277 then (case assy (((y,s),d),Aundef) ((E, l@[R], a,v,S,b),ss) e of
1278 NasNap (v,E') => astep_up ys ((E',l, a,v,S,b),ss)
1279 | NasApp ((E',l,a,v,S,b),ss) =>
1280 ass_up ys ((E',l,a,v,S,b),ss) t
1282 else astep_up ys ((E,l, a,v,S,b),ss)
1284 | ass_up y iss (Const ("If",_) $ _ $ _ $ _) = astep_up y iss
1286 | ass_up (ys as (y,s,_,d)) ((E,l,_,v,S,b),ss)
1287 (t as Const ("Script.Repeat",_) $ e $ a) =
1288 (case assy (((y,s),d), Aundef) ((E, (l@[L,R]), Some a,v,S,b),ss) e of
1289 NasNap (v,E') => astep_up ys ((E',l, Some a,v,S,b),ss)
1290 | NasApp ((E',l,a,v,S,b),ss) =>
1291 ass_up ys ((E',l,a,v,S,b),ss) t
1294 | ass_up (ys as (y,s,_,d)) (is as ((E,l,a,v,S,b),ss))
1295 (t as Const ("Script.Repeat",_) $ e) =
1296 (case assy (((y,s),d), Aundef) ((E, (l@[R]), a,v,S,b),ss) e of
1297 NasNap (v', E') => astep_up ys ((E',l,a,v',S,b),ss)
1298 | NasApp ((E',l,a,v',S,bb),ss) =>
1299 ass_up ys ((E',l,a,v',S,b),ss) t
1302 | ass_up y iss (Const ("Script.Or",_) $ _ $ _ $ _) = astep_up y iss
1304 | ass_up y iss (Const ("Script.Or",_) $ _ $ _) = astep_up y iss
1306 | ass_up y ((E,l,a,v,S,b),ss) (Const ("Script.Or",_) $ _ ) =
1307 astep_up y ((E, (drop_last l), a,v,S,b),ss)
1310 raise error ("ass_up not impl for t= "^(term2str t))
1312 val (ys as (_,_,Script sc,_), ss) =
1313 ((thy',srls,scr,d), [(m,EmptyMout,pt,p,[])]:step list);
1314 astep_up ys ((E,l,a,v,S,b),ss);
1316 val ((ys as (_,_,Script sc,_)), ((E,l,a,v,S,b),ss)) =
1317 ((thy',srls,scr,d), ((E,l,a,v,S,b), [(m,EmptyMout,pt,p,[])]));
1319 and astep_up (ys as (_,_,Script sc,_)) ((E,l,a,v,S,b),ss) =
1322 let val up = drop_last l;
1323 (*val _= writeln("### astep_up: E= "env2str E);*)
1324 in ass_up ys ((E,up,a,v,S,b),ss) (go up sc) end
1325 else (NasNap (v, E))
1332 (* use"ME/script.sml";
1334 term2str (go up sc);
1338 (*check if there are tacs for rewriting only*)
1339 fun rew_only ([]:step list) = true
1340 | rew_only (((Rewrite' _ ,_,_,_,_))::ss) = rew_only ss
1341 | rew_only (((Rewrite_Inst' _ ,_,_,_,_))::ss) = rew_only ss
1342 | rew_only (((Rewrite_Set' _ ,_,_,_,_))::ss) = rew_only ss
1343 | rew_only (((Rewrite_Set_Inst' _ ,_,_,_,_))::ss) = rew_only ss
1344 | rew_only (((Calculate' _ ,_,_,_,_))::ss) = rew_only ss
1345 | rew_only (((Begin_Trans' _ ,_,_,_,_))::ss) = rew_only ss
1346 | rew_only (((End_Trans' _ ,_,_,_,_))::ss) = rew_only ss
1347 | rew_only _ = false;
1351 Steps of istate (*producing hd of step list (which was latest)
1352 for next_tac, for reporting Safe|Unsafe to DG*)
1353 * step (*(scrstate producing this step is in ptree !)*)
1354 list (*locate_gen may produce intermediate steps*)
1355 | NotLocatable; (*no (m Ass m') or (m AssWeak m') found*)
1359 (* locate_gen tries to locate an input tac m in the script.
1360 pursuing this goal the script is executed until an (m' equiv m) is found,
1361 or the end of the script
1363 m : input by the user, already checked by applicable_in,
1364 (to be searched within Or; and _not_ an m doing the step on ptree !)
1365 p,pt: (incl ets) at the time of input
1367 d : canonical simplifier for locating Take, Substitute, Subproblems etc.
1368 ets : ets at the time of input
1369 l : the location (in scr) of the stac which generated the current formula
1371 Steps: pt,p (incl. ets) with m done
1372 pos' list of proofobjs cut (from generate)
1373 safe: implied from last proofobj
1375 ///ToDo : ets contains a list of tacs to be done before m can be done
1376 NOT IMPL. -- "error: do other step before"
1377 NotLocatable: thus generate_hard
1379 (* val (Rewrite'(_,ro,er,pa,(id,str),f,_), p, Rfuns {locate_rule=lo,...},
1380 RrlsState (_,f'',rss,rts)) = (m, (p,p_), sc, is);
1382 fun locate_gen (thy',_) (Rewrite'(_,ro,er,pa,(id,str),f,_)) (pt,p)
1383 (Rfuns {locate_rule=lo,...}, d) (RrlsState (_,f'',rss,rts)) =
1384 (case lo rss f (Thm (id, mk_thm (assoc_thy thy') str)) of
1387 Steps (rts2steps [] ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa)) rts'))
1388 (* val p as(p',p_)=(p,p_);val scr as Script(h $ body)=sc;val (E,l,a,v,S,bb)=is;
1389 locate_gen (thy':theory') (m:tac_) ((pt,p):ptree * pos')
1390 (scr,d) (E,l,a,v,S,bb);
1392 val ts = (thy',srls);
1394 val (scr as Script (h $ body)) = (sc);
1395 val ScrState (E,l,a,v,S,b) = (is);
1397 val (ts as (thy',srls), m, (pt,p),
1398 (scr as Script (h $ body),d), (ScrState (E,l,a,v,S,b))) =
1399 ((thy',srls), m, (pt,(p,p_)), (sc,d), is);
1400 locate_gen (thy',srls) m (pt,p) (Script(h $ body),d)(ScrState(E,l,a,v,S,b));
1402 val (ts as (thy',srls), m, (pt,p),
1403 (scr as Script (h $ body),d), (ScrState (E,l,a,v,S,b))) =
1404 ((thy',srls), m', (pt,(lev_on p,Frm)), (sc,d), is');
1406 val (ts as (thy',srls), m, (pt,p),
1407 (scr as Script (h $ body),d), (ScrState (E,l,a,v,S,b))) =
1408 ((thy',srls), m', (pt,(p, Res)), (sc,d), is');
1410 | locate_gen (ts as (thy',srls)) (m:tac_) ((pt,p):ptree * pos')
1411 (scr as Script (h $ body),d) (ScrState (E,l,a,v,S,b)) =
1412 let (*val _= writeln("### locate_gen-----------------: is=");
1413 val _= writeln( istate2str (ScrState (E,l,a,v,S,b)));
1414 val _= writeln("### locate_gen: l= "^loc_2str l^", p= "^pos'2str p)*)
1415 val thy = assoc_thy thy';
1416 in case if l=[] orelse ((*init.in solve..Apply_Method...*)
1417 (last_elem o fst) p = 0 andalso snd p = Res)
1418 then (assy ((ts,d),Aundef) ((E,[R],a,v,S,b),
1419 [(m,EmptyMout,pt,p,[])]) body)
1420 (* val Assoc (iss as (is as (_,_,_,_,_,bb), ss as ((m',f',pt',p',c')::_))) =
1421 (astep_up (thy',srls,scr,d) ((E,l,a,v,S,b),[(m,EmptyMout,pt,p,[])]));
1422 (assy ((ts,d),Aundef) ((E,[R],a,v,S,b),[(m,EmptyMout,pt,p,[])]) body);
1424 else (astep_up (thy',srls,scr,d) ((E,l,a,v,S,b),
1425 [(m,EmptyMout,pt,p,[])]) ) of
1426 Assoc (iss as (is as (_,_,_,_,_,bb), ss as ((m',f',pt',p',c')::_))) =>
1427 ((*writeln("### locate_gen Assoc: p'="^(pos'2str p'));*)
1428 if bb then Steps (ScrState is, ss)
1429 else if rew_only ss (*andalso 'not bb'= associated weakly*)
1430 then let (*val _=writeln("### locate_gen, bef g1: p="^(pos'2str p));*)
1432 val po' = case p_ of Frm => po | Res => lev_on po
1433 (*WN.12.03: noticed, that pos is also updated in assy !?!
1434 instead take p' from Assoc ?????????????????????????????*)
1435 val (p'',c'',f'',pt'') =
1436 generate1 thy m (ScrState is) (po',p_) pt;
1437 (*val _=writeln("### locate_gen, aft g1: p''="^(pos'2str p''));*)
1438 (*drop the intermediate steps !*)
1439 in Steps (ScrState is, [(m, f'',pt'',p'',c'')]) end
1440 else Steps (ScrState is, ss))
1442 | NasApp _ (*[((E,l,a,v,S,bb),(m',f',pt',p',c'))] =>
1443 raise error ("locate_gen: should not have got NasApp, ets =")*)
1446 if l=[] then NotLocatable
1447 else (*scan from begin of script for rew_only*)
1448 (case assy ((ts,d),Aundef) ((E,[R],a,v,Unsafe,b),
1449 [(m,EmptyMout,pt,p,[])]) body of
1450 Assoc (iss as (is as (_,_,_,_,_,bb),
1451 ss as ((m',f',pt',p',c')::_))) =>
1452 ((*writeln"4### locate_gen Assoc after Fini";*)
1454 then let val(p'',c'',f'',pt'') =
1455 generate1 thy m (ScrState is) p' pt;
1456 (*drop the intermediate steps !*)
1457 in Steps (ScrState is, [(m, f'',pt'',p'',c'')]) end
1459 | _ => ((*writeln ("#### locate_gen: after Fini");*)
1462 | locate_gen _ m _ (sc,_) is =
1463 raise error ("locate_gen: wrong arguments,\n tac= "^(tac_2str m)^
1464 ",\n scr= "^(scr2str sc)^",\n istate= "^(istate2str is));
1468 (** find the next stactic in a script **)
1471 a leaf is either a tactic or an 'exp' in 'let v = expr'
1472 where 'exp' does not contain a tactic.*)
1473 fun handle_leaf thy srls E a v t =
1474 let val t' = subst_atomic (case a of Some a => upd_env E (a,v)
1476 (*was only for list-expr...*)
1477 val t'' = eval_listexpr_ (assoc_thy thy) srls
1478 (subst_atomic (upd_env_opt E (a,v)) t)
1479 val _= if (!trace_script)
1480 then (writeln("@@@ found '"^term2str t^"' and rewritten to '"^
1482 writeln("@@@ t''= "^term2str t''))
1484 in subst_stacexpr E a v t end;
1486 datatype appy = (*ExprVal in the sense of denotational semantics*)
1487 Appy of (*applicable stac found, search stalled*)
1488 tac_ * (*tac_ associated (fun assod) with stac*)
1489 scrstate (*after determination of stac WN.18.8.03*)
1490 | Napp of (*stac found was not applicable;
1491 this mode may become Skip in Repeat, Try and Or*)
1492 env (*stack*) (*popped while nxt_up*)
1493 | Skip of (*for restart after Appy, for leaving iterations,
1494 for passing the value of scriptexpressions,
1495 and for finishing the script successfully*)
1496 term * env (*stack*);
1498 (*appy, nxt_up, nstep_up scanning for next_tac.
1499 search is clearly separated into (1)-(2):
1500 (1) appy is recursive descent;
1501 (2) nxt_up resumes interpretation at a location somewhere in the script;
1502 nstep_up does only get to the parentnode of the scriptexpr.
1504 * call of (2) means _always_ that in this branch below
1505 there was an appl.stac (Repeat, Or e1, ...)
1509 datatype appy_ = (*as argument in nxt_up, nstep_up, from appy*)
1510 (* Appy is only (final) returnvalue, not argument during search
1511 |*) Napp_ (*ev. detects 'script is not appropriate for this example'*)
1512 | Skip_; (*detects 'script successfully finished'
1513 also used as init-value for resuming; this works,
1514 because 'nxt_up Or e1' treats as Appy*)
1516 fun appy thy ptp E l
1517 (t as Const ("Let",_) $ e $ (Abs (i,T,b))) a v =
1518 (* val (thy, ptp, E, l, t as Const ("Let",_) $ e $ (Abs (i,T,b)),a, v)=
1519 (thy, ptp, E, up@[R,D], body, a, v);
1521 ((*writeln("### appy Let$e$Abs: is=");
1522 writeln(istate2str (ScrState (E,l,a,v,Sundef,false)));*)
1523 case appy thy ptp E (l@[L,R]) e a v of
1525 let (*val _= writeln("### appy Let "^(term2str t));
1526 val _= writeln("### appy Let: Skip res ="^(term2str res));*)
1527 (*val (i',b') = variant_abs (i,T,b); WN.15.5.03
1528 val i = mk_Free(i',T); WN.15.5.03 *)
1529 val E' = upd_env E (Free (i,T), res);
1530 in appy thy ptp E' (l@[R,D]) b a v end
1533 | appy (thy as (th,sr)) ptp E l
1534 (t as Const ("Script.While"(*1*),_) $ c $ e $ a) _ v = (*ohne n. 28.9.00*)
1535 ((*writeln("### appy While $ c $ e $ a, upd_env= "^
1536 (subst2str (upd_env E (a,v))));*)
1537 if eval_true_ th sr (subst_atomic (upd_env E (a,v)) c)
1538 then appy thy ptp E (l@[L,R]) e (Some a) v
1541 | appy (thy as (th,sr)) ptp E l
1542 (t as Const ("Script.While"(*2*),_) $ c $ e) a v =(*ohne nachdenken 28.9.00*)
1543 ((*writeln("### appy While $ c $ e, upd_env= "^
1544 (subst2str (upd_env_opt E (a,v))));*)
1545 if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)
1546 then appy thy ptp E (l@[R]) e a v
1549 | appy (thy as (th,sr)) ptp E l (t as Const ("If",_) $ c $ e1 $ e2) a v =
1550 ((*writeln("### appy If: t= "^(term2str t));
1551 writeln("### appy If: c= "^(term2str(subst_atomic(upd_env_opt E(a,v))c)));
1552 writeln("### appy If: thy= "^(fst thy));*)
1553 if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)
1554 then ((*writeln("### appy If: true");*)appy thy ptp E (l@[L,R]) e1 a v)
1555 else ((*writeln("### appy If: false");*)appy thy ptp E (l@[ R]) e2 a v))
1557 | appy thy ptp E (*env*) l
1558 (Const ("Script.Repeat"(*1*),_) $ e $ a) _ v =
1559 ((*writeln("### appy Repeat a: ");*)
1560 appy thy ptp E (*env*) (l@[L,R]) e (Some a) v)
1562 | appy thy ptp E (*env*) l
1563 (Const ("Script.Repeat"(*2*),_) $ e) a v =
1564 ((*writeln("3### appy Repeat: a= "^
1565 (Sign.string_of_term (sign_of (assoc_thy thy)) a));*)
1566 appy thy ptp E (*env*) (l@[R]) e a v)
1569 (t as Const ("Script.Try",_) $ e $ a) _ v =
1570 (case appy thy ptp E (l@[L,R]) e (Some a) v of
1571 Napp E => ((*writeln("### appy Try "^
1572 (Sign.string_of_term (sign_of (assoc_thy thy)) t));*)
1575 (* val (l,t as Const ("Script.Try",_) $ e) = (l@[L,R],e1);
1576 appy thy ptp E l t a v;
1579 (t as Const ("Script.Try",_) $ e) a v =
1580 (case appy thy ptp E (l@[R]) e a v of
1581 Napp E => ((*writeln("### appy Try "^
1582 (Sign.string_of_term (sign_of (assoc_thy thy)) t));*)
1588 (Const ("Script.Or"(*1*),_) $e1 $ e2 $ a) _ v =
1589 (case appy thy ptp E (l@[L,L,R]) e1 (Some a) v of
1590 Appy lme => Appy lme
1591 | _ => appy thy ptp E (*env*) (l@[L,R]) e2 (Some a) v)
1594 (Const ("Script.Or"(*2*),_) $e1 $ e2) a v =
1595 (case appy thy ptp E (l@[L,R]) e1 a v of
1596 Appy lme => Appy lme
1597 | _ => appy thy ptp E (l@[R]) e2 a v)
1601 (Const ("Script.Seq"(*1*),_) $e1 $ e2 $ a) _ v =
1602 ((*writeln("### appy Seq $ e1 $ e2 $ a, upd_env= "^
1603 (subst2str (upd_env E (a,v))));*)
1604 case appy thy ptp E (l@[L,L,R]) e1 (Some a) v of
1605 Skip (v,E) => appy thy ptp E (l@[L,R]) e2 (Some a) v
1607 (* val (l,t as Const ("Script.Seq",_) $e1 $ e2) = (up@[R],e2);
1608 appy thy ptp E l t a v;
1611 (Const ("Script.Seq",_) $e1 $ e2) a v =
1612 (case appy thy ptp E (l@[L,R]) e1 a v of
1613 Skip (v,E) => appy thy ptp E (l@[R]) e2 a v
1616 (*.a leaf has been found*)
1617 | appy (thy as (th,sr)) (pt, p) E l t a v =
1619 val (thy as (th,sr),(pt, p),E, l, t, a, v) =
1620 (thy, ptp, E, up@[R,D], body, a, v);
1621 val (thy as (th,sr),(pt, p),E, l, t, a, v) =
1622 (thy, ptp, E, l@[L,R], e, a, v);
1624 ((*case subst_stacexpr E a v t of*)
1625 case handle_leaf th sr E a v t of
1626 (* val Expr s = subst_stacexpr E a v t;
1628 Expr s => (writeln("### appy, listexpr= "^(term2str t));
1629 (*writeln("### appy, E= "^(env2str E));*)
1630 writeln("### appy, eval(..)= "^(term2str
1631 (eval_listexpr_ (assoc_thy th) sr
1632 (subst_atomic (upd_env_opt E (a,v)) t)) ));(**)
1633 Skip (eval_listexpr_ (assoc_thy th) sr
1634 (subst_atomic (upd_env_opt E (a,v)) t), E) )
1635 (* val STac stac = subst_stacexpr E a v t;
1639 val _= writeln("### appy t, stac= "^(term2str stac))
1641 (*val _= writeln("### appy t, vor stac2tac_ is=");
1642 val _= writeln(istate2str (ScrState (E,l,a,v,Sundef,false)));*)
1643 val (m,m') = stac2tac_ pt (assoc_thy th) stac;
1644 (*val _= writeln("### appy t, nach stac2tac, m= "^(tac2str m));*)
1646 Subproblem _ => Appy (m', (E,l,a,tac_2res m',Sundef,false))
1647 | _ => (case applicable_in p pt m of
1648 (* val Appl m' = applicable_in p pt m;
1651 ((*writeln("### appy: Appy");*)
1652 Appy (m', (E,l,a,tac_2res m',Sundef,false)))
1653 | _ => ((*writeln("### appy: Napp");*)Napp E))
1657 (* val (scr as Script sc, l, t as Const ("Let",_) $ _) =
1658 (Script sc, up, go up sc);
1659 nxt_up thy ptp (Script sc) E l ay t a v;
1660 val (thy,ptp,scr as (Script sc),E,l, ay, t as Const ("Let",_) $ _, a, v)=
1661 (thy,ptp,Script sc, E,up,ay, go up sc, a, v);
1663 fun nxt_up thy ptp (scr as (Script sc)) E l ay
1664 (t as Const ("Let",_) $ _) a v = (*comes from let=...*)
1665 (* val Const ("Let",_) $ _ = (go up sc);
1667 ((*writeln("### nxt_up1 Let$e: is=");
1668 writeln(istate2str (ScrState (E,l,a,v,Sundef,false)));*)
1670 then nstep_up thy ptp scr E (drop_last l) Napp_ a v
1672 let val up = drop_last l;
1673 val (Const ("Let",_) $ e $ (Abs (i,T,body))) = go up sc;
1674 val i = mk_Free (i, T);
1675 val E = upd_env E (i, v);
1676 (*val _= writeln("### nxt_up2 Let$e: is=");
1677 val _= writeln(istate2str (ScrState (E,l,a,v,Sundef,false)));*)
1678 in case appy thy ptp (E) (up@[R,D]) body a v of
1679 Appy lre => Appy lre
1680 | Napp E => nstep_up thy ptp scr E up Napp_ a v
1681 | Skip (v,E) => nstep_up thy ptp scr E up Skip_ a v end)
1683 | nxt_up thy ptp scr E l ay
1684 (t as Abs (_,_,_)) a v =
1685 ((*writeln("### nxt_up Abs: "^
1686 (Sign.string_of_term (sign_of (assoc_thy thy)) t));*)
1687 nstep_up thy ptp scr E (*enr*) l ay a v)
1689 | nxt_up thy ptp scr E l ay
1690 (t as Const ("Let",_) $ e $ (Abs (i,T,b))) a v =
1691 ((*writeln("### nxt_up Let$e$Abs: is=");
1692 writeln(istate2str (ScrState (E,l,a,v,Sundef,false)));*)
1693 (*writeln("### nxt_up Let e Abs: "^
1694 (Sign.string_of_term (sign_of (assoc_thy thy)) t));*)
1695 nstep_up thy ptp scr (*upd_env*) E (*a,v)*)
1696 (*eno,upd_env env (iar,res),iar,res,saf*) l ay a v)
1698 (*no appy_: never causes Napp -> Helpless*)
1699 | nxt_up (thy as (th,sr)) ptp scr E l _
1700 (Const ("Script.While"(*1*),_) $ c $ e $ _) a v =
1701 if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)
1702 then case appy thy ptp E (l@[L,R]) e a v of
1704 | Napp E => nstep_up thy ptp scr E l Skip_ a v
1705 | Skip (v,E) => nstep_up thy ptp scr E l Skip_ a v
1706 else nstep_up thy ptp scr E l Skip_ a v
1708 (*no appy_: never causes Napp - Helpless*)
1709 | nxt_up (thy as (th,sr)) ptp scr E l _
1710 (Const ("Script.While"(*2*),_) $ c $ e) a v =
1711 if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)
1712 then case appy thy ptp E (l@[R]) e a v of
1714 | Napp E => nstep_up thy ptp scr E l Skip_ a v
1715 | Skip (v,E) => nstep_up thy ptp scr E l Skip_ a v
1716 else nstep_up thy ptp scr E l Skip_ a v
1718 (* val (scr, l) = (Script sc, up);
1720 | nxt_up thy ptp scr E l ay (Const ("If",_) $ _ $ _ $ _) a v =
1721 nstep_up thy ptp scr E l ay a v
1723 | nxt_up thy ptp scr E l _ (*no appy_: there was already a stac below*)
1724 (Const ("Script.Repeat"(*1*),T) $ e $ _) a v =
1725 (case appy thy ptp (*upd_env*) E (*a,v)*) ((l@[L,R]):loc_) e a v of
1727 | Napp E => ((*writeln("### nxt_up Repeat a: ");*)
1728 nstep_up thy ptp scr E l Skip_ a v)
1729 | Skip (v,E) => ((*writeln("### nxt_up Repeat: Skip res ="^
1730 (Sign.string_of_term(sign_of (assoc_thy thy)) res'));*)
1731 nstep_up thy ptp scr E l Skip_ a v))
1733 | nxt_up thy ptp scr E l _ (*no appy_: there was already a stac below*)
1734 (Const ("Script.Repeat"(*2*),T) $ e) a v =
1735 (case appy thy ptp (*upd_env*) E (*a,v)*) ((l@[R]):loc_) e a v of
1737 | Napp E => ((*writeln("### nxt_up Repeat a: ");*)
1738 nstep_up thy ptp scr E l Skip_ a v)
1739 | Skip (v,E) => ((*writeln("### nxt_up Repeat: Skip res ="^
1740 (Sign.string_of_term(sign_of (assoc_thy thy)) res'));*)
1741 nstep_up thy ptp scr E l Skip_ a v))
1743 (* val (scr,l,t) = (Script sc,up,go up sc);
1744 nxt_up thy ptp scr E l ay t a v;
1746 | nxt_up thy ptp scr E l _ (*makes Napp to Skip*)
1747 (t as Const ("Script.Try",_) $ e $ _) a v =
1748 ((*writeln("### nxt_up Try "^
1749 (Sign.string_of_term (sign_of (assoc_thy thy)) t));*)
1750 nstep_up thy ptp scr E l Skip_ a v )
1752 | nxt_up thy ptp scr E l _ (*makes Napp to Skip*)
1753 (t as Const ("Script.Try"(*2*),_) $ e) a v =
1754 ((*writeln("### nxt_up Try "^
1755 (Sign.string_of_term (sign_of (assoc_thy thy)) t));*)
1756 nstep_up thy ptp scr (*upd_env*) E (*a,v)*) l Skip_ a v)
1759 | nxt_up thy ptp scr E l ay
1760 (Const ("Script.Or",_) $ _ $ _ $ _) a v = nstep_up thy ptp scr E l ay a v
1762 | nxt_up thy ptp scr E l ay
1763 (Const ("Script.Or",_) $ _ $ _) a v = nstep_up thy ptp scr E l ay a v
1765 | nxt_up thy ptp scr E l ay
1766 (Const ("Script.Or",_) $ _ ) a v =
1767 nstep_up thy ptp scr E (drop_last l) ay a v
1770 | nxt_up thy ptp scr E l ay (*all has been done in (*2*) below*)
1771 (Const ("Script.Seq"(*1*),_) $ _ $ _ $ _) a v =
1772 nstep_up thy ptp scr E l ay a v
1774 | nxt_up thy ptp scr E l ay (*comes from e2*)
1775 (Const ("Script.Seq"(*2*),_) $ _ $ e2) a v =
1776 nstep_up thy ptp scr E l ay a v
1777 (* val (scr as Script sc,l,t) = (Script sc,up,go up sc);
1778 !! Const ("Script.Seq",_ $ _
1779 nxt_up thy ptp scr E l ay t a v;
1781 | nxt_up thy ptp (scr as Script sc) E l ay (*comes from e1*)
1782 (Const ("Script.Seq",_) $ _ ) a v =
1784 then nstep_up thy ptp scr E (drop_last l) Napp_ a v
1786 let val up = drop_last l;
1787 val Const ("Script.Seq"(*2*),_) $ _ $ e2 = go up sc;
1788 in case appy thy ptp E (up@[R]) e2 a v of
1790 | Napp E => nstep_up thy ptp scr E up Napp_ a v
1791 | Skip (v,E) => nstep_up thy ptp scr E up Skip_ a v end
1793 | nxt_up (thy,_) ptp scr E l ay t a v =
1794 raise error ("nxt_up not impl for "^
1795 (Sign.string_of_term (sign_of (assoc_thy thy)) t))
1797 (* val (thy, ptp, (Script sc), E, l, ay, a, v)=
1798 (thy, ptp, sc, E, l, Skip_, a, v);
1800 and nstep_up thy ptp (Script sc) E l ay a v =
1801 ((*writeln("### nstep_up from: "^(loc_2str l));
1802 writeln("### nstep_up from: "^
1803 (Sign.string_of_term (sign_of (assoc_thy thy)) (go l sc)));*)
1807 val up = drop_last l;
1808 in ((*writeln("### nstep_up to: "^
1809 (Sign.string_of_term (sign_of (assoc_thy thy)) (go up sc)));*)
1810 nxt_up thy ptp (Script sc) E up ay (go up sc) a v ) end
1811 else (*interpreted to end*)
1812 if ay = Skip_ then Skip (v, E) else Napp E
1815 (* decide for the next applicable stac in the script;
1816 returns (stactic, value) - the value in case the script is finished
1817 12.8.02: ~~~~~ and no assumptions ??? FIXME ???
1818 20.8.02: must return p in case of finished, because the next script
1819 consulted need not be the calling script:
1820 in case of detail ie. _inserted_ PrfObjs, the next stac
1821 has to searched in a script with PblObj.status<>Complete !
1822 (.. not true for other details ..PrfObj ??????????????????
1823 20.8.02: do NOT return safe (is only changed in locate !!!)
1825 (* val (thy, (pt,p), Rfuns {next_rule=ne,...}, RrlsState (f,f',rss,_)) =
1826 (thy', (pt,p), sc, RrlsState (ii t));
1827 val (thy, (pt,p), Rfuns {next_rule=ne,...}, RrlsState (f,f',rss,_)) =
1828 (thy', (pt',p'), sc, is');
1830 fun next_tac (thy,_) (pt,p) (Rfuns {next_rule,...}) (RrlsState(f,f',rss,_))=
1831 if f = f' then (End_Detail' (f',[])(*8.6.03*), Uistate,
1832 (f', Sundef(*FIXME is no value of next_tac! vor 8.6.03*)))
1834 else (case next_rule rss f of
1835 None => (Empty_Tac_, Uistate, (e_term, Sundef)) (*helpless*)
1836 (* val Some (Thm (id,thm)) = next_rule rss f;
1838 | Some (Thm (id,thm))(*8.6.03: muss auch f' liefern ?!!*) =>
1839 (Rewrite' (thy, "e_rew_ord", e_rls,(*!?!8.6.03*) false,
1840 (id, string_of_thm' thm), f,(e_term,[(*!?!8.6.03*)])),
1841 Uistate, (e_term, Sundef))) (*next stac*)
1844 val(thy, ptp as (pt,(p,_)), sc as Script (h $ body),ScrState (E,l,a,v,s,b))=
1845 ((thy',srls), (pt,pos), sc, is);
1847 | next_tac thy (ptp as (pt,(p,_)):ptree * pos') (sc as Script (h $ body))
1848 (ScrState (E,l,a,v,s,b)) =
1849 ((*writeln("### next_tac-----------------: E= ");
1850 writeln( istate2str (ScrState (E,l,a,v,s,b)));*)
1851 case if l=[] then appy thy ptp E [R] body None e_term
1852 else nstep_up thy ptp sc E l Skip_ a v of
1853 Skip (v,_) => (*finished*)
1854 (case par_pbl_det pt p of
1856 let val (_,pblID,_) = get_obj g_spec pt p';
1857 in (Check_Postcond' (pblID, (v, [(*8.6.03 NO asms???*)])),
1858 e_istate, (v,s)) end
1859 | (_,p',rls') => (End_Detail' (e_term,[])(*8.6.03*), e_istate, (v,s)))
1860 | Napp _ => (Empty_Tac_, e_istate, (e_term, Sundef)) (*helpless*)
1861 | Appy (m', scrst as (_,_,_,v,_,_)) => (m', ScrState scrst,
1862 (v, Sundef))) (*next stac*)
1864 | next_tac _ _ _ is = raise error ("next_tac: not impl for "^
1870 (*.create the initial interpreter state from the items of the guard.*)
1871 (* val (thy, itms, metID) = (thy, itms, mI);
1873 fun init_scrstate thy itms metID =
1874 let val actuals = itms2args thy metID itms;
1875 val scr as Script sc = (#scr o get_met) metID;
1876 val formals = formal_args sc
1877 (*expects same sequence of (actual) args in itms
1878 and (formal) args in met*)
1879 fun relate_args env [] [] = env
1880 | relate_args env _ [] =
1881 raise error ("ERROR in creating the environment for '"
1882 ^id_of_scr sc^"' from \nthe items of the guard of "
1883 ^metID2str metID^",\n\
1884 \formal arg(s) miss actual arg(s):\n"
1885 ^(string_of_int o length) formals
1886 ^" formals: "^terms2str formals^"\n"
1887 ^(string_of_int o length) actuals
1888 ^" actuals: "^terms2str actuals)
1889 | relate_args env [] actual_finds = env (*may drop Find!*)
1890 | relate_args env (a::aa) (f::ff) =
1891 if type_of a = type_of f
1892 then relate_args (env @ [(a, f)]) aa ff else
1893 raise error ("ERROR in creating the environment for '"
1894 ^id_of_scr sc^"' from \nthe items of the guard of "
1895 ^metID2str metID^",\n\
1896 \different types of formal arg and actual arg:'\n\
1897 \formal: '"^term2str a^"::"^(type2str o type_of) a^"'\n\
1898 \actual: '"^term2str f^"::"^(type2str o type_of) f^"'\n\
1900 \formals: "^terms2str formals^"\n\
1901 \actuals: "^terms2str actuals)
1902 val env = relate_args [] formals actuals;
1903 in (ScrState (env,[],None,e_term,Safe,true), scr):istate * scr end;
1905 (*.decide, where to get script/istate from:
1906 (*1*) from PblObj.env: at begin of script if no init_form
1907 (*2*) from PblObj/PrfObj: if stac is in the middle of the script
1908 (*3*) from rls/PrfObj: in case of detail a ruleset.*)
1909 fun from_pblobj_or_detail' thy' (p,p_) pt =
1911 then case get_obj g_env pt p of
1912 None => raise error "from_pblobj_or_detail': no istate"
1914 let val metID = get_obj g_metID pt p
1915 val {srls,...} = get_met metID
1916 in (srls, is, (#scr o get_met) metID) end
1918 let val (pbl,p',rls') = par_pbl_det pt p
1921 let val thy = assoc_thy thy'
1922 val PblObj{meth=itms,...} = get_obj I pt p'
1923 val metID = get_obj g_metID pt p'
1924 val {srls,...} = get_met metID
1925 in (*if last_elem p = 0 (*nothing written to pt yet*)
1926 then let val (is, sc) = init_scrstate thy itms metID
1927 in (srls, is, sc) end
1928 else*) (srls, get_istate pt (p,p_), (#scr o get_met) metID)
1931 (e_rls, (*FIXME: get from pbl or met !!!
1932 unused for Rrls in locate_gen, next_tac*)
1933 get_istate pt (p,p_),
1935 Rls {scr=scr,...} => scr
1936 | Rrls {scr=rfuns,...} => rfuns)
1939 (*.get script and istate from PblObj, see (*1*) above.*)
1940 fun from_pblobj' thy' (p,p_) pt =
1941 let val p' = par_pblobj pt p
1942 val thy = assoc_thy thy'
1943 val PblObj{meth=itms,...} = get_obj I pt p'
1944 val metID = get_obj g_metID pt p'
1945 val {srls,scr,...} = get_met metID
1946 in if last_elem p = 0 (*nothing written to pt yet*)
1947 then let val (is, scr) = init_scrstate thy itms metID
1948 in (srls, is, scr) end
1949 else (srls, get_istate pt (p,p_), scr)
1957 (* use"ME/script.sml";