intermed. ctxt ..: x+1=2 now goes until Check_elementwise
1 (* interpreter for scripts
2 (c) Walther Neuper 2000
7 signature INTERPRETER =
9 (*type ets (list of executed tactics) see sequent.sml*)
13 | Steps of (tac_ * mout * ptree * pos' * cid * safe (* ets*)) list
14 (* | ToDo of ets 28.4.02*)
16 (*diss: next-tactic-function*)
17 val next_tac : theory' -> ptree * pos' -> metID -> scr -> ets -> tac_
18 (*diss: locate-function*)
19 val locate_gen : theory'
21 -> ptree * pos' -> scr * rls -> ets -> loc_ -> locate
23 val sel_rules : ptree -> pos' -> tac list
24 val init_form : scr -> ets -> loc_ * term option (*FIXME not up to date*)
25 val formal_args : term -> term list
27 (*shift to library ...*)
28 val inst_abs : theory' -> term -> term
29 val itms2args : metID -> itm list -> term list
30 val user_interrupt : loc_ * (tac_ * env * env * term * term * safe)
38 structure Interpreter : INTERPRETER =
42 (*.traces the leaves (ie. non-tactical nodes) of the script
44 a leaf is either a tactic or an 'exp' in 'let v = expr'
45 where 'exp' does not contain a tactic.*)
46 val trace_script = Unsynchronized.ref false;
48 type step = (*data for creating a new node in the ptree;
50 fun ass* scrstate steps =
51 ... case ass* scrstate steps of
52 Assoc (scrstate, steps) => ... ass* scrstate steps*)
53 tac_ (*transformed from associated tac*)
54 * mout (*result with indentation etc.*)
55 * ptree (*containing node created by tac_ + resp. scrstate*)
56 * pos' (*position in ptree; ptree * pos' is the proofstate*)
57 * pos' list; (*of ptree-nodes probably cut (by fst tac_)*)
58 val e_step = (Empty_Tac_, EmptyMout, EmptyPtree, e_pos',[]:pos' list):step;
60 fun rule2thm' (Thm (id, thm)) = (id, string_of_thmI thm):thm'
61 | rule2thm' r = error ("rule2thm': not defined for "^(rule2str r));
62 fun rule2rls' (Rls_ rls) = id_rls rls
63 | rule2rls' r = error ("rule2rls': not defined for "^(rule2str r));
65 (*.makes a (rule,term) list to a Step (m, mout, pt', p', cid) for solve;
66 complicated with current t in rrlsstate.*)
67 fun rts2steps steps ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa)) [(r, (f', am))] =
68 let val thy = assoc_thy thy'
69 val m = Rewrite' (thy',ro,er,pa, rule2thm' r, f, (f', am))
70 val is = RrlsState (f',f'',rss,rts)
71 val p = case p of (p',Frm) => p | (p',Res) => (lev_on p',Res)
72 val (p', cid, mout, pt') = generate1 thy m (is, e_ctxt) p pt
73 in (is, (m, mout, pt', p', cid)::steps) end
74 | rts2steps steps ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa))
75 ((r, (f', am))::rts') =
76 let val thy = assoc_thy thy'
77 val m = Rewrite' (thy',ro,er,pa, rule2thm' r, f, (f', am))
78 val is = RrlsState (f',f'',rss,rts)
79 val p = case p of (p',Frm) => p | (p',Res) => (lev_on p',Res)
80 val (p', cid, mout, pt') = generate1 thy m (is, e_ctxt) p pt
81 in rts2steps ((m, mout, pt', p', cid)::steps)
82 ((pt',p'),(f',f'',rss,rts),(thy',ro,er,pa)) rts' end;
85 (*. functions for the environment stack .*)
86 fun accessenv id es = the (assoc((top es):env, id))
87 handle _ => error ("accessenv: "^(free2str id)^" not in env");
88 fun updateenv id vl (es:env stack) =
89 (push (overwrite(top es, (id, vl))) (pop es)):env stack;
90 fun pushenv id vl (es:env stack) =
91 (push (overwrite(top es, (id, vl))) es):env stack;
92 val popenv = pop:env stack -> env stack;
96 fun de_esc_underscore str =
98 | scan (s::ss) = if s = "'" then (scan ss)
100 in (implode o scan o Symbol.explode) str end;
102 > val str = "Rewrite_Set_Inst";
103 > val esc = esc_underscore str;
104 val it = "Rewrite'_Set'_Inst" : string
105 > val des = de_esc_underscore esc;
106 val des = de_esc_underscore esc;*)
108 (*go at a location in a script and fetch the contents*)
110 | go (D::p) (Abs(s,ty,t0)) = go (p:loc_) t0
111 | go (L::p) (t1 $ t2) = go p t1
112 | go (R::p) (t1 $ t2) = go p t2
113 | go l _ = error ("go: no "^(loc_2str l));
115 > val t = (term_of o the o (parse thy)) "a+b";
116 val it = Const (#,#) $ Free (#,#) $ Free ("b","RealDef.real") : term
117 > val plus_a = go [L] t;
119 > val plus = go [L,L] t;
120 > val a = go [L,R] t;
122 > val t = (term_of o the o (parse thy)) "a+b+c";
123 val t = Const (#,#) $ (# $ # $ Free #) $ Free ("c","RealDef.real") : term
124 > val pl_pl_a_b = go [L] t;
126 > val a = go [L,R,L,R] t;
127 > val b = go [L,R,R] t;
131 (* get a subterm t with test t, and record location *)
132 fun get l test (t as Const (s,T)) =
133 if test t then SOME (l,t) else NONE
134 | get l test (t as Free (s,T)) =
135 if test t then SOME (l,t) else NONE
136 | get l test (t as Bound n) =
137 if test t then SOME (l,t) else NONE
138 | get l test (t as Var (s,T)) =
139 if test t then SOME (l,t) else NONE
140 | get l test (t as Abs (s,T,body)) =
141 if test t then SOME (l:loc_,t) else get ((l@[D]):loc_) test body
142 | get l test (t as t1 $ t2) =
143 if test t then SOME (l,t)
144 else case get (l@[L]) test t1 of
145 NONE => get (l@[R]) test t2
146 | SOME (l',t') => SOME (l',t');
148 > val sss = ((term_of o the o (parse thy))
149 "Script Solve_root_equation (eq_::bool) (v_::real) (err_::bool) =\
150 \ (let e_ = Try (Rewrite square_equation_left True eq_) \
152 ______ compares head_of !!
153 > get [] (eq_str "HOL.Let") sss; [R]
154 > get [] (eq_str "Script.Try") sss; [R,L,R]
155 > get [] (eq_str "Script.Rewrite") sss; [R,L,R,R]
156 > get [] (eq_str "HOL.True") sss; [R,L,R,R,L,R]
157 > get [] (eq_str "e_") sss; [R,R]
160 fun test_negotiable t =
161 member op = (!negotiable)
162 ((strip_thy o (term_str (Thy_Info.get_theory "Script")) o head_of) t);
164 (*.get argument of first stactic in a script for init_form.*)
165 fun get_stac thy (h $ body) =
167 fun get_t y (Const ("Script.Seq",_) $ e1 $ e2) a =
168 (case get_t y e1 a of NONE => get_t y e2 a | la => la)
169 | get_t y (Const ("Script.Seq",_) $ e1 $ e2 $ a) _ =
170 (case get_t y e1 a of NONE => get_t y e2 a | la => la)
171 | get_t y (Const ("Script.Try",_) $ e) a = get_t y e a
172 | get_t y (Const ("Script.Try",_) $ e $ a) _ = get_t y e a
173 | get_t y (Const ("Script.Repeat",_) $ e) a = get_t y e a
174 | get_t y (Const ("Script.Repeat",_) $ e $ a) _ = get_t y e a
175 | get_t y (Const ("Script.Or",_) $e1 $ e2) a =
176 (case get_t y e1 a of NONE => get_t y e2 a | la => la)
177 | get_t y (Const ("Script.Or",_) $e1 $ e2 $ a) _ =
178 (case get_t y e1 a of NONE => get_t y e2 a | la => la)
179 | get_t y (Const ("Script.While",_) $ c $ e) a = get_t y e a
180 | get_t y (Const ("Script.While",_) $ c $ e $ a) _ = get_t y e a
181 | get_t y (Const ("Script.Letpar",_) $ e1 $ Abs (_,_,e2)) a =
182 (case get_t y e1 a of NONE => get_t y e2 a | la => la)
183 (*| get_t y (Const ("HOL.Let",_) $ e1 $ Abs (_,_,e2)) a =
184 (tracing("get_t: Let e1= "^(term2str e1)^", e2= "^(term2str e2));
185 case get_t y e1 a of NONE => get_t y e2 a | la => la)
186 | get_t y (Abs (_,_,e)) a = get_t y e a*)
187 | get_t y (Const ("HOL.Let",_) $ e1 $ Abs (_,_,e2)) a =
188 get_t y e1 a (*don't go deeper without evaluation !*)
189 | get_t y (Const ("If",_) $ c $ e1 $ e2) a = NONE
190 (*(case get_t y e1 a of NONE => get_t y e2 a | la => la)*)
192 | get_t y (Const ("Script.Rewrite",_) $ _ $ _ $ a) _ = SOME a
193 | get_t y (Const ("Script.Rewrite",_) $ _ $ _ ) a = SOME a
194 | get_t y (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ $ a) _ = SOME a
195 | get_t y (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ ) a = SOME a
196 | get_t y (Const ("Script.Rewrite'_Set",_) $ _ $ _ $ a) _ = SOME a
197 | get_t y (Const ("Script.Rewrite'_Set",_) $ _ $ _ ) a = SOME a
198 | get_t y (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ $a)_ =SOME a
199 | get_t y (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ ) a =SOME a
200 | get_t y (Const ("Script.Calculate",_) $ _ $ a) _ = SOME a
201 | get_t y (Const ("Script.Calculate",_) $ _ ) a = SOME a
203 | get_t y (Const ("Script.Substitute",_) $ _ $ a) _ = SOME a
204 | get_t y (Const ("Script.Substitute",_) $ _ ) a = SOME a
206 | get_t y (Const ("Script.SubProblem",_) $ _ $ _) _ = NONE
209 ((*tracing ("### get_t yac: list-expr "^(term2str x));*)
211 in get_t thy body e_term end;
213 (*FIXME: get 1st stac by next_stac [] instead of ... ?? 29.7.02*)
214 (* val Script sc = scr;
216 fun init_form thy (Script sc) env =
217 (case get_stac thy sc of
219 (*error ("init_form: no 1st stac in "^
220 (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy)) sc))*)
221 | SOME stac => SOME (subst_atomic env stac))
222 | init_form _ _ _ = error "init_form: no match";
224 (* use"ME/script.sml";
230 (*the 'iteration-argument' of a stac (args not eval)*)
231 fun itr_arg _ (Const ("Script.Rewrite'_Inst",_) $ _ $ _ $ _ $ v) = v
232 | itr_arg _ (Const ("Script.Rewrite",_) $ _ $ _ $ v) = v
233 | itr_arg _ (Const ("Script.Rewrite'_Set'_Inst",_) $ _ $ _ $ _ $ v) = v
234 | itr_arg _ (Const ("Script.Rewrite'_Set",_) $ _ $ _ $ v) = v
235 | itr_arg _ (Const ("Script.Calculate",_) $ _ $ v) = v
236 | itr_arg _ (Const ("Script.Check'_elementwise",_) $ consts $ _) = consts
237 | itr_arg _ (Const ("Script.Or'_to'_List",_) $ _) = e_term
238 | itr_arg _ (Const ("Script.Tac",_) $ _) = e_term
239 | itr_arg _ (Const ("Script.SubProblem",_) $ _ $ _) = e_term
240 | itr_arg thy t = error
241 ("itr_arg not impl. for " ^
242 (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt (assoc_thy thy))) t));
243 (* val t = (term_of o the o (parse thy))"Rewrite rroot_square_inv False e_";
244 > itr_arg "Script" t;
245 val it = Free ("e_","RealDef.real") : term
246 > val t = (term_of o the o (parse thy))"xxx";
247 > itr_arg "Script" t;
248 *** itr_arg not impl. for xxx
249 uncaught exception ERROR
250 raised at: library.ML:1114.35-1114.40*)
253 (*.get the arguments of the script out of the scripts parsetree.*)
254 fun formal_args scr = (fst o split_last o snd o strip_comb) scr;
257 [Free ("f_","RealDef.real"),Free ("v_","RealDef.real"),
258 Free ("eqs_","bool List.list")] : term list
261 (*.get the identifier of the script out of the scripts parsetree.*)
262 fun id_of_scr sc = (id_of o fst o strip_comb) sc;
265 (*WN020526: not clear, when a is available in ass_up for eva-_true*)
266 (*WN060906: in "fun handle_leaf" eg. uses "SOME M__"(from some PREVIOUS
267 curried Rewrite) for CURRENT value (which may be different from PREVIOUS);
268 thus "NONE" must be set at the end of currying (ill designed anyway)*)
269 fun upd_env_opt env (SOME a, v) = upd_env env (a,v)
270 | upd_env_opt env (NONE, v) =
271 (tracing("*** upd_env_opt: (NONE,"^(term2str v)^")");env);
274 type dsc = typ; (*<-> nam..unknow in Descript.thy*)
275 fun typ_str (Type (s,_)) = s
276 | typ_str (TFree(s,_)) = s
277 | typ_str (TVar ((s,i),_)) = s^(string_of_int i);
279 (*get the _result_-type of a description*)
280 fun dsc_valT (Const (_,(Type (_,[_,T])))) = (strip_thy o typ_str) T;
281 (*> val t = (term_of o the o (parse thy)) "equality";
283 val T = "bool => Tools.una" : typ
284 > val dsc = dsc_valT t;
285 val dsc = "una" : string
287 > val t = (term_of o the o (parse thy)) "fixedValues";
289 val T = "bool List.list => Tools.nam" : typ
290 > val dsc = dsc_valT t;
291 val dsc = "nam" : string*)
293 (*.from penv in itm_ make args for script depending on type of description.*)
294 (*6.5.03 TODO: push penv into script -- and drop mk_arg here || drop penv
295 9.5.03 penv postponed: penv = env for script at the moment, (*mk_arg*)*)
296 fun mk_arg thy d [] =
297 error ("mk_arg: no data for " ^
298 (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy)) d))
304 r as (Const ("HOL.eq",_) $ _ $ _) => r
305 | _ => error ("mk_arg: dsc-typ 'nam' applied to non-equality "^
306 (Print_Mode.setmp [] (Syntax.string_of_term
308 | s => error ("mk_arg: not impl. for "^s))
310 | mk_arg thy d (t::ts) = (mk_arg thy d [t]) @ (mk_arg thy d ts);
313 val [t] = ts_in itm_;
320 (*.create the actual parameters (args) of script: their order
321 is given by the order in met.pat .*)
322 (*WN.5.5.03: ?: does this allow for different descriptions ???
323 ?: why not taken from formal args of script ???
324 !: FIXXXME penv: push it here in itms2args into script-evaluation*)
325 (* val (thy, mI, itms) = (thy, metID, itms);
327 fun itms2args thy mI (itms:itm list) =
328 let val mvat = max_vt itms
329 fun okv mvat (_,vats,b,_,_) = member op = vats mvat andalso b
330 val itms = filter (okv mvat) itms
331 fun test_dsc d (_,_,_,_,itm_) = (d = d_in itm_)
332 fun itm2arg itms (_,(d,_)) =
333 case find_first (test_dsc d) itms of
335 error ("itms2args: '"^term2str d^"' not in itms")
336 (*| SOME (_,_,_,_,itm_) => mk_arg thy (d_in itm_) (ts_in itm_);
337 penv postponed; presently penv holds already env for script*)
338 | SOME (_,_,_,_,itm_) => penvval_in itm_
339 fun sel_given_find (s,_) = (s = "#Given") orelse (s = "#Find")
340 val pats = (#ppc o get_met) mI
341 in (flat o (map (itm2arg itms))) pats end;
343 > val sc = ... Solve_root_equation ...
344 > val mI = ("Script","sqrt-equ-test");
345 > val PblObj{meth={ppc=itms,...},...} = get_obj I pt [];
346 > val ts = itms2args thy mI itms;
347 > map (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy))) ts;
348 ["sqrt (#9 + #4 * x) = sqrt x + sqrt (#5 + x)","x","#0"] : string list
352 (*["BOOL (1+x=2)","REAL x"] --match_ags--> oris
353 --oris2fmz_vals--> ["equality (1+x=2)","boundVariable x","solutions L"]*)
354 fun oris2fmz_vals oris =
355 let fun ori2fmz_vals ((_,_,_,dsc,ts):ori) =
356 ((term2str o comp_dts') (dsc, ts), last_elem ts)
357 handle _ => error ("ori2fmz_env called with "^terms2str ts)
358 in (split_list o (map ori2fmz_vals)) oris end;
360 (*detour necessary, because generate1 delivers a string-result*)
361 fun mout2term thy (Form' (FormKF (_,_,_,_,res))) =
362 (term_of o the o (parse (assoc_thy thy))) res
363 | mout2term thy (Form' (PpcKF _)) = e_term;(*3.8.01: res of subpbl
364 at time of detection in script*)
366 (*.convert a script-tac 'stac' to a tactic 'tac'; if stac is an initac,
367 then convert to a 'tac_' (as required in appy).
368 arg pt:ptree for pushing the thy specified in rootpbl into subpbls.*)
369 fun stac2tac_ pt thy (Const ("Script.Rewrite",_) $ Free (thmID,_) $ _ $ f) =
371 val tid = (de_esc_underscore o strip_thy) thmID
372 in (Rewrite (tid, (string_of_thmI o (assoc_thm' thy)) (tid,"")), Empty_Tac_)
375 | stac2tac_ pt thy (Const ("Script.Rewrite'_Inst",_) $ sub $ Free (thmID,_) $ _ $ f) =
377 val subML = ((map isapair2pair) o isalist2list) sub
378 val subStr = subst2subs subML
379 val tid = (de_esc_underscore o strip_thy) thmID (*4.10.02 unnoetig*)
380 in (Rewrite_Inst (subStr, (tid, (string_of_thmI o (assoc_thm' thy)) (tid,""))), Empty_Tac_)
383 | stac2tac_ pt thy (Const ("Script.Rewrite'_Set",_) $ Free (rls,_) $ _ $ f) =
384 (Rewrite_Set ((de_esc_underscore o strip_thy) rls), Empty_Tac_)
386 | stac2tac_ pt thy (Const ("Script.Rewrite'_Set'_Inst",_) $ sub $ Free (rls,_) $ _ $ f) =
388 val subML = ((map isapair2pair) o isalist2list) sub;
389 val subStr = subst2subs subML;
390 in (Rewrite_Set_Inst (subStr,rls), Empty_Tac_) end
392 | stac2tac_ pt thy (Const ("Script.Calculate",_) $ Free (op_,_) $ f) =
393 (Calculate op_, Empty_Tac_)
395 | stac2tac_ pt thy (Const ("Script.Take",_) $ t) =
396 (Take (term2str t), Empty_Tac_)
398 | stac2tac_ pt thy (Const ("Script.Substitute",_) $ isasub $ arg) =
399 (Substitute ((subte2sube o isalist2list) isasub), Empty_Tac_)
401 | stac2tac_ pt thy (Const("Script.Check'_elementwise",_) $ _ $
402 (set as Const ("Collect",_) $ Abs (_,_,pred))) =
403 (Check_elementwise (Print_Mode.setmp [] (Syntax.string_of_term
404 (thy2ctxt thy)) pred), (*set*)Empty_Tac_)
406 | stac2tac_ pt thy (Const("Script.Or'_to'_List",_) $ _ ) =
407 (Or_to_List, Empty_Tac_)
409 (*12.1.01.for subproblem_equation_dummy in root-equation *)
410 | stac2tac_ pt thy (Const ("Script.Tac",_) $ Free (str,_)) =
411 (Tac ((de_esc_underscore o strip_thy) str), Empty_Tac_)
413 (*compare "| assod _ (Subproblem'"*)
414 | stac2tac_ pt thy (stac as Const ("Script.SubProblem",_) $
415 (Const ("Product_Type.Pair",_) $Free (dI',_) $
416 (Const ("Product_Type.Pair",_) $ pI' $ mI')) $ ags') =
418 val dI = ((implode o drop_last(*.."'"*) o Symbol.explode) dI')(*^""*);
419 val thy = maxthy (assoc_thy dI) (rootthy pt);
420 val pI = ((map (de_esc_underscore o free2str)) o isalist2list) pI';
421 val mI = ((map (de_esc_underscore o free2str)) o isalist2list) mI';
422 val ags = isalist2list ags';
427 val pors = (match_ags thy ((#ppc o get_pbt) pI) ags)
428 handle ERROR "actual args do not match formal args"
429 => (match_ags_msg pI stac ags(*raise exn*); [])
430 val pI' = refine_ori' pors pI;
431 in (pI', pors (*refinement over models with diff.prec only*),
432 (hd o #met o get_pbt) pI') end
433 else (pI, (match_ags thy ((#ppc o get_pbt) pI) ags)
434 handle ERROR "actual args do not match formal args"
435 => (match_ags_msg pI stac ags(*raise exn*); []), mI);
436 val (fmz_, vals) = oris2fmz_vals pors;
437 val {cas,ppc,thy,...} = get_pbt pI
438 val dI = theory2theory' thy (*.take dI from _refined_ pbl.*)
439 val dI = theory2theory' (maxthy (assoc_thy dI) (rootthy pt));
442 NONE => pblterm dI pI
443 | SOME t => subst_atomic ((vars_of_pbl_' ppc) ~~~ vals) t
444 val ctxt = declare_constraints' vals (ProofContext.init_global thy)
445 val f = subpbl (strip_thy dI) pI
446 in (Subproblem (dI, pI), Subproblem' ((dI, pI, mI), pors, hdl, fmz_, ctxt, f))
449 | stac2tac_ pt thy t = error
450 ("stac2tac_ TODO: no match for " ^
451 (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy)) t));
453 fun stac2tac pt thy t = (fst o stac2tac_ pt thy) t;
455 (*test a term for being a _list_ (set ?) of constants; could be more rigorous*)
456 fun list_of_consts (Const ("List.list.Cons",_) $ _ $ _) = true
457 | list_of_consts (Const ("List.list.Nil",_)) = true
458 | list_of_consts _ = false;
459 (*val ttt = (term_of o the o (parse thy)) "[x=#1,x=#2,x=#3]";
460 > list_of_consts ttt;
462 > val ttt = (term_of o the o (parse thy)) "[]";
463 > list_of_consts ttt;
464 val it = true : bool*)
470 tac_ * (* SubProblem gets args instantiated in assod *)
471 term (* for itr_arg, result in ets *)
474 term (*for itr_arg,result in ets*)
477 (*.assod: tac_ associated with stac w.r.t. d
479 pt:ptree for pushing the thy specified in rootpbl into subpbls
481 Ass : associated: e.g. thmID in stac = thmID in m
482 +++ arg in stac = arg in m
483 AssWeak: weakly ass.:e.g. thmID in stac = thmID in m, //arg//
484 NotAss : e.g. thmID in stac/=/thmID in m (not =)
486 tac_ SubProblem with args completed from script
488 fun assod pt d (m as Rewrite_Inst' (thy',rod,rls,put,subs,(thmID,thm),f,(f',asm))) stac =
490 (Const ("Script.Rewrite'_Inst",_) $ subs_ $ Free (thmID_,idT) $b$f_) =>
494 then ((*tracing"3### assod ..Ass";*)Ass (m,f'))
495 else ((*tracing"3### assod ..AssWeak";*)AssWeak(m, f'))
496 else ((*tracing"3### assod ..NotAss";*)NotAss)
497 | (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free (rls_,_) $_$f_) =>
498 if contains_rule (Thm (thmID, refl(*dummy*))) (assoc_rls rls_)
500 if f = f_ then Ass (m,f') else AssWeak (m,f')
504 | assod pt d (m as Rewrite' (thy,rod,rls,put,(thmID,thm),f,(f',asm))) stac =
506 (t as Const ("Script.Rewrite",_) $ Free (thmID_,idT) $ b $ f_) =>
507 ((*tracing ("3### assod: stac = " ^ ter2str t);
508 tracing ("3### assod: f(m)= " ^ term2str f);*)
512 then ((*tracing"3### assod ..Ass";*)Ass (m,f'))
514 ((*tracing"### assod ..AssWeak";
515 tracing("### assod: f(m) = " ^ term2str f);
516 tracing("### assod: f(stac)= " ^ term2str f_)*)
518 else ((*tracing"3### assod ..NotAss";*)NotAss))
519 | (Const ("Script.Rewrite'_Set",_) $ Free (rls_,_) $ _ $ f_) =>
520 if contains_rule (Thm (thmID, refl(*dummy*))) (assoc_rls rls_)
522 if f = f_ then Ass (m,f') else AssWeak (m,f')
526 | assod pt d (m as Rewrite_Set_Inst' (thy',put,sub,rls,f,(f',asm)))
527 (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free (rls_,_) $ _ $ f_) =
530 if f = f_ then Ass (m,f') else AssWeak (m,f')
533 | assod pt d (m as Detail_Set_Inst' (thy',put,sub,rls,f,(f',asm)))
534 (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free (rls_,_) $ _ $ f_) =
537 if f = f_ then Ass (m,f') else AssWeak (m,f')
540 | assod pt d (m as Rewrite_Set' (thy,put,rls,f,(f',asm)))
541 (Const ("Script.Rewrite'_Set",_) $ Free (rls_,_) $ _ $ f_) =
544 if f = f_ then Ass (m,f') else AssWeak (m,f')
547 | assod pt d (m as Detail_Set' (thy,put,rls,f,(f',asm)))
548 (Const ("Script.Rewrite'_Set",_) $ Free (rls_,_) $ _ $ f_) =
551 if f = f_ then Ass (m,f') else AssWeak (m,f')
554 | assod pt d (m as Calculate' (thy',op_,f,(f',thm'))) stac =
556 (Const ("Script.Calculate",_) $ Free (op__,_) $ f_) =>
559 if f = f_ then Ass (m,f') else AssWeak (m,f')
561 | (Const ("Script.Rewrite'_Set'_Inst",_) $ sub_ $ Free(rls_,_) $_$f_) =>
562 if contains_rule (Calc (snd (assoc1 (!calclist', op_)))) (assoc_rls rls_)
564 if f = f_ then Ass (m,f') else AssWeak (m,f')
566 | (Const ("Script.Rewrite'_Set",_) $ Free (rls_, _) $ _ $ f_) =>
567 if contains_rule (Calc (snd (assoc1 (!calclist', op_)))) (assoc_rls rls_)
569 if f = f_ then Ass (m,f') else AssWeak (m,f')
573 | assod pt _ (m as Check_elementwise' (consts,_,(consts_chkd,_)))
574 (Const ("Script.Check'_elementwise",_) $ consts' $ _) =
575 ((*tracing("### assod Check'_elementwise: consts= "^(term2str consts)^
576 ", consts'= "^(term2str consts'));
577 atomty consts; atomty consts';*)
579 then ((*tracing"### assod Check'_elementwise: Ass";*) Ass (m, consts_chkd))
580 else ((*tracing"### assod Check'_elementwise: NotAss";*) NotAss))
582 | assod pt _ (m as Or_to_List' (ors, list)) (Const ("Script.Or'_to'_List",_) $ _) =
585 | assod pt _ (m as Take' term) (Const ("Script.Take",_) $ _) =
588 | assod pt _ (m as Substitute' (_, _, res)) (Const ("Script.Substitute",_) $ _ $ _) =
591 | assod pt _ (m as Tac_ (thy,f,id,f')) (Const ("Script.Tac",_) $ Free (id',_)) =
593 then Ass (m, ((term_of o the o (parse thy)) f'))
596 (*compare "| stac2tac_ thy (Const ("Script.SubProblem",_)"*)
597 | assod pt _ (Subproblem' ((domID,pblID,metID),_,_,_,_,f))
598 (stac as Const ("Script.SubProblem",_) $ (Const ("Product_Type.Pair",_) $
599 Free (dI',_) $ (Const ("Product_Type.Pair",_) $ pI' $ mI')) $ ags') =
601 val dI = ((implode o drop_last(*.."'"*) o Symbol.explode) dI')(*^""*);
602 val thy = maxthy (assoc_thy dI) (rootthy pt);
603 val pI = ((map (de_esc_underscore o free2str)) o isalist2list) pI';
604 val mI = ((map (de_esc_underscore o free2str)) o isalist2list) mI';
605 val ags = isalist2list ags';
610 val pors = (match_ags thy ((#ppc o get_pbt) pI) ags)
611 handle ERROR "actual args do not match formal args"
612 => (match_ags_msg pI stac ags(*raise exn*);[]);
613 val pI' = refine_ori' pors pI;
614 in (pI', pors (*refinement over models with diff.prec only*),
615 (hd o #met o get_pbt) pI')
617 else (pI, (match_ags thy ((#ppc o get_pbt) pI) ags)
618 handle ERROR "actual args do not match formal args"
619 => (match_ags_msg pI stac ags(*raise exn*);[]), mI);
620 val (fmz_, vals) = oris2fmz_vals pors;
621 val {cas, ppc,...} = get_pbt pI
622 val {cas, ppc, thy,...} = get_pbt pI
623 val dI = theory2theory' thy (*take dI from _refined_ pbl*)
624 val dI = theory2theory' (maxthy (assoc_thy dI) (rootthy pt))
625 val thy' = (maxthy (assoc_thy dI) (rootthy pt))
628 NONE => pblterm dI pI
629 | SOME t => subst_atomic ((vars_of_pbl_' ppc) ~~~ vals) t
630 val ctxt = declare_constraints' vals (ProofContext.init_global thy')
631 val f = subpbl (strip_thy dI) pI
633 if domID = dI andalso pblID = pI
634 then Ass (Subproblem' ((dI, pI, mI), pors, hdl, fmz_, ctxt, f), f)
640 then tracing("@@@ the 'tac_' proposed to apply does NOT match the leaf found in the script:\n"^
641 "@@@ tac_ = "^(tac_2str m))
645 fun tac_2tac (Refine_Tacitly' (pI,_,_,_,_)) = Refine_Tacitly pI
646 | tac_2tac (Model_Problem' (pI,_,_)) = Model_Problem
647 | tac_2tac (Add_Given' (t,_)) = Add_Given t
648 | tac_2tac (Add_Find' (t,_)) = Add_Find t
649 | tac_2tac (Add_Relation' (t,_)) = Add_Relation t
651 | tac_2tac (Specify_Theory' dI) = Specify_Theory dI
652 | tac_2tac (Specify_Problem' (dI,_)) = Specify_Problem dI
653 | tac_2tac (Specify_Method' (dI,_,_)) = Specify_Method dI
655 | tac_2tac (Rewrite' (thy,rod,erls,put,(thmID,thm),f,(f',asm))) =
658 | tac_2tac (Rewrite_Inst' (thy,rod,erls,put,sub,(thmID,thm),f,(f',asm)))=
659 Rewrite_Inst (subst2subs sub,(thmID,thm))
661 | tac_2tac (Rewrite_Set' (thy,put,rls,f,(f',asm))) =
662 Rewrite_Set (id_rls rls)
664 | tac_2tac (Detail_Set' (thy,put,rls,f,(f',asm))) =
665 Detail_Set (id_rls rls)
667 | tac_2tac (Rewrite_Set_Inst' (thy,put,sub,rls,f,(f',asm))) =
668 Rewrite_Set_Inst (subst2subs sub,id_rls rls)
670 | tac_2tac (Detail_Set_Inst' (thy,put,sub,rls,f,(f',asm))) =
671 Detail_Set_Inst (subst2subs sub,id_rls rls)
673 | tac_2tac (Calculate' (thy,op_,t,(t',thm'))) = Calculate (op_)
675 | tac_2tac (Check_elementwise' (consts,pred,consts')) =
676 Check_elementwise pred
678 | tac_2tac (Or_to_List' _) = Or_to_List
679 | tac_2tac (Take' term) = Take (term2str term)
680 | tac_2tac (Substitute' (subte, t, res)) = Substitute (subte2sube subte)
682 | tac_2tac (Tac_ (_,f,id,f')) = Tac id
684 | tac_2tac (Subproblem' ((domID, pblID, _), _, _, _,_ ,_)) =
685 Subproblem (domID, pblID)
686 | tac_2tac (Check_Postcond' (pblID, _)) =
688 | tac_2tac Empty_Tac_ = Empty_Tac
691 error ("tac_2tac: not impl. for "^(tac_2str m));
696 (** decompose tac_ to a rule and to (lhs,rhs)
699 val idT = Type ("Script.ID",[]);
700 (*val tt = (term_of o the o (parse thy)) "square_equation_left::ID";
705 fun make_rule thy t =
706 let val ct = cterm_of thy (Trueprop $ t)
707 in Thm (Print_Mode.setmp [] (Syntax.string_of_term (thy2ctxt thy))
708 (term_of ct), make_thm ct) end;
710 (* val (Rewrite_Inst'(thy',rod,rls,put,subs,(thmID,thm),f,(f',asm)))=m;
712 (*decompose tac_ to a rule and to (lhs,rhs) for ets FIXME.12.03: obsolete!
713 NOTE.12.03: also used for msg 'not locatable' ?!: 'Subproblem' missing !!!
714 WN0508 only use in tac_2res, which uses only last return-value*)
715 fun rep_tac_ (Rewrite_Inst'
716 (thy',rod,rls,put,subs,(thmID,thm),f,(f',asm))) =
717 let val fT = type_of f;
718 val b = if put then HOLogic.true_const else HOLogic.false_const;
719 val sT = (type_of o fst o hd) subs;
720 val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))
721 (map HOLogic.mk_prod subs);
722 val sT' = type_of subs';
723 val lhs = Const ("Script.Rewrite'_Inst",[sT',idT,(*fT*)bool,fT] ---> fT)
724 $ subs' $ Free (thmID,idT) $ b $ f;
725 in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
726 (*Fehlersuche 25.4.01
727 (a)----- als String zusammensetzen:
729 val it = "d_d x #4 + d_d x (x ^^^ #2 + #3 * x)" : string
731 val it = "#0 + d_d x (x ^^^ #2 + #3 * x)" : string
733 val it = [(Free ("bdv","RealDef.real"),Free ("x","RealDef.real"))] : subst
734 > val tt = (term_of o the o (parse thy))
735 "(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))";
737 ML> tracing (term2str tt);
738 (Rewrite_Inst [(bdv,x)] diff_const False d_d x #4 + d_d x (x ^^^ #2 + #3 * x)) =
739 #0 + d_d x (x ^^^ #2 + #3 * x)
741 (b)----- laut rep_tac_:
742 > val ttt=HOLogic.mk_eq (lhs,f');
746 (*Fehlersuche 1-2Monate vor 4.01:*)
747 > val tt = (term_of o the o (parse thy))
748 "Rewrite_Inst[(bdv,x)]square_equation_left True(x=#1+#2)";
751 > val f = (term_of o the o (parse thy)) "x=#1+#2";
752 > val f' = (term_of o the o (parse thy)) "x=#3";
753 > val subs = [((term_of o the o (parse thy)) "bdv",
754 (term_of o the o (parse thy)) "x")];
755 > val sT = (type_of o fst o hd) subs;
756 > val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))
757 (map HOLogic.mk_prod subs);
758 > val sT' = type_of subs';
759 > val lhs = Const ("Script.Rewrite'_Inst",[sT',idT,fT,fT] ---> fT)
760 $ subs' $ Free (thmID,idT) $ HOLogic.true_const $ f;
763 > rep_tac_ (Rewrite_Inst'
764 ("Script","tless_true","eval_rls",false,subs,
765 ("square_equation_left",""),f,(f',[])));
767 | rep_tac_ (Rewrite' (thy',rod,rls,put,(thmID,thm),f,(f',asm)))=
770 val b = if put then HOLogic.true_const else HOLogic.false_const;
771 val lhs = Const ("Script.Rewrite",[idT,HOLogic.boolT,fT] ---> fT)
772 $ Free (thmID,idT) $ b $ f;
773 in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
775 > val tt = (term_of o the o (parse thy)) (*____ ____..test*)
776 "Rewrite square_equation_left True (x=#1+#2) = (x=#3)";
778 > val f = (term_of o the o (parse thy)) "x=#1+#2";
779 > val f' = (term_of o the o (parse thy)) "x=#3";
782 ("Script","tless_true","eval_rls",false,
783 ("square_equation_left",""),f,(f',[])));
784 > val SOME ct = parse thy
785 "Rewrite square_equation_left True (x=#1+#2)";
786 > rewrite_ Script.thy tless_true eval_rls true thm ct;
787 val it = SOME ("x = #3",[]) : (cterm * cterm list) option
789 | rep_tac_ (Rewrite_Set_Inst'
790 (thy',put,subs,rls,f,(f',asm))) =
791 (e_rule, (e_term, f'))
792 (*WN050824: type error ...
793 let val fT = type_of f;
794 val sT = (type_of o fst o hd) subs;
795 val subs' = list2isalist (HOLogic.mk_prodT (sT, sT))
796 (map HOLogic.mk_prod subs);
797 val sT' = type_of subs';
798 val b = if put then HOLogic.true_const else HOLogic.false_const
799 val lhs = Const ("Script.Rewrite'_Set'_Inst",
800 [sT',idT,fT,fT] ---> fT)
801 $ subs' $ Free (id_rls rls,idT) $ b $ f;
802 in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end*)
803 (* ... vals from Rewrite_Inst' ...
804 > rep_tac_ (Rewrite_Set_Inst'
805 ("Script",false,subs,
806 "isolate_bdv",f,(f',[])));
808 (* val (Rewrite_Set' (thy',put,rls,f,(f',asm)))=m;
810 | rep_tac_ (Rewrite_Set' (thy',put,rls,f,(f',asm)))=
811 let val fT = type_of f;
812 val b = if put then HOLogic.true_const else HOLogic.false_const;
813 val lhs = Const ("Script.Rewrite'_Set",[idT,bool,fT] ---> fT)
814 $ Free (id_rls rls,idT) $ b $ f;
815 in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
817 val thy = assoc_thy thy';
818 val t = HOLogic.mk_eq (lhs,f');
820 --------------------------------------------------
821 val lll = (term_of o the o (parse thy))
822 "Rewrite_Set SqRoot_simplify False (d_d x (x ^^^ #2 + #3 * x) + d_d x #4)";
824 --------------------------------------------------
825 > val f = (term_of o the o (parse thy)) "x=#1+#2";
826 > val f' = (term_of o the o (parse thy)) "x=#3";
828 rep_tac_ (Rewrite_Set'
829 ("Script",false,"SqRoot_simplify",f,(f',[])));
830 val id = "(Rewrite_Set SqRoot_simplify True x = #1 + #2) = (x = #3)" : string
831 val thm = "(Rewrite_Set SqRoot_simplify True x = #1 + #2) = (x = #3)" : thm
833 | rep_tac_ (Calculate' (thy',op_,f,(f',thm')))=
834 let val fT = type_of f;
835 val lhs = Const ("Script.Calculate",[idT,fT] ---> fT)
837 in (((make_rule (assoc_thy thy')) o HOLogic.mk_eq) (lhs,f'),(lhs,f')) end
839 > val lhs'=(term_of o the o (parse thy))"Calculate plus (#1+#2)";
840 ... test-root-equ.sml: calculate ...
841 > val Appl m'=applicable_in p pt (Calculate "PLUS");
842 > val (lhs,_)=tac_2etac m';
844 val it = true : bool*)
845 | rep_tac_ (Check_elementwise' (t,str,(t',asm))) = (Erule, (e_term, t'))
846 | rep_tac_ (Subproblem' (_, _, _, _, _, t')) = (Erule, (e_term, t'))
847 | rep_tac_ (Take' (t')) = (Erule, (e_term, t'))
848 | rep_tac_ (Substitute' (subst,t,t')) = (Erule, (t, t'))
849 | rep_tac_ (Or_to_List' (t, t')) = (Erule, (t, t'))
850 | rep_tac_ m = error ("rep_tac_: not impl.for "^
854 fun tac_2rule m = (fst o rep_tac_) m;
855 fun tac_2etac m = (snd o rep_tac_) m;
856 fun tac_2tac m = (fst o snd o rep_tac_) m;*)
857 fun tac_2res m = (snd o snd o rep_tac_) m;(*ONLYuse of rep_tac_
858 FIXXXXME: simplify rep_tac_*)
862 a leaf is either a tactic or an 'exp' in 'let v = expr'
863 where 'exp' does not contain a tactic.
864 handling a leaf comprises
865 (1) 'subst_stacexpr' substitute env and complete curried tactic
866 (2) rewrite the leaf by 'srls'
867 WN060906 quick and dirty fix: return a' too (for updating E later)
869 fun handle_leaf call thy srls E a v t =
870 (*WN050916 'upd_env_opt' is a blind copy from previous version*)
871 case subst_stacexpr E a v t of
872 (a', STac stac) => (*script-tactic*)
873 let val stac' = eval_listexpr_ (assoc_thy thy) srls
874 (subst_atomic (upd_env_opt E (a,v)) stac)
875 in (if (!trace_script)
876 then tracing ("@@@ "^call^" leaf '"^term2str t^"' ---> STac '"^
881 | (a', Expr lexpr) => (*leaf-expression*)
882 let val lexpr' = eval_listexpr_ (assoc_thy thy) srls
883 (subst_atomic (upd_env_opt E (a,v)) lexpr)
884 in (if (!trace_script)
885 then tracing("@@@ "^call^" leaf '"^term2str t^"' ---> Expr '"^
893 (** locate an applicable stactic in a script **)
895 datatype assoc = (*ExprVal in the sense of denotational semantics*)
896 Assoc of (*the stac is associated, strongly or weakly*)
897 scrstate * (*the current; returned for next_tac etc. outside ass* *)
898 (step list) (*list of steps done until associated stac found;
899 initiated with the data for doing the 1st step,
900 thus the head holds these data further on,
901 while the tail holds steps finished (incl.scrstate in ptree)*)
902 | NasApp of (*stac not associated, but applicable, ptree-node generated*)
903 scrstate * (step list)
904 | NasNap of (*stac not associated, not applicable, nothing generated;
905 for distinction in Or, for leaving iterations, leaving Seq,
906 evaluate scriptexpressions*)
908 fun assoc2str (Assoc _) = "Assoc"
909 | assoc2str (NasNap _) = "NasNap"
910 | assoc2str (NasApp _) = "NasApp";
913 datatype asap = (*arg. of assy _only_ for distinction w.r.t. Or*)
914 Aundef (*undefined: set only by (topmost) Or*)
915 | AssOnly (*do not execute appl stacs - there could be an associated
916 in parallel Or-branch*)
917 | AssGen; (*no Ass(Weak) found within Or, thus
918 search for _applicable_ stacs, execute and generate pt*)
919 (*this constructions doesnt allow arbitrary nesting of Or !!!*)
922 (*assy, ass_up, astep_up scanning for locate_gen at stactic in a script.
923 search is clearly separated into (1)-(2):
924 (1) assy is recursive descent;
925 (2) ass_up resumes interpretation at a location somewhere in the script;
926 astep_up does only get to the parentnode of the scriptexpr.
928 * call of (2) means _always_ that in this branch below
929 there was an appl.stac (Repeat, Or e1, ...)
931 fun assy ya (is as (E,l,a,v,S,b),ss)
932 (Const ("HOL.Let",_) $ e $ (Abs (id,T,body))) =
933 (* val (ya, (is as (E,l,a,v,S,b),ss),Const ("HOL.Let",_) $ e $ (Abs (id,T,body))) =
934 (*1*)(((ts,d),Aundef), ((E,[R],a,v,S,b),[(m,EmptyMout,pt,p,[])]), body);
936 ((*tracing("### assy Let$e$Abs: is=");
937 tracing(istate2str (ScrState is));*)
938 case assy ya ((E , l@[L,R], a,v,S,b),ss) e of
939 NasApp ((E',l,a,v,S,bb),ss) =>
940 let val id' = mk_Free (id, T);
941 val E' = upd_env E' (id', v);
942 (*val _=tracing("### assy Let -> NasApp");*)
943 in assy ya ((E', l@[R,D], a,v,S,b),ss) body end
945 let val id' = mk_Free (id, T);
946 val E' = upd_env E (id', v);
947 (*val _=tracing("### assy Let -> NasNap");*)
948 in assy ya ((E', l@[R,D], a,v,S,b),ss) body end
951 | assy (ya as (((thy,srls),_),_)) ((E,l,_,v,S,b),ss)
952 (Const ("Script.While",_) $ c $ e $ a) =
953 ((*tracing("### assy While $ c $ e $ a, upd_env= "^
954 (subst2str (upd_env E (a,v))));*)
955 if eval_true_ thy srls (subst_atomic (upd_env E (a,v)) c)
956 then assy ya ((E, l@[L,R], SOME a,v,S,b),ss) e
959 | assy (ya as (((thy,srls),_),_)) ((E,l,a,v,S,b),ss)
960 (Const ("Script.While",_) $ c $ e) =
961 ((*tracing("### assy While, l= "^(loc_2str l));*)
962 if eval_true_ thy srls (subst_atomic (upd_env_opt E (a,v)) c)
963 then assy ya ((E, l@[R], a,v,S,b),ss) e
966 | assy (ya as (((thy,srls),_),_)) ((E,l,a,v,S,b),ss)
967 (Const ("If",_) $ c $ e1 $ e2) =
968 (if eval_true_ thy srls (subst_atomic (upd_env_opt E (a,v)) c)
969 then assy ya ((E, l@[L,R], a,v,S,b),ss) e1
970 else assy ya ((E, l@[ R], a,v,S,b),ss) e2)
972 | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Try",_) $ e $ a) =
973 ((*tracing("### assy Try $ e $ a, l= "^(loc_2str l));*)
974 case assy ya ((E, l@[L,R], SOME a,v,S,b),ss) e of
977 | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Try",_) $ e) =
978 ((*tracing("### assy Try $ e, l= "^(loc_2str l));*)
979 case assy ya ((E, l@[R], a,v,S,b),ss) e of
981 (* val (ya, ((E,l,_,v,S,b),ss), (Const ("Script.Seq",_) $e1 $ e2 $ a)) =
982 (*2*)(ya, ((E , l@[L,R], a,v,S,b),ss), e);
984 | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Seq",_) $e1 $ e2 $ a) =
985 ((*tracing("### assy Seq $e1 $ e2 $ a, E= "^(subst2str E));*)
986 case assy ya ((E, l@[L,L,R], SOME a,v,S,b),ss) e1 of
987 NasNap (v, E) => assy ya ((E, l@[L,R], SOME a,v,S,b),ss) e2
988 | NasApp ((E,_,_,v,_,_),ss) =>
989 assy ya ((E, l@[L,R], SOME a,v,S,b),ss) e2
992 | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Seq",_) $e1 $ e2) =
993 (case assy ya ((E, l@[L,R], a,v,S,b),ss) e1 of
994 NasNap (v, E) => assy ya ((E, l@[R], a,v,S,b),ss) e2
995 | NasApp ((E,_,_,v,_,_),ss) =>
996 assy ya ((E, l@[R], a,v,S,b),ss) e2
999 | assy ya ((E,l,_,v,S,b),ss) (Const ("Script.Repeat",_) $ e $ a) =
1000 assy ya ((E,(l@[L,R]),SOME a,v,S,b),ss) e
1002 | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Repeat",_) $ e) =
1003 assy ya ((E,(l@[R]),a,v,S,b),ss) e
1005 (*15.6.02: ass,app Or nochmals "uberlegen FIXXXME*)
1006 | assy (y, Aundef) ((E,l,_,v,S,b),ss) (Const ("Script.Or",_) $e1 $ e2 $ a) =
1007 (case assy (y, AssOnly) ((E,(l@[L,L,R]),SOME a,v,S,b),ss) e1 of
1009 (case assy (y, AssOnly) ((E,(l@[L,R]),SOME a,v,S,b),ss) e2 of
1011 (case assy (y, AssGen) ((E,(l@[L,L,R]),SOME a,v,S,b),ss) e1 of
1013 assy (y, AssGen) ((E, (l@[L,R]), SOME a,v,S,b),ss) e2
1016 | NasApp _ => error ("assy: FIXXXME ///must not return NasApp///")
1019 | assy ya ((E,l,a,v,S,b),ss) (Const ("Script.Or",_) $e1 $ e2) =
1020 (case assy ya ((E,(l@[L,R]),a,v,S,b),ss) e1 of
1022 assy ya ((E,(l@[R]),a,v,S,b),ss) e2
1024 (* val ((m,_,pt,(p,p_),c)::ss) = [(m,EmptyMout,pt,p,[])];
1025 val t = (term_of o the o (parse (Thy_Info.get_theory "Isac"))) "Rewrite rmult_1 False";
1027 val (ap,(p,p_),c,ss) = (Aundef,p,[],[]);
1028 assy (((thy',srls),d),ap) ((E,l,a,v,S,b), (m,EmptyMout,pt,(p,p_),c)::ss) t;
1029 val ((((thy',sr),d),ap), (is as (E,l,a,v,S,b), (m,_,pt,(p,p_),c)::ss), t) =
1033 | assy (((thy',sr),d),ap) (is as (E,l,a,v,S,b), (m,_,pt,(p,p_),c)::ss) t =
1034 ((*tracing("### assy, m = "^tac_2str m);
1035 tracing("### assy, (p,p_) = "^pos'2str (p,p_));
1036 tracing("### assy, is= ");
1037 tracing(istate2str (ScrState is));*)
1038 case handle_leaf "locate" thy' sr E a v t of
1040 ((*tracing("### assy: listexpr t= "^(term2str t));
1041 tracing("### assy, E= "^(env2str E));
1042 tracing("### assy, eval(..)= "^(term2str
1043 (eval_listexpr_ (assoc_thy thy') sr
1044 (subst_atomic (upd_env_opt E (a',v)) t))));*)
1045 NasNap (eval_listexpr_ (assoc_thy thy') sr
1046 (subst_atomic (upd_env_opt E (a',v)) t), E))
1047 (* val (_,STac stac) = subst_stacexpr E a v t;
1049 | (a', STac stac) =>
1050 let (*val _=tracing("### assy, stac = "^term2str stac);*)
1051 val p' = case p_ of Frm => p | Res => lev_on p
1052 | _ => error ("assy: call by "^
1054 in case assod pt d m stac of
1056 let (*val _=tracing("### assy: Ass ("^tac_2str m^", "^
1058 val (p'',c',f',pt') = generate1 (assoc_thy thy') m
1059 (ScrState (E,l,a',v',S,true), e_ctxt) (p',p_) pt;
1060 in Assoc ((E,l,a',v',S,true), (m,f',pt',p'',c @ c')::ss) end
1062 let (*val _=tracing("### assy: Ass Weak("^tac_2str m^", "^
1064 val (p'',c',f',pt') = generate1 (assoc_thy thy') m
1065 (ScrState (E,l,a',v',S,false), e_ctxt) (p',p_) pt;
1066 in Assoc ((E,l,a',v',S,false), (m,f',pt',p'',c @ c')::ss) end
1068 ((*tracing("### assy, NotAss");*)
1069 case ap of (*switch for Or: 1st AssOnly, 2nd AssGen*)
1070 AssOnly => (NasNap (v, E))
1071 | gen => (case applicable_in (p,p_) pt
1072 (stac2tac pt (assoc_thy thy') stac) of
1074 let val is = (E,l,a',tac_2res m',S,false(*FIXXXME*))
1075 val (p'',c',f',pt') =
1076 generate1 (assoc_thy thy') m' (ScrState is, e_ctxt) (p',p_) pt;
1077 in NasApp (is,(m,f',pt',p'',c @ c')::ss) end
1083 (* (astep_up ((thy',scr,d),NasApp_) ((E,l,a,v,S,b),[(m,EmptyMout,pt,p,[])])) handle e => print_exn_G e;
1087 (* val (ys as (y,s,Script sc,d),(is as (E,l,a,v,S,b),ss),Const ("HOL.Let",_) $ _) =
1088 (ys, ((E,up,a,v,S,b),ss), go up sc);
1090 fun ass_up (ys as (y,s,Script sc,d)) (is as (E,l,a,v,S,b),ss)
1091 (Const ("HOL.Let",_) $ _) =
1092 let (*val _= tracing("### ass_up1 Let$e: is=")
1093 val _= tracing(istate2str (ScrState is))*)
1094 val l = drop_last l; (*comes from e, goes to Abs*)
1095 val (Const ("HOL.Let",_) $ e $ (Abs (i,T,body))) = go l sc;
1096 val i = mk_Free (i, T);
1097 val E = upd_env E (i, v);
1098 (*val _=tracing("### ass_up2 Let$e: E="^(subst2str E));*)
1099 in case assy (((y,s),d),Aundef) ((E, l@[R,D], a,v,S,b),ss) body of
1100 Assoc iss => Assoc iss
1101 | NasApp iss => astep_up ys iss
1102 | NasNap (v, E) => astep_up ys ((E,l,a,v,S,b),ss) end
1104 | ass_up ys (iss as (is,_)) (Abs (_,_,_)) =
1105 ((*tracing("### ass_up Abs: is=");
1106 tracing(istate2str (ScrState is));*)
1107 astep_up ys iss) (*TODO 5.9.00: env ?*)
1109 | ass_up ys (iss as (is,_)) (Const ("HOL.Let",_) $ e $ (Abs (i,T,b)))=
1110 ((*tracing("### ass_up Let $ e $ Abs: is=");
1111 tracing(istate2str (ScrState is));*)
1112 astep_up ys iss) (*TODO 5.9.00: env ?*)
1114 (* val (ysa, iss, (Const ("Script.Seq",_) $ _ $ _ $ _)) =
1115 (ys, ((E,up,a,v,S,b),ss), (go up sc));
1117 | ass_up ysa iss (Const ("Script.Seq",_) $ _ $ _ $ _) =
1118 astep_up ysa iss (*all has been done in (*2*) below*)
1120 | ass_up ysa iss (Const ("Script.Seq",_) $ _ $ _) =
1121 (* val (ysa, iss, (Const ("Script.Seq",_) $ _ $ _)) =
1122 (ys, ((E,up,a,v,S,b),ss), (go up sc));
1124 astep_up ysa iss (*2*: comes from e2*)
1126 | ass_up (ysa as (y,s,Script sc,d)) (is as (E,l,a,v,S,b),ss)
1127 (Const ("Script.Seq",_) $ _ ) = (*2*: comes from e1, goes to e2*)
1128 (* val ((ysa as (y,s,Script sc,d)), (is as (E,l,a,v,S,b),ss),
1129 (Const ("Script.Seq",_) $ _ )) =
1130 (ys, ((E,up,a,v,S,b),ss), (go up sc));
1132 let val up = drop_last l;
1133 val Const ("Script.Seq",_) $ _ $ e2 = go up sc
1134 (*val _= tracing("### ass_up Seq$e: is=")
1135 val _= tracing(istate2str (ScrState is))*)
1136 in case assy (((y,s),d),Aundef) ((E, up@[R], a,v,S,b),ss) e2 of
1137 NasNap (v,E) => astep_up ysa ((E,up,a,v,S,b),ss)
1138 | NasApp iss => astep_up ysa iss
1141 (* val (ysa, iss, (Const ("Script.Try",_) $ e $ _)) =
1142 (ys, ((E,up,a,v,S,b),ss), (go up sc));
1144 | ass_up ysa iss (Const ("Script.Try",_) $ e $ _) =
1147 (* val (ysa, iss, (Const ("Script.Try",_) $ e)) =
1148 (ys, ((E,up,a,v,S,b),ss), (go up sc));
1150 | ass_up ysa iss (Const ("Script.Try",_) $ e) =
1151 ((*tracing("### ass_up Try $ e");*)
1154 | ass_up (ys as (y,s,_,d)) ((E,l,_,v,S,b),ss)
1155 (*(Const ("Script.While",_) $ c $ e $ a) = WN050930 blind fix*)
1156 (t as Const ("Script.While",_) $ c $ e $ a) =
1157 ((*tracing("### ass_up: While c= "^
1158 (term2str (subst_atomic (upd_env E (a,v)) c)));*)
1159 if eval_true_ y s (subst_atomic (upd_env E (a,v)) c)
1160 then (case assy (((y,s),d),Aundef) ((E, l@[L,R], SOME a,v,S,b),ss) e of
1161 NasNap (v,E') => astep_up ys ((E',l, SOME a,v,S,b),ss)
1162 | NasApp ((E',l,a,v,S,b),ss) =>
1163 ass_up ys ((E',l,a,v,S,b),ss) t (*WN050930 't' was not assigned*)
1165 else astep_up ys ((E,l, SOME a,v,S,b),ss)
1168 | ass_up (ys as (y,s,_,d)) ((E,l,a,v,S,b),ss)
1169 (*(Const ("Script.While",_) $ c $ e) = WN050930 blind fix*)
1170 (t as Const ("Script.While",_) $ c $ e) =
1171 if eval_true_ y s (subst_atomic (upd_env_opt E (a,v)) c)
1172 then (case assy (((y,s),d),Aundef) ((E, l@[R], a,v,S,b),ss) e of
1173 NasNap (v,E') => astep_up ys ((E',l, a,v,S,b),ss)
1174 | NasApp ((E',l,a,v,S,b),ss) =>
1175 ass_up ys ((E',l,a,v,S,b),ss) t (*WN050930 't' was not assigned*)
1177 else astep_up ys ((E,l, a,v,S,b),ss)
1179 | ass_up y iss (Const ("If",_) $ _ $ _ $ _) = astep_up y iss
1181 | ass_up (ys as (y,s,_,d)) ((E,l,_,v,S,b),ss)
1182 (t as Const ("Script.Repeat",_) $ e $ a) =
1183 (case assy (((y,s),d), Aundef) ((E, (l@[L,R]), SOME a,v,S,b),ss) e of
1184 NasNap (v,E') => astep_up ys ((E',l, SOME a,v,S,b),ss)
1185 | NasApp ((E',l,a,v,S,b),ss) =>
1186 ass_up ys ((E',l,a,v,S,b),ss) t
1189 | ass_up (ys as (y,s,_,d)) (is as ((E,l,a,v,S,b),ss))
1190 (t as Const ("Script.Repeat",_) $ e) =
1191 (case assy (((y,s),d), Aundef) ((E, (l@[R]), a,v,S,b),ss) e of
1192 NasNap (v', E') => astep_up ys ((E',l,a,v',S,b),ss)
1193 | NasApp ((E',l,a,v',S,bb),ss) =>
1194 ass_up ys ((E',l,a,v',S,b),ss) t
1197 | ass_up y iss (Const ("Script.Or",_) $ _ $ _ $ _) = astep_up y iss
1199 | ass_up y iss (Const ("Script.Or",_) $ _ $ _) = astep_up y iss
1201 | ass_up y ((E,l,a,v,S,b),ss) (Const ("Script.Or",_) $ _ ) =
1202 astep_up y ((E, (drop_last l), a,v,S,b),ss)
1205 error ("ass_up not impl for t= "^(term2str t))
1207 val (ys as (_,_,Script sc,_), ss) =
1208 ((thy',srls,scr,d), [(m,EmptyMout,pt,p,[])]:step list);
1209 astep_up ys ((E,l,a,v,S,b),ss);
1210 val ((ys as (_,_,Script sc,_)), ((E,l,a,v,S,b),ss)) =
1212 val ((ys as (_,_,Script sc,_)), ((E,l,a,v,S,b),ss)) =
1213 ((thy',srls,scr,d), ((E,l,a,v,S,b), [(m,EmptyMout,pt,p,[])]));
1215 and astep_up (ys as (_,_,Script sc,_)) ((E,l,a,v,S,b),ss) =
1218 let val up = drop_last l;
1219 (*val _= tracing("### astep_up: E= "^env2str E);*)
1220 in ass_up ys ((E,up,a,v,S,b),ss) (go up sc) end
1221 else (NasNap (v, E))
1228 (* use"ME/script.sml";
1230 term2str (go up sc);
1234 (*check if there are tacs for rewriting only*)
1235 fun rew_only ([]:step list) = true
1236 | rew_only (((Rewrite' _ ,_,_,_,_))::ss) = rew_only ss
1237 | rew_only (((Rewrite_Inst' _ ,_,_,_,_))::ss) = rew_only ss
1238 | rew_only (((Rewrite_Set' _ ,_,_,_,_))::ss) = rew_only ss
1239 | rew_only (((Rewrite_Set_Inst' _ ,_,_,_,_))::ss) = rew_only ss
1240 | rew_only (((Calculate' _ ,_,_,_,_))::ss) = rew_only ss
1241 | rew_only (((Begin_Trans' _ ,_,_,_,_))::ss) = rew_only ss
1242 | rew_only (((End_Trans' _ ,_,_,_,_))::ss) = rew_only ss
1243 | rew_only _ = false;
1247 Steps of istate (*producing hd of step list (which was latest)
1248 for next_tac, for reporting Safe|Unsafe to DG*)
1249 * step (*(scrstate producing this step is in ptree !)*)
1250 list (*locate_gen may produce intermediate steps*)
1251 | NotLocatable; (*no (m Ass m') or (m AssWeak m') found*)
1255 (* locate_gen tries to locate an input tac m in the script.
1256 pursuing this goal the script is executed until an (m' equiv m) is found,
1257 or the end of the script
1259 m : input by the user, already checked by applicable_in,
1260 (to be searched within Or; and _not_ an m doing the step on ptree !)
1261 p,pt: (incl ets) at the time of input
1263 d : canonical simplifier for locating Take, Substitute, Subproblems etc.
1264 ets : ets at the time of input
1265 l : the location (in scr) of the stac which generated the current formula
1267 Steps: pt,p (incl. ets) with m done
1268 pos' list of proofobjs cut (from generate)
1269 safe: implied from last proofobj
1271 ///ToDo : ets contains a list of tacs to be done before m can be done
1272 NOT IMPL. -- "error: do other step before"
1273 NotLocatable: thus generate_hard
1275 (* val (Rewrite'(_,ro,er,pa,(id,str),f,_), p, Rfuns {locate_rule=lo,...},
1276 RrlsState (_,f'',rss,rts)) = (m, (p,p_), sc, is);
1278 fun locate_gen (thy',_) (Rewrite'(_,ro,er,pa,(id,str),f,_)) (pt,p)
1279 (Rfuns {locate_rule=lo,...}, d) (RrlsState (_,f'',rss,rts), ctxt) =
1280 (case lo rss f (Thm (id, mk_thm (assoc_thy thy') str)) of
1283 Steps (rts2steps [] ((pt,p),(f,f'',rss,rts),(thy',ro,er,pa)) rts'))
1285 | locate_gen (ts as (thy',srls)) (m:tac_) ((pt,p):ptree * pos')
1286 (scr as Script (h $ body),d) (ScrState (E,l,a,v,S,b), ctxt) =
1287 let (*val _= tracing("### locate_gen-----------------: is=");
1288 val _= tracing( istate2str (ScrState (E,l,a,v,S,b)));
1289 val _= tracing("### locate_gen: l= "^loc_2str l^", p= "^pos'2str p)*)
1290 val thy = assoc_thy thy';
1291 in case if l=[] orelse ((*init.in solve..Apply_Method...*)
1292 (last_elem o fst) p = 0 andalso snd p = Res)
1293 then (assy ((ts,d),Aundef) ((E,[R],a,v,S,b),
1294 [(m,EmptyMout,pt,p,[])]) body)
1295 (* val Assoc (iss as (is as (_,_,_,_,_,bb), ss as ((m',f',pt',p',c')::_))) =
1296 (astep_up (thy',srls,scr,d) ((E,l,a,v,S,b),[(m,EmptyMout,pt,p,[])]));
1297 (assy ((ts,d),Aundef) ((E,[R],a,v,S,b),[(m,EmptyMout,pt,p,[])]) body);
1299 else (astep_up (thy',srls,scr,d) ((E,l,a,v,S,b),
1300 [(m,EmptyMout,pt,p,[])]) ) of
1301 Assoc (iss as (is as (_,_,_,_,_,bb), ss as ((m',f',pt',p',c')::_))) =>
1302 (* val Assoc (iss as (is as (_,_,_,_,_,bb), ss as ((m',f',pt',p',c')::_))) =
1303 (astep_up (thy',srls,scr,d) ((E,l,a,v,S,b),
1304 [(m,EmptyMout,pt,p,[])]) );
1306 ((*tracing("### locate_gen Assoc: p'="^(pos'2str p'));*)
1307 if bb then Steps (ScrState is, ss)
1308 else if rew_only ss (*andalso 'not bb'= associated weakly*)
1309 then let val (po,p_) = p
1310 val po' = case p_ of Frm => po | Res => lev_on po
1311 (*WN.12.03: noticed, that pos is also updated in assy !?!
1312 instead take p' from Assoc ?????????????????????????????*)
1313 val (p'',c'',f'',pt'') =
1314 generate1 thy m (ScrState is, ctxt) (po',p_) pt;
1315 (*val _=tracing("### locate_gen, aft g1: p''="^(pos'2str p''));*)
1316 (*drop the intermediate steps !*)
1317 in Steps (ScrState is, [(m, f'',pt'',p'',c'')]) end
1318 else Steps (ScrState is, ss))
1320 | NasApp _ (*[((E,l,a,v,S,bb),(m',f',pt',p',c'))] =>
1321 error ("locate_gen: should not have got NasApp, ets =")*)
1324 if l=[] then NotLocatable
1325 else (*scan from begin of script for rew_only*)
1326 (case assy ((ts,d),Aundef) ((E,[R],a,v,Unsafe,b),
1327 [(m,EmptyMout,pt,p,[])]) body of
1328 Assoc (iss as (is as (_,_,_,_,_,bb),
1329 ss as ((m',f',pt',p',c')::_))) =>
1330 ((*tracing"4### locate_gen Assoc after Fini";*)
1332 then let val(p'',c'',f'',pt'') =
1333 generate1 thy m (ScrState is, ctxt) p' pt;
1334 (*drop the intermediate steps !*)
1335 in Steps (ScrState is, [(m, f'',pt'',p'',c'')]) end
1337 | _ => ((*tracing ("#### locate_gen: after Fini");*)
1340 | locate_gen _ m _ (sc,_) (is, _) =
1341 error ("locate_gen: wrong arguments,\n tac= "^(tac_2str m)^
1342 ",\n scr= "^(scr2str sc)^",\n istate= "^(istate2str is));
1346 (** find the next stactic in a script **)
1348 datatype appy = (*ExprVal in the sense of denotational semantics*)
1349 Appy of (*applicable stac found, search stalled*)
1350 tac_ * (*tac_ associated (fun assod) with stac*)
1351 scrstate (*after determination of stac WN.18.8.03*)
1352 | Napp of (*stac found was not applicable;
1353 this mode may become Skip in Repeat, Try and Or*)
1354 env (*stack*) (*popped while nxt_up*)
1355 | Skip of (*for restart after Appy, for leaving iterations,
1356 for passing the value of scriptexpressions,
1357 and for finishing the script successfully*)
1358 term * env (*stack*);
1360 (*appy, nxt_up, nstep_up scanning for next_tac.
1361 search is clearly separated into (1)-(2):
1362 (1) appy is recursive descent;
1363 (2) nxt_up resumes interpretation at a location somewhere in the script;
1364 nstep_up does only get to the parentnode of the scriptexpr.
1366 * call of (2) means _always_ that in this branch below
1367 there was an applicable stac (Repeat, Or e1, ...)
1371 datatype appy_ = (*as argument in nxt_up, nstep_up, from appy*)
1372 (* Appy is only (final) returnvalue, not argument during search
1373 |*) Napp_ (*ev. detects 'script is not appropriate for this example'*)
1374 | Skip_; (*detects 'script successfully finished'
1375 also used as init-value for resuming; this works,
1376 because 'nxt_up Or e1' treats as Appy*)
1378 fun appy thy ptp E l
1379 (t as Const ("HOL.Let",_) $ e $ (Abs (i,T,b))) a v =
1380 (* val (thy, ptp, E, l, t as Const ("HOL.Let",_) $ e $ (Abs (i,T,b)),a, v)=
1381 (thy, ptp, E, up@[R,D], body, a, v);
1382 appy thy ptp E l t a v;
1384 ((*tracing("### appy Let$e$Abs: is=");
1385 tracing(istate2str (ScrState (E,l,a,v,Sundef,false)));*)
1386 case appy thy ptp E (l@[L,R]) e a v of
1388 let (*val _= tracing("### appy Let "^(term2str t));
1389 val _= tracing("### appy Let: Skip res ="^(term2str res));*)
1390 (*val (i',b') = variant_abs (i,T,b); WN.15.5.03
1391 val i = mk_Free(i',T); WN.15.5.03 *)
1392 val E' = upd_env E (Free (i,T), res);
1393 in appy thy ptp E' (l@[R,D]) b a v end
1396 | appy (thy as (th,sr)) ptp E l
1397 (t as Const ("Script.While"(*1*),_) $ c $ e $ a) _ v = (*ohne n. 28.9.00*)
1398 ((*tracing("### appy While $ c $ e $ a, upd_env= "^
1399 (subst2str (upd_env E (a,v))));*)
1400 if eval_true_ th sr (subst_atomic (upd_env E (a,v)) c)
1401 then appy thy ptp E (l@[L,R]) e (SOME a) v
1404 | appy (thy as (th,sr)) ptp E l
1405 (t as Const ("Script.While"(*2*),_) $ c $ e) a v =(*ohne nachdenken 28.9.00*)
1406 ((*tracing("### appy While $ c $ e, upd_env= "^
1407 (subst2str (upd_env_opt E (a,v))));*)
1408 if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)
1409 then appy thy ptp E (l@[R]) e a v
1412 | appy (thy as (th,sr)) ptp E l (t as Const ("If",_) $ c $ e1 $ e2) a v =
1413 ((*tracing("### appy If: t= "^(term2str t));
1414 tracing("### appy If: c= "^(term2str(subst_atomic(upd_env_opt E(a,v))c)));
1415 tracing("### appy If: thy= "^(fst thy));*)
1416 if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)
1417 then ((*tracing("### appy If: true");*)appy thy ptp E (l@[L,R]) e1 a v)
1418 else ((*tracing("### appy If: false");*)appy thy ptp E (l@[ R]) e2 a v))
1419 (* val (thy, ptp, E, l, (Const ("Script.Repeat",_) $ e $ a), _, v) =
1420 (thy, ptp, E, (l@[R]), e, a, v);
1422 | appy thy ptp E (*env*) l
1423 (Const ("Script.Repeat"(*1*),_) $ e $ a) _ v =
1424 ((*tracing("### appy Repeat a: ");*)
1425 appy thy ptp E (*env*) (l@[L,R]) e (SOME a) v)
1426 (* val (thy, ptp, E, l, (Const ("Script.Repeat",_) $ e), _, v) =
1427 (thy, ptp, E, (l@[R]), e, a, v);
1429 | appy thy ptp E (*env*) l
1430 (Const ("Script.Repeat"(*2*),_) $ e) a v =
1431 ((*tracing("3### appy Repeat: a= " ^ term2str a);*)
1432 appy thy ptp E (*env*) (l@[R]) e a v)
1433 (* val (thy, ptp, E, l, (t as Const ("Script.Try",_) $ e $ a), _, v)=
1434 (thy, ptp, E, (l@[R]), e2, a, v);
1437 (t as Const ("Script.Try",_) $ e $ a) _ v =
1438 (case appy thy ptp E (l@[L,R]) e (SOME a) v of
1439 Napp E => ((*tracing("### appy Try " ^ term2str t);*)
1442 (* val (thy, ptp, E, l, (t as Const ("Script.Try",_) $ e), _, v)=
1443 (thy, ptp, E, (l@[R]), e2, a, v);
1444 val (thy, ptp, E, l, (t as Const ("Script.Try",_) $ e), _, v)=
1445 (thy, ptp, E, (l@[L,R]), e1, a, v);
1448 (t as Const ("Script.Try",_) $ e) a v =
1449 (case appy thy ptp E (l@[R]) e a v of
1450 Napp E => ((*tracing("### appy Try " ^ term2str t);*)
1456 (Const ("Script.Or"(*1*),_) $e1 $ e2 $ a) _ v =
1457 (case appy thy ptp E (l@[L,L,R]) e1 (SOME a) v of
1458 Appy lme => Appy lme
1459 | _ => appy thy ptp E (*env*) (l@[L,R]) e2 (SOME a) v)
1462 (Const ("Script.Or"(*2*),_) $e1 $ e2) a v =
1463 (case appy thy ptp E (l@[L,R]) e1 a v of
1464 Appy lme => Appy lme
1465 | _ => appy thy ptp E (l@[R]) e2 a v)
1467 (* val (thy, ptp, E, l, (Const ("Script.Seq",_) $ e1 $ e2 $ a), _, v)=
1468 (thy, ptp, E,(up@[R]),e2, a, v);
1469 val (thy, ptp, E, l, (Const ("Script.Seq",_) $ e1 $ e2 $ a), _, v)=
1470 (thy, ptp, E,(up@[R,D]),body, a, v);
1473 (Const ("Script.Seq"(*1*),_) $ e1 $ e2 $ a) _ v =
1474 ((*tracing("### appy Seq $ e1 $ e2 $ a, upd_env= "^
1475 (subst2str (upd_env E (a,v))));*)
1476 case appy thy ptp E (l@[L,L,R]) e1 (SOME a) v of
1477 Skip (v,E) => appy thy ptp E (l@[L,R]) e2 (SOME a) v
1480 (* val (thy, ptp, E, l, (Const ("Script.Seq",_) $ e1 $ e2), _, v)=
1481 (thy, ptp, E,(up@[R]),e2, a, v);
1482 val (thy, ptp, E, l, (Const ("Script.Seq",_) $ e1 $ e2), _, v)=
1483 (thy, ptp, E,(l@[R]), e2, a, v);
1484 val (thy, ptp, E, l, (Const ("Script.Seq",_) $ e1 $ e2), _, v)=
1485 (thy, ptp, E,(up@[R,D]),body, a, v);
1488 (Const ("Script.Seq",_) $ e1 $ e2) a v =
1489 (case appy thy ptp E (l@[L,R]) e1 a v of
1490 Skip (v,E) => appy thy ptp E (l@[R]) e2 a v
1493 (*.a leaf has been found*)
1494 | appy (thy as (th,sr)) (pt, p) E l t a v =
1495 (* val (thy as (th,sr),(pt, p),E, l, t, a, v) =
1496 (thy, ptp, E, up@[R,D], body, a, v);
1497 val (thy as (th,sr),(pt, p),E, l, t, a, v) =
1498 (thy, ptp, E, l@[L,R], e, a, v);
1499 val (thy as (th,sr),(pt, p),E, l, t, a, v) =
1500 (thy, ptp, E,(l@[R]), e, a, v);
1502 (case handle_leaf "next " th sr E a v t of
1503 (* val (a', Expr s) = handle_leaf "next " th sr E a v t;
1505 (a', Expr s) => Skip (s, E)
1506 (* val (a', STac stac) = handle_leaf "next " th sr E a v t;
1508 | (a', STac stac) =>
1510 (*val _= tracing("### appy t, vor stac2tac_ is=");
1511 val _= tracing(istate2str (ScrState (E,l,a',v,Sundef,false)));*)
1512 val (m,m') = stac2tac_ pt (assoc_thy th) stac
1514 Subproblem _ => Appy (m', (E,l,a',tac_2res m',Sundef,false))
1515 | _ => (case applicable_in p pt m of
1516 (* val Appl m' = applicable_in p pt m;
1519 ((*tracing("### appy: Appy");*)
1520 Appy (m', (E,l,a',tac_2res m',Sundef,false)))
1521 | _ => ((*tracing("### appy: Napp");*)Napp E))
1525 (* val (scr as Script sc, l, t as Const ("HOL.Let",_) $ _) =
1526 (Script sc, up, go up sc);
1527 nxt_up thy ptp (Script sc) E l ay t a v;
1529 val (thy,ptp,scr as (Script sc),E,l, ay, t as Const ("HOL.Let",_) $ _, a, v)=
1530 (thy,ptp,Script sc, E,up,ay, go up sc, a, v);
1531 nxt_up thy ptp scr E l ay t a v;
1533 fun nxt_up thy ptp (scr as (Script sc)) E l ay
1534 (t as Const ("HOL.Let",_) $ _) a v = (*comes from let=...*)
1535 ((*tracing("### nxt_up1 Let$e: is=");
1536 tracing(istate2str (ScrState (E,l,a,v,Sundef,false)));*)
1538 then nstep_up thy ptp scr E (drop_last l) Napp_ a v
1540 let val up = drop_last l;
1541 val (Const ("HOL.Let",_) $ e $ (Abs (i,T,body))) = go up sc;
1542 val i = mk_Free (i, T);
1543 val E = upd_env E (i, v);
1544 (*val _= tracing("### nxt_up2 Let$e: is=");
1545 val _= tracing(istate2str (ScrState (E,l,a,v,Sundef,false)));*)
1546 in case appy thy ptp (E) (up@[R,D]) body a v of
1547 Appy lre => Appy lre
1548 | Napp E => nstep_up thy ptp scr E up Napp_ a v
1549 | Skip (v,E) => nstep_up thy ptp scr E up Skip_ a v end)
1551 | nxt_up thy ptp scr E l ay
1552 (t as Abs (_,_,_)) a v =
1553 ((*tracing("### nxt_up Abs: " ^ term2str t);*)
1554 nstep_up thy ptp scr E (*enr*) l ay a v)
1556 | nxt_up thy ptp scr E l ay
1557 (t as Const ("HOL.Let",_) $ e $ (Abs (i,T,b))) a v =
1558 ((*tracing("### nxt_up Let$e$Abs: is=");
1559 tracing(istate2str (ScrState (E,l,a,v,Sundef,false)));*)
1560 (*tracing("### nxt_up Let e Abs: " ^ term2str t);*)
1561 nstep_up thy ptp scr (*upd_env*) E (*a,v)*)
1562 (*eno,upd_env env (iar,res),iar,res,saf*) l ay a v)
1564 (*no appy_: never causes Napp -> Helpless*)
1565 | nxt_up (thy as (th,sr)) ptp scr E l _
1566 (Const ("Script.While"(*1*),_) $ c $ e $ _) a v =
1567 if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)
1568 then case appy thy ptp E (l@[L,R]) e a v of
1570 | Napp E => nstep_up thy ptp scr E l Skip_ a v
1571 | Skip (v,E) => nstep_up thy ptp scr E l Skip_ a v
1572 else nstep_up thy ptp scr E l Skip_ a v
1574 (*no appy_: never causes Napp - Helpless*)
1575 | nxt_up (thy as (th,sr)) ptp scr E l _
1576 (Const ("Script.While"(*2*),_) $ c $ e) a v =
1577 if eval_true_ th sr (subst_atomic (upd_env_opt E (a,v)) c)
1578 then case appy thy ptp E (l@[R]) e a v of
1580 | Napp E => nstep_up thy ptp scr E l Skip_ a v
1581 | Skip (v,E) => nstep_up thy ptp scr E l Skip_ a v
1582 else nstep_up thy ptp scr E l Skip_ a v
1584 (* val (scr, l) = (Script sc, up);
1586 | nxt_up thy ptp scr E l ay (Const ("If",_) $ _ $ _ $ _) a v =
1587 nstep_up thy ptp scr E l ay a v
1589 | nxt_up thy ptp scr E l _ (*no appy_: there was already a stac below*)
1590 (Const ("Script.Repeat"(*1*),T) $ e $ _) a v =
1591 (case appy thy ptp (*upd_env*) E (*a,v)*) ((l@[L,R]):loc_) e a v of
1593 | Napp E => ((*tracing("### nxt_up Repeat a: ");*)
1594 nstep_up thy ptp scr E l Skip_ a v)
1595 | Skip (v,E) => ((*tracing("### nxt_up Repeat: Skip res ="^
1596 (Sign.string_of_term(sign_of (assoc_thy thy)) res'));*)
1597 nstep_up thy ptp scr E l Skip_ a v))
1599 | nxt_up thy ptp scr E l _ (*no appy_: there was already a stac below*)
1600 (Const ("Script.Repeat"(*2*),T) $ e) a v =
1601 (case appy thy ptp (*upd_env*) E (*a,v)*) ((l@[R]):loc_) e a v of
1603 | Napp E => ((*tracing("### nxt_up Repeat a: ");*)
1604 nstep_up thy ptp scr E l Skip_ a v)
1605 | Skip (v,E) => ((*tracing("### nxt_up Repeat: Skip res ="^
1606 (Sign.string_of_term(sign_of (assoc_thy thy)) res'));*)
1607 nstep_up thy ptp scr E l Skip_ a v))
1608 (* val (thy, ptp, scr, E, l, _,(t as Const ("Script.Try",_) $ e $ _), a, v) =
1609 (thy, ptp, (Script sc),
1610 E, up, ay,(go up sc), a, v);
1612 | nxt_up thy ptp scr E l _ (*makes Napp to Skip*)
1613 (t as Const ("Script.Try",_) $ e $ _) a v =
1614 ((*tracing("### nxt_up Try " ^ term2str t);*)
1615 nstep_up thy ptp scr E l Skip_ a v )
1616 (* val (thy, ptp, scr, E, l, _,(t as Const ("Script.Try",_) $ e), a, v) =
1617 (thy, ptp, (Script sc),
1618 E, up, ay,(go up sc), a, v);
1620 | nxt_up thy ptp scr E l _ (*makes Napp to Skip*)
1621 (t as Const ("Script.Try"(*2*),_) $ e) a v =
1622 ((*tracing("### nxt_up Try " ^ term2str t);*)
1623 nstep_up thy ptp scr E l Skip_ a v)
1626 | nxt_up thy ptp scr E l ay
1627 (Const ("Script.Or",_) $ _ $ _ $ _) a v = nstep_up thy ptp scr E l ay a v
1629 | nxt_up thy ptp scr E l ay
1630 (Const ("Script.Or",_) $ _ $ _) a v = nstep_up thy ptp scr E l ay a v
1632 | nxt_up thy ptp scr E l ay
1633 (Const ("Script.Or",_) $ _ ) a v =
1634 nstep_up thy ptp scr E (drop_last l) ay a v
1635 (* val (thy, ptp, scr, E, l, ay, (Const ("Script.Seq",_) $ _ $ _ $ _), a, v) =
1636 (thy, ptp, (Script sc),
1637 E, up, ay,(go up sc), a, v);
1639 | nxt_up thy ptp scr E l ay (*all has been done in (*2*) below*)
1640 (Const ("Script.Seq"(*1*),_) $ _ $ _ $ _) a v =
1641 nstep_up thy ptp scr E l ay a v
1642 (* val (thy, ptp, scr, E, l, ay, (Const ("Script.Seq",_) $ _ $ e2), a, v) =
1643 (thy, ptp, (Script sc),
1644 E, up, ay,(go up sc), a, v);
1646 | nxt_up thy ptp scr E l ay (*comes from e2*)
1647 (Const ("Script.Seq"(*2*),_) $ _ $ e2) a v =
1648 nstep_up thy ptp scr E l ay a v
1649 (* val (thy, ptp, scr, E, l, ay, (Const ("Script.Seq",_) $ _), a, v) =
1650 (thy, ptp, (Script sc),
1651 E, up, ay,(go up sc), a, v);
1653 | nxt_up thy ptp (scr as Script sc) E l ay (*comes from e1*)
1654 (Const ("Script.Seq",_) $ _) a v =
1656 then nstep_up thy ptp scr E (drop_last l) Napp_ a v
1658 let val up = drop_last l;
1659 val Const ("Script.Seq"(*2*),_) $ _ $ e2 = go up sc;
1660 in case appy thy ptp E (up@[R]) e2 a v of
1662 | Napp E => nstep_up thy ptp scr E up Napp_ a v
1663 | Skip (v,E) => nstep_up thy ptp scr E up Skip_ a v end
1665 | nxt_up (thy,_) ptp scr E l ay t a v =
1666 error ("nxt_up not impl for " ^ term2str t)
1668 (* val (thy, ptp, (Script sc), E, l, ay, a, v)=
1669 (thy, ptp, scr, E, l, Skip_, a, v);
1670 val (thy, ptp, (Script sc), E, l, ay, a, v)=
1671 (thy, ptp, sc, E, l, Skip_, a, v);
1673 and nstep_up thy ptp (Script sc) E l ay a v =
1674 ((*tracing ("### nstep_up from: " ^ (loc_2str l));
1675 tracing ("### nstep_up from: " ^ term2str (go l sc));*)
1679 val up = drop_last l;
1680 in ((*tracing("### nstep_up to: " ^ term2str (go up sc));*)
1681 nxt_up thy ptp (Script sc) E up ay (go up sc) a v ) end
1682 else (*interpreted to end*)
1683 if ay = Skip_ then Skip (v, E) else Napp E
1686 (* decide for the next applicable stac in the script;
1687 returns (stactic, value) - the value in case the script is finished
1688 12.8.02: ~~~~~ and no assumptions ??? FIXME ???
1689 20.8.02: must return p in case of finished, because the next script
1690 consulted need not be the calling script:
1691 in case of detail ie. _inserted_ PrfObjs, the next stac
1692 has to searched in a script with PblObj.status<>Complete !
1693 (.. not true for other details ..PrfObj ??????????????????
1694 20.8.02: do NOT return safe (is only changed in locate !!!)
1696 (* val (thy, (pt,p), Rfuns {next_rule=ne,...}, RrlsState (f,f',rss,_)) =
1697 (thy', (pt,p), sc, RrlsState (ii t));
1698 val (thy, (pt,p), Rfuns {next_rule=ne,...}, RrlsState (f,f',rss,_)) =
1699 (thy', (pt',p'), sc, is');
1701 fun next_tac (thy,_) (pt,p) (Rfuns {next_rule,...}) (RrlsState(f,f',rss,_), ctxt)=
1702 if f = f' then (End_Detail' (f',[])(*8.6.03*), (Uistate, e_ctxt),
1703 (f', Sundef(*FIXME is no value of next_tac! vor 8.6.03*)))
1705 else (case next_rule rss f of
1706 NONE => (Empty_Tac_, (Uistate, e_ctxt), (e_term, Sundef)) (*helpless*)
1707 (* val SOME (Thm (id,thm)) = next_rule rss f;
1709 | SOME (Thm (id,thm))(*8.6.03: muss auch f' liefern ?!!*) =>
1710 (Rewrite' (thy, "e_rew_ord", e_rls,(*!?!8.6.03*) false,
1711 (id, string_of_thmI thm), f,(e_term,[(*!?!8.6.03*)])),
1712 (Uistate, e_ctxt), (e_term, Sundef))) (*next stac*)
1714 (* val(thy, ptp as (pt,(p,_)), sc as Script (h $ body),ScrState (E,l,a,v,s,b))=
1715 ((thy',srls), (pt,pos), sc, is);
1717 | next_tac thy (ptp as (pt,(p,_)):ptree * pos') (sc as Script (h $ body))
1718 (ScrState (E,l,a,v,s,b), ctxt) =
1719 ((*tracing("### next_tac-----------------: E= ");
1720 tracing( istate2str (ScrState (E,l,a,v,s,b)));*)
1722 then appy thy ptp E [R] body NONE v
1723 else nstep_up thy ptp sc E l Skip_ a v of
1724 Skip (v, _) => (*finished*)
1725 (case par_pbl_det pt p of
1727 let val (_,pblID,_) = get_obj g_spec pt p';
1728 in (Check_Postcond' (pblID, (v, [(*8.6.03 NO asms???*)])),
1729 (e_istate, e_ctxt), (v,s))
1732 (End_Detail' (e_term,[])(*8.6.03*), (e_istate, e_ctxt), (v,s)))
1733 | Napp _ => (Empty_Tac_, (e_istate, e_ctxt), (e_term, Sundef))(*helpless*)
1734 | Appy (m', scrst as (_,_,_,v,_,_)) =>
1735 (m', (ScrState scrst, e_ctxt), (v, Sundef))) (*next stac*)
1737 | next_tac _ _ _ (is, _) = error ("next_tac: not impl for " ^ (istate2str is));
1740 (*.create the initial interpreter state from the items of the guard.*)
1741 (* val (thy, itms, metID) = (thy, itms, mI);
1743 fun init_scrstate thy itms metID =
1744 let val actuals = itms2args thy metID itms;
1745 val scr as Script sc = (#scr o get_met) metID;
1746 val formals = formal_args sc
1747 (*expects same sequence of (actual) args in itms
1748 and (formal) args in met*)
1749 fun relate_args env [] [] = env
1750 | relate_args env _ [] =
1751 error ("ERROR in creating the environment for '"
1752 ^id_of_scr sc^"' from \nthe items of the guard of "
1753 ^metID2str metID^",\n\
1754 \formal arg(s), from the script,\
1755 \ miss actual arg(s), from the guards env:\n"
1756 ^(string_of_int o length) formals
1757 ^" formals: "^terms2str formals^"\n"
1758 ^(string_of_int o length) actuals
1759 ^" actuals: "^terms2str actuals)
1760 | relate_args env [] actual_finds = env (*may drop Find!*)
1761 | relate_args env (a::aa) (f::ff) =
1762 if type_of a = type_of f
1763 then relate_args (env @ [(a, f)]) aa ff else
1764 error ("ERROR in creating the environment for '"
1765 ^id_of_scr sc^"' from \nthe items of the guard of "
1766 ^metID2str metID^",\n\
1767 \different types of formal arg, from the script,\
1768 \ and actual arg, from the guards env:'\n\
1769 \formal: '"^term2str a^"::"^(type2str o type_of) a^"'\n\
1770 \actual: '"^term2str f^"::"^(type2str o type_of) f^"'\n\
1772 \formals: "^terms2str formals^"\n\
1773 \actuals: "^terms2str actuals)
1774 val env = relate_args [] formals actuals;
1775 in (ScrState (env,[],NONE,e_term,Safe,true), e_ctxt, scr):istate * Proof.context * scr end;
1777 (*.decide, where to get script/istate from:
1778 (*1*) from PblObj.env: at begin of script if no init_form
1779 (*2*) from PblObj/PrfObj: if stac is in the middle of the script
1780 (*3*) from rls/PrfObj: in case of detail a ruleset.*)
1781 (* val (thy', (p,p_), pt) = (thy', (p,p_), pt);
1783 fun from_pblobj_or_detail' thy' (p,p_) pt =
1784 if member op = [Pbl,Met] p_
1785 then case get_obj g_env pt p of
1786 NONE => error "from_pblobj_or_detail': no istate"
1788 let val metID = get_obj g_metID pt p
1789 val {srls,...} = get_met metID
1790 in (srls, is, (#scr o get_met) metID) end
1792 let val (pbl,p',rls') = par_pbl_det pt p
1795 let val thy = assoc_thy thy'
1796 val PblObj{meth=itms,...} = get_obj I pt p'
1797 val metID = get_obj g_metID pt p'
1798 val {srls,...} = get_met metID
1799 in (*if last_elem p = 0 (*nothing written to pt yet*)
1800 then let val (is, ctxt, sc) = init_scrstate thy itms metID
1801 in (srls, is, sc) end
1802 else*) (srls, get_loc pt (p,p_), (#scr o get_met) metID)
1805 (e_rls, (*FIXME: get from pbl or met !!!
1806 unused for Rrls in locate_gen, next_tac*)
1809 Rls {scr=scr,...} => scr
1810 | Seq {scr=scr,...} => scr
1811 | Rrls {scr=rfuns,...} => rfuns)
1814 (*.get script and istate from PblObj, see (*1*) above.*)
1815 fun from_pblobj' thy' (p,p_) pt =
1816 let val p' = par_pblobj pt p
1817 val thy = assoc_thy thy'
1818 val PblObj{meth=itms,...} = get_obj I pt p'
1819 val metID = get_obj g_metID pt p'
1820 val {srls,scr,...} = get_met metID
1821 in if last_elem p = 0 (*nothing written to pt yet*)
1822 then let val (is, ctxt, scr) = init_scrstate thy itms metID
1823 in (srls, (is, ctxt), scr) end
1824 else (srls, get_loc pt (p,p_), scr)
1827 (*.get the stactics and problems of a script as tacs
1828 instantiated with the current environment;
1829 l is the location which generated the given formula.*)
1830 (*WN.12.5.03: quick-and-dirty repair for listexpressions*)
1831 fun is_spec_pos Pbl = true
1832 | is_spec_pos Met = true
1833 | is_spec_pos _ = false;
1835 (*. fetch _all_ tactics from script .*)
1836 fun sel_rules _ (([],Res):pos') =
1837 raise PTREE "no tactics applicable at the end of a calculation"
1838 | sel_rules pt (p,p_) =
1840 then [get_obj g_tac pt p]
1842 let val pp = par_pblobj pt p;
1843 val thy' = (get_obj g_domID pt pp):theory';
1844 val thy = assoc_thy thy';
1845 val metID = get_obj g_metID pt pp;
1846 val metID' =if metID =e_metID then(thd3 o snd3)(get_obj g_origin pt pp)
1848 val {scr=Script sc,srls,...} = get_met metID'
1849 val ScrState (env,_,a,v,_,_) = get_istate pt (p,p_);
1850 in map ((stac2tac pt thy) o rep_stacexpr o #2 o
1851 (handle_leaf "selrul" thy' srls env a v)) (stacpbls sc) end;
1853 > val Script sc = (#scr o get_met) ("SqRoot","sqrt-equ-test");
1854 > val env = [((term_of o the o (parse (Thy_Info.get_theory "Isac"))) "bdv",
1855 (term_of o the o (parse (Thy_Info.get_theory "Isac"))) "x")];
1856 > map ((stac2tac pt thy) o #2 o(subst_stacexpr env NONE e_term)) (stacpbls sc);
1860 (*. fetch tactics from script and filter _applicable_ tactics;
1861 in case of Rewrite_Set* go down to _atomic_ rewrite-tactics .*)
1862 fun sel_appl_atomic_tacs _ (([],Res):pos') =
1863 raise PTREE "no tactics applicable at the end of a calculation"
1864 | sel_appl_atomic_tacs pt (p,p_) =
1866 then [get_obj g_tac pt p]
1868 let val pp = par_pblobj pt p
1869 val thy' = (get_obj g_domID pt pp):theory'
1870 val thy = assoc_thy thy'
1871 val metID = get_obj g_metID pt pp
1872 val metID' =if metID = e_metID
1873 then (thd3 o snd3) (get_obj g_origin pt pp)
1875 val {scr=Script sc,srls,erls,rew_ord'=ro,...} = get_met metID'
1876 val ScrState (env,_,a,v,_,_) = get_istate pt (p,p_)
1877 val alltacs = (*we expect at least 1 stac in a script*)
1878 map ((stac2tac pt thy) o rep_stacexpr o #2 o
1879 (handle_leaf "selrul" thy' srls env a v)) (stacpbls sc)
1881 Frm => get_obj g_form pt p
1882 | Res => (fst o (get_obj g_result pt)) p
1883 (*WN071231 ? replace atomic_appl_tacs with applicable_in (ineff!) ?*)
1884 in (distinct o flat o
1885 (map (atomic_appl_tacs thy ro erls f))) alltacs end;
1893 (* use"ME/script.sml";