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