src/Pure/isac/ME/solve.sml
branchisac-from-Isabelle2009-2
changeset 37871 875b6efa7ced
     1.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.2 +++ b/src/Pure/isac/ME/solve.sml	Wed Jul 21 13:53:39 2010 +0200
     1.3 @@ -0,0 +1,579 @@
     1.4 +(* solve an example by interpreting a method's script
     1.5 +   (c) Walther Neuper 1999
     1.6 +
     1.7 +use"ME/solve.sml";
     1.8 +use"solve.sml";
     1.9 +*)
    1.10 +
    1.11 +fun safe (ScrState (_,_,_,_,s,_)) = s
    1.12 +  | safe (RrlsState _) = Safe;
    1.13 +
    1.14 +type mstID = string;
    1.15 +type tac'_ = mstID * tac; (*DG <-> ME*)
    1.16 +val e_tac'_ = ("Empty_Tac", Empty_Tac):tac'_;
    1.17 +
    1.18 +fun mk_tac'_   m = case m of
    1.19 +  Init_Proof (ppc, spec)    => ("Init_Proof", Init_Proof (ppc, spec )) 
    1.20 +| Model_Problem             => ("Model_Problem", Model_Problem)
    1.21 +| Refine_Tacitly pblID      => ("Refine_Tacitly", Refine_Tacitly pblID)
    1.22 +| Refine_Problem pblID      => ("Refine_Problem", Refine_Problem pblID)
    1.23 +| Add_Given cterm'          => ("Add_Given", Add_Given cterm') 
    1.24 +| Del_Given cterm'          => ("Del_Given", Del_Given cterm') 
    1.25 +| Add_Find cterm'           => ("Add_Find", Add_Find cterm') 
    1.26 +| Del_Find cterm'           => ("Del_Find", Del_Find cterm') 
    1.27 +| Add_Relation cterm'       => ("Add_Relation", Add_Relation cterm') 
    1.28 +| Del_Relation cterm'       => ("Del_Relation", Del_Relation cterm') 
    1.29 +
    1.30 +| Specify_Theory domID	    => ("Specify_Theory", Specify_Theory domID) 
    1.31 +| Specify_Problem pblID     => ("Specify_Problem", Specify_Problem pblID)
    1.32 +| Specify_Method metID	    => ("Specify_Method", Specify_Method metID) 
    1.33 +| Apply_Method metID	    => ("Apply_Method", Apply_Method metID) 
    1.34 +| Check_Postcond pblID	    => ("Check_Postcond", Check_Postcond pblID)
    1.35 +| Free_Solve                => ("Free_Solve",Free_Solve)
    1.36 +		    
    1.37 +| Rewrite_Inst (subs, thm') => ("Rewrite_Inst", Rewrite_Inst (subs, thm')) 
    1.38 +| Rewrite thm'		    => ("Rewrite", Rewrite thm') 
    1.39 +| Rewrite_Asm thm'	    => ("Rewrite_Asm", Rewrite_Asm thm') 
    1.40 +| Rewrite_Set_Inst (subs, rls')
    1.41 +               => ("Rewrite_Set_Inst", Rewrite_Set_Inst (subs, rls')) 
    1.42 +| Rewrite_Set rls'          => ("Rewrite_Set", Rewrite_Set rls') 
    1.43 +| End_Ruleset		    => ("End_Ruleset", End_Ruleset)
    1.44 +
    1.45 +| End_Detail                => ("End_Detail", End_Detail)
    1.46 +| Detail_Set rls'           => ("Detail_Set", Detail_Set rls')
    1.47 +| Detail_Set_Inst (s, rls') => ("Detail_Set_Inst", Detail_Set_Inst (s, rls'))
    1.48 +
    1.49 +| Calculate op_             => ("Calculate", Calculate op_)
    1.50 +| Substitute sube           => ("Substitute", Substitute sube) 
    1.51 +| Apply_Assumption cts'	    => ("Apply_Assumption", Apply_Assumption cts')
    1.52 +
    1.53 +| Take cterm'               => ("Take", Take cterm') 
    1.54 +| Take_Inst cterm'          => ("Take_Inst", Take_Inst cterm') 
    1.55 +| Group (con, ints) 	    => ("Group", Group (con, ints)) 
    1.56 +| Subproblem (domID, pblID) => ("Subproblem", Subproblem (domID, pblID)) 
    1.57 +(*
    1.58 +| Subproblem_Full(spec,cts')=> ("Subproblem_Full", Subproblem_Full(spec,cts')) 
    1.59 +*)
    1.60 +| End_Subproblem            => ("End_Subproblem",End_Subproblem)
    1.61 +| CAScmd cterm'		    => ("CAScmd", CAScmd cterm')
    1.62 +			    
    1.63 +| Split_And                 => ("Split_And", Split_And) 
    1.64 +| Conclude_And		    => ("Conclude_And", Conclude_And) 
    1.65 +| Split_Or                  => ("Split_Or", Split_Or) 
    1.66 +| Conclude_Or		    => ("Conclude_Or", Conclude_Or) 
    1.67 +| Begin_Trans               => ("Begin_Trans", Begin_Trans) 
    1.68 +| End_Trans		    => ("End_Trans", End_Trans) 
    1.69 +| Begin_Sequ                => ("Begin_Sequ", Begin_Sequ) 
    1.70 +| End_Sequ                  => ("End_Sequ", Begin_Sequ) 
    1.71 +| Split_Intersect           => ("Split_Intersect", Split_Intersect) 
    1.72 +| End_Intersect		    => ("End_Intersect", End_Intersect) 
    1.73 +| Check_elementwise cterm'  => ("Check_elementwise", Check_elementwise cterm')
    1.74 +| Or_to_List                => ("Or_to_List", Or_to_List) 
    1.75 +| Collect_Trues	            => ("Collect_Results", Collect_Trues) 
    1.76 +			    
    1.77 +| Empty_Tac               => ("Empty_Tac",Empty_Tac)
    1.78 +| Tac string              => ("Tac",Tac string)
    1.79 +| User                      => ("User",User)
    1.80 +| End_Proof'                => ("End_Proof'",End_Proof'); 
    1.81 +
    1.82 +(*Detail*)
    1.83 +val empty_tac'_ = (mk_tac'_ Empty_Tac):tac'_;
    1.84 +
    1.85 +fun mk_tac ((_,m):tac'_) = m; 
    1.86 +fun mk_mstID ((mI,_):tac'_) = mI;
    1.87 +
    1.88 +fun tac'_2str ((ID,ms):tac'_) = ID ^ (tac2str ms);
    1.89 +(* TODO: tac2str, tac'_2str NOT tested *)
    1.90 +
    1.91 +
    1.92 +
    1.93 +type squ = ptree; (* TODO: safe etc. *)
    1.94 +
    1.95 +(*13.9.02--------------
    1.96 +type ctr = (loc * pos) list;
    1.97 +val ops = [("plus","op +"),("minus","op -"),("times","op *"),
    1.98 +	   ("cancel","cancel"),("pow","pow"),("sqrt","sqrt")];
    1.99 +fun op_intern op_ =
   1.100 +  case assoc (ops,op_) of
   1.101 +    Some op' => op' | None => raise error ("op_intern: no op= "^op_);
   1.102 +-----------------------*)
   1.103 +
   1.104 +
   1.105 +
   1.106 +(* use"ME/solve.sml";
   1.107 +   use"solve.sml";
   1.108 +
   1.109 +val ttt = (term_of o the o (parse thy))"Substitute [(bdv,x)] g";
   1.110 +val ttt = (term_of o the o (parse thy))"Rewrite thmid True g";
   1.111 +
   1.112 +  Const ("Script.Rewrite'_Inst",_) $ sub $ Free (thm',_) $ Const (pa,_) $ f'
   1.113 +   *)
   1.114 +
   1.115 +
   1.116 +
   1.117 +val specsteps = ["Init_Proof","Refine_Tacitly","Refine_Problem",
   1.118 +		 "Model_Problem",(*"Match_Problem",*)
   1.119 +		 "Add_Given","Del_Given","Add_Find","Del_Find",
   1.120 +		 "Add_Relation","Del_Relation",
   1.121 +		 "Specify_Theory","Specify_Problem","Specify_Method"];
   1.122 +
   1.123 +"-----------------------------------------------------------------------";
   1.124 +
   1.125 +
   1.126 +fun step2taci ((tac_, _, pt, p, _):step) = (*FIXXME.040312: redesign step*)
   1.127 +    (tac_2tac tac_, tac_, (p, get_istate pt p)):taci;
   1.128 +
   1.129 +
   1.130 +(*FIXME.WN050821 compare solve ... nxt_solv*)
   1.131 +(* val ("Apply_Method",Apply_Method' (mI,_))=(mI,m);
   1.132 +   val (("Apply_Method",Apply_Method' (mI,_,_)),pt, pos as (p,_))=(m,pt, pos);
   1.133 +   *)
   1.134 +fun solve ("Apply_Method", m as Apply_Method' (mI, _, _)) 
   1.135 +	  (pt:ptree, (pos as (p,_))) =
   1.136 +  let val {srls,...} = get_met mI;
   1.137 +    val PblObj{meth=itms,...} = get_obj I pt p;
   1.138 +    val thy' = get_obj g_domID pt p;
   1.139 +    val thy = assoc_thy thy';
   1.140 +    val (is as ScrState (env,_,_,_,_,_), sc) = init_scrstate thy itms mI;
   1.141 +    val ini = init_form thy sc env;
   1.142 +    val p = lev_dn p;
   1.143 +  in 
   1.144 +      case ini of
   1.145 +	  Some t => (* val Some t = ini; 
   1.146 +	             *)
   1.147 +	  let val (pos,c,_,pt) = 
   1.148 +		  generate1 thy (Apply_Method' (mI, Some t, is))
   1.149 +			    is (lev_on p, Frm)(*implicit Take*) pt;
   1.150 +	  in ("ok",([(Apply_Method mI, Apply_Method' (mI, Some t, is), 
   1.151 +		      ((lev_on p, Frm), is))], c, (pt,pos)):calcstate') 
   1.152 +	  end	      
   1.153 +	| None => (*execute the first tac in the Script, compare solve m*)
   1.154 +	  let val (m', is', _) = next_tac (thy', srls) (pt, (p, Res)) sc is;
   1.155 +	      val d = e_rls (*FIXME: get simplifier from domID*);
   1.156 +	  in 
   1.157 +	      case locate_gen (thy',srls) m' (pt,(p, Res))(sc,d) is' of 
   1.158 +		  Steps (is'', ss as (m'',f',pt',p',c')::_) =>
   1.159 +(* val Steps (is'', ss as (m'',f',pt',p',c')::_) =
   1.160 +       locate_gen (thy',srls) m'  (pt,(p,Res)) (sc,d) is';
   1.161 + *)
   1.162 +		  ("ok", (map step2taci ss, c', (pt',p')))
   1.163 +		| NotLocatable =>  
   1.164 +		  let val (p,ps,f,pt) = 
   1.165 +			  generate_hard (assoc_thy "Isac.thy") m (p,Frm) pt;
   1.166 +		  in ("not-found-in-script",
   1.167 +		      ([(tac_2tac m, m, (pos, is))], ps, (pt,p))) end
   1.168 +    (*just-before------------------------------------------------------
   1.169 +	      ("ok",([(Apply_Method mI,Apply_Method'(mI,None,e_istate),
   1.170 +		       (pos, is))],
   1.171 +		     [], (update_env pt (fst pos) (Some is),pos)))
   1.172 +     -----------------------------------------------------------------*)
   1.173 +	  end
   1.174 +  end
   1.175 +
   1.176 +  | solve ("Free_Solve", Free_Solve')  (pt,po as (p,_)) =
   1.177 +  let (*val _=writeln"###solve Free_Solve";*)
   1.178 +    val p' = lev_dn_ (p,Res);
   1.179 +    val pt = update_metID pt (par_pblobj pt p) e_metID;
   1.180 +  in ("ok", ((*(p',Uistate,Empty_Tac_), EmptyMout, Empty_Tac, Unsafe,*)
   1.181 +      [(Empty_Tac, Empty_Tac_, (po, Uistate))], [], (pt,p'))) end
   1.182 +
   1.183 +(* val (("Check_Postcond",Check_Postcond' (pI,_)), (pt,(pos as (p,p_)))) =
   1.184 +       (  m,                                       (pt, pos));
   1.185 +   *)
   1.186 +  | solve ("Check_Postcond",Check_Postcond' (pI,_)) (pt,(pos as (p,p_))) =
   1.187 +    let (*val _=writeln"###solve Check_Postcond";*)
   1.188 +      val pp = par_pblobj pt p
   1.189 +      val asm = (case get_obj g_tac pt p of
   1.190 +		    Check_elementwise _ => (*collects and instantiates asms*)
   1.191 +		    (snd o (get_obj g_result pt)) p
   1.192 +		  | _ => ((map fst) o (get_assumptions_ pt)) (p,p_))
   1.193 +	  handle _ => [] (*WN.27.5.03 asms in subpbls not completely clear*)
   1.194 +      val metID = get_obj g_metID pt pp;
   1.195 +      val {srls=srls,scr=sc,...} = get_met metID;
   1.196 +      val is as ScrState (E,l,a,_,_,b) = get_istate pt (p,p_); 
   1.197 +     (*val _= writeln("### solve Check_postc, subpbl pos= "^(pos'2str (p,p_)));
   1.198 +      val _= writeln("### solve Check_postc, is= "^(istate2str is));*)
   1.199 +      val thy' = get_obj g_domID pt pp;
   1.200 +      val thy = assoc_thy thy';
   1.201 +      val (_,_,(scval,scsaf)) = next_tac (thy',srls) (pt,(p,p_)) sc is;
   1.202 +      (*val _= writeln("### solve Check_postc, scval= "^(term2str scval));*)
   1.203 +
   1.204 +    in if pp = [] then
   1.205 +	   let val is = ScrState (E,l,a,scval,scsaf,b)
   1.206 +	       val tac_ = Check_Postcond'(pI,(scval, map term2str asm))
   1.207 +	       val (pos,ps,f,pt) = generate1 thy tac_ is (pp,Res) pt;
   1.208 +	   in ("ok", ((*(([],Res),is,End_Proof''), f, End_Proof', scsaf,*)
   1.209 +	       [(Check_Postcond pI, tac_, ((pp,Res),is))], ps,(pt,pos))) end
   1.210 +       else
   1.211 +        let
   1.212 +	  (*resume script of parpbl, transfer value of subpbl-script*)
   1.213 +        val ppp = par_pblobj pt (lev_up p);
   1.214 +	val thy' = get_obj g_domID pt ppp;
   1.215 +        val thy = assoc_thy thy';
   1.216 +	val metID = get_obj g_metID pt ppp;
   1.217 +        val sc = (#scr o get_met) metID;
   1.218 +        val is as ScrState (E,l,a,_,_,b) = get_istate pt (pp(*!/p/*),Frm); 
   1.219 +     (*val _=writeln("### solve Check_postc, parpbl pos= "^(pos'2str(pp,Frm)));
   1.220 +  	val _=writeln("### solve Check_postc, is(pt)= "^(istate2str is));
   1.221 +  	val _=writeln("### solve Check_postc, is'= "^
   1.222 +		      (istate2str (E,l,a,scval,scsaf,b)));*)
   1.223 +        val ((p,p_),ps,f,pt) = 
   1.224 +	    generate1 thy (Check_Postcond' (pI, (scval, map term2str asm)))
   1.225 +		(ScrState (E,l,a,scval,scsaf,b)) (pp,Res) pt;
   1.226 +	(*val _=writeln("### solve Check_postc, is(pt')= "^
   1.227 +		      (istate2str (get_istate pt ([3],Res))));
   1.228 +	val (nx,is',_) = next_tac (thy',srls) (pt,(p,p_)) sc 
   1.229 +				(ScrState (E,l,a,scval,scsaf,b));*)
   1.230 +       in ("ok",(*((pp,Res),is',nx), f, tac_2tac nx, scsaf,*)
   1.231 +	   ([(Check_Postcond pI, Check_Postcond'(pI,(scval, map term2str asm)),
   1.232 +	      ((pp,Res), ScrState (E,l,a,scval,scsaf,b)))],ps,(pt,(p,p_))))
   1.233 +	end
   1.234 +    end
   1.235 +(* val (msg, cs') = 
   1.236 +    ("ok",([(Check_Postcond pI,Check_Postcond'(pI, (scval, map term2str asm))),
   1.237 +	    ((pp,Res),(ScrState (E,l,a,scval,scsaf,b)))], (pt,(p,p_))));
   1.238 +    val (_,(pt',p')) = cs';
   1.239 +   (writeln o istate2str) (get_istate pt' p');
   1.240 +   (term2str o fst) (get_obj g_result pt' (fst p'));
   1.241 +   *)
   1.242 +
   1.243 +(* writeln(istate2str(get_istate pt (p,p_)));
   1.244 +   *)
   1.245 +  | solve (_,End_Proof'') (pt, (p,p_)) =
   1.246 +      ("end-proof",
   1.247 +       ((*(([],Res),Uistate,Empty_Tac_), EmptyMout, Empty_Tac, Safe,*)
   1.248 +       [(Empty_Tac,Empty_Tac_,(([],Res),Uistate))],[],(pt,(p,p_))))
   1.249 +
   1.250 +(*-----------vvvvvvvvvvv could be done by generate1 ?!?*)
   1.251 +  | solve (_,End_Detail' t) (pt,(p,p_)) =
   1.252 +    let val pr as (p',_) = (lev_up p, Res)
   1.253 +	val pp = par_pblobj pt p
   1.254 +	val r = (fst o (get_obj g_result pt)) p' 
   1.255 +	(*Rewrite_Set* done at Detail_Set*: this result is already in ptree*)
   1.256 +	val thy' = get_obj g_domID pt pp
   1.257 +	val (srls, is, sc) = from_pblobj' thy' pr pt
   1.258 +	val (tac_,is',_) = next_tac (thy',srls)  (pt,pr) sc is
   1.259 +    in ("ok", ((*((pp,Frm(*???*)),is,tac_), 
   1.260 +	Form' (FormKF (~1, EdUndef, length p', Nundef, term2str r)),
   1.261 +	tac_2tac tac_, Sundef,*)
   1.262 +	[(End_Detail, End_Detail' t , 
   1.263 +	  ((p,p_), get_istate pt (p,p_)))], [], (pt,pr))) end
   1.264 +
   1.265 +  | solve (mI,m) (pt, po as (p,p_)) =
   1.266 +(* val ((mI,m), (pt, po as (p,p_))) = (m, (pt, pos));
   1.267 +   *)
   1.268 +    if e_metID = get_obj g_metID pt (par_pblobj pt p)(*29.8.02:
   1.269 +						      could be detail, too !!*)
   1.270 +    then let val ((p,p_),ps,f,pt) = 
   1.271 +		 generate1 (assoc_thy (get_obj g_domID pt (par_pblobj pt p))) 
   1.272 +			   m e_istate (p,p_) pt;
   1.273 +	 in ("no-method-specified", (*Free_Solve*)
   1.274 +	     ((*((p,p_),Uistate,Empty_Tac_),f, Empty_Tac, Unsafe,*)
   1.275 +	     [(Empty_Tac,Empty_Tac_, ((p,p_),Uistate))], ps, (pt,(p,p_)))) end
   1.276 +    else
   1.277 +	let 
   1.278 +	    val thy' = get_obj g_domID pt (par_pblobj pt p);
   1.279 +	    val (srls, is, sc) = from_pblobj_or_detail' thy' (p,p_) pt;
   1.280 +(*val _= writeln("### solve, before locate_gen p="^(pos'2str(p,p_)));*)
   1.281 +		val d = e_rls; (*FIXME: canon.simplifier for domain is missing
   1.282 +				8.01: generate from domID?*)
   1.283 +	in case locate_gen (thy',srls) m  (pt,(p,p_)) (sc,d) is of 
   1.284 +	       Steps (is', ss as (m',f',pt',p',c')::_) =>
   1.285 +(* val Steps (is', ss as (m',f',pt',p',c')::_) =
   1.286 +       locate_gen (thy',srls) m  (pt,(p,p_)) (sc,d) is;
   1.287 + *)
   1.288 +	       let (*val _= writeln("### solve, after locate_gen: is= ")
   1.289 +		       val _= writeln(istate2str is')*)
   1.290 +		   (*val nxt_ = 
   1.291 +		       case p' of (*change from solve to model subpbl*)
   1.292 +			   (_,Pbl) => nxt_model_pbl m' (pt',p')
   1.293 +			 | _ => fst3 (next_tac (thy',srls) (pt',p') sc is');*) 
   1.294 +	       (*27.8.02:next_tac may change to other branches in pt FIXXXXME*)
   1.295 +	       in ("ok", ((*(p',is',nxt_), f', tac_2tac nxt_, safe is',*)
   1.296 +		   map step2taci ss, c', (pt',p'))) end
   1.297 +	     | NotLocatable =>  
   1.298 +	       let val (p,ps,f,pt) = 
   1.299 +		       generate_hard (assoc_thy "Isac.thy") m (p,p_) pt;
   1.300 +	       in ("not-found-in-script",
   1.301 +		   ((*(p,Uistate,Empty_Tac_),f, Empty_Tac, Unsafe,*) 
   1.302 +		   [(tac_2tac m, m, (po,is))], ps, (pt,p))) end
   1.303 +	end;
   1.304 +
   1.305 +
   1.306 +(*FIXME.WN050821 compare solve ... nxt_solv*)
   1.307 +(* nxt_solv (Apply_Method'     vvv FIXME: get args in applicable_in *)
   1.308 +fun nxt_solv (Apply_Method' (mI,_,_)) _ (pt:ptree, pos as (p,_)) =
   1.309 +(* val ((Apply_Method' (mI,_,_)),             _,    (pt:ptree, pos as (p,_))) =
   1.310 +       ((Apply_Method' (mI, None, e_istate)), e_istate, ptp);
   1.311 +   *)
   1.312 +  let val {srls,ppc,...} = get_met mI;
   1.313 +    val PblObj{meth=itms,origin=(oris,_,_),probl,...} = get_obj I pt p;
   1.314 +    val itms = if itms <> [] then itms
   1.315 +	       else complete_metitms oris probl [] ppc
   1.316 +    val thy' = get_obj g_domID pt p;
   1.317 +    val thy = assoc_thy thy';
   1.318 +    val (is as ScrState (env,_,_,_,_,_), scr) = init_scrstate thy itms mI;
   1.319 +    val ini = init_form thy scr env;
   1.320 +  in 
   1.321 +    case ini of
   1.322 +    Some t => (* val Some t = ini; 
   1.323 +	         *)
   1.324 +    let val pos = ((lev_on o lev_dn) p, Frm)
   1.325 +	val tac_ = Apply_Method' (mI, Some t, is);
   1.326 +	val (pos,c,_,pt) = (*implicit Take*)
   1.327 +	    generate1 thy tac_ is pos pt
   1.328 +      (*val _= ("### nxt_solv Apply_Method, pos= "^pos'2str (lev_on p,Frm));*)
   1.329 +    in ([(Apply_Method mI, tac_, (pos, is))], c, (pt, pos)):calcstate' end
   1.330 +  | None =>
   1.331 +    let val pt = update_env pt (fst pos) (Some is)
   1.332 +	val (tacis, c, ptp) = nxt_solve_ (pt, pos)
   1.333 +    in (tacis @ 
   1.334 +	[(Apply_Method mI, Apply_Method' (mI, None, e_istate), (pos, is))],
   1.335 +	c, ptp) end
   1.336 +  end
   1.337 +(* val ("Check_Postcond",Check_Postcond' (pI,_)) = (mI,m);
   1.338 +   val (Check_Postcond' (pI,_), _, (pt, pos as (p,p_))) = 
   1.339 +       (tac_,                  is,  ptp);
   1.340 +   *)
   1.341 +  (*TODO.WN050913 remove unnecessary code below*)
   1.342 +  | nxt_solv (Check_Postcond' (pI,_)) _ (pt, pos as (p,p_))  =
   1.343 +    let (*val _=writeln"###solve Check_Postcond";*)
   1.344 +      val pp = par_pblobj pt p
   1.345 +      val asm = (case get_obj g_tac pt p of
   1.346 +		    Check_elementwise _ => (*collects and instantiates asms*)
   1.347 +		    (snd o (get_obj g_result pt)) p
   1.348 +		  | _ => ((map fst) o (get_assumptions_ pt)) (p,p_))
   1.349 +	  handle _ => [] (*WN.27.5.03 asms in subpbls not completely clear*)
   1.350 +      val metID = get_obj g_metID pt pp;
   1.351 +      val {srls=srls,scr=sc,...} = get_met metID;
   1.352 +      val is as ScrState (E,l,a,_,_,b) = get_istate pt (p,p_); 
   1.353 +     (*val _= writeln("### solve Check_postc, subpbl pos= "^(pos'2str (p,p_)));
   1.354 +      val _= writeln("### solve Check_postc, is= "^(istate2str is));*)
   1.355 +      val thy' = get_obj g_domID pt pp;
   1.356 +      val thy = assoc_thy thy';
   1.357 +      val (_,_,(scval,scsaf)) = next_tac (thy',srls) (pt,(p,p_)) sc is;
   1.358 +      (*val _= writeln("### solve Check_postc, scval= "^(term2str scval));*)
   1.359 +    in if pp = [] then 
   1.360 +	   let val is = ScrState (E,l,a,scval,scsaf,b)
   1.361 +	       val tac_ = Check_Postcond'(pI,(scval, map term2str asm))
   1.362 +           (*val _= writeln"### nxt_solv2 Apply_Method: stored is =";
   1.363 +               val _= writeln(istate2str is);*)
   1.364 +	       val ((p,p_),ps,f,pt) = 
   1.365 +		   generate1 thy tac_ is (pp,Res) pt;
   1.366 +	   in ([(Check_Postcond pI, tac_, ((pp,Res), is))],ps,(pt, (p,p_))) end
   1.367 +       else
   1.368 +        let
   1.369 +	  (*resume script of parpbl, transfer value of subpbl-script*)
   1.370 +        val ppp = par_pblobj pt (lev_up p);
   1.371 +	val thy' = get_obj g_domID pt ppp;
   1.372 +        val thy = assoc_thy thy';
   1.373 +	val metID = get_obj g_metID pt ppp;
   1.374 +	val {scr,...} = get_met metID;
   1.375 +        val is as ScrState (E,l,a,_,_,b) = get_istate pt (pp(*!/p/*),Frm)
   1.376 +        val tac_ = Check_Postcond' (pI, (scval, map term2str asm))
   1.377 +	val is = ScrState (E,l,a,scval,scsaf,b)
   1.378 +    (*val _= writeln"### nxt_solv3 Apply_Method: stored is =";
   1.379 +        val _= writeln(istate2str is);*)
   1.380 +        val ((p,p_),ps,f,pt) = generate1 thy tac_ is (pp, Res) pt;
   1.381 +	(*val (nx,is',_) = next_tac (thy',srls) (pt,(p,p_)) scr is;WN050913*)
   1.382 +       in ([(Check_Postcond pI, tac_, ((pp, Res), is))], ps, (pt, (p,p_))) end
   1.383 +    end
   1.384 +(* writeln(istate2str(get_istate pt (p,p_)));
   1.385 +   *)
   1.386 +
   1.387 +(*.start interpreter and do one rewrite.*)
   1.388 +(* val (_,Detail_Set'(thy',rls,t)) = (mI,m); val p = (p,p_);
   1.389 +   solve ("",Detail_Set'(thy', rls, t)) p pt;
   1.390 +  | nxt_solv (Detail_Set'(thy', rls, t)) _ (pt, p) = **********
   1.391 +---> FE-interface/sml.sml
   1.392 +
   1.393 +  | nxt_solv (End_Detail' t) _ (pt, (p,p_)) = **********
   1.394 +    let val pr as (p',_) = (lev_up p, Res)
   1.395 +	val pp = par_pblobj pt p
   1.396 +	val r = (fst o (get_obj g_result pt)) p' 
   1.397 +	(*Rewrite_Set* done at Detail_Set*: this result is already in ptree*)
   1.398 +	val thy' = get_obj g_domID pt pp
   1.399 +	val (srls, is, sc) = from_pblobj' thy' pr pt
   1.400 +	val (tac_,is',_) = next_tac (thy',srls)  (pt,pr) sc is
   1.401 +    in (pr, ((pp,Frm(*???*)),is,tac_), 
   1.402 +	Form' (FormKF (~1, EdUndef, length p', Nundef, term2str r)),
   1.403 +	tac_2tac tac_, Sundef, pt) end
   1.404 +*)
   1.405 +  | nxt_solv (End_Proof'') _ ptp = ([], [], ptp)
   1.406 +
   1.407 +  | nxt_solv tac_ is (pt, pos as (p,p_)) =
   1.408 +(* val (pt, pos as (p,p_)) = ptp;
   1.409 +   *)
   1.410 +    let val pos = case pos of
   1.411 +		      (p, Met) => ((lev_on o lev_dn) p, Frm)(*begin script*)
   1.412 +		    | (p, Res) => (lev_on p,Res) (*somewhere in script*)
   1.413 +		    | _ => pos  (*somewhere in script*)
   1.414 +    (*val _= writeln"### nxt_solv4 Apply_Method: stored is =";
   1.415 +        val _= writeln(istate2str is);*)
   1.416 +	val (pos',c,_,pt) = generate1 (assoc_thy "Isac.thy") tac_ is pos pt;
   1.417 +    in ([(tac_2tac tac_, tac_, (pos,is))], c, (pt, pos')) end
   1.418 +
   1.419 +
   1.420 +  (*(p,p_), (([],Res),Uistate,Empty_Tac_), EmptyMout, Empty_Tac, Safe, pt*)
   1.421 +
   1.422 +
   1.423 +(*.find the next tac from the script, nxt_solv will update the ptree.*)
   1.424 +(* val (ptp as (pt,pos as (p,p_))) = ptp';
   1.425 +   val (ptp as (pt, pos as (p,p_))) = ptp'';
   1.426 +   val (ptp as (pt, pos as (p,p_))) = ptp;
   1.427 +   val (ptp as (pt, pos as (p,p_))) = (pt,ip);
   1.428 +   val (ptp as (pt, pos as (p,p_))) = (pt, pos);
   1.429 +   *)
   1.430 +and nxt_solve_ (ptp as (pt, pos as (p,p_))) =
   1.431 +    if e_metID = get_obj g_metID pt (par_pblobj pt p)
   1.432 +    then ([], [], (pt,(p,p_))):calcstate'
   1.433 +    else let val thy' = get_obj g_domID pt (par_pblobj pt p);
   1.434 +	     val (srls, is, sc) = from_pblobj_or_detail' thy' (p,p_) pt;
   1.435 +	     val (tac_,is,(t,_)) = next_tac (thy',srls) (pt,pos) sc is;
   1.436 +	 (*TODO here ^^^  return finished/helpless/ok !*)
   1.437 +	 (* val (tac_',is',(t',_)) = next_tac (thy',srls) (pt,pos) sc is;
   1.438 +	    *)
   1.439 +	 in case tac_ of
   1.440 +		End_Detail' _ => ([(End_Detail, 
   1.441 +				    End_Detail' (t,[(*FIXME.040215*)]), 
   1.442 +				    (pos, is))], [], (pt, pos))
   1.443 +	      | _ => nxt_solv tac_ is ptp end;
   1.444 +
   1.445 +(*.says how may steps of a calculation should be done by "fun autocalc".*)
   1.446 +(*TODO.WN0512 redesign togehter with autocalc ?*)
   1.447 +datatype auto = 
   1.448 +  Step of int      (*1 do #int steps; may stop in model/specify:
   1.449 +		     IS VERY INEFFICIENT IN MODEL/SPECIY*)
   1.450 +| CompleteModel    (*2 complete modeling
   1.451 +                     if model complete, finish specifying + start solving*)
   1.452 +| CompleteCalcHead (*3 complete model/specify in one go + start solving*)
   1.453 +| CompleteToSubpbl (*4 stop at the next begin of a subproblem,
   1.454 +                     if none, complete the actual (sub)problem*)
   1.455 +| CompleteSubpbl   (*5 complete the actual (sub)problem (incl.ev.subproblems)*)
   1.456 +| CompleteCalc;    (*6 complete the calculation as a whole*)	
   1.457 +fun autoord (Step _ ) = 1
   1.458 +  | autoord CompleteModel = 2
   1.459 +  | autoord CompleteCalcHead = 3
   1.460 +  | autoord CompleteToSubpbl = 4
   1.461 +  | autoord CompleteSubpbl = 5
   1.462 +  | autoord CompleteCalc = 6;
   1.463 +
   1.464 +(* val (auto, c, (ptp as (_, p))) = (auto, (c@c'), ptp);
   1.465 +   *)
   1.466 +fun complete_solve auto c (ptp as (_, p): ptree * pos') =
   1.467 +    if p = ([], Res) then ("end-of-calculation", [], ptp) else
   1.468 +    case nxt_solve_ ptp of
   1.469 +	((Subproblem _, tac_, (_, is))::_, c', ptp') =>
   1.470 +(* val ptp' = ptp''';
   1.471 +   *)
   1.472 +	if autoord auto < 5 then ("ok", c@c', ptp)
   1.473 +	else let val ptp = all_modspec ptp';
   1.474 +	         val (_, c'', ptp) = all_solve auto (c@c') ptp;
   1.475 +	     in complete_solve auto (c@c'@c'') ptp end
   1.476 +      | ((Check_Postcond _, tac_, (_, is))::_, c', ptp' as (_, p')) =>
   1.477 +	if autoord auto < 6 orelse p' = ([],Res) then ("ok", c@c', ptp')
   1.478 +	else complete_solve auto (c@c') ptp'
   1.479 +      | ((End_Detail, _, _)::_, c', ptp') => 
   1.480 +	if autoord auto < 6 then ("ok", c@c', ptp')
   1.481 +	else complete_solve auto (c@c') ptp'
   1.482 +      | (_, c', ptp') => complete_solve auto (c@c') ptp'
   1.483 +(* val (tacis, c', ptp') = nxt_solve_ ptp;
   1.484 +   val (tacis, c', ptp'') = nxt_solve_ ptp';
   1.485 +   val (tacis, c', ptp''') = nxt_solve_ ptp'';
   1.486 +   val (tacis, c', ptp'''') = nxt_solve_ ptp''';
   1.487 +   val (tacis, c', ptp''''') = nxt_solve_ ptp'''';
   1.488 +   *)
   1.489 +and all_solve auto c (ptp as (pt, (p,_)): ptree * pos') = 
   1.490 +(* val (ptp as (pt, (p,_))) = ptp;
   1.491 +   val (ptp as (pt, (p,_))) = ptp';
   1.492 +   val (ptp as (pt, (p,_))) = (pt, pos);
   1.493 +   *)
   1.494 +    let val (_,_,mI) = get_obj g_spec pt p;
   1.495 +        val (_, c', ptp) = nxt_solv (Apply_Method' (mI, None, e_istate))
   1.496 +				e_istate ptp;
   1.497 +    in complete_solve auto (c@c') ptp end;
   1.498 +(*@@@ vvv @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@*)
   1.499 +fun complete_solve auto c (ptp as (_, p as (_,p_)): ptree * pos') =
   1.500 +    if p = ([], Res) then ("end-of-calculation", [], ptp) else
   1.501 +    if p_ mem [Pbl, Met]
   1.502 +    then let val ptp = all_modspec ptp
   1.503 +	     val (_, c', ptp) = all_solve auto c ptp
   1.504 +	 in complete_solve auto (c@c') ptp end
   1.505 +    else case nxt_solve_ ptp of
   1.506 +	     ((Subproblem _, tac_, (_, is))::_, c', ptp') =>
   1.507 +	     if autoord auto < 5 then ("ok", c@c', ptp)
   1.508 +	     else let val ptp = all_modspec ptp'
   1.509 +		      val (_, c'', ptp) = all_solve auto (c@c') ptp
   1.510 +		  in complete_solve auto (c@c'@c'') ptp end
   1.511 +	   | ((Check_Postcond _, tac_, (_, is))::_, c', ptp' as (_, p')) =>
   1.512 +	     if autoord auto < 6 orelse p' = ([],Res) then ("ok", c@c', ptp')
   1.513 +	     else complete_solve auto (c@c') ptp'
   1.514 +	   | ((End_Detail, _, _)::_, c', ptp') => 
   1.515 +	     if autoord auto < 6 then ("ok", c@c', ptp')
   1.516 +	     else complete_solve auto (c@c') ptp'
   1.517 +	   | (_, c', ptp') => complete_solve auto (c@c') ptp'
   1.518 +and all_solve auto c (ptp as (pt, (p,_)): ptree * pos') = 
   1.519 +    let val (_,_,mI) = get_obj g_spec pt p
   1.520 +        val (_, c', ptp) = nxt_solv (Apply_Method' (mI, None, e_istate))
   1.521 +				    e_istate ptp
   1.522 +    in complete_solve auto (c@c') ptp end;
   1.523 +
   1.524 +(*.aux.fun for detailrls with Rrls, reverse rewriting.*)
   1.525 +(* val (nds, t, ((rule, (t', asm)) :: rts)) = ([], t, rul_terms);
   1.526 +   *)
   1.527 +fun rul_terms_2nds nds t [] = nds
   1.528 +  | rul_terms_2nds nds t ((rule, res as (t', _)) :: rts) =
   1.529 +    (append_atomic [] e_istate t (rule2tac [] rule) res Complete EmptyPtree) ::
   1.530 +    (rul_terms_2nds nds t' rts);
   1.531 +
   1.532 +
   1.533 +(*. detail steps done internally by Rewrite_Set* 
   1.534 +    into ctree by use of a script .*)
   1.535 +(* val (pt, (p,p_)) = (pt, pos);
   1.536 +   *)
   1.537 +fun detailrls pt ((p,p_):pos') = 
   1.538 +    let val t = get_obj g_form pt p
   1.539 +	val tac = get_obj g_tac pt p
   1.540 +	val rls = (assoc_rls o rls_of) tac
   1.541 +    in case rls of
   1.542 +(* val Rrls {scr = Rfuns {init_state,...},...} = rls;
   1.543 +   *)
   1.544 +	   Rrls {scr = Rfuns {init_state,...},...} => 
   1.545 +	   let val (_,_,_,rul_terms) = init_state t
   1.546 +	       val newnds = rul_terms_2nds [] t rul_terms
   1.547 +	       val pt''' = ins_chn newnds pt p 
   1.548 +	   in ("detailrls", pt''', (p @ [length newnds], Res):pos') end
   1.549 +	 | _ =>
   1.550 +	   let val is = init_istate tac t
   1.551 +	(*TODO.WN060602 ScrState (["(t_, Problem (Isac,[equation,univar]))"]
   1.552 +				      is wrong for simpl, but working ?!? *)
   1.553 +	       val tac_ = Apply_Method' (e_metID(*WN0402: see generate1 !?!*), 
   1.554 +					 Some t, is)
   1.555 +	       val pos' = ((lev_on o lev_dn) p, Frm)
   1.556 +	       val thy = assoc_thy "Isac.thy"
   1.557 +	       val (_,_,_,pt') = (*implicit Take*)generate1 thy tac_ is pos' pt
   1.558 +	       val (_,_,(pt'',_)) = complete_solve CompleteSubpbl [] (pt',pos')
   1.559 +	       val newnds = children (get_nd pt'' p)
   1.560 +	       val pt''' = ins_chn newnds pt p 
   1.561 +	   (*complete_solve cuts branches after*)
   1.562 +	   in ("detailrls", pt'''(*, get_formress [] ((lev_on o lev_dn) p)cn*),
   1.563 +	       (p @ [length newnds], Res):pos') end
   1.564 +    end;
   1.565 +
   1.566 +
   1.567 +
   1.568 +(* val(mI,m)=m;val ppp=p;(*!!!*)val(p,p_)=pos;val(_,pt,_)=ppp(*!!!*);
   1.569 +   get_form ((mI,m):tac'_) ((p,p_):pos') ppp;
   1.570 +   *)
   1.571 +fun get_form ((mI,m):tac'_) ((p,p_):pos') pt = 
   1.572 +  case applicable_in (p,p_) pt m of
   1.573 +    Notappl e => Error' (Error_ e)
   1.574 +  | Appl m => 
   1.575 +      (* val Appl m=applicable_in (p,p_) pt m;
   1.576 +         *)
   1.577 +      if mI mem specsteps
   1.578 +	then let val (_,_,f,_,_,_) = specify m (p,p_) [] pt
   1.579 +	     in f end
   1.580 +      else let val (*_,_,f,_,_,_*)_ = solve (mI,m) (pt,(p,p_))
   1.581 +	   in (*f*) EmptyMout end;
   1.582 +