src/Tools/isac/Scripts/rewrite.sml
branchisac-update-Isa09-2
changeset 37947 22235e4dbe5f
parent 37946 a28b5fc129b7
child 37948 ed85f172569c
     1.1 --- a/src/Tools/isac/Scripts/rewrite.sml	Wed Aug 25 15:15:01 2010 +0200
     1.2 +++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.3 @@ -1,736 +0,0 @@
     1.4 -(* isac's rewriter
     1.5 -   (c) Walther Neuper 2000
     1.6 -
     1.7 -use"Scripts/rewrite.sml"; 
     1.8 -use"rewrite.sml";
     1.9 -*)
    1.10 -
    1.11 -
    1.12 -exception NO_REWRITE;
    1.13 -exception STOP_REW_SUB; (*WN050820 quick and dirty*)
    1.14 -
    1.15 -(*17.6.00: rewrite by going down the term with rew_sub*)
    1.16 -(* val (thy, i, bdv, tless, rls, put_asm, thm, ct) =
    1.17 -       (thy, 1, []:(Term.term * Term.term) list, rew_ord, erls, bool,thm,term);
    1.18 -   *)
    1.19 -fun rewrite__ thy i bdv tless rls put_asm thm ct =
    1.20 -  ((*writeln ("@@@ r..te__ begin: t = "^(term2str ct));*)
    1.21 -   let
    1.22 -    val (t',asms,lrd,rew) = 
    1.23 -	rew_sub thy i bdv tless rls put_asm [(*root of the term*)]
    1.24 -		(((inst_bdv bdv) o norm o #prop o rep_thm) thm) ct;
    1.25 -  in if rew then SOME (t', distinct asms)
    1.26 -     else NONE end)
    1.27 -(* val(r,t)=(((inst_bdv bdv) o norm o #prop o rep_thm) thm,ct);
    1.28 -   val t1 = (#prop o rep_thm) thm;
    1.29 -   val t2 = norm t1;
    1.30 -   val t3 = inst_bdv bdv t2;
    1.31 -
    1.32 -   val thm4 = read_instantiate [("bdv","x")] thm;
    1.33 -   val t4 = (norm o #prop o rep_thm) thm4;
    1.34 -   *)
    1.35 -(* val (thy, i, bdv, tless, rls, put_asm, r,             t) = 
    1.36 -       (thy, i,bdv, tless, rls, put_asm, 
    1.37 -	(((inst_bdv bdv) o norm o #prop o rep_thm) thm), ct);
    1.38 -   val (thy, i, bdv, tless, rls, put_asm, lrd, r, t) = 
    1.39 -       (thy, 1, [],  ord,   erls,false,   [],  r, t);
    1.40 -   val (thy, i, bdv, tless, rls, put_asm, lrd, r, t) = 
    1.41 -       (thy, i, bdv, tless, rls, put_asm, [],  
    1.42 -	((inst_bdv bdv) o norm o #prop o rep_thm) thm, ct);
    1.43 -   *)
    1.44 -and rew_sub thy i bdv tless rls put_asm lrd r t = 
    1.45 -  ((*writeln ("@@@ rew_sub begin: t = "^(term2str t));*)
    1.46 -    let                  (* copy from Pure/thm.ML: fun rewritec *)
    1.47 -     (*val (lhs,rhs) = (dest_equals' o strip_trueprop 
    1.48 -		      o Logic.strip_imp_concl) r;
    1.49 -     val insts = Pattern.match (Sign.tsig_of (sign_of thy)) (lhs,t);
    1.50 -     val r' = ren_inst (insts, r, lhs, t);
    1.51 -     val p' = map strip_trueprop (Logic.strip_imp_prems r'); 
    1.52 -     val t' = (snd o dest_equals' o strip_trueprop 
    1.53 -	       o Logic.strip_imp_concl) r';*)
    1.54 -     val (lhs, rhs) = (HOLogic.dest_eq o HOLogic.dest_Trueprop
    1.55 -                       o Logic.strip_imp_concl) r;
    1.56 -     val r' = Envir.subst_term (Pattern.match thy (lhs, t) 
    1.57 -					      (Vartab.empty, Vartab.empty)) r;
    1.58 -     val p' = (fst o Logic.strip_prems) (Logic.count_prems r', [], r');
    1.59 -     val t' = (snd o HOLogic.dest_eq o HOLogic.dest_Trueprop 
    1.60 -               o Logic.strip_imp_concl) r';
    1.61 -     (*val _= writeln("@@@ rew_sub match: t'= "^(term2str t'));*)
    1.62 -     val _= if ! trace_rewrite andalso i < ! depth andalso p' <> []
    1.63 -	    then writeln((idt"#"(i+1))^" eval asms: "^(term2str r')) else();
    1.64 -     val (t'',p'') = (*conditional rewriting*)
    1.65 -	 let val (simpl_p', nofalse) = eval__true thy (i+1) p' bdv rls 	     
    1.66 -	 in if nofalse
    1.67 -	    then (if ! trace_rewrite andalso i < ! depth andalso p' <> []
    1.68 -		  then writeln((idt"#"(i+1))^" asms accepted: "^(terms2str p')^
    1.69 -			       "   stored: "^(terms2str simpl_p'))
    1.70 -		  else(); (t',simpl_p'))                  (* + uncond.rew. *)
    1.71 -	    else 
    1.72 -		(if ! trace_rewrite andalso i < ! depth 
    1.73 -		 then writeln((idt"#"(i+1))^" asms false: "^(terms2str p')) 
    1.74 -		 else(); raise STOP_REW_SUB (*dont go into subterms of cond*))
    1.75 -	 end
    1.76 -   in if perm lhs rhs andalso not (tless bdv (t',t)) (*ordered rewriting*)
    1.77 -	then (if ! trace_rewrite andalso i < ! depth 
    1.78 -	      then writeln((idt"#"i)^" not: \""^
    1.79 -	      (term2str t)^"\" > \""^
    1.80 -	      (term2str t')^"\"") else (); 
    1.81 -	      raise NO_REWRITE )
    1.82 -	else ((*writeln("##@ rew_sub: (t''= "^(term2str t'')^
    1.83 -		      ", p'' ="^(terms2str p'')^", true)");*)
    1.84 -	      (t'',p'',[],true))
    1.85 -   end
    1.86 -   ) handle _ (*NO_REWRITE WN050820 causes diff.behav. in tests + MATCH!*) => 
    1.87 -     ((*writeln ("@@@ rew_sub gosub: t = "^(term2str t));*)
    1.88 -      case t of
    1.89 -	Const(s,T) => (Const(s,T),[],lrd,false)
    1.90 -      | Free(s,T) => (Free(s,T),[],lrd,false)
    1.91 -      | Var(n,T) => (Var(n,T),[],lrd,false)
    1.92 -      | Bound i => (Bound i,[],lrd,false)
    1.93 -      | Abs(s,T,body) => 
    1.94 -	  let val (t', asms, lrd, rew) = 
    1.95 -		  rew_sub thy i bdv tless rls put_asm (lrd@[D]) r body
    1.96 -	  in (Abs(s,T,t'), asms, [], rew) end
    1.97 -      | t1 $ t2 => 
    1.98 -	  let val (t2', asm2, lrd, rew2) = 
    1.99 -		  rew_sub thy i bdv tless rls put_asm (lrd@[R]) r t2
   1.100 -	  in if rew2 then (t1 $ t2', asm2, lrd, true)
   1.101 -	     else let val (t1', asm1, lrd, rew1) = 
   1.102 -	       rew_sub thy i bdv tless rls put_asm (lrd@[L]) r t1
   1.103 -		  in if rew1 then (t1' $ t2, asm1, lrd, true)
   1.104 -		     else (t1 $ t2,[], lrd, false) end
   1.105 -	  end)
   1.106 -(* val (cprems',rls)=([pre],prls);
   1.107 -   rewrite__set_ thy i false rls pre;
   1.108 -   *)
   1.109 -and eval__true thy i asms bdv rls =
   1.110 -(* val (thy, i, asms, bdv, rls) = (thy, (i+1), p', bdv, rls);
   1.111 -   *)
   1.112 -  if asms = [HOLogic.true_const] orelse asms = [] 
   1.113 -  then ([], true) else if asms = [HOLogic.false_const] then ([], false)
   1.114 -  else let                            
   1.115 -      fun chk indets [] = (indets, true)(*return asms<>True until false*)
   1.116 -	| chk indets (a::asms) =
   1.117 -(* val (indets, (a::asms)) = ([], asms);
   1.118 -   *) 
   1.119 -	  (case rewrite__set_ thy (i+1) false bdv rls a of
   1.120 -	      NONE => (chk (indets @ [a]) asms)
   1.121 -	    | SOME (t, a') =>
   1.122 -	      if t = HOLogic.true_const 
   1.123 -	      then (chk (indets @ a') asms)
   1.124 -	      else if t = HOLogic.false_const then ([], false)
   1.125 -	      (*asm false .. thm not applied ^^^; continue until False vvv*)
   1.126 -	      else (chk (indets @ [t] @ a') asms));
   1.127 -  in chk [] asms end
   1.128 -	   
   1.129 -and rewrite__set_ _ _ __ Erls t = 
   1.130 -    raise error("rewrite__set_ called with 'Erls' for '"^term2str t^"'")
   1.131 -  | rewrite__set_ thy i _ _ (rrls as Rrls _) t =
   1.132 -    let val _= if ! trace_rewrite andalso i < ! depth 
   1.133 -	       then writeln ((idt"#"i)^" rls: "^(id_rls rrls)^" on: "^
   1.134 -			     (term2str t)) else ()
   1.135 -	val (t', asm, rew) = app_rev thy (i+1) rrls t
   1.136 -    in if rew then SOME (t', distinct asm)
   1.137 -       else NONE end
   1.138 -  | rewrite__set_ thy i put_asm bdv rls ct =
   1.139 -(* val (thy, i, put_asm, bdv, rls, ct) = (thy, 1, bool, [], rls, term);
   1.140 -   *)
   1.141 -  let
   1.142 -    datatype switch = Appl | Noap;
   1.143 -    fun rew_once ruls asm ct Noap [] = (ct,asm)
   1.144 -      | rew_once ruls asm ct Appl [] = 
   1.145 -	(case rls of Rls _ => rew_once ruls asm ct Noap ruls
   1.146 -		   | Seq _ => (ct,asm))
   1.147 -      | rew_once ruls asm ct apno (rul::thms) =
   1.148 -(* val (ruls, asm, ct, apno, (rul::thms)) = (ruls, [], ct, Noap, ruls);
   1.149 -   val Thm (thmid, thm) = rul;
   1.150 -   *)
   1.151 -      case rul of
   1.152 -	Thm (thmid, thm) =>
   1.153 -	  (if !trace_rewrite andalso i < ! depth 
   1.154 -	   then writeln((idt"#"(i+1))^" try thm: "^thmid) else ();
   1.155 -	   case rewrite__ thy (i+1) bdv ((snd o #rew_ord o rep_rls) rls)
   1.156 -	     ((#erls o rep_rls) rls) put_asm thm ct of
   1.157 -	     NONE => rew_once ruls asm ct apno thms
   1.158 -	   | SOME (ct',asm') => (if ! trace_rewrite andalso i < ! depth 
   1.159 -	     then writeln((idt"="(i+1))^" rewrites to: "^
   1.160 -			  (term2str ct')) else ();
   1.161 -	       rew_once ruls (union (op =) asm asm') ct' Appl (rul::thms)))
   1.162 -      | Calc (cc as (op_,_)) => 
   1.163 -	  (let val _= if !trace_rewrite andalso i < ! depth then
   1.164 -		      writeln((idt"#"(i+1))^" try calc: "^op_^"'") else ();
   1.165 -	     val ct = uminus_to_string ct
   1.166 -	   in case get_calculation_ thy cc ct of
   1.167 -	     NONE => ((*writeln "@@@ rewrite__set_: get_calculation_-> NONE";*)
   1.168 -		      rew_once ruls asm ct apno thms)
   1.169 -	   | SOME (thmid, thm') => 
   1.170 -	       let 
   1.171 -		 val pairopt = 
   1.172 -		   rewrite__ thy (i+1) bdv ((snd o #rew_ord o rep_rls) rls)
   1.173 -		   ((#erls o rep_rls) rls) put_asm thm' ct;
   1.174 -		 val _ = if pairopt <> NONE then () 
   1.175 -			 else raise error("rewrite_set_, rewrite_ \""^
   1.176 -			 (string_of_thmI thm')^"\" "^(term2str ct)^" = NONE")
   1.177 -		 val _ = if ! trace_rewrite andalso i < ! depth 
   1.178 -			   then writeln((idt"="(i+1))^" calc. to: "^
   1.179 -					(term2str ((fst o the) pairopt)))
   1.180 -			 else()
   1.181 -	       in rew_once ruls asm ((fst o the) pairopt) Appl(rul::thms) end
   1.182 -	   end)
   1.183 -(* use"Scripts/rewrite.sml";
   1.184 -   @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@*)
   1.185 -      | Cal1 (cc as (op_,_)) => 
   1.186 -	  (let val _= if !trace_rewrite andalso i < ! depth then
   1.187 -		      writeln((idt"#"(i+1))^" try cal1: "^op_^"'") else ();
   1.188 -	     val ct = uminus_to_string ct
   1.189 -	   in case get_calculation1_ thy cc ct of
   1.190 -	     NONE => (ct, asm)
   1.191 -	   | SOME (thmid, thm') =>
   1.192 -	       let 
   1.193 -		 val pairopt = 
   1.194 -		   rewrite__ thy (i+1) bdv ((snd o #rew_ord o rep_rls) rls)
   1.195 -		   ((#erls o rep_rls) rls) put_asm thm' ct;
   1.196 -		 val _ = if pairopt <> NONE then () 
   1.197 -			 else raise error("rewrite_set_, rewrite_ \""^
   1.198 -			 (string_of_thmI thm')^"\" "^(term2str ct)^" = NONE")
   1.199 -		 val _ = if ! trace_rewrite andalso i < ! depth 
   1.200 -			   then writeln((idt"="(i+1))^" cal1. to: "^
   1.201 -					(term2str ((fst o the) pairopt)))
   1.202 -			 else()
   1.203 -	       in the pairopt end
   1.204 -	   end)
   1.205 -(*@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@*)
   1.206 -      | Rls_ rls' => 
   1.207 -	(case rewrite__set_ thy (i+1) put_asm bdv rls' ct of
   1.208 -	     SOME (t',asm') => rew_once ruls (union (op =) asm asm') t' Appl thms
   1.209 -	   | NONE => rew_once ruls asm ct apno thms);
   1.210 -
   1.211 -    val ruls = (#rules o rep_rls) rls;
   1.212 -    val _= if ! trace_rewrite andalso i < ! depth 
   1.213 -	   then writeln ((idt"#"i)^" rls: "^(id_rls rls)^" on: "^
   1.214 -			 (term2str ct)) else ()
   1.215 -    val (ct',asm') = rew_once ruls [] ct Noap ruls;
   1.216 -  in if ct = ct' then NONE else SOME (ct', distinct asm') end
   1.217 -
   1.218 -and app_rev thy i rrls t = 
   1.219 -    let (*.check a (precond, pattern) of a rev-set; stops with 1st true.*)
   1.220 -	fun chk_prepat thy erls [] t = true
   1.221 -	  | chk_prepat thy erls prepat t =
   1.222 -	    let fun chk (pres, pat) =
   1.223 -		    (let val subst: Type.tyenv * Envir.tenv = 
   1.224 -			     Pattern.match thy (pat, t)
   1.225 -					    (Vartab.empty, Vartab.empty)
   1.226 -		     in snd (eval__true thy (i+1) 
   1.227 -					(map (Envir.subst_term subst) pres)
   1.228 -					[] erls)
   1.229 -		     end)
   1.230 -		    handle _ => false
   1.231 -		fun scan_ f [] = false (*scan_ NEVER called by []*)
   1.232 -		  | scan_ f (pp::pps) = if f pp then true
   1.233 -					else scan_ f pps;
   1.234 -	    in scan_ chk prepat end;
   1.235 -
   1.236 -	(*.apply the normal_form of a rev-set.*)
   1.237 -	fun app_rev' thy (Rrls{erls,prepat,scr=Rfuns{normal_form,...},...}) t =
   1.238 -	    if chk_prepat thy erls prepat t
   1.239 -	    then ((*writeln("### app_rev': t = "^(term2str t));*)
   1.240 -                  normal_form t)
   1.241 -	    else NONE;
   1.242 -
   1.243 -	val opt = app_rev' thy rrls t
   1.244 -    in case opt of
   1.245 -	   SOME (t', asm) => (t', asm, true)
   1.246 -	 | NONE => app_sub thy i rrls t
   1.247 -    end
   1.248 -and app_sub thy i rrls t =
   1.249 -     ((*writeln("### app_sub: subterm = "^(term2str t));*)
   1.250 -      case t of
   1.251 -	Const (s, T) => (Const(s, T), [], false)
   1.252 -      | Free (s, T) => (Free(s, T), [], false)
   1.253 -      | Var (n, T) => (Var(n, T), [], false)
   1.254 -      | Bound i => (Bound i, [], false)
   1.255 -      | Abs (s, T, body) => 
   1.256 -	  let val (t', asm, rew) = app_rev thy i rrls body
   1.257 -	  in (Abs(s, T, t'), asm, rew) end
   1.258 -      | t1 $ t2 => 
   1.259 -	let val (t2', asm2, rew2) = app_rev thy i rrls t2
   1.260 -	in if rew2 then (t1 $ t2', asm2, true)
   1.261 -	   else let val (t1', asm1, rew1) = app_rev thy i rrls t1
   1.262 -		in if rew1 then (t1' $ t2, asm1, true)
   1.263 -		   else (t1 $ t2, [], false) end
   1.264 -	end);
   1.265 -
   1.266 -
   1.267 -
   1.268 -(*.rewriting without argument [] for rew_ord.*)
   1.269 -(*WN.11.6.03: shouldnt asm<>[] lead to false ????*)
   1.270 -fun eval_true thy terms rls = (snd o (eval__true thy 1 terms [])) rls;
   1.271 -
   1.272 -
   1.273 -(*.rewriting without internal argument [] for rew_ord.*)
   1.274 -(* val (thy, rew_ord, erls, bool, thm, term) =
   1.275 -       (thy, (assoc_rew_ord ro), rls', false, (assoc_thm' thy thm'), f);
   1.276 -   val (thy, rew_ord, erls, bool, thm, term) =
   1.277 -       (thy, rew_ord, erls, false, thm, t'');
   1.278 -   *)
   1.279 -fun rewrite_ thy rew_ord erls bool thm term = 
   1.280 -    rewrite__ thy 1 [] rew_ord erls bool thm term;
   1.281 -fun rewrite_set_ thy bool rls term =
   1.282 -(* val (thy, bool, rls, term) = (thy, false, srls, t);
   1.283 -   *)
   1.284 -    rewrite__set_ thy 1 bool [] rls term;
   1.285 -
   1.286 -
   1.287 -fun subs'2subst thy (s:subs') = 
   1.288 -    (((map (apfst (term_of o the o (parse thy)))) 
   1.289 -     o (map (apsnd (term_of o the o (parse thy))))) s):subst;
   1.290 -
   1.291 -(*.variants of rewrite.*)
   1.292 -(*FIXME 12.8.02: put_asm = true <==> rewrite_inst,
   1.293 -  thus the argument put_asm  IS NOT NECESSARY -- FIXME*)
   1.294 -(* val (rew_ord,rls,put_asm,thm,ct)=
   1.295 -       (e_rew_ord,poly_erls,false,num_str d1_isolate_add2,t);
   1.296 -   *)
   1.297 -fun rewrite_inst_ (thy:theory) rew_ord (rls:rls) (put_asm:bool) 
   1.298 -		  (subst:(term * term) list) (thm:thm) (ct:term) =
   1.299 -    rewrite__ thy 1 subst rew_ord rls put_asm thm ct;
   1.300 -
   1.301 -fun rewrite_set_inst_ (thy:theory) 
   1.302 -  (put_asm:bool) (subst:(term * term) list) (rls:rls) (ct:term) =
   1.303 -  (*let 
   1.304 -    val subst = subs'2subst thy subs';
   1.305 -    val subrls = instantiate_rls subs' rls
   1.306 -  in*) rewrite__set_ thy 1 put_asm subst (*sub*)rls ct
   1.307 -  (*end*);
   1.308 -
   1.309 -(* val (thy, ord, erls, subte, t) = (thy, dummy_ord, Erls, subte, t);
   1.310 -   *)
   1.311 -(*.rewrite using a list of terms.*)
   1.312 -fun rewrite_terms_ thy ord erls subte t =
   1.313 -    let (*val _=writeln("### rewrite_terms_ subte= '"^terms2str subte^"' ..."^
   1.314 -		      term_detail2str (hd subte)^
   1.315 -		      "### rewrite_terms_ t= '"^term2str t^"' ..."^
   1.316 -		      term_detail2str t);*)
   1.317 -	fun rew_ (t', asm') [] _ = (t', asm')
   1.318 -	  (* 1st val (t', asm', rules as r::rs, t) = (e_term, [], subte, t);
   1.319 -	     2nd val (t', asm', rules as r::rs, t) = (t'', [], rules, t'');
   1.320 -	     rew_ (t', asm') (r::rs) t;
   1.321 -	     *)
   1.322 -	  | rew_ (t', asm') (rules as r::rs) t =
   1.323 -	    let val _ = writeln("rew_ "^term2str t);
   1.324 -		val (t'', asm'', lrd, rew) = 
   1.325 -		    rew_sub thy 1 [] ord erls false [] r t
   1.326 -	    in if rew 
   1.327 -	       then (writeln("true  rew_ "^term2str t'');
   1.328 -		   rew_ (t'', asm' @ asm'') rules t'')
   1.329 -	       else (writeln("false rew_ "^term2str t'');
   1.330 -		   rew_ (t', asm') rs t')
   1.331 -	    end
   1.332 -	val (t'', asm'') = rew_ (e_term, []) subte t
   1.333 -    in if t'' = e_term 
   1.334 -       then NONE else SOME (t'', asm'')
   1.335 -    end;
   1.336 -
   1.337 -
   1.338 -(*. search ct for adjacent numerals and calculate them by operator isa_fn .*)
   1.339 -fun calculate_ thy isa_fn ct =
   1.340 -  let val ct = uminus_to_string ct
   1.341 -    in case get_calculation_ thy isa_fn ct of
   1.342 -	   NONE => NONE
   1.343 -	 | SOME (thmID, thm) => 
   1.344 -	   (let val SOME (rew,_) = rewrite_ thy dummy_ord e_rls false thm ct
   1.345 -    in SOME (rew,(thmID, thm)) end)
   1.346 -	   handle _ => error ("calculate_: "^thmID^" does not rewrite")
   1.347 -  end;
   1.348 -(*
   1.349 -> val thy = InsSort.thy;
   1.350 -> val op_ = "le";      (* < *)
   1.351 -> val ct = (the o (parse thy)) 
   1.352 -   "foldr ins [#2] (if #1 < #3 then #1 # ins [] #3 else [#3, #1])";
   1.353 -> calculate_ thy op_ ct;
   1.354 -  SOME
   1.355 -    ("foldr ins [#2] (if True then #1 # ins [] #3 else [#3, #1])",
   1.356 -     "(#1 < #3) = True") : (cterm * thm) option  *)
   1.357 -
   1.358 -
   1.359 -(* for test-printouts:
   1.360 -val _ = writeln("in rew_sub  : "^( Syntax.string_of_term (thy2ctxt thy) t))
   1.361 -val _ = writeln("in eval_true: prems= "^(commas (map (Syntax.string_of_term (thy2ctxt thy)) prems')))
   1.362 -*)
   1.363 -
   1.364 -
   1.365 -
   1.366 -
   1.367 -
   1.368 -
   1.369 -fun get_rls_scr rs' = ((#scr o rep_rls o #2 o the o assoc') (!ruleset',rs'))
   1.370 -  handle _ => raise error ("get_rls_scr: no script for "^rs');
   1.371 -
   1.372 -
   1.373 -(*make_thm added to Pure/thm.ML*)
   1.374 -fun mk_thm thy str = 
   1.375 -    let val t = (term_of o the o (parse thy)) str
   1.376 -	val t' = case t of
   1.377 -		     Const ("==>",_) $ _ $ _ => t
   1.378 -		   | _ => Trueprop $ t
   1.379 -    in make_thm (cterm_of thy t') end;
   1.380 -(*
   1.381 -  val str = "?r ^^^ 2 = ?r * ?r";
   1.382 -  val thm = realpow_twoI;
   1.383 -
   1.384 -  val t1 = (#prop o rep_thm) (num_str thm);
   1.385 -  val t2 = Trueprop $ ((term_of o the o (parse thy)) str);
   1.386 -  t1 = t2;
   1.387 -val it = true : bool      ... !!!
   1.388 -  val th1 = (num_str thm);
   1.389 -  val th2 = ((*num_str*) (mk_thm thy str)) handle e => print_exn e;
   1.390 -  th1 = th2;
   1.391 -ML> val it = false : bool ... HIDDEN DIFFERENCES IRRELEVANT FOR ISAC ?!
   1.392 -
   1.393 -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
   1.394 -  val str = "k ~= 0 ==> m * k / (n * k) = m / n";
   1.395 -  val thm = real_mult_div_cancel2;
   1.396 -
   1.397 -  val t1 = (#prop o rep_thm) (num_str thm);
   1.398 -  val t2 = ((term_of o the o (parse thy)) str);
   1.399 -  t1 = t2;
   1.400 -val it = false : bool     ... Var .. Free
   1.401 -  val th1 = (num_str thm);
   1.402 -  val th2 = ((*num_str*) (mk_thm thy str)) handle e => print_exn e;
   1.403 -  th1 = th2;
   1.404 -ML> val it = false : bool ... PLUS HIDDEN DIFFERENCES IRRELEVANT FOR ISAC ?!
   1.405 -*)
   1.406 -
   1.407 -
   1.408 -(*prints subgoal etc. 
   1.409 -((goal thy);(topthm()) o ) str;                      *)
   1.410 -(*assume rejects scheme variables 
   1.411 -  assume ((cterm_of thy) (Trueprop $ 
   1.412 -		(term_of o the o (parse thy)) str)); *)
   1.413 -
   1.414 -
   1.415 -(* outcommented 18.11.xx, xx < 02 -------
   1.416 -fun rul2rul' (Thm (thmid, thm)) = Thm'(thmid, string_of_thmI thm)
   1.417 -  | rul2rul' (Calc op_)         = Calc' op_;
   1.418 -fun rul'2rul thy (Thm'(thmid, ct')) = 
   1.419 -       Thm (thmid, mk_thm thy ct')
   1.420 -  | rul'2rul thy' (Calc' op_)        = Calc op_;
   1.421 -
   1.422 -
   1.423 -fun rls2rls' (Rls{preconds=preconds,rew_ord=rew_ord,rules=rules}:rls) =
   1.424 -  Rls'{preconds'= map string_of_cterm preconds,
   1.425 -       rew_ord' = fst rew_ord,
   1.426 -       rules'   = map rul2rul' rules}:rlsdat';
   1.427 -
   1.428 -fun rls'2rls thy' (Rls'{preconds'=preconds,rew_ord'=rew_ord,
   1.429 -		   rules'=rules}:rlsdat') =
   1.430 -  let val thy = the (assoc' (theory',thy'))
   1.431 -  in Rls{preconds = map (the o (parse thy)) preconds,
   1.432 -	 rew_ord  = (rew_ord, the (assoc'(rew_ord',rew_ord))),
   1.433 -	 rules    = map (rul'2rul thy) rules}:rls end;
   1.434 -------- *)
   1.435 -
   1.436 -(*.get the theorem associated with the xstring-identifier;
   1.437 -   if the identifier starts with "sym_" then swap lhs = rhs around =
   1.438 -   (ATTENTION: "RS sym" attaches a [.] -- remove it with string_of_thmI);
   1.439 -   identifiers starting with "#" come from Calc and
   1.440 -   get a hand-made theorem (containing numerals only).*)
   1.441 -fun assoc_thm' (thy:theory) ((thmid, ct'):thm') =
   1.442 -    (case explode thmid of
   1.443 -	"s"::"y"::"m"::"_"::id => 
   1.444 -	if hd id = "#" 
   1.445 -	then mk_thm thy ct'
   1.446 -	else ((num_str o (PureThy.get_thm thy)) (implode id)) RS sym
   1.447 -      | id => 
   1.448 -	if hd id = "#" 
   1.449 -	then mk_thm thy ct'
   1.450 -	else (num_str o (PureThy.get_thm thy)) thmid
   1.451 -	     ) handle _ => 
   1.452 -		      raise error ("assoc_thm': '"^thmid^"' not in '"^
   1.453 -				   (theory2domID thy)^"' (and parents)");
   1.454 -(*> assoc_thm' Isac.thy ("sym_#mult_2_3","6 = 2 * 3");
   1.455 -val it = "6 = 2 * 3" : thm          
   1.456 -
   1.457 -> assoc_thm' Isac.thy ("real_add_zero_left","");
   1.458 -val it = "0 + ?z = ?z" : thm
   1.459 -
   1.460 -> assoc_thm' Isac.thy ("sym_real_add_zero_left","");
   1.461 -val it = "?t = 0 + ?t"  [.] : thm
   1.462 -
   1.463 -> assoc_thm' HOL.thy ("sym_real_add_zero_left","");
   1.464 -*** Unknown theorem(s) "real_add_zero_left"
   1.465 -*** assoc_thm': 'sym_real_add_zero_left' not in 'HOL.thy' (and parents)
   1.466 - uncaught exception ERROR*)
   1.467 -
   1.468 -
   1.469 -fun parse' (thy:theory') (ct:cterm') =
   1.470 -    case parse ((the o assoc')(!theory',thy)) ct of
   1.471 -	NONE => NONE
   1.472 -      | SOME ct => SOME ((term2str (term_of ct)):cterm');
   1.473 -
   1.474 -
   1.475 -(*FIXME 12.8.02: put_asm = true <==> rewrite_inst, rewrite_set_inst
   1.476 -  thus the argument put_asm  IS NOT NECESSARY -- FIXME        ~~~~~*)
   1.477 -fun rewrite (thy':theory') (rew_ord:rew_ord') (rls:rls') 
   1.478 -    (put_asm:bool) (thm:thm') (ct:cterm') =
   1.479 -(* val (rew_ord, rls, thm, ct) = (rew_ord', id_rls rls', thm', f);
   1.480 -   *)
   1.481 -    let val thy = (the o assoc')(!theory',thy');
   1.482 -    in
   1.483 -    case rewrite_ thy
   1.484 -	((the o assoc')(!rew_ord',rew_ord))((#2 o the o assoc')(!ruleset',rls))
   1.485 -	put_asm ((assoc_thm' thy) thm)
   1.486 -	((term_of o the o (parse thy)) ct) of
   1.487 -	NONE => NONE
   1.488 -      | SOME (t, ts) => SOME (term2str t, terms2str ts)
   1.489 -    end;
   1.490 -
   1.491 -(*
   1.492 -val thy     = "RatArith.thy";
   1.493 -val rew_ord = "dummy_ord"; 
   1.494 -> val rls     = "eval_rls";
   1.495 -val put_asm = true; 
   1.496 -val thm     = ("square_equation_left","");
   1.497 -val ct      = "sqrt(#9+#4*x)=sqrt x + sqrt(#-3+x)";
   1.498 -
   1.499 -val Zthy     = ((the o assoc')(!theory',thy));
   1.500 -val Zrew_ord = ((the o assoc')(!rew_ord',rew_ord)); 
   1.501 -val Zrls     = ((the o assoc')(!ruleset',rls));
   1.502 -val Zput_asm = put_asm; 
   1.503 -val Zthm     = ((the o (assoc'_thm' thy)) thm);
   1.504 -val Zct      = ((the o (parse ((the o assoc')(!theory',thy)))) ct);
   1.505 -
   1.506 -rewrite_ Zthy Zrew_ord Zrls Zput_asm Zthm Zct;
   1.507 -
   1.508 - use"Isa99/interface_ME_ISA.sml";
   1.509 -*)
   1.510 -
   1.511 -(*FIXME 12.8.02: put_asm = true <==> rewrite_inst, rewrite_set_inst
   1.512 -  thus the argument put_asm  IS NOT NECESSARY -- FIXME        ~~~~~*)
   1.513 -fun rewrite_set (thy':theory') (put_asm:bool)
   1.514 -    (rls:rls') (ct:cterm') =
   1.515 -    let val thy = (the o assoc')(!theory',thy');
   1.516 -    in
   1.517 -    case rewrite_set_ thy put_asm ((#2 o the o assoc')(!ruleset',rls))
   1.518 -    ((term_of o the o (parse thy)) ct) of
   1.519 -	NONE => NONE
   1.520 -      | SOME (t, ts) => SOME (term2str t, terms2str ts)
   1.521 -    end;
   1.522 -
   1.523 -(*evaluate list-expressions
   1.524 -  should work on term, and stand in Isa99/rewrite-parse.sml, 
   1.525 -  but there list_rls <- eval_binop is not yet defined*)
   1.526 -(*fun eval_listexpr' ct = 
   1.527 -    let val rew = rewrite_set "ListG.thy" false "list_rls" ct;
   1.528 -    in case rew of 
   1.529 -	   SOME (res,_) => res
   1.530 -	 | NONE => ct end;-----------------30.9.02---*)
   1.531 -fun eval_listexpr_ thy srls t =
   1.532 -(* val (thy,            srls, t) = 
   1.533 -       ((assoc_thy th), sr,  (subst_atomic (upd_env_opt E (a,v)) t));
   1.534 -   *) 
   1.535 -    let val rew = rewrite_set_ thy false srls t;
   1.536 -    in case rew of 
   1.537 -	   SOME (res,_) => res
   1.538 -	 | NONE => t end;
   1.539 -
   1.540 -
   1.541 -fun get_calculation' (thy:theory') op_ (ct:cterm') =
   1.542 -   case get_calculation_ ((the o assoc')(!theory',thy)) op_
   1.543 -    ((uminus_to_string o term_of o the o 
   1.544 -      (parse ((the o assoc')(!theory',thy)))) ct) of
   1.545 -	NONE => NONE
   1.546 -      | SOME (thmid, thm) => 
   1.547 -	    SOME ((thmid, string_of_thmI thm):thm');
   1.548 -
   1.549 -fun calculate (thy':theory') op_ (ct:cterm') =
   1.550 -    let val thy = (the o assoc')(!theory',thy');
   1.551 -    in
   1.552 -	case calculate_ thy op_
   1.553 -			((term_of o the o (parse thy)) ct) of
   1.554 -	    NONE => NONE
   1.555 -	  | SOME (ct,(thmID,thm)) => 
   1.556 -	    SOME (term2str ct, 
   1.557 -		  (thmID, string_of_thmI thm):thm')
   1.558 -    end;
   1.559 -(*
   1.560 -fun instantiate'' thy' subs ((thmid,ct'):thm') = 
   1.561 -  let val thmid_ = implode ("#"::(explode thmid))  (*see type thm'*)
   1.562 -  in (thmid_, (string_of_thmI o (read_instantiate subs)) 
   1.563 -      ((the o (assoc_thm' thy')) (thmid_,ct'))):thm' end;
   1.564 -
   1.565 -fun instantiate_rls' thy' subs (rls:rls') = 
   1.566 -    rls2rls' (instantiate_rls subs ((the o (assoc_rls thy')) rls)):rlsdat';
   1.567 -
   1.568 -... problem with these functions: 
   1.569 -> val thm = mk_thm thy "(bdv + a = b) = (bdv = b - a)";
   1.570 -val thm = "(bdv + a = b) = (bdv = b - a)" : thm
   1.571 -> show_types:=true; thm;    
   1.572 -val it = "((bdv::'a) + (a::'a) = (b::'a)) = (bdv = b - a)" : thm
   1.573 -... and this doesn't match because of too general typing (?!)
   1.574 -    and read_insitantiate doesn't instantiate the types (?!)
   1.575 -=== solutions:
   1.576 -(1) hard-coded type-instantiation ("'a", "RatArith.rat")
   1.577 -(2) instantiate', instantiate ... no help by isabelle-users@ !!!
   1.578 -=== conclusion:
   1.579 -    rewrite_inst, rewrite_set_inst circumvent the problem,
   1.580 -    according functions out-commented with 'instantiate''
   1.581 -*)
   1.582 -
   1.583 -(* instantiate''
   1.584 -fun instantiate'' thy' subs ((thmid,ct'):thm') = 
   1.585 -  let 
   1.586 -    val thmid_ = implode ("#"::(explode thmid));  (*see type thm'*)
   1.587 -    val thy = (the o assoc')(!theory',thy');
   1.588 -    val typs = map (#T o rep_cterm o the o (parse thy)) 
   1.589 -      ((snd o split_list) subs);
   1.590 -    val ctyps = map 
   1.591 -      ((ctyp_of (sign_of thy)) o #T o rep_cterm o the o (parse thy)) 
   1.592 -      ((snd o split_list) subs);
   1.593 -
   1.594 -> val thy' = "RatArith.thy";
   1.595 -> val subs = [("bdv","x::rat"),("zzz","z::nat")];
   1.596 -> (the o (parse ((the o assoc')(!theory',thy')))) "x::rat";
   1.597 -> (#T o rep_cterm o the o (parse ((the o assoc')(!theory',thy'))));
   1.598 -
   1.599 -> val ctyp = ((ctyp_of (sign_of thy)) o #T o rep_cterm o the o 
   1.600 -	      (parse ((the o assoc')(!theory',thy')))) "x::rat";
   1.601 -> val bdv = (the o (parse thy)) "bdv";
   1.602 -> val x   = (the o (parse thy)) "x";
   1.603 -> (instantiate ([(("'a",0),ctyp)],[(bdv,x)]) isolate_bdv_add)
   1.604 -      handle e => print_exn e;
   1.605 -uncaught exception THM
   1.606 -  raised at: thm.ML:1085.18-1085.69
   1.607 -             thm.ML:1092.34
   1.608 -             goals.ML:536.61
   1.609 -
   1.610 -> val bdv = (the o (parse thy)) "bdv::nat";
   1.611 -> val x   = (the o (parse thy)) "x::nat";
   1.612 -> (instantiate ([(("'a",0),ctyp)],[(bdv,x)]) isolate_bdv_add)
   1.613 -      handle e => print_exn e;
   1.614 -uncaught exception THM
   1.615 -  raised at: thm.ML:1085.18-1085.69
   1.616 -             thm.ML:1092.34
   1.617 -             goals.ML:536.61
   1.618 -
   1.619 -> (instantiate' [SOME ctyp] [] isolate_bdv_add)
   1.620 -      handle e => print_exn e;      
   1.621 -uncaught exception TYPE
   1.622 -  raised at: drule.ML:613.13-615.44
   1.623 -             goals.ML:536.61
   1.624 -
   1.625 -> val repct = (rep_cterm o the o (parse ((the o assoc')(!theory',thy')))) "x::rat";
   1.626 -*)
   1.627 -
   1.628 -(*FIXME 12.8.02: put_asm = true <==> rewrite_inst, rewrite_set_inst
   1.629 -  thus the argument put_asm  IS NOT NECESSARY -- FIXME        ~~~~~*)
   1.630 -fun rewrite_inst (thy':theory') (rew_ord:rew_ord') (rls:rls') 
   1.631 -  (put_asm:bool) subs (thm:thm') (ct:cterm') =
   1.632 -  let
   1.633 -    val thy = (the o assoc')(!theory',thy');
   1.634 -    val thm = assoc_thm' thy thm; (*28.10.02*)
   1.635 -    (*val subthm = read_instantiate subs ((assoc_thm' thy) thm)*)
   1.636 -  in
   1.637 -    case rewrite_ thy
   1.638 -      ((the o assoc')(!rew_ord',rew_ord)) ((#2 o the o assoc')(!ruleset',rls))
   1.639 -      put_asm (*sub*)thm ((term_of o the o (parse thy)) ct) of
   1.640 -      NONE => NONE
   1.641 -    | SOME (ctm, ctms) => 
   1.642 -      SOME ((term2str ctm):cterm', (map term2str ctms):cterm' list)
   1.643 -  end;
   1.644 -
   1.645 -(*FIXME 12.8.02: put_asm = true <==> rewrite_inst, rewrite_set_inst
   1.646 -  thus the argument put_asm  IS NOT NECESSARY -- FIXME        ~~~~~*)
   1.647 -fun rewrite_set_inst (thy':theory') (put_asm:bool)
   1.648 -  subs' (rls:rls') (ct:cterm') =
   1.649 -  let
   1.650 -    val thy = (the o assoc')(!theory',thy');
   1.651 -    val rls = assoc_rls rls
   1.652 -    val subst = subs'2subst thy subs'
   1.653 -    (*val subrls = instantiate_rls subs ((the o assoc')(!ruleset',rls))*)
   1.654 -  in case rewrite_set_inst_ thy put_asm subst (*sub*)rls
   1.655 -			    ((term_of o the o (parse thy)) ct) of
   1.656 -	 NONE => NONE
   1.657 -       | SOME (t, ts) => SOME (term2str t, terms2str ts)
   1.658 -  end;
   1.659 -
   1.660 -
   1.661 -(*vor check_elementwise: SqRoot_eval_rls .. wie *_simplify ?! TODO *)
   1.662 -fun eval_true' (thy':theory') (rls':rls') (Const ("True",_)) = true
   1.663 -
   1.664 -  | eval_true' (thy':theory') (rls':rls') (t:term) =
   1.665 -(* val thy'="Isac.thy"; val rls'="eval_rls"; val t=hd pres';
   1.666 -   *)
   1.667 -    let val ct' = term2str t;
   1.668 -    in case rewrite_set thy' false rls' ct' of
   1.669 -	   SOME ("True",_) => true
   1.670 -	 | _ => false 
   1.671 -    end;
   1.672 -fun eval_true_ _ _ (Const ("True",_)) = true
   1.673 -  | eval_true_ (thy':theory') rls t =
   1.674 -    case rewrite_set_ (assoc_thy thy') false rls t of
   1.675 -	   SOME (Const ("True",_),_) => true
   1.676 -	 | _ => false;
   1.677 -
   1.678 -(*
   1.679 -val test_rls = 
   1.680 -  Rls{preconds = [], rew_ord = ("sqrt_right",sqrt_right), 
   1.681 -      rules = [Calc ("matches",eval_matches "")
   1.682 -	       ],
   1.683 -      scr = Script ((term_of o the o (parse thy)) 
   1.684 -      "empty_script")
   1.685 -      }:rls;      
   1.686 -
   1.687 -
   1.688 -
   1.689 -  rewrite_set_ Isac.thy eval_rls false test_rls 
   1.690 -        ((the o (parse thy)) "matches (?a = ?b) (x = #0)");
   1.691 -  val xxx = (term_of o the o (parse thy)) 
   1.692 -	       "matches (?a = ?b) (x = #0)";
   1.693 -  eval_matches """" xxx thy;
   1.694 -SOME ("matches (?a = ?b) (x + #1 + #-1 * #2 = #0) = True",
   1.695 -     Const ("Trueprop","bool => prop") $ (Const # $ (# $ #) $ Const (#,#)))
   1.696 -
   1.697 -
   1.698 -
   1.699 -  rewrite_set_ Isac.thy eval_rls false eval_rls 
   1.700 -        ((the o (parse thy)) "contains_root (sqrt #0)");
   1.701 -val it = SOME ("True",[]) : (cterm * cterm list) option
   1.702 -    
   1.703 -*)
   1.704 -
   1.705 -
   1.706 -(*----------WN:16.5.03 stuff below considered illdesigned, thus coded from scratch in appl.sml fun check_elementwise
   1.707 -datatype det = TRUE  | FALSE | INDET;(*FIXXME.WN:16.5.03
   1.708 -				     introduced with quick-and-dirty code*)
   1.709 -fun determine dts =
   1.710 -    let val false_indet = 
   1.711 -	    filter_out ((curry op= TRUE) o (#1:det * term -> det)) dts
   1.712 -        val ts = map (#2: det * term -> term) dts
   1.713 -    in if nil = false_indet then (TRUE, ts)
   1.714 -       else if nil = filter ((curry op= FALSE) o (#1:det * term -> det))
   1.715 -			    false_indet
   1.716 -       then (INDET, ts)
   1.717 -       else (FALSE, ts) end;
   1.718 -(* val dts = [(INDET,e_term), (FALSE,HOLogic.false_const), 
   1.719 -	      (INDET,e_term), (TRUE,HOLogic.true_const)];
   1.720 -  determine dts;
   1.721 -val it =
   1.722 -  (FALSE,
   1.723 -   [Const ("empty","'a"),Const ("False","bool"),Const ("empty","'a"),
   1.724 -    Const ("True","bool")]) : det * term list*)
   1.725 -
   1.726 -fun eval__indet_ thy cs rls = (*FIXXME.WN:16.5.03 pull into eval__true_, update check (check_elementwise), and regard eval_true_ + eval_true*)
   1.727 -if cs = [HOLogic.true_const] orelse cs = [] then (TRUE, [])
   1.728 -    else if cs = [HOLogic.false_const] then (FALSE, cs)
   1.729 -    else
   1.730 -	let fun eval t = 
   1.731 -		let val taopt = rewrite__set_ thy 1 false [] rls t
   1.732 -		in case taopt of
   1.733 -		       SOME (t,_) =>
   1.734 -		       if t = HOLogic.true_const then (TRUE, t)
   1.735 -		       else if t = HOLogic.false_const then (FALSE, t)
   1.736 -		       else (INDET, t)
   1.737 -		     | NONE => (INDET, t) end
   1.738 -	in (determine o (map eval)) cs end;
   1.739 -WN.16.5.0-------------------------------------------------------------*)