src/Tools/isac/Interpret/generate.sml
author Walther Neuper <wneuper@ist.tugraz.at>
Wed, 24 Jul 2019 10:35:19 +0200
changeset 59571 57ebc51625f2
parent 59562 d50fe358f04a
child 59572 f860c09e856b
permissions -rw-r--r--
lucin: improve type-identifiers for signatures
     1 (* Title: generate specific entries into Ctree
     2    Author: Walther Neuper
     3    (c) due to copyright terms
     4 *)
     5 
     6 signature GENERATE_CALC_TREE =
     7 sig
     8   (* vvv request into signature is incremental with *.sml *)
     9   (* for calchead.sml ---------------------------------------------------------------  vvv *)
    10   type taci
    11   val e_taci : taci
    12   datatype pblmet = Method of Celem.metID | Problem of Celem.pblID | Upblmet
    13   datatype mout =
    14     EmptyMout
    15   | Error' of string
    16   | FormKF of Rule.cterm'
    17   | PpcKF of pblmet * Model.item Model.ppc
    18   | RefinedKF of Celem.pblID * (Model.itm list * (bool * term) list)
    19   val generate1 : theory -> Tactic.T -> Selem.istate * Proof.context ->
    20     Ctree.pos' -> Ctree.ctree -> Ctree.pos' * Ctree.pos' list * mout * Ctree.ctree (* for calchead.sml------------- ^^^ *)
    21   val init_istate : Tactic.input -> term -> Selem.istate
    22   val init_pbl : (string * (term * 'a)) list -> Model.itm list
    23   val init_pbl' : (string * (term * term)) list -> Model.itm list
    24   val embed_deriv : taci list -> Ctree.state -> Ctree.pos' list * (Ctree.state) (* for inform.sml *)
    25   val generate_hard : (* for solve.sml *)
    26     theory -> Tactic.T -> Ctree.pos' -> Ctree.ctree -> Ctree.pos' * Ctree.pos' list * mout * Ctree.ctree
    27   val generate : (Tactic.input * Tactic.T * (Ctree.pos' * (Selem.istate * Proof.context))) list ->
    28     Ctree.ctree * Ctree.pos' list * Ctree.pos' -> Ctree.ctree * Ctree.pos' list * Ctree.pos' (* for mathengine.sml *)
    29   val generate_inconsistent_rew : Selem.subs option * Celem.thm'' -> term -> Selem.istate * Proof.context ->
    30     Ctree.pos' -> Ctree.ctree -> Ctree.state (* for interface.sml *)
    31 (* ---- for tests only: shifted from below to remove the Warning "unused" at fun.def. --------- *)
    32   val tacis2str : taci list -> string
    33 (*/-------------------------------------------------------- ! aktivate for Test_Isac BEGIN ---\* )
    34   (*  NONE *)
    35 ( *\--- ! aktivate for Test_Isac END ----------------------------------------------------------/*)
    36 
    37 (*----- unused code, kept as hints to design ideas ---------------------------------------------*)
    38   (* NONE *)
    39 end
    40 
    41 structure Generate(**): GENERATE_CALC_TREE(**) =
    42 struct
    43 open Ctree
    44 
    45 (* initialize istate for Detail_Set *)
    46 fun init_istate (Tactic.Rewrite_Set rls) t =
    47     (case assoc_rls rls of
    48       Rule.Rrls {scr = Rule.Rfuns {init_state = ii, ...}, ...} => Selem.RrlsState (ii t)
    49     | Rule.Rls {scr = Rule.EmptyScr, ...} => 
    50       error ("interSteps>..>init_istate: \"" ^ rls ^ "\" has EmptyScr." ^
    51         "use prep_rls' for storing rule-sets !")
    52     | Rule.Rls {scr = Rule.Prog s, ...} =>
    53       (Selem.ScrState ([(hd (LTool.formal_args s), t)], [], NONE, Rule.e_term, Selem.Sundef, true))
    54     | Rule.Seq {scr = Rule.EmptyScr,...} => 
    55       error ("interSteps>..>init_istate: \"" ^ rls ^ "\" has EmptyScr." ^
    56 		    " Use prep_rls' for storing rule-sets !")
    57     | Rule.Seq {scr = Rule.Prog s,...} =>
    58 (writeln ("### init_istate: rls = \"" ^ "rls" ^ "\", Prog = \"" ^ Rule.term2str s ^ "\"");
    59       (Selem.ScrState ([(hd (LTool.formal_args s), t)], [], NONE, Rule.e_term, Selem.Sundef, true))
    60 )
    61     | _ => error "init_istate Rewrite_Set: uncovered case assoc_rls")
    62   | init_istate (Tactic.Rewrite_Set_Inst (subs, rls)) t =
    63     let
    64       val v = case Selem.subs2subst (Celem.assoc_thy "Isac") subs of
    65         (_, v) :: _ => v
    66       | _ => error "init_istate: uncovered case "
    67     (*...we suppose the substitution of only _one_ bound variable*)
    68     in case assoc_rls rls of
    69       Rule.Rls {scr = Rule.EmptyScr, ...} => 
    70         error ("interSteps>..>init_istate: \""^rls^"\" has EmptyScr." ^
    71           "use prep_rls' for storing rule-sets !")
    72 	  | Rule.Rls {scr = Rule.Prog s, ...} =>
    73 	    let val env = (LTool.formal_args s) ~~ [t, v]
    74 	    in (Selem.ScrState (env, [], NONE, Rule.e_term, Selem.Sundef,true))
    75 	    end
    76 	  | Rule.Seq {scr = Rule.EmptyScr, ...} => 
    77 	    error ("interSteps>..>init_istate: \""^rls^"\" has EmptyScr." ^
    78 	      "use prep_rls' for storing rule-sets !")
    79 	  | Rule.Seq {scr = Rule.Prog s,...} =>
    80 	    let val env = (LTool.formal_args s) ~~ [t, v]
    81 	    in (Selem.ScrState (env,[], NONE, Rule.e_term, Selem.Sundef,true))
    82 	    end
    83     | _ => error "init_istate Rewrite_Set_Inst: uncovered case assoc_rls"
    84     end
    85   | init_istate tac _ = error ("init_istate: uncovered definition for " ^ Tactic.tac2str tac)
    86 
    87 (* a taci holds alle information required to build a node in the calc-tree;
    88    a taci is assumed to be used efficiently such that the calc-tree
    89    resulting from applying a taci need not be stored separately;
    90    see "type calcstate" *)
    91 (*TODO.WN0504 redesign ??? or redesign generate ?? see "fun generate"
    92   TODO.WN0512 ? redesign this _list_:
    93   # only used for [Apply_Method + (Take or Subproblem)], i.e. for initacs
    94   # the latter problem may be resolved automatically if "fun autocalc" is 
    95     not any more used for the specify-phase and for changing the phases*)
    96 type taci = 
    97   (Tactic.input *                          (* for comparison with input tac             *)      
    98    Tactic.T *                         (* for ctree generation                      *)
    99    (pos' *                            (* after applying tac_, for ctree generation *)
   100     (Selem.istate * Proof.context)))  (* after applying tac_, for ctree generation *)
   101 val e_taci = (Tactic.Empty_Tac, Tactic.Empty_Tac_, (e_pos', (Selem.e_istate, Selem.e_ctxt))): taci
   102 fun taci2str ((tac, tac_, (pos', (istate, _))):taci) =
   103   "( " ^ Tactic.tac2str tac ^ ", " ^ Tactic.tac_2str tac_ ^ ", ( " ^ pos'2str pos' ^ ", " ^
   104   Selem.istate2str istate ^ " ))"
   105 fun tacis2str tacis = (strs2str o (map (Celem.linefeed o taci2str))) tacis
   106 
   107 datatype pblmet =           (*%^%*)
   108   Upblmet                   (*undefined*)
   109 | Problem of Celem.pblID    (*%^%*)
   110 | Method of Celem.metID;    (*%^%*)
   111 fun pblmet2str (Problem pblID) = "Problem " ^ strs2str pblID (*%^%*)
   112   | pblmet2str (Method metID) = "Method " ^ Celem.metID2str metID (*%^%*)
   113   | pblmet2str x = error ("pblmet2str: uncovered definition " ^ pblmet2str x)
   114 
   115 (*3.5.00: TODO: foppFK eliminated in interface FE-KE !!!*)
   116 datatype foppFK =                  (* in DG cases div 2 *)
   117   EmptyFoppFK         (*DG internal*)
   118 | FormFK of Rule.cterm'
   119 | PpcFK of Rule.cterm' Model.ppc
   120 fun foppFK2str (FormFK ct') ="FormFK " ^ ct'
   121   | foppFK2str (PpcFK  ppc) ="PpcFK " ^ Model.ppc2str ppc
   122   | foppFK2str EmptyFoppFK  ="EmptyFoppFK"
   123 
   124 datatype nest = Open | Closed | Nundef;
   125 fun nest2str Open = "Open"
   126   | nest2str Closed = "Closed"
   127   | nest2str Nundef = "Nundef"
   128 
   129 type indent = int;
   130 datatype edit = EdUndef | Write | Protect;
   131                                    (* bridge --> kernel *)
   132                                    (* bridge <-> kernel *)
   133 (* needed in dialog.sml *)         (* bridge <-- kernel *)
   134 fun edit2str EdUndef = "EdUndef"
   135   | edit2str Write = "Write"
   136   | edit2str Protect = "Protect";
   137 
   138 datatype inout = (*FIXME.WN1105 drop this: was required for proto0 with dialog in sml*)
   139   Error_ of string                                                         (*<--*)
   140 | FormKF of cellID * edit * indent * nest * Rule.cterm'                   (*<--*)
   141 | PpcKF of cellID * edit * indent * nest * (pblmet * Model.item Model.ppc) (*<--*)
   142 | RefineKF of Stool.match list                                             (*<--*)
   143 | RefinedKF of (Celem.pblID * ((Model.itm list) * ((bool * term) list)))   (*<--*)
   144 
   145 (*
   146   datatype mout = EmptyMout | Error' of inout | Form' of inout | Problems of inout
   147 *)
   148 datatype mout =
   149   FormKF of Rule.cterm'
   150 | PpcKF of (pblmet * Model.item Model.ppc) 
   151 | RefinedKF of Celem.pblID * (Model.itm list * (bool * term) list)
   152 | Error' of string
   153 | EmptyMout
   154 
   155 fun mout2str (FormKF cterm') = "FormKF " ^ cterm'
   156   | mout2str (PpcKF  (pm, itemppc)) = "PpcKF (" ^ pblmet2str pm ^ "," ^ Model.itemppc2str itemppc ^ ")"
   157   | mout2str (RefinedKF  (_, _)) = "mout2str: RefinedKF not impl."
   158   | mout2str (Error'  str) = "Error' " ^ str
   159   | mout2str (EmptyMout    ) = "EmptyMout"
   160 
   161 (* init pbl with ...,dsc,empty | [] *)
   162 fun init_pbl pbt = 
   163   let
   164     fun pbt2itm (f, (d, _)) = (0, [], false, f, Model.Inc ((d, []), (Rule.e_term, [])))
   165   in map pbt2itm pbt end
   166 
   167 (* take formal parameters from pbt, for transfer from pbl/met-hierarchy *)
   168 fun init_pbl' pbt = 
   169   let 
   170     fun pbt2itm (f, (d, t)) = (0, [], false, f, Model.Inc((d, [t]), (Rule.e_term, [])))
   171   in map pbt2itm pbt end
   172 
   173 (*generate 1 ppobj in ctree*)
   174 (*TODO.WN0501: take calcstate as an argument (see embed_derive etc.)?specify?*)
   175 fun generate1 thy (Tactic.Add_Given' (_, itmlist)) _ (pos as (p, p_)) pt = 
   176     (pos: pos', [], PpcKF (Upblmet, Specify.itms2itemppc thy [][]),
   177        case p_ of
   178          Pbl => update_pbl pt p itmlist
   179 	     | Met => update_met pt p itmlist
   180        | _ => error ("uncovered case " ^ pos_2str p_))
   181     (* WN110515 probably declare_constraints with input item (without dsc) --
   182       -- important when specifying without formalisation *)
   183   | generate1 thy (Tactic.Add_Find' (_, itmlist)) _ (pos as (p, p_)) pt = 
   184     (pos, [], (PpcKF (Upblmet, Specify.itms2itemppc thy [] [])),
   185        case p_ of
   186          Pbl => update_pbl pt p itmlist
   187 	     | Met => update_met pt p itmlist
   188        | _ => error ("uncovered case " ^ pos_2str p_))
   189     (*WN110515 probably declare_constraints with input item (without dsc)*)
   190   | generate1 thy (Tactic.Add_Relation' (_, itmlist)) _ (pos as (p, p_)) pt = 
   191     (pos, [],  PpcKF (Upblmet, Specify.itms2itemppc thy [] []),
   192        case p_ of
   193          Pbl => update_pbl pt p itmlist
   194 	     | Met => update_met pt p itmlist
   195        | _ => error ("uncovered case " ^ pos_2str p_))
   196   | generate1 thy (Tactic.Specify_Theory' domID) _ (pos as (p,_)) pt = 
   197     (pos, [] , PpcKF  (Upblmet, Specify.itms2itemppc thy [] []),
   198       update_domID pt p domID)
   199   | generate1 thy (Tactic.Specify_Problem' (pI, (_, (itms, _)))) _ (p, _) pt = 
   200     let
   201       val pt = update_pbl pt p itms
   202       val pt = update_pblID pt p pI
   203     in
   204       ((p, Pbl), [], PpcKF (Upblmet, Specify.itms2itemppc thy [] []), pt)
   205     end
   206   | generate1 thy (Tactic.Specify_Method' (mID, oris, itms)) _ (p, _) pt = 
   207     let
   208       val pt = update_oris pt p oris
   209       val pt = update_met pt p itms
   210       val pt = update_metID pt p mID
   211     in
   212       ((p, Met), [], PpcKF (Upblmet, Specify.itms2itemppc thy [] []), pt)
   213     end
   214   | generate1 thy (Tactic.Model_Problem' (_, itms, met)) _ (pos as (p,_)) pt =
   215     let 
   216       val pt = update_pbl pt p itms
   217 	    val pt = update_met pt p met
   218     in
   219       (pos, [], PpcKF (Upblmet, Specify.itms2itemppc thy [] []), pt)
   220     end
   221   | generate1 thy (Tactic.Refine_Tacitly' (_, pIre, domID, metID, pbl)) _ (pos as (p, _)) pt = 
   222     let
   223       val pt = update_pbl pt p pbl
   224       val pt = update_orispec pt p (domID, pIre, metID)
   225     in
   226       (pos, [], PpcKF (Upblmet, Specify.itms2itemppc thy [] []), pt)
   227     end
   228   | generate1 thy (Tactic.Refine_Problem' (pI, _)) _ (pos as (p, _)) pt =
   229     let
   230       val (dI, _, mI) = get_obj g_spec pt p
   231       val pt = update_spec pt p (dI, pI, mI)
   232     in
   233       (pos, [], PpcKF (Upblmet, Specify.itms2itemppc thy [] []), pt)
   234     end
   235   | generate1 _ (Tactic.Apply_Method' (_, topt, is, ctxt)) _ (pos as (p, _)) pt = 
   236     (case topt of 
   237       SOME t => 
   238         let val (pt, c) = cappend_form pt p (is, ctxt) t
   239         in (pos, c, EmptyMout, pt) end
   240     | NONE => (pos, [], EmptyMout, update_env pt p (SOME (is, ctxt))))
   241   | generate1 _ (Tactic.Take' t) l (p, _) pt = (* val (Take' t) = m; *)
   242     let
   243       val p =
   244         let val (ps, p') = split_last p (* no connex to prev.ppobj *)
   245 	      in if p' = 0 then ps @ [1] else p end
   246       val (pt, c) = cappend_form pt p l t
   247     in
   248       ((p, Frm): pos', c, FormKF (Rule.term2str t), pt)
   249     end
   250   | generate1 _ (Tactic.Begin_Trans' t) l (p, Frm) pt =
   251     let
   252       val (pt, c) = cappend_form pt p l t
   253       val pt = update_branch pt p TransitiveB (*040312*)
   254       (* replace the old PrfOjb ~~~~~ *)
   255       val p = (lev_on o lev_dn (* starts with [...,0] *)) p
   256       val (pt, c') = cappend_form pt p l t (*FIXME.0402 same istate ???*)
   257     in
   258       ((p, Frm), c @ c', FormKF (Rule.term2str t), pt)
   259     end
   260   | generate1 thy (Tactic.Begin_Trans' t) l (p, Res) pt = 
   261     (*append after existing PrfObj    vvvvvvvvvvvvv*)
   262     generate1 thy (Tactic.Begin_Trans' t) l (lev_on p, Frm) pt
   263   | generate1 _ (Tactic.End_Trans' tasm) l (p, _) pt =
   264     let
   265       val p' = lev_up p
   266       val (pt, c) = append_result pt p' l tasm Complete
   267     in
   268       ((p', Res), c, FormKF "DUMMY" (*term2str t ..ERROR (t) has not been declared*), pt)
   269     end
   270   | generate1 _ (Tactic.Rewrite_Inst' (_, _, _, _, subs', thm', f, (f', asm))) (is, ctxt) (p, _) pt =
   271     let
   272       val (pt, c) = cappend_atomic pt p (is, Stool.insert_assumptions asm ctxt) f
   273         (Tactic.Rewrite_Inst (Selem.subst2subs subs', thm')) (f',asm) Complete;
   274       val pt = update_branch pt p TransitiveB
   275     in
   276       ((p, Res), c, FormKF (Rule.term2str f'), pt)
   277     end
   278  | generate1 _ (Tactic.Rewrite' (_, _, _, _, thm', f, (f', asm))) (is, ctxt) (p, _) pt =
   279    let
   280      val (pt, c) = cappend_atomic pt p (is, Stool.insert_assumptions asm ctxt) f
   281        (Tactic.Rewrite thm') (f', asm) Complete
   282      val pt = update_branch pt p TransitiveB
   283    in
   284     ((p, Res), c, FormKF (Rule.term2str f'), pt)
   285    end
   286   | generate1 thy (Tactic.Rewrite_Asm' all) l p pt = generate1 thy (Tactic.Rewrite' all) l p pt
   287   | generate1 _ (Tactic.Rewrite_Set_Inst' (_, _, subs', rls', f, (f', asm))) (is, ctxt) (p, _) pt =
   288     let
   289       val (pt, c) = cappend_atomic pt p (is, Stool.insert_assumptions asm ctxt) f 
   290         (Tactic.Rewrite_Set_Inst (Selem.subst2subs subs', Rule.id_rls rls')) (f', asm) Complete
   291       val pt = update_branch pt p TransitiveB
   292     in
   293       ((p, Res), c, FormKF (Rule.term2str f'), pt)
   294     end
   295   | generate1 thy (Tactic.Detail_Set_Inst' (_, _, subs, rls, f, (_, asm))) (is, ctxt) (p, _) pt =
   296     let
   297       val ctxt' = Stool.insert_assumptions asm ctxt
   298       val (pt, _) = cappend_form pt p (is, ctxt') f 
   299       val pt = update_branch pt p TransitiveB
   300       val is = init_istate (Tactic.Rewrite_Set_Inst (Selem.subst2subs subs, Rule.id_rls rls)) f 
   301       val tac_ = Tactic.Apply_Method' (Celem.e_metID, SOME Rule.e_term (*t ..has not been declared*), is, ctxt')
   302       val pos' = ((lev_on o lev_dn) p, Frm)
   303     in
   304       generate1 thy tac_ (is, ctxt') pos' pt (*implicit Take*)
   305     end
   306   | generate1 _ (Tactic.Rewrite_Set' (_, _, rls', f, (f', asm))) (is, ctxt) (p, _) pt =
   307     let
   308       val (pt, c) = cappend_atomic pt p (is, Stool.insert_assumptions asm ctxt) f 
   309         (Tactic.Rewrite_Set (Rule.id_rls rls')) (f',asm) Complete
   310       val pt = update_branch pt p TransitiveB
   311     in
   312       ((p, Res), c, FormKF (Rule.term2str f'), pt)
   313     end
   314   | generate1 thy (Tactic.Detail_Set' (_, _, rls, f, (_, asm))) (is, ctxt) (p, _) pt =
   315     let
   316       val ctxt' = Stool.insert_assumptions asm ctxt
   317       val (pt, _) = cappend_form pt p (is, ctxt') f 
   318       val pt = update_branch pt p TransitiveB
   319       val is = init_istate (Tactic.Rewrite_Set (Rule.id_rls rls)) f
   320       val tac_ = Tactic.Apply_Method' (Celem.e_metID, SOME Rule.e_term (*t ..has not been declared*), is, ctxt')
   321       val pos' = ((lev_on o lev_dn) p, Frm)
   322     in
   323       generate1 thy tac_ (is, ctxt') pos' pt (*implicit Take*)
   324     end
   325   | generate1 _ (Tactic.Check_Postcond' (_, (scval, asm))) l (p, _) pt =
   326       let
   327         val (pt, c) = append_result pt p l (scval, asm) Complete
   328       in
   329         ((p, Res), c, FormKF (Rule.term2str scval), pt)
   330       end
   331   | generate1 _ (Tactic.Calculate' (_, op_, f, (f', _))) l (p, _) pt =
   332       let
   333         val (pt,c) = cappend_atomic pt p l f (Tactic.Calculate op_) (f', []) Complete
   334       in
   335         ((p, Res), c, FormKF (Rule.term2str f'), pt)
   336       end
   337   | generate1 _ (Tactic.Check_elementwise' (consts, pred, (f', asm))) l (p, _) pt =
   338       let
   339         val (pt,c) = cappend_atomic pt p l consts (Tactic.Check_elementwise pred) (f', asm) Complete
   340       in
   341         ((p, Res), c, FormKF (Rule.term2str f'), pt)
   342       end
   343   | generate1 _ (Tactic.Or_to_List' (ors, list)) l (p, _) pt =
   344       let
   345         val (pt,c) = cappend_atomic pt p l ors Tactic.Or_to_List (list, []) Complete
   346       in
   347         ((p, Res), c, FormKF (Rule.term2str list), pt)
   348       end
   349   | generate1 _ (Tactic.Substitute' (_, _, subte, t, t')) l (p, _) pt =
   350       let
   351         val (pt,c) =
   352           cappend_atomic pt p l t (Tactic.Substitute (Selem.subte2sube subte)) (t',[]) Complete
   353         in ((p, Res), c, FormKF (Rule.term2str t'), pt) 
   354         end
   355   | generate1 _ (Tactic.Tac_ (_, f, id, f')) l (p, _) pt =
   356       let
   357         val (pt, c) = cappend_atomic pt p l (TermC.str2term f) (Tactic.Tac id) (TermC.str2term f', []) Complete
   358       in
   359         ((p,Res), c, FormKF f', pt)
   360       end
   361   | generate1 thy (Tactic.Subproblem' ((domID, pblID, metID), oris, hdl, fmz_, ctxt, f)) l (p, _) pt =
   362     let
   363 	    val (pt, c) = cappend_problem pt p l (fmz_, (domID, pblID, metID)) (oris, (domID, pblID, metID), hdl)
   364       val pt = update_ctxt pt p ctxt
   365 	    val f = Syntax.string_of_term (Rule.thy2ctxt thy) f
   366     in
   367       ((p, Pbl), c, FormKF f, pt)
   368     end
   369   | generate1 _ m' _ _ _ = error ("generate1: not impl.for " ^ Tactic.tac_2str m')
   370 
   371 fun generate_inconsistent_rew (subs_opt, thm') f' (is, ctxt) (pos as (p,_)) pt =
   372   let
   373     val f = get_curr_formula (pt, pos)
   374     val pos' as (p', _) = (lev_on p, Res)
   375     val (pt, _) = case subs_opt of
   376       NONE => cappend_atomic pt p' (is, Stool.insert_assumptions [] ctxt) f
   377         (Tactic.Rewrite thm') (f', []) Inconsistent
   378     | SOME subs => cappend_atomic pt p' (is, Stool.insert_assumptions [] ctxt) f
   379         (Tactic.Rewrite_Inst (subs, thm')) (f', []) Inconsistent
   380     val pt = update_branch pt p' TransitiveB
   381   in (pt, pos') end
   382 
   383 fun generate_hard thy m' (p,p_) pt =
   384   let  
   385     val p = case p_ of
   386       Frm => p | Res => lev_on p
   387     | _ => error ("generate_hard: call by " ^ pos'2str (p,p_))
   388   in generate1 thy m' (Selem.e_istate, Selem.e_ctxt) (p,p_) pt end
   389 
   390 (* tacis are in reverse order from do_solve_step/specify_: last = fst to insert *)
   391 fun generate ([]: taci list) ptp = ptp
   392   | generate tacis (pt, c, _: pos'(*!dropped!WN0504redesign generate/tacis?*))= 
   393     let
   394       val (tacis', (_, tac_, (p, is))) = split_last tacis
   395 	    val (p',c',_,pt') = generate1 (Celem.assoc_thy "Isac") tac_ is p pt
   396     in
   397       generate tacis' (pt', c@c', p')
   398     end
   399 
   400 (* update pos in tacis for embedding by generate *)
   401 fun insert_pos (_: pos) [] = []
   402   | insert_pos (p: pos) (((tac, tac_, (_, ist)): taci) :: tacis) = 
   403     ((tac, tac_, ((p, Res), ist)): taci) :: (insert_pos (lev_on p) tacis)
   404 
   405 fun res_from_taci (_, Tactic.Rewrite' (_, _, _, _, _, _,(res, asm)), _) = (res, asm)
   406   | res_from_taci (_, Tactic.Rewrite_Set' (_, _, _, _, (res, asm)), _) = (res, asm)
   407   | res_from_taci (_, tac_, _) = error ("res_from_taci: called with" ^ Tactic.tac_2str tac_)
   408 
   409 (* embed the tacis created by a '_deriv'ation; sys.form <> input.form
   410   tacis are in order, thus are reverted for generate *)
   411 fun embed_deriv (tacis: taci list) (pt, pos as (p, Frm): pos') =
   412   (*inform at Frm: replace the whole PrfObj by a Transitive-ProfObj FIXME?0402
   413     and transfer the istate (from _after_ compare_deriv) from Frm to Res*)
   414     let
   415       val (res, asm) = (res_from_taci o last_elem) tacis
   416     	val (ist, ctxt) = case get_obj g_loc pt p of
   417     	  (SOME (ist, ctxt), _) => (ist, ctxt)
   418       | (NONE, _) => error "embed_deriv Frm: uncovered case get_obj"
   419     	val form = get_obj g_form pt p
   420           (*val p = lev_on p; ---------------only difference to (..,Res) below*)
   421     	val tacis = (Tactic.Begin_Trans, Tactic.Begin_Trans' form, (pos, (Selem.Uistate, ctxt))) ::
   422     		(insert_pos ((lev_on o lev_dn) p) tacis) @ [(Tactic.End_Trans, Tactic.End_Trans' (res, asm),
   423     			(pos_plus (length tacis) (lev_dn p, Res), (new_val res ist, ctxt)))]
   424     	val {nrls, ...} = Specify.get_met (get_obj g_metID pt (par_pblobj pt p))
   425     	val (pt, c, pos as (p, _)) = generate (rev tacis) (pt, [], (p, Res))
   426     	val pt = update_tac pt p (Tactic.Derive (Rule.id_rls nrls))
   427     	val pt = update_branch pt p TransitiveB
   428     in (c, (pt, pos: pos')) end
   429   | embed_deriv tacis (pt, (p, Res)) =
   430     (*inform at Res: append a Transitive-PrfObj FIXME?0402 other branch-types ?
   431       and transfer the istate (from _after_ compare_deriv) from Res to new Res*)
   432     let val (res, asm) = (res_from_taci o last_elem) tacis
   433     	val (ist, ctxt) = case get_obj g_loc pt p of
   434     	  (_, SOME (ist, ctxt)) => (ist, ctxt)
   435       | (_, NONE) => error "embed_deriv Frm: uncovered case get_obj"
   436     	val (f, _) = get_obj g_result pt p
   437     	val p = lev_on p(*---------------only difference to (..,Frm) above*);
   438     	val tacis = (Tactic.Begin_Trans, Tactic.Begin_Trans' f, ((p, Frm), (Selem.Uistate, ctxt))) ::
   439     		(insert_pos ((lev_on o lev_dn) p) tacis) @ [(Tactic.End_Trans, Tactic.End_Trans' (res, asm), 
   440     			(pos_plus (length tacis) (lev_dn p, Res), (new_val res ist, ctxt)))];
   441     	val {nrls, ...} = Specify.get_met (get_obj g_metID pt (par_pblobj pt p))
   442     	val (pt, c, pos as (p, _)) = generate (rev tacis) (pt, [], (p, Res))
   443     	val pt = update_tac pt p (Tactic.Derive (Rule.id_rls nrls))
   444     	val pt = update_branch pt p TransitiveB
   445     in (c, (pt, pos)) end
   446   | embed_deriv _ _ = error "embed_deriv: uncovered definition"
   447 end