1 (* Copyright (C) 2000, HELM Team.
3 * This file is part of HELM, an Hypertextual, Electronic
4 * Library of Mathematics, developed at the Computer Science
5 * Department, University of Bologna, Italy.
7 * HELM is free software; you can redistribute it and/or
8 * modify it under the terms of the GNU General Public License
9 * as published by the Free Software Foundation; either version 2
10 * of the License, or (at your option) any later version.
12 * HELM is distributed in the hope that it will be useful,
13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU General Public License for more details.
17 * You should have received a copy of the GNU General Public License
18 * along with HELM; if not, write to the Free Software
19 * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
22 * For details, see the HELM World-Wide-Web page,
23 * http://cs.unibo.it/helm/.
26 (***************************************************************************)
30 (* Andrea Asperti <asperti@cs.unibo.it> *)
33 (***************************************************************************)
38 split (n-1) (List.tl l) in
43 let is_big_general countterm p =
44 let maxsize = Cexpr2pres.maxsize in
45 let module Con = Content in
46 let rec countp current_size p =
47 if current_size > maxsize then current_size
49 let c1 = (countcontext current_size p.Con.proof_context) in
50 if c1 > maxsize then c1
52 let c2 = (countapplycontext c1 p.Con.proof_apply_context) in
53 if c2 > maxsize then c2
55 countconclude c2 p.Con.proof_conclude
58 countcontext current_size c =
59 List.fold_left countcontextitem current_size c
61 countcontextitem current_size e =
62 if current_size > maxsize then maxsize
66 (match d.Con.dec_name with
67 Some s -> current_size + 4 + (String.length s)
68 | None -> prerr_endline "NO NAME!!"; assert false)
70 (match h.Con.dec_name with
71 Some s -> current_size + 4 + (String.length s)
72 | None -> prerr_endline "NO NAME!!"; assert false)
73 | `Proof p -> countp current_size p
75 (match d.Con.def_name with
77 let c1 = (current_size + 4 + (String.length s)) in
78 (countterm c1 d.Con.def_term)
80 prerr_endline "NO NAME!!"; assert false)
81 | `Joint ho -> maxsize + 1) (* we assume is big *)
83 countapplycontext current_size ac =
84 List.fold_left countp current_size ac
86 countconclude current_size co =
87 if current_size > maxsize then current_size
89 let c1 = countargs current_size co.Con.conclude_args in
90 if c1 > maxsize then c1
92 (match co.Con.conclude_conclusion with
93 Some concl -> countterm c1 concl
96 countargs current_size args =
97 List.fold_left countarg current_size args
99 countarg current_size arg =
100 if current_size > maxsize then current_size
103 Con.Aux _ -> current_size
104 | Con.Premise prem ->
105 (match prem.Con.premise_binder with
106 Some s -> current_size + (String.length s)
107 | None -> current_size + 7)
109 current_size + (String.length lemma.Con.lemma_name)
110 | Con.Term t -> countterm current_size t
111 | Con.ArgProof p -> countp current_size p
112 | Con.ArgMethod s -> (maxsize + 1)) in
113 let size = (countp 0 p) in
117 let is_big = is_big_general (Cexpr2pres.countterm)
121 let module Con = Content in
124 | `Hypothesis d -> d.Con.dec_id
125 | `Proof p -> p.Con.proof_id
126 | `Definition d -> d.Con.def_id
127 | `Joint jo -> jo.Con.joint_id
130 let make_row ?(attrs=[]) items concl =
131 let module P = Mpresentation in
133 P.Mtable _ -> (* big! *)
134 P.Mtable (attrs@[None,"align","baseline 1"; None,"equalrows","false";
135 None,"columnalign","left"],
136 [P.Mtr([],[P.Mtd ([],P.Mrow([],items))]);
137 P.Mtr ([],[P.Mtd ([],P.indented concl)])])
139 P.Mrow(attrs,items@[P.Mspace([None,"width","0.1cm"]);concl]))
142 let make_concl ?(attrs=[]) verb concl =
143 let module P = Mpresentation in
145 P.Mtable _ -> (* big! *)
146 P.Mtable (attrs@[None,"align","baseline 1"; None,"equalrows","false";
147 None,"columnalign","left"],
148 [P.Mtr([],[P.Mtd ([],P.Mtext([None,"mathcolor","Red"],verb))]);
149 P.Mtr ([],[P.Mtd ([],P.indented concl)])])
152 [P.Mtext([None,"mathcolor","Red"],verb);
153 P.Mspace([None,"width","0.1cm"]);
157 let make_args_for_apply term2pres args =
158 let module Con = Content in
159 let module P = Mpresentation in
160 let rec make_arg_for_apply is_first arg row =
162 Con.Aux n -> assert false
163 | Con.Premise prem ->
165 (match prem.Con.premise_binder with
168 P.smallskip::P.Mi([],name)::row
170 P.smallskip::P.Mi([],lemma.Con.lemma_name)::row
174 else P.smallskip::P.Mi([],"_")::row
177 P.smallskip::P.Mi([],"_")::row) in
180 make_arg_for_apply true hd
181 (List.fold_right (make_arg_for_apply false) tl [])
182 | _ -> assert false;;
184 let rec justification term2pres p =
185 let module Con = Content in
186 let module P = Mpresentation in
187 if ((p.Con.proof_conclude.Con.conclude_method = "Exact") or
188 ((p.Con.proof_context = []) &
189 (p.Con.proof_apply_context = []) &
190 (p.Con.proof_conclude.Con.conclude_method = "Apply"))) then
192 make_args_for_apply term2pres p.Con.proof_conclude.Con.conclude_args in
194 P.Mtext([None,"mathcolor","Red"],"by")::P.Mspace([None,"width","0.1cm"])::
195 P.Mo([],"(")::pres_args@[P.Mo([],")")])
196 else proof2pres term2pres p
198 and proof2pres term2pres p =
199 let rec proof2pres p =
200 let module Con = Content in
201 let module P = Mpresentation in
206 | `Hypothesis _ -> true
208 ((List.filter is_decl p.Con.proof_context) != []) in
209 let omit_conclusion = (not indent) && (p.Con.proof_context != []) in
211 (match p.Con.proof_conclude.Con.conclude_conclusion with
213 | Some t -> Some (term2pres t)) in
216 conclude2pres p.Con.proof_conclude indent omit_conclusion in
218 acontext2pres p.Con.proof_apply_context presconclude indent in
219 context2pres p.Con.proof_context presacontext in
220 match p.Con.proof_name with
225 None -> P.Mtext([],"NO PROOF!!!")
228 P.Maction([None,"actiontype","toggle" ;
229 None,"selection","1"],
230 [(make_concl "proof of" ac);
232 P.Mtable ([None,"align","baseline 1"; None,"equalrows","false";
233 None,"columnalign","left"],
234 [P.Mtr ([],[P.Mtd ([],P.Mfenced([],[P.Mtext ([],name)]))]);
235 P.Mtr ([],[P.Mtd ([], P.indented action)])])
237 P.Mtable ([None,"align","baseline 1"; None,"equalrows","false";
238 None,"columnalign","left";Some "helm", "xref", p.Con.proof_id],
239 [P.Mtr ([],[P.Mtd ([],P.Mfenced([],[P.Mtext ([],name)]))]);
240 P.Mtr ([],[P.Mtd ([], P.indented action)])]) *)
242 and context2pres c continuation =
243 (* we generate a subtable for each context element, for selection
245 The table generated by the head-element does not have an xref;
246 the whole context-proof is already selectable *)
247 let module P = Mpresentation in
253 (fun ce continuation ->
254 let xref = get_xref ce in
255 P.Mtable([None,"align","baseline 1"; None,"equalrows","false";
256 None,"columnalign","left"; Some "helm", "xref", xref ],
257 [P.Mtr([Some "helm", "xref", "ce_"^xref],[P.Mtd ([],ce2pres ce)]);
258 P.Mtr([],[P.Mtd ([], continuation)])])) tl continuation in
259 let hd_xref= get_xref hd in
260 P.Mtable([None,"align","baseline 1"; None,"equalrows","false";
261 None,"columnalign","left"],
262 [P.Mtr([Some "helm", "xref", "ce_"^hd_xref],
263 [P.Mtd ([],ce2pres hd)]);
264 P.Mtr([],[P.Mtd ([], continuation')])])
267 let module P = Mpresentation in
268 let module Con = Content in
271 (match d.Con.dec_name with
273 let ty = term2pres d.Con.dec_type in
275 [P.Mtext([None,"mathcolor","Red"],"Assume");
276 P.Mspace([None,"width","0.1cm"]);
281 prerr_endline "NO NAME!!"; assert false)
283 (match h.Con.dec_name with
285 let ty = term2pres h.Con.dec_type in
287 [P.Mtext([None,"mathcolor","Red"],"Suppose");
288 P.Mspace([None,"width","0.1cm"]);
292 P.Mspace([None,"width","0.1cm"]);
295 prerr_endline "NO NAME!!"; assert false)
296 | `Proof p -> proof2pres p
298 (match d.Con.def_name with
300 let term = term2pres d.Con.def_term in
307 prerr_endline "NO NAME!!"; assert false)
309 P.Mtext ([],"jointdef")
311 and acontext2pres ac continuation indent =
312 let module Con = Content in
313 let module P = Mpresentation in
315 (fun p continuation ->
318 P.indented (proof2pres p)
321 P.Mtable([None,"align","baseline 1"; None,"equalrows","false";
322 None,"columnalign","left"; Some "helm","xref",p.Con.proof_id],
323 [P.Mtr([Some "helm","xref","ace_"^p.Con.proof_id],[P.Mtd ([],hd)]);
324 P.Mtr([],[P.Mtd ([], continuation)])])) ac continuation
326 and conclude2pres conclude indent omit_conclusion =
327 let module Con = Content in
328 let module P = Mpresentation in
330 match conclude.Con.conclude_conclusion with
331 Some t when not omit_conclusion ->
332 let concl = (term2pres t) in
333 if conclude.Con.conclude_method = "BU_Conversion" then
334 make_concl "that is equivalent to" concl
336 let conclude_body = conclude_aux conclude in
337 let ann_concl = make_concl "we conclude" concl in
338 P.Mtable ([None,"align","baseline 1"; None,"equalrows","false";
339 None,"columnalign","left"],
340 [P.Mtr ([],[P.Mtd ([],conclude_body)]);
341 P.Mtr ([],[P.Mtd ([],ann_concl)])])
342 | _ -> conclude_aux conclude in
344 P.indented (P.Mrow ([Some "helm", "xref", conclude.Con.conclude_id],
347 P.Mrow ([Some "helm", "xref", conclude.Con.conclude_id],[tconclude_body])
350 and conclude_aux conclude =
351 let module Con = Content in
352 let module P = Mpresentation in
353 if conclude.Con.conclude_method = "TD_Conversion" then
355 (match conclude.Con.conclude_conclusion with
356 None -> P.Mtext([],"NO EXPECTED!!!")
357 | Some c -> term2pres c) in
359 (match conclude.Con.conclude_args with
360 [Con.ArgProof p] -> p
361 | _ -> assert false) in
363 (match subproof.Con.proof_conclude.Con.conclude_conclusion with
364 None -> P.Mtext([],"NO SYNTH!!!")
365 | Some c -> (term2pres c)) in
367 ([None,"align","baseline 1"; None,"equalrows","false"; None,"columnalign","left"],
368 [P.Mtr([],[P.Mtd([],make_concl "we must prove" expected)]);
369 P.Mtr([],[P.Mtd([],make_concl "or equivalently" synth)]);
370 P.Mtr([],[P.Mtd([],proof2pres subproof)])])
371 else if conclude.Con.conclude_method = "BU_Conversion" then
373 else if conclude.Con.conclude_method = "Exact" then
375 (match conclude.Con.conclude_conclusion with
376 None -> P.Mtext([],"NO Conclusion!!!")
377 | Some c -> term2pres c) in
379 (match conclude.Con.conclude_args with
380 [Con.Term t] -> term2pres t
381 | _ -> assert false) in
383 [arg;P.Mspace([None,"width","0.1cm"]);P.Mtext([],"proves")] conclusion
384 else if conclude.Con.conclude_method = "Intros+LetTac" then
385 (match conclude.Con.conclude_args with
386 [Con.ArgProof p] -> proof2pres p
390 (match conclude.Con.conclude_conclusion with
391 None -> P.Mtext([],"NO Conclusion!!!")
392 | Some c -> term2pres c) in
393 (match conclude.Con.conclude_args with
396 ([None,"align","baseline 1"; None,"equalrows","false";
397 None,"columnalign","left"],
398 [P.Mtr([],[P.Mtd([],proof2pres p)]);
400 (make_concl "we proved 1" conclusion))])]);
403 else if (conclude.Con.conclude_method = "ByInduction") then
405 else if (conclude.Con.conclude_method = "Rewrite") then
407 (match (List.nth conclude.Con.conclude_args 6) with
408 Con.ArgProof p -> justification term2pres p
409 | _ -> assert false) in
411 (match List.nth conclude.Con.conclude_args 2 with
412 Con.Term t -> term2pres t
413 | _ -> assert false) in
415 (match List.nth conclude.Con.conclude_args 5 with
416 Con.Term t -> term2pres t
417 | _ -> assert false) in
418 P.Mtable ([None,"align","baseline 1";None,"equalrows","false";
419 None,"columnalign","left"],
420 [P.Mtr ([],[P.Mtd ([],P.Mrow([],[
421 P.Mtext([None,"mathcolor","Red"],"rewrite");
422 P.Mspace([None,"width","0.1cm"]);term1;
423 P.Mspace([None,"width","0.1cm"]);
424 P.Mtext([None,"mathcolor","Red"],"with");
425 P.Mspace([None,"width","0.1cm"]);term2]))]);
426 P.Mtr ([],[P.Mtd ([],P.indented justif)])]);
429 (match conclude.Con.conclude_conclusion with
430 None -> P.Mtext([],"NO Conclusion!!!")
431 | Some c -> term2pres c) in
432 P.Mtable ([None,"align","baseline 1";None,"equalrows","false";
433 None,"columnalign","left"],
434 [P.Mtr ([],[P.Mtd ([],P.Mrow([],[
435 P.Mtext([None,"mathcolor","Red"],"rewrite");
436 P.Mspace([None,"width","0.1cm"]);term1;
437 P.Mspace([None,"width","0.1cm"]);
438 P.Mtext([None,"mathcolor","Red"],"with");
439 P.Mspace([None,"width","0.1cm"]);term2]))]);
440 P.Mtr ([],[P.Mtd ([],P.indented justif)]);
441 P.Mtr ([],[P.Mtd ([],make_concl "we proved 2" conclusion)])]) *)
442 else if conclude.Con.conclude_method = "Apply" then
444 make_args_for_apply term2pres conclude.Con.conclude_args in
446 P.Mtext([None,"mathcolor","Red"],"by")::
447 P.Mspace([None,"width","0.1cm"])::
448 P.Mo([],"(")::pres_args@[P.Mo([],")")])
452 P.Mtext([None,"mathcolor","Red"],"by")::P.Mspace([None,"width","0.1cm"])::
453 P.Mo([],"(")::pres_args@[P.Mo([],")")]) in
454 match conclude.Con.conclude_conclusion with
455 None -> P.Mrow([],[P.Mtext([],"QUA");by])
457 let concl = (term2pres t) in
458 let ann_concl = make_concl "we proved 3" concl in
459 P.Mtable ([None,"align","baseline 1"; None,"equalrows","false";
460 None,"columnalign","left";
461 Some "helm", "xref", conclude.Con.conclude_id],
462 [P.Mtr ([],[P.Mtd ([],by)]);
463 P.Mtr ([],[P.Mtd ([],ann_concl)])]) *)
466 ([None,"align","baseline 1"; None,"equalrows","false"; None,"columnalign","left"],
467 [P.Mtr ([],[P.Mtd ([],P.Mtext([],"Apply method" ^ conclude.Con.conclude_method ^ " to"))]);
472 ([None,"align","baseline 1"; None,"equalrows","false";
473 None,"columnalign","left"],
474 args2pres conclude.Con.conclude_args))))])])
476 match conclude.Con.conclude_conclusion with
479 let concl = (term2pres t) in
480 let ann_concl = make_concl "we proved 4" concl in
481 P.Mtable ([None,"align","baseline 1"; None,"equalrows","false";
482 None,"columnalign","left"],
483 [P.Mtr ([],[P.Mtd ([],body)]);
484 P.Mtr ([],[P.Mtd ([],ann_concl)])]) *)
487 let module P = Mpresentation in
489 (function a -> P.Mtr ([], [P.Mtd ([], arg2pres a)])) l
492 let module P = Mpresentation in
493 let module Con = Content in
496 P.Mtext ([],"aux " ^ n)
497 | Con.Premise prem ->
498 P.Mtext ([],"premise")
506 P.Mtext ([],"method")
508 and byinduction conclude =
509 let module P = Mpresentation in
510 let module Con = Content in
511 let proof_conclusion =
512 (match conclude.Con.conclude_conclusion with
513 None -> P.Mtext([],"No conclusion???")
514 | Some t -> term2pres t) in
515 let inductive_arg,args_for_cases =
516 (match conclude.Con.conclude_args with
518 let l1,l2 = split (int_of_string n) tl in
519 let last_pos = (List.length l2)-1 in
520 List.nth l2 last_pos,l1
521 | _ -> assert false) in
524 (match inductive_arg with
526 P.Mtext ([],"an aux???")
527 | Con.Premise prem ->
528 (match prem.Con.premise_binder with
529 None -> P.Mtext ([],"the previous result")
530 | Some n -> P.Mi([],n))
531 | Con.Lemma lemma -> P.Mi([],lemma.Con.lemma_name)
535 P.Mtext ([],"a proof???")
537 P.Mtext ([],"a method???")) in
538 (make_concl "we proceede by induction on" arg) in
540 (make_concl "to prove" proof_conclusion) in
542 ([None,"align","baseline 1"; None,"equalrows","false";
543 None,"columnalign","left"],
544 P.Mtr ([],[P.Mtd ([],induction_on)])::
545 P.Mtr ([],[P.Mtd ([],to_prove)])::
546 (make_cases args_for_cases))
549 (make_concl "we proved 5" proof_conclusion) in
551 ([None,"align","baseline 1"; None,"equalrows","false"; None,"columnalign","left"],
552 P.Mtr ([],[P.Mtd ([],induction_on)])::
553 P.Mtr ([],[P.Mtd ([],to_prove)])::
554 (make_cases args_for_cases) @
555 [P.Mtr ([],[P.Mtd ([],we_proved)])]) *)
557 and make_cases args_for_cases =
558 let module P = Mpresentation in
560 (fun p -> P.Mtr ([],[P.Mtd ([],make_case p)])) args_for_cases
563 let module P = Mpresentation in
564 let module Con = Content in
568 (match p.Con.proof_name with
569 None -> P.Mtext([],"no name for case!!")
570 | Some n -> P.Mi([],n)) in
574 `Hypothesis h -> h.Con.dec_inductive
575 | _ -> false) p.Con.proof_context in
584 (match h.Con.dec_name with
587 [P.Mspace([None,"width","0.1cm"]);
590 (term2pres h.Con.dec_type)]
591 | _ -> [P.Mtext ([],"???")]) in
594 P.Mtr ([],[P.Mtd ([],P.Mrow([],
595 P.Mtext([],"Case")::P.Mspace([None,"width","0.1cm"])::name::pattern_aux@
596 [P.Mspace([None,"width","0.1cm"]);
597 P.Mtext([],"->")]))]) in
599 (match p.Con.proof_conclude.Con.conclude_conclusion with
600 None -> P.Mtext([],"No conclusion!!!")
601 | Some t -> term2pres t) in
604 P.indented (make_concl "the thesis becomes" subconcl))]) in
605 let induction_hypothesis =
610 P.Mtr([],[P.Mtd([], P.indented
611 (P.Mtext([],"by induction hypothesis we know:")))]) in
616 (match h.Con.dec_name with
619 P.indented (P.Mrow ([],
623 P.Mspace([None,"width","0.1cm"]);
624 term2pres h.Con.dec_type]))
625 | _ -> assert false in
628 (function ce -> P.Mtr ([], [P.Mtd ([], make_hyp ce)]))
632 acontext2pres_old p.Con.proof_apply_context true in *)
633 let body = conclude2pres p.Con.proof_conclude true false in
635 P.Maction([None,"actiontype","toggle" ; None,"selection","1"],
636 [P.indented (P.Mtext([None,"mathcolor","Red"],"Proof"));
637 acontext2pres p.Con.proof_apply_context body true]) in
638 P.Mtable ([None,"align","baseline 1"; None,"equalrows","false";
639 None,"columnalign","left"],
640 pattern::asubconcl::induction_hypothesis@
641 [P.Mtr([],[P.Mtd([],presacontext)])])
642 | _ -> assert false in
649 let content2pres term2pres (id,params,metasenv,obj) =
650 let module K = Content in
651 let module P = Mpresentation in
653 `Def (K.Const,thesis,`Proof p) ->
655 [None,"align","baseline 1";
656 None,"equalrows","false";
657 None,"columnalign","left";
658 None,"helm:xref","id"]
663 ("UNFINISHED PROOF" ^ id ^"(" ^
664 String.concat " ; " (List.map UriManager.string_of_uri params)^
669 [P.Mtext [] "THESIS:"])] ;
675 term2pres thesis])]] @
681 (* Conjectures are in their own table to make *)
682 (* diffing the DOM trees easier. *)
684 [None,"align","baseline 1";
685 None,"equalrows","false";
686 None,"columnalign","left"]
690 [P.Mtext [] "CONJECTURES:"])])::
704 | (_,Some (`Declaration d))
705 | (_,Some (`Hypothesis d)) ->
707 { K.dec_name = dec_name ;
708 K.dec_type = ty } = d
717 | (_,Some (`Definition d)) ->
719 { K.def_name = def_name ;
720 K.def_term = bo } = d
729 | (_,Some (`Proof p)) ->
730 let proof_name = p.K.proof_name in
733 (match proof_name with
737 proof2pres term2pres p]
740 [ P.Mi [] (string_of_int n) ;
751 [proof2pres term2pres p])]])
755 let content2pres ~ids_to_inner_sorts =
758 (Cexpr2pres.cexpr2pres_charcount
759 (Content_expressions.acic2cexpr ids_to_inner_sorts p)))