1 (* Copyright (C) 2005, 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://helm.cs.unibo.it/
30 module Ast = CicNotationPt
32 type 'a localized_option =
34 | LNone of GrafiteAst.loc
37 (CicNotationPt.term, CicNotationPt.term,
38 CicNotationPt.term GrafiteAst.reduction,
39 CicNotationPt.term CicNotationPt.obj, string)
43 include_paths:string list ->
44 LexiconEngine.status ->
45 LexiconEngine.status * ast_statement localized_option
47 let grammar = CicNotationParser.level2_ast_grammar
49 let term = CicNotationParser.term
50 let statement = Grammar.Entry.create grammar "statement"
52 let add_raw_attribute ~text t = Ast.AttributedTerm (`Raw text, t)
54 let default_precedence = 50
55 let default_associativity = Gramext.NonA
57 type by_continuation =
59 | BYC_weproved of CicNotationPt.term * string option * CicNotationPt.term option
60 | BYC_letsuchthat of string * CicNotationPt.term * string * CicNotationPt.term
61 | BYC_wehaveand of string * CicNotationPt.term * string * CicNotationPt.term
64 GLOBAL: term statement;
65 constructor: [ [ name = IDENT; SYMBOL ":"; typ = term -> (name, typ) ] ];
66 tactic_term: [ [ t = term LEVEL "90N" -> t ] ];
67 ident_list0: [ [ LPAREN; idents = LIST0 IDENT; RPAREN -> idents ] ];
69 [ tactic_terms = LIST1 tactic_term SEP SYMBOL "," -> tactic_terms ]
72 [ IDENT "normalize" -> `Normalize
73 | IDENT "reduce" -> `Reduce
74 | IDENT "simplify" -> `Simpl
75 | IDENT "unfold"; t = OPT tactic_term -> `Unfold t
76 | IDENT "whd" -> `Whd ]
78 sequent_pattern_spec: [
82 path = OPT [SYMBOL ":" ; path = tactic_term -> path ] ->
83 (id,match path with Some p -> p | None -> Ast.UserInput) ];
84 goal_path = OPT [ SYMBOL <:unicode<vdash>>; term = tactic_term -> term ] ->
86 match goal_path, hyp_paths with
87 None, [] -> Some Ast.UserInput
89 | Some goal_path, _ -> Some goal_path
98 [ "match" ; wanted = tactic_term ;
99 sps = OPT [ "in"; sps = sequent_pattern_spec -> sps ] ->
101 | sps = sequent_pattern_spec ->
104 let wanted,hyp_paths,goal_path =
105 match wanted_and_sps with
106 wanted,None -> wanted, [], Some Ast.UserInput
107 | wanted,Some (hyp_paths,goal_path) -> wanted,hyp_paths,goal_path
109 wanted, hyp_paths, goal_path ] ->
111 None -> None,[],Some Ast.UserInput
115 [ SYMBOL ">" -> `LeftToRight
116 | SYMBOL "<" -> `RightToLeft ]
118 int: [ [ num = NUMBER -> int_of_string num ] ];
120 [ idents = OPT ident_list0 ->
121 match idents with None -> [] | Some idents -> idents
125 [ OPT [ IDENT "names" ];
126 num = OPT [ num = int -> num ];
127 idents = intros_names ->
131 using: [ [ using = OPT [ IDENT "using"; t = tactic_term -> t ] -> using ] ];
133 [ IDENT "absurd"; t = tactic_term ->
134 GrafiteAst.Absurd (loc, t)
135 | IDENT "apply"; t = tactic_term ->
136 GrafiteAst.Apply (loc, t)
137 | IDENT "applyS"; t = tactic_term ; params =
138 LIST0 [ i = IDENT -> i,"" | i = IDENT ; SYMBOL "="; v = [ v = int ->
139 string_of_int v | v = IDENT -> v ] -> i,v ] ->
140 GrafiteAst.ApplyS (loc, t, params)
141 | IDENT "assumption" ->
142 GrafiteAst.Assumption loc
143 | IDENT "auto"; params = auto_params ->
144 GrafiteAst.Auto (loc,params)
145 | IDENT "cases"; what = tactic_term;
146 (num, idents) = intros_spec ->
147 GrafiteAst.Cases (loc, what, idents)
148 | IDENT "clear"; ids = LIST1 IDENT ->
149 GrafiteAst.Clear (loc, ids)
150 | IDENT "clearbody"; id = IDENT ->
151 GrafiteAst.ClearBody (loc,id)
152 | IDENT "change"; what = pattern_spec; "with"; t = tactic_term ->
153 GrafiteAst.Change (loc, what, t)
154 | IDENT "constructor"; n = int ->
155 GrafiteAst.Constructor (loc, n)
156 | IDENT "contradiction" ->
157 GrafiteAst.Contradiction loc
158 | IDENT "cut"; t = tactic_term; ident = OPT [ "as"; id = IDENT -> id] ->
159 GrafiteAst.Cut (loc, ident, t)
160 | IDENT "decompose"; types = OPT ident_list0; what = OPT IDENT;
161 idents = OPT [ "as"; idents = LIST1 IDENT -> idents ] ->
162 let types = match types with None -> [] | Some types -> types in
163 let idents = match idents with None -> [] | Some idents -> idents in
164 let to_spec id = GrafiteAst.Ident id in
165 GrafiteAst.Decompose (loc, List.rev_map to_spec types, what, idents)
166 | IDENT "demodulate" -> GrafiteAst.Demodulate loc
167 | IDENT "destruct"; t = tactic_term ->
168 GrafiteAst.Destruct (loc, t)
169 | IDENT "elim"; what = tactic_term; using = using;
170 (num, idents) = intros_spec ->
171 GrafiteAst.Elim (loc, what, using, num, idents)
172 | IDENT "elimType"; what = tactic_term; using = using;
173 (num, idents) = intros_spec ->
174 GrafiteAst.ElimType (loc, what, using, num, idents)
175 | IDENT "exact"; t = tactic_term ->
176 GrafiteAst.Exact (loc, t)
178 GrafiteAst.Exists loc
179 | IDENT "fail" -> GrafiteAst.Fail loc
180 | IDENT "fold"; kind = reduction_kind; t = tactic_term; p = pattern_spec ->
183 raise (HExtlib.Localized (loc, CicNotationParser.Parse_error
184 ("the pattern cannot specify the term to replace, only its"
185 ^ " paths in the hypotheses and in the conclusion")))
187 GrafiteAst.Fold (loc, kind, t, p)
189 GrafiteAst.Fourier loc
190 | IDENT "fwd"; hyp = IDENT; idents = OPT [ "as"; idents = LIST1 IDENT -> idents ] ->
191 let idents = match idents with None -> [] | Some idents -> idents in
192 GrafiteAst.FwdSimpl (loc, hyp, idents)
193 | IDENT "generalize"; p=pattern_spec; id = OPT ["as" ; id = IDENT -> id] ->
194 GrafiteAst.Generalize (loc,p,id)
195 | IDENT "goal"; n = int ->
196 GrafiteAst.Goal (loc, n)
197 | IDENT "id" -> GrafiteAst.IdTac loc
198 | IDENT "intro"; ident = OPT IDENT ->
199 let idents = match ident with None -> [] | Some id -> [id] in
200 GrafiteAst.Intros (loc, Some 1, idents)
201 | IDENT "intros"; (num, idents) = intros_spec ->
202 GrafiteAst.Intros (loc, num, idents)
203 | IDENT "inversion"; t = tactic_term ->
204 GrafiteAst.Inversion (loc, t)
206 linear = OPT [ IDENT "linear" ];
207 depth = OPT [ IDENT "depth"; SYMBOL "="; i = int -> i ];
209 to_what = OPT [ "to" ; t = tactic_term_list1 -> t ];
210 ident = OPT [ "as" ; ident = IDENT -> ident ] ->
211 let linear = match linear with None -> false | Some _ -> true in
212 let to_what = match to_what with None -> [] | Some to_what -> to_what in
213 GrafiteAst.LApply (loc, linear, depth, to_what, what, ident)
214 | IDENT "left" -> GrafiteAst.Left loc
215 | IDENT "letin"; where = IDENT ; SYMBOL <:unicode<def>> ; t = tactic_term ->
216 GrafiteAst.LetIn (loc, t, where)
217 | kind = reduction_kind; p = pattern_spec ->
218 GrafiteAst.Reduce (loc, kind, p)
219 | IDENT "reflexivity" ->
220 GrafiteAst.Reflexivity loc
221 | IDENT "replace"; p = pattern_spec; "with"; t = tactic_term ->
222 GrafiteAst.Replace (loc, p, t)
223 | IDENT "rewrite" ; d = direction; t = tactic_term ; p = pattern_spec ->
227 (HExtlib.Localized (loc,
228 (CicNotationParser.Parse_error
229 "the pattern cannot specify the term to rewrite, only its paths in the hypotheses and in the conclusion")))
231 GrafiteAst.Rewrite (loc, d, t, p)
240 | IDENT "symmetry" ->
241 GrafiteAst.Symmetry loc
242 | IDENT "transitivity"; t = tactic_term ->
243 GrafiteAst.Transitivity (loc, t)
244 (* Produzioni Aggiunte *)
245 | IDENT "assume" ; id = IDENT ; SYMBOL ":" ; t = tactic_term ->
246 GrafiteAst.Assume (loc, id, t)
247 | IDENT "suppose" ; t = tactic_term ; LPAREN ; id = IDENT ; RPAREN ; t1 = OPT [IDENT "that" ; IDENT "is" ; IDENT "equivalent" ; "to" ; t' = tactic_term -> t']->
248 GrafiteAst.Suppose (loc, t, id, t1)
249 | IDENT "by" ; t = [t' = tactic_term -> LSome t' | SYMBOL "_" -> LNone loc];
250 cont=by_continuation ->
251 let t' = match t with LNone _ -> None | LSome t -> Some t in
253 BYC_done -> GrafiteAst.Bydone (loc, t')
254 | BYC_weproved (ty,id,t1) ->
255 GrafiteAst.By_term_we_proved(loc, t', ty, id, t1)
256 | BYC_letsuchthat (id1,t1,id2,t2) ->
259 raise (HExtlib.Localized
260 (floc,CicNotationParser.Parse_error
261 "tactic_term expected here"))
262 | LSome t -> GrafiteAst.ExistsElim (loc, t, id1, t1, id2, t2))
263 | BYC_wehaveand (id1,t1,id2,t2) ->
266 raise (HExtlib.Localized
267 (floc,CicNotationParser.Parse_error
268 "tactic_term expected here"))
269 | LSome t -> GrafiteAst.AndElim (loc, t, id1, t1, id2, t2)))
270 | IDENT "we" ; IDENT "need" ; "to" ; IDENT "prove" ; t = tactic_term ; id = OPT [ LPAREN ; id = IDENT ; RPAREN -> id ] ; t1 = OPT [IDENT "or" ; IDENT "equivalently"; t' = tactic_term -> t']->
271 GrafiteAst.We_need_to_prove (loc, t, id, t1)
272 | IDENT "we" ; IDENT "proceed" ; IDENT "by" ; IDENT "cases" ; "on" ; t=tactic_term ; "to" ; IDENT "prove" ; t1=tactic_term ->
273 GrafiteAst.We_proceed_by_cases_on (loc, t, t1)
274 | IDENT "we" ; IDENT "proceed" ; IDENT "by" ; IDENT "induction" ; "on" ; t=tactic_term ; "to" ; IDENT "prove" ; t1=tactic_term ->
275 GrafiteAst.We_proceed_by_induction_on (loc, t, t1)
276 | IDENT "by" ; IDENT "induction" ; IDENT "hypothesis" ; IDENT "we" ; IDENT "know" ; t=tactic_term ; LPAREN ; id = IDENT ; RPAREN ->
277 GrafiteAst.Byinduction(loc, t, id)
278 | IDENT "the" ; IDENT "thesis" ; IDENT "becomes" ; t=tactic_term ->
279 GrafiteAst.Thesisbecomes(loc, t)
280 | IDENT "case" ; id = IDENT ; params=LIST0[LPAREN ; i=IDENT ;
281 SYMBOL":" ; t=tactic_term ; RPAREN -> i,t] ->
282 GrafiteAst.Case(loc,id,params)
283 | start=[IDENT "conclude" -> None | IDENT "obtain" ; name = IDENT -> Some name] ; termine=tactic_term ; SYMBOL "=" ; t1=tactic_term ; IDENT "by" ; t2=[ t=tactic_term -> `Term t | SYMBOL "_" ; params = auto_params' -> `Auto params ] ; cont=rewriting_step_continuation ->
284 GrafiteAst.RewritingStep(loc, Some (start,termine), t1, t2, cont)
285 | SYMBOL "=" ; t1=tactic_term ; IDENT "by" ; t2=[ t=tactic_term -> `Term t | SYMBOL "_" ; params = auto_params' -> `Auto params ] ;
286 cont=rewriting_step_continuation ->
287 GrafiteAst.RewritingStep(loc, None, t1, t2, cont)
292 LIST0 [ i = IDENT -> i,"" | i = IDENT ; SYMBOL "="; v = [ v = int ->
293 string_of_int v | v = IDENT -> v ] -> i,v ] ->
298 [ LPAREN; params = auto_params; RPAREN -> params
303 [ IDENT "we" ; IDENT "proved" ; ty = tactic_term ; LPAREN ; id = IDENT ; RPAREN ; t1 = OPT [IDENT "that" ; IDENT "is" ; IDENT "equivalent" ; "to" ; t2 = tactic_term -> t2] -> BYC_weproved (ty,Some id,t1)
304 | IDENT "we" ; IDENT "proved" ; ty = tactic_term ; t1 = OPT [IDENT "that" ; IDENT "is" ; IDENT "equivalent" ; "to" ; t2 = tactic_term -> t2] ;
305 IDENT "done" -> BYC_weproved (ty,None,t1)
306 | IDENT "done" -> BYC_done
307 | "let" ; id1 = IDENT ; SYMBOL ":" ; t1 = tactic_term ;
308 IDENT "such" ; IDENT "that" ; t2=tactic_term ; LPAREN ; id2 = IDENT ; RPAREN -> BYC_letsuchthat (id1,t1,id2,t2)
309 | IDENT "we" ; IDENT "have" ; t1=tactic_term ; LPAREN ; id1=IDENT ; RPAREN ;"and" ; t2=tactic_term ; LPAREN ; id2=IDENT ; RPAREN ->
310 BYC_wehaveand (id1,t1,id2,t2)
313 rewriting_step_continuation : [
314 [ IDENT "done" -> true
320 [ t1 = SELF; SYMBOL ";"; t2 = SELF ->
323 | GrafiteAst.Seq (_, l) -> l @ [ t2 ]
326 GrafiteAst.Seq (loc, ts)
329 [ tac = SELF; SYMBOL ";";
330 SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
331 (GrafiteAst.Then (loc, tac, tacs))
334 [ IDENT "do"; count = int; tac = SELF; IDENT "end" ->
335 GrafiteAst.Do (loc, count, tac)
336 | IDENT "repeat"; tac = SELF; IDENT "end" -> GrafiteAst.Repeat (loc, tac)
340 SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
341 GrafiteAst.First (loc, tacs)
342 | IDENT "try"; tac = SELF -> GrafiteAst.Try (loc, tac)
344 SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
345 GrafiteAst.Solve (loc, tacs)
346 | IDENT "progress"; tac = SELF -> GrafiteAst.Progress (loc, tac)
347 | LPAREN; tac = SELF; RPAREN -> tac
348 | tac = tactic -> GrafiteAst.Tactic (loc, tac)
351 punctuation_tactical:
353 [ SYMBOL "[" -> GrafiteAst.Branch loc
354 | SYMBOL "|" -> GrafiteAst.Shift loc
355 | i = LIST1 int SEP SYMBOL ","; SYMBOL ":" -> GrafiteAst.Pos (loc, i)
356 | SYMBOL "*"; SYMBOL ":" -> GrafiteAst.Wildcard loc
357 | SYMBOL "]" -> GrafiteAst.Merge loc
358 | SYMBOL ";" -> GrafiteAst.Semicolon loc
359 | SYMBOL "." -> GrafiteAst.Dot loc
364 [ IDENT "focus"; goals = LIST1 int -> GrafiteAst.Focus (loc, goals)
365 | IDENT "unfocus" -> GrafiteAst.Unfocus loc
366 | IDENT "skip" -> GrafiteAst.Skip loc
367 | tac = atomic_tactical LEVEL "loops" -> tac
371 [ [ IDENT "definition" ] -> `Definition
372 | [ IDENT "fact" ] -> `Fact
373 | [ IDENT "lemma" ] -> `Lemma
374 | [ IDENT "remark" ] -> `Remark
375 | [ IDENT "theorem" ] -> `Theorem
379 fst_name = IDENT; params = LIST0 CicNotationParser.protected_binder_vars;
380 SYMBOL ":"; fst_typ = term; SYMBOL <:unicode<def>>; OPT SYMBOL "|";
381 fst_constructors = LIST0 constructor SEP SYMBOL "|";
384 name = IDENT; SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>;
385 OPT SYMBOL "|"; constructors = LIST0 constructor SEP SYMBOL "|" ->
386 (name, true, typ, constructors) ] SEP "with" -> types
390 (fun (names, typ) acc ->
391 (List.map (fun name -> (name, typ)) names) @ acc)
394 let fst_ind_type = (fst_name, true, fst_typ, fst_constructors) in
395 let tl_ind_types = match tl with None -> [] | Some types -> types in
396 let ind_types = fst_ind_type :: tl_ind_types in
401 name = IDENT; params = LIST0 CicNotationParser.protected_binder_vars ;
402 SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>; SYMBOL "{" ;
406 SYMBOL ":" -> false,0
407 | SYMBOL ":"; SYMBOL ">" -> true,0
408 | SYMBOL ":"; arity = int ; SYMBOL ">" -> true,arity
411 let b,n = coercion in
413 ] SEP SYMBOL ";"; SYMBOL "}" ->
416 (fun (names, typ) acc ->
417 (List.map (fun name -> (name, typ)) names) @ acc)
420 (params,name,typ,fields)
424 [ [ IDENT "check" ]; t = term ->
425 GrafiteAst.Check (loc, t)
427 style = OPT [ IDENT "procedural" ];
428 suri = QSTRING; prefix = OPT QSTRING ->
429 let style = match style with
430 | None -> GrafiteAst.Declarative
431 | Some _ -> GrafiteAst.Procedural
433 let prefix = match prefix with None -> "" | Some prefix -> prefix in
434 GrafiteAst.Inline (loc,style,suri,prefix)
435 | [ IDENT "hint" ] -> GrafiteAst.Hint loc
436 | [ IDENT "whelp"; "match" ] ; t = term ->
437 GrafiteAst.WMatch (loc,t)
438 | [ IDENT "whelp"; IDENT "instance" ] ; t = term ->
439 GrafiteAst.WInstance (loc,t)
440 | [ IDENT "whelp"; IDENT "locate" ] ; id = QSTRING ->
441 GrafiteAst.WLocate (loc,id)
442 | [ IDENT "whelp"; IDENT "elim" ] ; t = term ->
443 GrafiteAst.WElim (loc, t)
444 | [ IDENT "whelp"; IDENT "hint" ] ; t = term ->
445 GrafiteAst.WHint (loc,t)
449 [ IDENT "id"; id = QSTRING; SYMBOL "="; uri = QSTRING ->
450 let alpha = "[a-zA-Z]" in
451 let num = "[0-9]+" in
452 let ident_cont = "\\("^alpha^"\\|"^num^"\\|_\\|\\\\\\)" in
453 let ident = "\\("^alpha^ident_cont^"*\\|_"^ident_cont^"+\\)" in
454 let rex = Str.regexp ("^"^ident^"$") in
455 if Str.string_match rex id 0 then
456 if (try ignore (UriManager.uri_of_string uri); true
457 with UriManager.IllFormedUri _ -> false)
459 LexiconAst.Ident_alias (id, uri)
462 (HExtlib.Localized (loc, CicNotationParser.Parse_error (sprintf "Not a valid uri: %s" uri)))
464 raise (HExtlib.Localized (loc, CicNotationParser.Parse_error (
465 sprintf "Not a valid identifier: %s" id)))
466 | IDENT "symbol"; symbol = QSTRING;
467 instance = OPT [ LPAREN; IDENT "instance"; n = int; RPAREN -> n ];
468 SYMBOL "="; dsc = QSTRING ->
470 match instance with Some i -> i | None -> 0
472 LexiconAst.Symbol_alias (symbol, instance, dsc)
474 instance = OPT [ LPAREN; IDENT "instance"; n = int; RPAREN -> n ];
475 SYMBOL "="; dsc = QSTRING ->
477 match instance with Some i -> i | None -> 0
479 LexiconAst.Number_alias (instance, dsc)
483 [ l = LIST0 [ SYMBOL <:unicode<eta>> (* η *); SYMBOL "." -> () ];
485 Ast.IdentArg (List.length l, id)
489 [ IDENT "left"; IDENT "associative" -> Gramext.LeftA
490 | IDENT "right"; IDENT "associative" -> Gramext.RightA
491 | IDENT "non"; IDENT "associative" -> Gramext.NonA
495 [ "with"; IDENT "precedence"; n = NUMBER -> int_of_string n ]
498 [ dir = OPT direction; s = QSTRING;
499 assoc = OPT associativity; prec = OPT precedence;
502 [ blob = UNPARSED_AST ->
503 add_raw_attribute ~text:(sprintf "@{%s}" blob)
504 (CicNotationParser.parse_level2_ast
505 (Ulexing.from_utf8_string blob))
506 | blob = UNPARSED_META ->
507 add_raw_attribute ~text:(sprintf "${%s}" blob)
508 (CicNotationParser.parse_level2_meta
509 (Ulexing.from_utf8_string blob))
513 | None -> default_associativity
514 | Some assoc -> assoc
518 | None -> default_precedence
522 add_raw_attribute ~text:s
523 (CicNotationParser.parse_level1_pattern
524 (Ulexing.from_utf8_string s))
526 (dir, p1, assoc, prec, p2)
530 [ u = URI -> Ast.UriPattern (UriManager.uri_of_string u)
531 | id = IDENT -> Ast.VarPattern id
532 | SYMBOL "_" -> Ast.ImplicitPattern
533 | LPAREN; terms = LIST1 SELF; RPAREN ->
537 | terms -> Ast.ApplPattern terms)
541 [ s = CSYMBOL; args = LIST0 argument; SYMBOL "="; t = level3_term ->
547 IDENT "include" ; path = QSTRING ->
548 loc,path,LexiconAst.WithPreferences
549 | IDENT "include'" ; path = QSTRING ->
550 loc,path,LexiconAst.WithoutPreferences
554 IDENT "set"; n = QSTRING; v = QSTRING ->
555 GrafiteAst.Set (loc, n, v)
556 | IDENT "drop" -> GrafiteAst.Drop loc
557 | IDENT "print"; s = IDENT -> GrafiteAst.Print (loc,s)
558 | IDENT "qed" -> GrafiteAst.Qed loc
559 | IDENT "variant" ; name = IDENT; SYMBOL ":";
560 typ = term; SYMBOL <:unicode<def>> ; newname = IDENT ->
563 (`Variant,name,typ,Some (Ast.Ident (newname, None))))
564 | flavour = theorem_flavour; name = IDENT; SYMBOL ":"; typ = term;
565 body = OPT [ SYMBOL <:unicode<def>> (* ≝ *); body = term -> body ] ->
566 GrafiteAst.Obj (loc, Ast.Theorem (flavour, name, typ, body))
567 | flavour = theorem_flavour; name = IDENT; SYMBOL <:unicode<def>> (* ≝ *);
570 Ast.Theorem (flavour, name, Ast.Implicit, Some body))
571 | IDENT "axiom"; name = IDENT; SYMBOL ":"; typ = term ->
572 GrafiteAst.Obj (loc, Ast.Theorem (`Axiom, name, typ, None))
573 | "let"; ind_kind = [ "corec" -> `CoInductive | "rec"-> `Inductive ];
574 defs = CicNotationParser.let_defs ->
577 | (params,(Ast.Ident (name, None), Some ty),_,_) :: _ ->
580 (fun var ty -> Ast.Binder (`Pi,var,ty)
584 | (_,(Ast.Ident (name, None), None),_,_) :: _ ->
588 let body = Ast.Ident (name,None) in
589 GrafiteAst.Obj (loc, Ast.Theorem(`Definition, name, ty,
590 Some (Ast.LetRec (ind_kind, defs, body))))
591 | IDENT "inductive"; spec = inductive_spec ->
592 let (params, ind_types) = spec in
593 GrafiteAst.Obj (loc, Ast.Inductive (params, ind_types))
594 | IDENT "coinductive"; spec = inductive_spec ->
595 let (params, ind_types) = spec in
596 let ind_types = (* set inductive flags to false (coinductive) *)
597 List.map (fun (name, _, term, ctors) -> (name, false, term, ctors))
600 GrafiteAst.Obj (loc, Ast.Inductive (params, ind_types))
601 | IDENT "coercion" ; suri = URI ; arity = OPT int ->
602 let arity = match arity with None -> 0 | Some x -> x in
603 GrafiteAst.Coercion (loc, UriManager.uri_of_string suri, true, arity)
604 | IDENT "record" ; (params,name,ty,fields) = record_spec ->
605 GrafiteAst.Obj (loc, Ast.Record (params,name,ty,fields))
606 | IDENT "default" ; what = QSTRING ; uris = LIST1 URI ->
607 let uris = List.map UriManager.uri_of_string uris in
608 GrafiteAst.Default (loc,what,uris)
609 | IDENT "relation" ; aeq = tactic_term ; "on" ; a = tactic_term ;
610 refl = OPT [ IDENT "reflexivity" ; IDENT "proved" ; IDENT "by" ;
611 refl = tactic_term -> refl ] ;
612 sym = OPT [ IDENT "symmetry" ; IDENT "proved" ; IDENT "by" ;
613 sym = tactic_term -> sym ] ;
614 trans = OPT [ IDENT "transitivity" ; IDENT "proved" ; IDENT "by" ;
615 trans = tactic_term -> trans ] ;
617 GrafiteAst.Relation (loc,id,a,aeq,refl,sym,trans)
620 IDENT "alias" ; spec = alias_spec ->
621 LexiconAst.Alias (loc, spec)
622 | IDENT "notation"; (dir, l1, assoc, prec, l2) = notation ->
623 LexiconAst.Notation (loc, dir, l1, assoc, prec, l2)
624 | IDENT "interpretation"; id = QSTRING;
625 (symbol, args, l3) = interpretation ->
626 LexiconAst.Interpretation (loc, id, (symbol, args), l3)
629 [ cmd = grafite_command; SYMBOL "." -> GrafiteAst.Command (loc, cmd)
630 | tac = tactical; punct = punctuation_tactical ->
631 GrafiteAst.Tactical (loc, tac, Some punct)
632 | punct = punctuation_tactical -> GrafiteAst.Tactical (loc, punct, None)
633 | mac = macro; SYMBOL "." -> GrafiteAst.Macro (loc, mac)
637 [ BEGINCOMMENT ; ex = executable ; ENDCOMMENT ->
638 GrafiteAst.Code (loc, ex)
640 GrafiteAst.Note (loc, str)
645 fun ~include_paths status -> status,LSome(GrafiteAst.Executable (loc,ex))
647 fun ~include_paths status -> status,LSome (GrafiteAst.Comment (loc, com))
648 | (iloc,fname,mode) = include_command ; SYMBOL "." ->
649 fun ~include_paths status ->
651 DependenciesParser.baseuri_of_script ~include_paths fname
654 LexiconEngine.eval_command status
655 (LexiconAst.Include (iloc,buri,mode,fullpath))
659 (GrafiteAst.Executable
660 (loc,GrafiteAst.Command
661 (loc,GrafiteAst.Include (iloc,buri))))
662 | scom = lexicon_command ; SYMBOL "." ->
663 fun ~include_paths status ->
664 let status = LexiconEngine.eval_command status scom in
666 | EOI -> raise End_of_file
671 let exc_located_wrapper f =
675 | Stdpp.Exc_located (_, End_of_file) -> raise End_of_file
676 | Stdpp.Exc_located (floc, Stream.Error msg) ->
677 raise (HExtlib.Localized (floc,CicNotationParser.Parse_error msg))
678 | Stdpp.Exc_located (floc, exn) ->
680 (HExtlib.Localized (floc,CicNotationParser.Parse_error (Printexc.to_string exn)))
682 let parse_statement lexbuf =
684 (fun () -> (Grammar.Entry.parse statement (Obj.magic lexbuf)))