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/
28 let grammar = CicNotationParser.level2_ast_grammar
30 let term = CicNotationParser.term
31 let statement = Grammar.Entry.create grammar "statement"
33 let add_raw_attribute ~text t = CicNotationPt.AttributedTerm (`Raw text, t)
35 let default_precedence = 50
36 let default_associativity = Gramext.NonA
39 GLOBAL: term statement;
41 [ LPAREN; names = LIST1 IDENT SEP SYMBOL ",";
42 SYMBOL ":"; ty = term; RPAREN -> names,ty
43 | name = IDENT -> [name],CicNotationPt.Implicit
46 constructor: [ [ name = IDENT; SYMBOL ":"; typ = term -> (name, typ) ] ];
47 tactic_term: [ [ t = term -> t ] ];
49 [ SYMBOL "["; idents = LIST0 IDENT SEP SYMBOL ";"; SYMBOL "]" -> idents ]
52 [ tactic_terms = LIST1 tactic_term SEP SYMBOL "," -> tactic_terms ]
55 [ IDENT "reduce" -> `Reduce
56 | IDENT "simplify" -> `Simpl
58 | IDENT "normalize" -> `Normalize ]
60 sequent_pattern_spec: [
64 path = OPT [SYMBOL ":" ; path = term -> path ] ->
65 (id,match path with Some p -> p | None -> CicNotationPt.UserInput) ]
67 goal_path = OPT [ SYMBOL <:unicode<vdash>>; term = term -> term ] ->
70 None -> CicNotationPt.UserInput
71 | Some goal_path -> goal_path
80 [ "match" ; wanted = term ;
81 sps = OPT [ "in"; sps = sequent_pattern_spec -> sps ] ->
83 | sps = sequent_pattern_spec ->
86 let wanted,hyp_paths,goal_path =
87 match wanted_and_sps with
88 wanted,None -> wanted, [], CicNotationPt.UserInput
89 | wanted,Some (hyp_paths,goal_path) -> wanted,hyp_paths,goal_path
91 wanted, hyp_paths, goal_path ] ->
93 None -> None,[],CicNotationPt.UserInput
97 [ SYMBOL ">" -> `LeftToRight
98 | SYMBOL "<" -> `RightToLeft ]
100 int: [ [ num = NUMBER -> int_of_string num ] ];
102 [ IDENT "absurd"; t = tactic_term ->
103 GrafiteAst.Absurd (loc, t)
104 | IDENT "apply"; t = tactic_term ->
105 GrafiteAst.Apply (loc, t)
106 | IDENT "assumption" ->
107 GrafiteAst.Assumption loc
109 depth = OPT [ IDENT "depth"; SYMBOL "="; i = int -> i ];
110 width = OPT [ IDENT "width"; SYMBOL "="; i = int -> i ] ->
111 GrafiteAst.Auto (loc,depth,width)
112 | IDENT "clear"; id = IDENT ->
113 GrafiteAst.Clear (loc,id)
114 | IDENT "clearbody"; id = IDENT ->
115 GrafiteAst.ClearBody (loc,id)
116 | IDENT "change"; what = pattern_spec; "with"; t = tactic_term ->
117 GrafiteAst.Change (loc, what, t)
118 | IDENT "compare"; t = tactic_term ->
119 GrafiteAst.Compare (loc,t)
120 | IDENT "constructor"; n = int ->
121 GrafiteAst.Constructor (loc, n)
122 | IDENT "contradiction" ->
123 GrafiteAst.Contradiction loc
124 | IDENT "cut"; t = tactic_term; ident = OPT [ "as"; id = IDENT -> id] ->
125 GrafiteAst.Cut (loc, ident, t)
126 | IDENT "decide"; IDENT "equality" ->
127 GrafiteAst.DecideEquality loc
128 | IDENT "decompose"; where = tactic_term ->
129 GrafiteAst.Decompose (loc, where)
130 | IDENT "discriminate"; t = tactic_term ->
131 GrafiteAst.Discriminate (loc, t)
132 | IDENT "elim"; what = tactic_term;
133 using = OPT [ "using"; using = tactic_term -> using ];
134 OPT "names"; num = OPT [num = int -> num];
135 idents = OPT ident_list0 ->
136 let idents = match idents with None -> [] | Some idents -> idents in
137 GrafiteAst.Elim (loc, what, using, num, idents)
138 | IDENT "elimType"; what = tactic_term;
139 using = OPT [ "using"; using = tactic_term -> using ];
140 OPT "names"; num = OPT [num = int -> num]; idents = OPT ident_list0 ->
141 let idents = match idents with None -> [] | Some idents -> idents in
142 GrafiteAst.ElimType (loc, what, using, num, idents)
143 | IDENT "exact"; t = tactic_term ->
144 GrafiteAst.Exact (loc, t)
146 GrafiteAst.Exists loc
147 | IDENT "fail" -> GrafiteAst.Fail loc
148 | IDENT "fold"; kind = reduction_kind; t = tactic_term; p = pattern_spec ->
151 raise (CicNotationParser.Parse_error
152 (loc, "the pattern cannot specify the term to replace, only its"
153 ^ " paths in the hypotheses and in the conclusion"))
155 GrafiteAst.Fold (loc, kind, t, p)
157 GrafiteAst.Fourier loc
158 | IDENT "fwd"; hyp = IDENT; idents = OPT ident_list0 ->
159 let idents = match idents with None -> [] | Some idents -> idents in
160 GrafiteAst.FwdSimpl (loc, hyp, idents)
161 | IDENT "generalize"; p=pattern_spec; id = OPT ["as" ; id = IDENT -> id] ->
162 GrafiteAst.Generalize (loc,p,id)
163 | IDENT "goal"; n = int ->
164 GrafiteAst.Goal (loc, n)
165 | IDENT "id" -> GrafiteAst.IdTac loc
166 | IDENT "injection"; t = tactic_term ->
167 GrafiteAst.Injection (loc, t)
168 | IDENT "intro"; ident = OPT IDENT ->
169 let idents = match ident with None -> [] | Some id -> [id] in
170 GrafiteAst.Intros (loc, Some 1, idents)
171 | IDENT "intros"; num = OPT [num = int -> num]; idents = OPT ident_list0 ->
172 let idents = match idents with None -> [] | Some idents -> idents in
173 GrafiteAst.Intros (loc, num, idents)
175 depth = OPT [ IDENT "depth"; SYMBOL "="; i = int -> i ];
177 to_what = OPT [ "to" ; t = tactic_term_list1 -> t ];
178 ident = OPT [ "using" ; ident = IDENT -> ident ] ->
179 let to_what = match to_what with None -> [] | Some to_what -> to_what in
180 GrafiteAst.LApply (loc, depth, to_what, what, ident)
181 | IDENT "left" -> GrafiteAst.Left loc
182 | IDENT "letin"; where = IDENT ; SYMBOL <:unicode<def>> ; t = tactic_term ->
183 GrafiteAst.LetIn (loc, t, where)
184 | kind = reduction_kind; p = pattern_spec ->
185 GrafiteAst.Reduce (loc, kind, p)
186 | IDENT "reflexivity" ->
187 GrafiteAst.Reflexivity loc
188 | IDENT "replace"; p = pattern_spec; "with"; t = tactic_term ->
189 GrafiteAst.Replace (loc, p, t)
190 | IDENT "rewrite" ; d = direction; t = tactic_term ; p = pattern_spec ->
194 (CicNotationParser.Parse_error
195 (loc,"the pattern cannot specify the term to rewrite, only its paths in the hypotheses and in the conclusion"))
197 GrafiteAst.Rewrite (loc, d, t, p)
204 | IDENT "symmetry" ->
205 GrafiteAst.Symmetry loc
206 | IDENT "transitivity"; t = tactic_term ->
207 GrafiteAst.Transitivity (loc, t)
212 [ tacticals = LIST1 NEXT SEP SYMBOL ";" ->
216 | l -> GrafiteAst.Seq (loc, l)
219 [ tac = tactical; SYMBOL ";";
220 SYMBOL "["; tacs = LIST0 tactical SEP SYMBOL "|"; SYMBOL "]" ->
221 (GrafiteAst.Then (loc, tac, tacs))
224 [ IDENT "do"; count = int; tac = tactical ->
225 GrafiteAst.Do (loc, count, tac)
226 | IDENT "repeat"; tac = tactical ->
227 GrafiteAst.Repeat (loc, tac)
231 SYMBOL "["; tacs = LIST0 tactical SEP SYMBOL "|"; SYMBOL "]" ->
232 GrafiteAst.First (loc, tacs)
233 | IDENT "try"; tac = NEXT ->
234 GrafiteAst.Try (loc, tac)
236 SYMBOL "["; tacs = LIST0 tactical SEP SYMBOL "|"; SYMBOL "]" ->
237 GrafiteAst.Solve (loc, tacs)
238 | LPAREN; tac = tactical; RPAREN -> tac
239 | tac = tactic -> GrafiteAst.Tactic (loc, tac)
243 [ [ IDENT "definition" ] -> `Definition
244 | [ IDENT "fact" ] -> `Fact
245 | [ IDENT "lemma" ] -> `Lemma
246 | [ IDENT "remark" ] -> `Remark
247 | [ IDENT "theorem" ] -> `Theorem
251 fst_name = IDENT; params = LIST0 [ arg=arg -> arg ];
252 SYMBOL ":"; fst_typ = term; SYMBOL <:unicode<def>>; OPT SYMBOL "|";
253 fst_constructors = LIST0 constructor SEP SYMBOL "|";
256 name = IDENT; SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>;
257 OPT SYMBOL "|"; constructors = LIST0 constructor SEP SYMBOL "|" ->
258 (name, true, typ, constructors) ] SEP "with" -> types
262 (fun (names, typ) acc ->
263 (List.map (fun name -> (name, typ)) names) @ acc)
266 let fst_ind_type = (fst_name, true, fst_typ, fst_constructors) in
267 let tl_ind_types = match tl with None -> [] | Some types -> types in
268 let ind_types = fst_ind_type :: tl_ind_types in
273 name = IDENT; params = LIST0 [ arg = arg -> arg ] ;
274 SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>; SYMBOL "{" ;
276 name = IDENT ; SYMBOL ":" ; ty = term -> (name,ty)
277 ] SEP SYMBOL ";"; SYMBOL "}" ->
280 (fun (names, typ) acc ->
281 (List.map (fun name -> (name, typ)) names) @ acc)
284 (params,name,typ,fields)
288 [ [ IDENT "quit" ] -> GrafiteAst.Quit loc
289 (* | [ IDENT "abort" ] -> GrafiteAst.Abort loc *)
290 | [ IDENT "print" ]; name = QSTRING -> GrafiteAst.Print (loc, name)
291 (* | [ IDENT "undo" ]; steps = OPT NUMBER ->
292 GrafiteAst.Undo (loc, int_opt steps)
293 | [ IDENT "redo" ]; steps = OPT NUMBER ->
294 GrafiteAst.Redo (loc, int_opt steps) *)
295 | [ IDENT "check" ]; t = term ->
296 GrafiteAst.Check (loc, t)
297 | [ IDENT "hint" ] -> GrafiteAst.Hint loc
298 | [ IDENT "whelp"; "match" ] ; t = term ->
299 GrafiteAst.WMatch (loc,t)
300 | [ IDENT "whelp"; IDENT "instance" ] ; t = term ->
301 GrafiteAst.WInstance (loc,t)
302 | [ IDENT "whelp"; IDENT "locate" ] ; id = IDENT ->
303 GrafiteAst.WLocate (loc,id)
304 | [ IDENT "whelp"; IDENT "elim" ] ; t = term ->
305 GrafiteAst.WElim (loc, t)
306 | [ IDENT "whelp"; IDENT "hint" ] ; t = term ->
307 GrafiteAst.WHint (loc,t)
308 | [ IDENT "print" ]; name = QSTRING -> GrafiteAst.Print (loc, name)
312 [ IDENT "id"; id = QSTRING; SYMBOL "="; uri = QSTRING ->
313 let alpha = "[a-zA-Z]" in
314 let num = "[0-9]+" in
315 let ident_cont = "\\("^alpha^"\\|"^num^"\\|_\\|\\\\\\)" in
316 let ident = "\\("^alpha^ident_cont^"*\\|_"^ident_cont^"+\\)" in
317 let rex = Str.regexp ("^"^ident^"$") in
318 if Str.string_match rex id 0 then
319 if (try ignore (UriManager.uri_of_string uri); true
320 with UriManager.IllFormedUri _ -> false)
322 GrafiteAst.Ident_alias (id, uri)
324 raise (CicNotationParser.Parse_error (loc,sprintf "Not a valid uri: %s" uri))
326 raise (CicNotationParser.Parse_error (loc,
327 sprintf "Not a valid identifier: %s" id))
328 | IDENT "symbol"; symbol = QSTRING;
329 instance = OPT [ LPAREN; IDENT "instance"; n = int; RPAREN -> n ];
330 SYMBOL "="; dsc = QSTRING ->
332 match instance with Some i -> i | None -> 0
334 GrafiteAst.Symbol_alias (symbol, instance, dsc)
336 instance = OPT [ LPAREN; IDENT "instance"; n = int; RPAREN -> n ];
337 SYMBOL "="; dsc = QSTRING ->
339 match instance with Some i -> i | None -> 0
341 GrafiteAst.Number_alias (instance, dsc)
345 [ id = IDENT -> CicNotationPt.IdentArg (0, id)
346 | l = LIST1 [ SYMBOL <:unicode<eta>> (* η *) -> () ] SEP SYMBOL ".";
347 SYMBOL "."; id = IDENT ->
348 CicNotationPt.IdentArg (List.length l, id)
352 [ IDENT "left"; IDENT "associative" -> Gramext.LeftA
353 | IDENT "right"; IDENT "associative" -> Gramext.RightA
354 | IDENT "non"; IDENT "associative" -> Gramext.NonA
358 [ "with"; IDENT "precedence"; n = NUMBER -> int_of_string n ]
362 assoc = OPT associativity; prec = OPT precedence;
365 [ blob = UNPARSED_AST ->
366 add_raw_attribute ~text:(sprintf "@{%s}" blob)
367 (CicNotationParser.parse_level2_ast (Stream.of_string blob))
368 | blob = UNPARSED_META ->
369 add_raw_attribute ~text:(sprintf "${%s}" blob)
370 (CicNotationParser.parse_level2_meta (Stream.of_string blob))
374 | None -> default_associativity
375 | Some assoc -> assoc
379 | None -> default_precedence
382 (add_raw_attribute ~text:s
383 (CicNotationParser.parse_level1_pattern (Stream.of_string s)),
388 [ u = URI -> CicNotationPt.UriPattern (UriManager.uri_of_string u)
389 | id = IDENT -> CicNotationPt.VarPattern id
390 | SYMBOL "_" -> CicNotationPt.ImplicitPattern
391 | LPAREN; terms = LIST1 SELF; RPAREN ->
395 | terms -> CicNotationPt.ApplPattern terms)
399 [ s = CSYMBOL; args = LIST1 argument; SYMBOL "="; t = level3_term ->
404 IDENT "set"; n = QSTRING; v = QSTRING ->
405 GrafiteAst.Set (loc, n, v)
406 | IDENT "drop" -> GrafiteAst.Drop loc
407 | IDENT "qed" -> GrafiteAst.Qed loc
408 | IDENT "variant" ; name = IDENT; SYMBOL ":";
409 typ = term; SYMBOL <:unicode<def>> ; newname = IDENT ->
412 (`Variant,name,typ,Some (CicNotationPt.Ident (newname, None))))
413 | flavour = theorem_flavour; name = IDENT; SYMBOL ":"; typ = term;
414 body = OPT [ SYMBOL <:unicode<def>> (* ≝ *); body = term -> body ] ->
415 GrafiteAst.Obj (loc,GrafiteAst.Theorem (flavour, name, typ, body))
416 | flavour = theorem_flavour; name = IDENT;
417 body = OPT [ SYMBOL <:unicode<def>> (* ≝ *); body = term -> body ] ->
419 GrafiteAst.Theorem (flavour, name, CicNotationPt.Implicit, body))
420 | "let"; ind_kind = [ "corec" -> `CoInductive | "rec"-> `Inductive ];
421 defs = CicNotationParser.let_defs ->
424 | ((CicNotationPt.Ident (name, None), Some ty),_,_) :: _ -> name,ty
425 | ((CicNotationPt.Ident (name, None), None),_,_) :: _ ->
426 name, CicNotationPt.Implicit
429 let body = CicNotationPt.Ident (name,None) in
430 GrafiteAst.Obj (loc,GrafiteAst.Theorem(`Definition, name, ty,
431 Some (CicNotationPt.LetRec (ind_kind, defs, body))))
432 | [ IDENT "inductive" ]; spec = inductive_spec ->
433 let (params, ind_types) = spec in
434 GrafiteAst.Obj (loc,GrafiteAst.Inductive (params, ind_types))
435 | [ IDENT "coinductive" ]; spec = inductive_spec ->
436 let (params, ind_types) = spec in
437 let ind_types = (* set inductive flags to false (coinductive) *)
438 List.map (fun (name, _, term, ctors) -> (name, false, term, ctors))
441 GrafiteAst.Obj (loc,GrafiteAst.Inductive (params, ind_types))
442 | IDENT "coercion" ; name = IDENT ->
443 GrafiteAst.Coercion (loc, CicNotationPt.Ident (name,Some []))
444 | IDENT "coercion" ; name = URI ->
445 GrafiteAst.Coercion (loc, CicNotationPt.Uri (name,Some []))
446 | IDENT "alias" ; spec = alias_spec ->
447 GrafiteAst.Alias (loc, spec)
448 | IDENT "record" ; (params,name,ty,fields) = record_spec ->
449 GrafiteAst.Obj (loc,GrafiteAst.Record (params,name,ty,fields))
450 | IDENT "include" ; path = QSTRING ->
451 GrafiteAst.Include (loc,path)
452 | IDENT "default" ; what = QSTRING ; uris = LIST1 URI ->
453 let uris = List.map UriManager.uri_of_string uris in
454 GrafiteAst.Default (loc,what,uris)
455 | IDENT "notation"; (l1, assoc, prec, l2) = notation ->
456 GrafiteAst.Notation (loc, l1, assoc, prec, l2)
457 | IDENT "interpretation"; id = QSTRING;
458 (symbol, args, l3) = interpretation ->
459 GrafiteAst.Interpretation (loc, id, (symbol, args), l3)
461 | IDENT "dump" -> GrafiteAst.Dump loc
462 | IDENT "render"; u = URI ->
463 GrafiteAst.Render (loc, UriManager.uri_of_string u)
466 [ cmd = command; SYMBOL "." -> GrafiteAst.Command (loc, cmd)
467 | tac = tactical; SYMBOL "." -> GrafiteAst.Tactical (loc, tac)
468 | mac = macro; SYMBOL "." -> GrafiteAst.Macro (loc, mac)
472 [ BEGINCOMMENT ; ex = executable ; ENDCOMMENT ->
473 GrafiteAst.Code (loc, ex)
475 GrafiteAst.Note (loc, str)
479 [ ex = executable -> GrafiteAst.Executable (loc,ex)
480 | com = comment -> GrafiteAst.Comment (loc, com)
481 | EOI -> raise End_of_file
486 let exc_located_wrapper f =
490 | Stdpp.Exc_located (_, End_of_file) -> raise End_of_file
491 | Stdpp.Exc_located (floc, Stream.Error msg) ->
492 raise (CicNotationParser.Parse_error (floc, msg))
493 | Stdpp.Exc_located (floc, exn) ->
494 raise (CicNotationParser.Parse_error (floc, (Printexc.to_string exn)))
496 let parse_statement stream =
497 exc_located_wrapper (fun () -> (Grammar.Entry.parse statement stream))