--- /dev/null
+(* Copyright (C) 2005, HELM Team.
+ *
+ * This file is part of HELM, an Hypertextual, Electronic
+ * Library of Mathematics, developed at the Computer Science
+ * Department, University of Bologna, Italy.
+ *
+ * HELM is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+ *
+ * HELM is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with HELM; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+ * MA 02111-1307, USA.
+ *
+ * For details, see the HELM World-Wide-Web page,
+ * http://helm.cs.unibo.it/
+ *)
+
+(* $Id$ *)
+
+let out = ref ignore
+let set_callback f = out := f
+
+module Ast = CicNotationPt
+
+exception NoInclusionPerformed of string (* full path *)
+
+type 'a localized_option =
+ LSome of 'a
+ | LNone of GrafiteAst.loc
+
+type ast_statement =
+ (CicNotationPt.term, CicNotationPt.term,
+ CicNotationPt.term GrafiteAst.reduction,
+ CicNotationPt.term CicNotationPt.obj, string)
+ GrafiteAst.statement
+
+type statement =
+ ?never_include:bool ->
+ include_paths:string list ->
+ LexiconEngine.status ->
+ LexiconEngine.status * ast_statement localized_option
+
+let grammar = CicNotationParser.level2_ast_grammar
+
+let term = CicNotationParser.term
+let statement = Grammar.Entry.create grammar "statement"
+
+let add_raw_attribute ~text t = Ast.AttributedTerm (`Raw text, t)
+
+let default_precedence = 50
+let default_associativity = Gramext.NonA
+
+type by_continuation =
+ BYC_done
+ | BYC_weproved of CicNotationPt.term * string option * CicNotationPt.term option
+ | BYC_letsuchthat of string * CicNotationPt.term * string * CicNotationPt.term
+ | BYC_wehaveand of string * CicNotationPt.term * string * CicNotationPt.term
+
+EXTEND
+ GLOBAL: term statement;
+ constructor: [ [ name = IDENT; SYMBOL ":"; typ = term -> (name, typ) ] ];
+ tactic_term: [ [ t = term LEVEL "90N" -> t ] ];
+ new_name: [
+ [ id = IDENT -> Some id
+ | SYMBOL "_" -> None ]
+ ];
+ ident_list0: [ [ LPAREN; idents = LIST0 new_name; RPAREN -> idents ] ];
+ tactic_term_list1: [
+ [ tactic_terms = LIST1 tactic_term SEP SYMBOL "," -> tactic_terms ]
+ ];
+ reduction_kind: [
+ [ IDENT "normalize" -> `Normalize
+ | IDENT "simplify" -> `Simpl
+ | IDENT "unfold"; t = OPT tactic_term -> `Unfold t
+ | IDENT "whd" -> `Whd ]
+ ];
+ sequent_pattern_spec: [
+ [ hyp_paths =
+ LIST0
+ [ id = IDENT ;
+ path = OPT [SYMBOL ":" ; path = tactic_term -> path ] ->
+ (id,match path with Some p -> p | None -> Ast.UserInput) ];
+ goal_path = OPT [ SYMBOL <:unicode<vdash>>; term = tactic_term -> term ] ->
+ let goal_path =
+ match goal_path, hyp_paths with
+ None, [] -> Some Ast.UserInput
+ | None, _::_ -> None
+ | Some goal_path, _ -> Some goal_path
+ in
+ hyp_paths,goal_path
+ ]
+ ];
+ pattern_spec: [
+ [ res = OPT [
+ "in";
+ wanted_and_sps =
+ [ "match" ; wanted = tactic_term ;
+ sps = OPT [ "in"; sps = sequent_pattern_spec -> sps ] ->
+ Some wanted,sps
+ | sps = sequent_pattern_spec ->
+ None,Some sps
+ ] ->
+ let wanted,hyp_paths,goal_path =
+ match wanted_and_sps with
+ wanted,None -> wanted, [], Some Ast.UserInput
+ | wanted,Some (hyp_paths,goal_path) -> wanted,hyp_paths,goal_path
+ in
+ wanted, hyp_paths, goal_path ] ->
+ match res with
+ None -> None,[],Some Ast.UserInput
+ | Some ps -> ps]
+ ];
+ direction: [
+ [ SYMBOL ">" -> `LeftToRight
+ | SYMBOL "<" -> `RightToLeft ]
+ ];
+ int: [ [ num = NUMBER -> int_of_string num ] ];
+ intros_names: [
+ [ idents = OPT ident_list0 ->
+ match idents with None -> [] | Some idents -> idents
+ ]
+ ];
+ intros_spec: [
+ [ OPT [ IDENT "names" ];
+ num = OPT [ num = int -> num ];
+ idents = intros_names ->
+ num, idents
+ ]
+ ];
+ using: [ [ using = OPT [ IDENT "using"; t = tactic_term -> t ] -> using ] ];
+ tactic: [
+ [ IDENT "absurd"; t = tactic_term ->
+ GrafiteAst.Absurd (loc, t)
+ | IDENT "apply"; t = tactic_term ->
+ GrafiteAst.Apply (loc, t)
+ | IDENT "applyS"; t = tactic_term ; params = auto_params ->
+ GrafiteAst.ApplyS (loc, t, params)
+ | IDENT "assumption" ->
+ GrafiteAst.Assumption loc
+ | IDENT "autobatch"; params = auto_params ->
+ GrafiteAst.AutoBatch (loc,params)
+ | IDENT "cases"; what = tactic_term;
+ specs = intros_spec ->
+ GrafiteAst.Cases (loc, what, specs)
+ | IDENT "clear"; ids = LIST1 IDENT ->
+ GrafiteAst.Clear (loc, ids)
+ | IDENT "clearbody"; id = IDENT ->
+ GrafiteAst.ClearBody (loc,id)
+ | IDENT "change"; what = pattern_spec; "with"; t = tactic_term ->
+ GrafiteAst.Change (loc, what, t)
+ | IDENT "compose"; times = OPT int; t1 = tactic_term; t2 =
+ OPT [ "with"; t = tactic_term -> t ]; specs = intros_spec ->
+ let times = match times with None -> 1 | Some i -> i in
+ GrafiteAst.Compose (loc, t1, t2, times, specs)
+ | IDENT "constructor"; n = int ->
+ GrafiteAst.Constructor (loc, n)
+ | IDENT "contradiction" ->
+ GrafiteAst.Contradiction loc
+ | IDENT "cut"; t = tactic_term; ident = OPT [ "as"; id = IDENT -> id] ->
+ GrafiteAst.Cut (loc, ident, t)
+ | IDENT "decompose"; idents = OPT [ "as"; idents = LIST1 new_name -> idents ] ->
+ let idents = match idents with None -> [] | Some idents -> idents in
+ GrafiteAst.Decompose (loc, idents)
+ | IDENT "demodulate"; p = auto_params -> GrafiteAst.Demodulate (loc, p)
+ | IDENT "destruct"; xts = OPT [ ts = tactic_term_list1 -> ts ] ->
+ GrafiteAst.Destruct (loc, xts)
+ | IDENT "elim"; what = tactic_term; using = using;
+ pattern = OPT pattern_spec;
+ (num, idents) = intros_spec ->
+ let pattern = match pattern with
+ | None -> None, [], Some Ast.UserInput
+ | Some pattern -> pattern
+ in
+ GrafiteAst.Elim (loc, what, using, pattern, (num, idents))
+ | IDENT "elimType"; what = tactic_term; using = using;
+ (num, idents) = intros_spec ->
+ GrafiteAst.ElimType (loc, what, using, (num, idents))
+ | IDENT "exact"; t = tactic_term ->
+ GrafiteAst.Exact (loc, t)
+ | IDENT "exists" ->
+ GrafiteAst.Exists loc
+ | IDENT "fail" -> GrafiteAst.Fail loc
+ | IDENT "fold"; kind = reduction_kind; t = tactic_term; p = pattern_spec ->
+ let (pt,_,_) = p in
+ if pt <> None then
+ raise (HExtlib.Localized (loc, CicNotationParser.Parse_error
+ ("the pattern cannot specify the term to replace, only its"
+ ^ " paths in the hypotheses and in the conclusion")))
+ else
+ GrafiteAst.Fold (loc, kind, t, p)
+ | IDENT "fourier" ->
+ GrafiteAst.Fourier loc
+ | IDENT "fwd"; hyp = IDENT; idents = OPT [ "as"; idents = LIST1 new_name -> idents ] ->
+ let idents = match idents with None -> [] | Some idents -> idents in
+ GrafiteAst.FwdSimpl (loc, hyp, idents)
+ | IDENT "generalize"; p=pattern_spec; id = OPT ["as" ; id = IDENT -> id] ->
+ GrafiteAst.Generalize (loc,p,id)
+ | IDENT "id" -> GrafiteAst.IdTac loc
+ | IDENT "intro"; ident = OPT IDENT ->
+ let idents = match ident with None -> [] | Some id -> [Some id] in
+ GrafiteAst.Intros (loc, (Some 1, idents))
+ | IDENT "intros"; specs = intros_spec ->
+ GrafiteAst.Intros (loc, specs)
+ | IDENT "inversion"; t = tactic_term ->
+ GrafiteAst.Inversion (loc, t)
+ | IDENT "lapply";
+ linear = OPT [ IDENT "linear" ];
+ depth = OPT [ IDENT "depth"; SYMBOL "="; i = int -> i ];
+ what = tactic_term;
+ to_what = OPT [ "to" ; t = tactic_term_list1 -> t ];
+ ident = OPT [ "as" ; ident = IDENT -> ident ] ->
+ let linear = match linear with None -> false | Some _ -> true in
+ let to_what = match to_what with None -> [] | Some to_what -> to_what in
+ GrafiteAst.LApply (loc, linear, depth, to_what, what, ident)
+ | IDENT "left" -> GrafiteAst.Left loc
+ | IDENT "letin"; where = IDENT ; SYMBOL <:unicode<def>> ; t = tactic_term ->
+ GrafiteAst.LetIn (loc, t, where)
+ | kind = reduction_kind; p = pattern_spec ->
+ GrafiteAst.Reduce (loc, kind, p)
+ | IDENT "reflexivity" ->
+ GrafiteAst.Reflexivity loc
+ | IDENT "replace"; p = pattern_spec; "with"; t = tactic_term ->
+ GrafiteAst.Replace (loc, p, t)
+ | IDENT "rewrite" ; d = direction; t = tactic_term ; p = pattern_spec;
+ xnames = OPT [ "as"; n = ident_list0 -> n ] ->
+ let (pt,_,_) = p in
+ if pt <> None then
+ raise
+ (HExtlib.Localized (loc,
+ (CicNotationParser.Parse_error
+ "the pattern cannot specify the term to rewrite, only its paths in the hypotheses and in the conclusion")))
+ else
+ let n = match xnames with None -> [] | Some names -> names in
+ GrafiteAst.Rewrite (loc, d, t, p, n)
+ | IDENT "right" ->
+ GrafiteAst.Right loc
+ | IDENT "ring" ->
+ GrafiteAst.Ring loc
+ | IDENT "split" ->
+ GrafiteAst.Split loc
+ | IDENT "symmetry" ->
+ GrafiteAst.Symmetry loc
+ | IDENT "transitivity"; t = tactic_term ->
+ GrafiteAst.Transitivity (loc, t)
+ (* Produzioni Aggiunte *)
+ | IDENT "assume" ; id = IDENT ; SYMBOL ":" ; t = tactic_term ->
+ GrafiteAst.Assume (loc, id, t)
+ | IDENT "suppose" ; t = tactic_term ; LPAREN ; id = IDENT ; RPAREN ; t1 = OPT [IDENT "that" ; IDENT "is" ; IDENT "equivalent" ; "to" ; t' = tactic_term -> t']->
+ GrafiteAst.Suppose (loc, t, id, t1)
+ | "by" ; t = [t' = tactic_term -> LSome t' | SYMBOL "_" -> LNone loc];
+ cont=by_continuation ->
+ let t' = match t with LNone _ -> None | LSome t -> Some t in
+ (match cont with
+ BYC_done -> GrafiteAst.Bydone (loc, t')
+ | BYC_weproved (ty,id,t1) ->
+ GrafiteAst.By_term_we_proved(loc, t', ty, id, t1)
+ | BYC_letsuchthat (id1,t1,id2,t2) ->
+ (* (match t with
+ LNone floc ->
+ raise (HExtlib.Localized
+ (floc,CicNotationParser.Parse_error
+ "tactic_term expected here"))
+ | LSome t ->*) GrafiteAst.ExistsElim (loc, t', id1, t1, id2, t2)(*)*)
+ | BYC_wehaveand (id1,t1,id2,t2) ->
+ (match t with
+ LNone floc ->
+ raise (HExtlib.Localized
+ (floc,CicNotationParser.Parse_error
+ "tactic_term expected here"))
+ | LSome t -> GrafiteAst.AndElim (loc, t, id1, t1, id2, t2)))
+ | 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']->
+ GrafiteAst.We_need_to_prove (loc, t, id, t1)
+ | IDENT "we" ; IDENT "proceed" ; "by" ; IDENT "cases" ; "on" ; t=tactic_term ; "to" ; IDENT "prove" ; t1=tactic_term ->
+ GrafiteAst.We_proceed_by_cases_on (loc, t, t1)
+ | IDENT "we" ; IDENT "proceed" ; "by" ; IDENT "induction" ; "on" ; t=tactic_term ; "to" ; IDENT "prove" ; t1=tactic_term ->
+ GrafiteAst.We_proceed_by_induction_on (loc, t, t1)
+ | "by" ; IDENT "induction" ; IDENT "hypothesis" ; IDENT "we" ; IDENT "know" ; t=tactic_term ; LPAREN ; id = IDENT ; RPAREN ->
+ GrafiteAst.Byinduction(loc, t, id)
+ | IDENT "the" ; IDENT "thesis" ; IDENT "becomes" ; t=tactic_term ->
+ GrafiteAst.Thesisbecomes(loc, t)
+ | IDENT "case" ; id = IDENT ; params=LIST0[LPAREN ; i=IDENT ;
+ SYMBOL":" ; t=tactic_term ; RPAREN -> i,t] ->
+ GrafiteAst.Case(loc,id,params)
+ | start = OPT [
+ start =
+ [ IDENT "conclude" -> None
+ | IDENT "obtain" ; name = IDENT -> Some name ] ;
+ termine = tactic_term -> start, termine];
+ SYMBOL "=" ;
+ t1=tactic_term ;
+ t2 =
+ [ IDENT "exact"; t=tactic_term -> `Term t
+ | IDENT "using"; term=tactic_term -> `SolveWith term
+ | IDENT "proof" -> `Proof
+ | params = auto_params -> `Auto params];
+ cont = rewriting_step_continuation ->
+ GrafiteAst.RewritingStep(loc, start, t1, t2, cont)
+ ]
+];
+ auto_params: [
+ [ params =
+ LIST0 [ i = IDENT -> i,"" | i = IDENT ; SYMBOL "="; v = [ v = int ->
+ string_of_int v | v = IDENT -> v ] -> i,v ];
+ tl = OPT [ "by"; tl = LIST1 tactic_term -> tl] ->
+ (match tl with Some l -> l | None -> []),
+ params
+ ]
+];
+ by_continuation: [
+ [ 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)
+ | IDENT "we" ; IDENT "proved" ; ty = tactic_term ; t1 = OPT [IDENT "that" ; IDENT "is" ; IDENT "equivalent" ; "to" ; t2 = tactic_term -> t2] ;
+ "done" -> BYC_weproved (ty,None,t1)
+ | "done" -> BYC_done
+ | "let" ; id1 = IDENT ; SYMBOL ":" ; t1 = tactic_term ;
+ IDENT "such" ; IDENT "that" ; t2=tactic_term ; LPAREN ; id2 = IDENT ; RPAREN -> BYC_letsuchthat (id1,t1,id2,t2)
+ | IDENT "we" ; IDENT "have" ; t1=tactic_term ; LPAREN ; id1=IDENT ; RPAREN ;"and" ; t2=tactic_term ; LPAREN ; id2=IDENT ; RPAREN ->
+ BYC_wehaveand (id1,t1,id2,t2)
+ ]
+];
+ rewriting_step_continuation : [
+ [ "done" -> true
+ | -> false
+ ]
+];
+ atomic_tactical:
+ [ "sequence" LEFTA
+ [ t1 = SELF; SYMBOL ";"; t2 = SELF ->
+ let ts =
+ match t1 with
+ | GrafiteAst.Seq (_, l) -> l @ [ t2 ]
+ | _ -> [ t1; t2 ]
+ in
+ GrafiteAst.Seq (loc, ts)
+ ]
+ | "then" NONA
+ [ tac = SELF; SYMBOL ";";
+ SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
+ (GrafiteAst.Then (loc, tac, tacs))
+ ]
+ | "loops" RIGHTA
+ [ IDENT "do"; count = int; tac = SELF ->
+ GrafiteAst.Do (loc, count, tac)
+ | IDENT "repeat"; tac = SELF -> GrafiteAst.Repeat (loc, tac)
+ ]
+ | "simple" NONA
+ [ IDENT "first";
+ SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
+ GrafiteAst.First (loc, tacs)
+ | IDENT "try"; tac = SELF -> GrafiteAst.Try (loc, tac)
+ | IDENT "solve";
+ SYMBOL "["; tacs = LIST0 SELF SEP SYMBOL "|"; SYMBOL "]"->
+ GrafiteAst.Solve (loc, tacs)
+ | IDENT "progress"; tac = SELF -> GrafiteAst.Progress (loc, tac)
+ | LPAREN; tac = SELF; RPAREN -> tac
+ | tac = tactic -> tac
+ ]
+ ];
+ punctuation_tactical:
+ [
+ [ SYMBOL "[" -> GrafiteAst.Branch loc
+ | SYMBOL "|" -> GrafiteAst.Shift loc
+ | i = LIST1 int SEP SYMBOL ","; SYMBOL ":" -> GrafiteAst.Pos (loc, i)
+ | SYMBOL "*"; SYMBOL ":" -> GrafiteAst.Wildcard loc
+ | SYMBOL "]" -> GrafiteAst.Merge loc
+ | SYMBOL ";" -> GrafiteAst.Semicolon loc
+ | SYMBOL "." -> GrafiteAst.Dot loc
+ ]
+ ];
+ non_punctuation_tactical:
+ [ "simple" NONA
+ [ IDENT "focus"; goals = LIST1 int -> GrafiteAst.Focus (loc, goals)
+ | IDENT "unfocus" -> GrafiteAst.Unfocus loc
+ | IDENT "skip" -> GrafiteAst.Skip loc
+ ]
+ ];
+ theorem_flavour: [
+ [ [ IDENT "definition" ] -> `Definition
+ | [ IDENT "fact" ] -> `Fact
+ | [ IDENT "lemma" ] -> `Lemma
+ | [ IDENT "remark" ] -> `Remark
+ | [ IDENT "theorem" ] -> `Theorem
+ ]
+ ];
+ inductive_spec: [ [
+ fst_name = IDENT; params = LIST0 CicNotationParser.protected_binder_vars;
+ SYMBOL ":"; fst_typ = term; SYMBOL <:unicode<def>>; OPT SYMBOL "|";
+ fst_constructors = LIST0 constructor SEP SYMBOL "|";
+ tl = OPT [ "with";
+ types = LIST1 [
+ name = IDENT; SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>;
+ OPT SYMBOL "|"; constructors = LIST0 constructor SEP SYMBOL "|" ->
+ (name, true, typ, constructors) ] SEP "with" -> types
+ ] ->
+ let params =
+ List.fold_right
+ (fun (names, typ) acc ->
+ (List.map (fun name -> (name, typ)) names) @ acc)
+ params []
+ in
+ let fst_ind_type = (fst_name, true, fst_typ, fst_constructors) in
+ let tl_ind_types = match tl with None -> [] | Some types -> types in
+ let ind_types = fst_ind_type :: tl_ind_types in
+ (params, ind_types)
+ ] ];
+
+ record_spec: [ [
+ name = IDENT; params = LIST0 CicNotationParser.protected_binder_vars ;
+ SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>; SYMBOL "{" ;
+ fields = LIST0 [
+ name = IDENT ;
+ coercion = [
+ SYMBOL ":" -> false,0
+ | SYMBOL ":"; SYMBOL ">" -> true,0
+ | SYMBOL ":"; arity = int ; SYMBOL ">" -> true,arity
+ ];
+ ty = term ->
+ let b,n = coercion in
+ (name,ty,b,n)
+ ] SEP SYMBOL ";"; SYMBOL "}" ->
+ let params =
+ List.fold_right
+ (fun (names, typ) acc ->
+ (List.map (fun name -> (name, typ)) names) @ acc)
+ params []
+ in
+ (params,name,typ,fields)
+ ] ];
+
+ macro: [
+ [ [ IDENT "check" ]; t = term ->
+ GrafiteAst.Check (loc, t)
+ | [ IDENT "inline"];
+ style = OPT [ IDENT "procedural"; depth = OPT int -> depth ];
+ suri = QSTRING; prefix = OPT QSTRING ->
+ let style = match style with
+ | None -> GrafiteAst.Declarative
+ | Some depth -> GrafiteAst.Procedural depth
+ in
+ let prefix = match prefix with None -> "" | Some prefix -> prefix in
+ GrafiteAst.Inline (loc,style,suri,prefix)
+ | [ IDENT "hint" ]; rew = OPT (IDENT "rewrite") ->
+ if rew = None then GrafiteAst.Hint (loc, false) else GrafiteAst.Hint (loc,true)
+ | IDENT "auto"; params = auto_params ->
+ GrafiteAst.AutoInteractive (loc,params)
+ | [ IDENT "whelp"; "match" ] ; t = term ->
+ GrafiteAst.WMatch (loc,t)
+ | [ IDENT "whelp"; IDENT "instance" ] ; t = term ->
+ GrafiteAst.WInstance (loc,t)
+ | [ IDENT "whelp"; IDENT "locate" ] ; id = QSTRING ->
+ GrafiteAst.WLocate (loc,id)
+ | [ IDENT "whelp"; IDENT "elim" ] ; t = term ->
+ GrafiteAst.WElim (loc, t)
+ | [ IDENT "whelp"; IDENT "hint" ] ; t = term ->
+ GrafiteAst.WHint (loc,t)
+ ]
+ ];
+ alias_spec: [
+ [ IDENT "id"; id = QSTRING; SYMBOL "="; uri = QSTRING ->
+ let alpha = "[a-zA-Z]" in
+ let num = "[0-9]+" in
+ let ident_cont = "\\("^alpha^"\\|"^num^"\\|_\\|\\\\\\)" in
+ let ident = "\\("^alpha^ident_cont^"*\\|_"^ident_cont^"+\\)" in
+ let rex = Str.regexp ("^"^ident^"$") in
+ if Str.string_match rex id 0 then
+ if (try ignore (UriManager.uri_of_string uri); true
+ with UriManager.IllFormedUri _ -> false)
+ then
+ LexiconAst.Ident_alias (id, uri)
+ else
+ raise
+ (HExtlib.Localized (loc, CicNotationParser.Parse_error (Printf.sprintf "Not a valid uri: %s" uri)))
+ else
+ raise (HExtlib.Localized (loc, CicNotationParser.Parse_error (
+ Printf.sprintf "Not a valid identifier: %s" id)))
+ | IDENT "symbol"; symbol = QSTRING;
+ instance = OPT [ LPAREN; IDENT "instance"; n = int; RPAREN -> n ];
+ SYMBOL "="; dsc = QSTRING ->
+ let instance =
+ match instance with Some i -> i | None -> 0
+ in
+ LexiconAst.Symbol_alias (symbol, instance, dsc)
+ | IDENT "num";
+ instance = OPT [ LPAREN; IDENT "instance"; n = int; RPAREN -> n ];
+ SYMBOL "="; dsc = QSTRING ->
+ let instance =
+ match instance with Some i -> i | None -> 0
+ in
+ LexiconAst.Number_alias (instance, dsc)
+ ]
+ ];
+ argument: [
+ [ l = LIST0 [ SYMBOL <:unicode<eta>> (* η *); SYMBOL "." -> () ];
+ id = IDENT ->
+ Ast.IdentArg (List.length l, id)
+ ]
+ ];
+ associativity: [
+ [ IDENT "left"; IDENT "associative" -> Gramext.LeftA
+ | IDENT "right"; IDENT "associative" -> Gramext.RightA
+ | IDENT "non"; IDENT "associative" -> Gramext.NonA
+ ]
+ ];
+ precedence: [
+ [ "with"; IDENT "precedence"; n = NUMBER -> int_of_string n ]
+ ];
+ notation: [
+ [ dir = OPT direction; s = QSTRING;
+ assoc = OPT associativity; prec = OPT precedence;
+ IDENT "for";
+ p2 =
+ [ blob = UNPARSED_AST ->
+ add_raw_attribute ~text:(Printf.sprintf "@{%s}" blob)
+ (CicNotationParser.parse_level2_ast
+ (Ulexing.from_utf8_string blob))
+ | blob = UNPARSED_META ->
+ add_raw_attribute ~text:(Printf.sprintf "${%s}" blob)
+ (CicNotationParser.parse_level2_meta
+ (Ulexing.from_utf8_string blob))
+ ] ->
+ let assoc =
+ match assoc with
+ | None -> default_associativity
+ | Some assoc -> assoc
+ in
+ let prec =
+ match prec with
+ | None -> default_precedence
+ | Some prec -> prec
+ in
+ let p1 =
+ add_raw_attribute ~text:s
+ (CicNotationParser.parse_level1_pattern
+ (Ulexing.from_utf8_string s))
+ in
+ (dir, p1, assoc, prec, p2)
+ ]
+ ];
+ level3_term: [
+ [ u = URI -> Ast.UriPattern (UriManager.uri_of_string u)
+ | id = IDENT -> Ast.VarPattern id
+ | SYMBOL "_" -> Ast.ImplicitPattern
+ | LPAREN; terms = LIST1 SELF; RPAREN ->
+ (match terms with
+ | [] -> assert false
+ | [term] -> term
+ | terms -> Ast.ApplPattern terms)
+ ]
+ ];
+ interpretation: [
+ [ s = CSYMBOL; args = LIST0 argument; SYMBOL "="; t = level3_term ->
+ (s, args, t)
+ ]
+ ];
+
+ include_command: [ [
+ IDENT "include" ; path = QSTRING ->
+ loc,path,LexiconAst.WithPreferences
+ | IDENT "include'" ; path = QSTRING ->
+ loc,path,LexiconAst.WithoutPreferences
+ ]];
+
+ grafite_command: [ [
+ IDENT "set"; n = QSTRING; v = QSTRING ->
+ GrafiteAst.Set (loc, n, v)
+ | IDENT "drop" -> GrafiteAst.Drop loc
+ | IDENT "print"; s = IDENT -> GrafiteAst.Print (loc,s)
+ | IDENT "qed" -> GrafiteAst.Qed loc
+ | IDENT "variant" ; name = IDENT; SYMBOL ":";
+ typ = term; SYMBOL <:unicode<def>> ; newname = IDENT ->
+ GrafiteAst.Obj (loc,
+ Ast.Theorem
+ (`Variant,name,typ,Some (Ast.Ident (newname, None))))
+ | flavour = theorem_flavour; name = IDENT; SYMBOL ":"; typ = term;
+ body = OPT [ SYMBOL <:unicode<def>> (* ≝ *); body = term -> body ] ->
+ GrafiteAst.Obj (loc, Ast.Theorem (flavour, name, typ, body))
+ | flavour = theorem_flavour; name = IDENT; SYMBOL <:unicode<def>> (* ≝ *);
+ body = term ->
+ GrafiteAst.Obj (loc,
+ Ast.Theorem (flavour, name, Ast.Implicit, Some body))
+ | IDENT "axiom"; name = IDENT; SYMBOL ":"; typ = term ->
+ GrafiteAst.Obj (loc, Ast.Theorem (`Axiom, name, typ, None))
+ | "let"; ind_kind = [ "corec" -> `CoInductive | "rec"-> `Inductive ];
+ defs = CicNotationParser.let_defs ->
+ (* In case of mutual definitions here we produce just
+ the syntax tree for the first one. The others will be
+ generated from the completely specified term just before
+ insertion in the environment. We use the flavour
+ `MutualDefinition to rememer this. *)
+ let name,ty =
+ match defs with
+ | (params,(Ast.Ident (name, None), Some ty),_,_) :: _ ->
+ let ty =
+ List.fold_right
+ (fun var ty -> Ast.Binder (`Pi,var,ty)
+ ) params ty
+ in
+ name,ty
+ | (_,(Ast.Ident (name, None), None),_,_) :: _ ->
+ name, Ast.Implicit
+ | _ -> assert false
+ in
+ let body = Ast.Ident (name,None) in
+ let flavour =
+ if List.length defs = 1 then
+ `Definition
+ else
+ `MutualDefinition
+ in
+ GrafiteAst.Obj (loc, Ast.Theorem(flavour, name, ty,
+ Some (Ast.LetRec (ind_kind, defs, body))))
+ | IDENT "inductive"; spec = inductive_spec ->
+ let (params, ind_types) = spec in
+ GrafiteAst.Obj (loc, Ast.Inductive (params, ind_types))
+ | IDENT "coinductive"; spec = inductive_spec ->
+ let (params, ind_types) = spec in
+ let ind_types = (* set inductive flags to false (coinductive) *)
+ List.map (fun (name, _, term, ctors) -> (name, false, term, ctors))
+ ind_types
+ in
+ GrafiteAst.Obj (loc, Ast.Inductive (params, ind_types))
+ | IDENT "coercion" ; suri = URI ; arity = OPT int ;
+ saturations = OPT int; composites = OPT (IDENT "nocomposites") ->
+ let arity = match arity with None -> 0 | Some x -> x in
+ let saturations = match saturations with None -> 0 | Some x -> x in
+ let composites = match composites with None -> true | Some _ -> false in
+ GrafiteAst.Coercion
+ (loc, UriManager.uri_of_string suri, composites, arity, saturations)
+ | IDENT "record" ; (params,name,ty,fields) = record_spec ->
+ GrafiteAst.Obj (loc, Ast.Record (params,name,ty,fields))
+ | IDENT "default" ; what = QSTRING ; uris = LIST1 URI ->
+ let uris = List.map UriManager.uri_of_string uris in
+ GrafiteAst.Default (loc,what,uris)
+ | IDENT "relation" ; aeq = tactic_term ; "on" ; a = tactic_term ;
+ refl = OPT [ IDENT "reflexivity" ; IDENT "proved" ; "by" ;
+ refl = tactic_term -> refl ] ;
+ sym = OPT [ IDENT "symmetry" ; IDENT "proved" ; "by" ;
+ sym = tactic_term -> sym ] ;
+ trans = OPT [ IDENT "transitivity" ; IDENT "proved" ; "by" ;
+ trans = tactic_term -> trans ] ;
+ "as" ; id = IDENT ->
+ GrafiteAst.Relation (loc,id,a,aeq,refl,sym,trans)
+ ]];
+ lexicon_command: [ [
+ IDENT "alias" ; spec = alias_spec ->
+ LexiconAst.Alias (loc, spec)
+ | IDENT "notation"; (dir, l1, assoc, prec, l2) = notation ->
+ LexiconAst.Notation (loc, dir, l1, assoc, prec, l2)
+ | IDENT "interpretation"; id = QSTRING;
+ (symbol, args, l3) = interpretation ->
+ LexiconAst.Interpretation (loc, id, (symbol, args), l3)
+ ]];
+ executable: [
+ [ cmd = grafite_command; SYMBOL "." -> GrafiteAst.Command (loc, cmd)
+ | tac = atomic_tactical LEVEL "loops"; punct = punctuation_tactical ->
+ GrafiteAst.Tactic (loc, Some tac, punct)
+ | punct = punctuation_tactical -> GrafiteAst.Tactic (loc, None, punct)
+ | tac = non_punctuation_tactical; punct = punctuation_tactical ->
+ GrafiteAst.NonPunctuationTactical (loc, tac, punct)
+ | mac = macro; SYMBOL "." -> GrafiteAst.Macro (loc, mac)
+ ]
+ ];
+ comment: [
+ [ BEGINCOMMENT ; ex = executable ; ENDCOMMENT ->
+ GrafiteAst.Code (loc, ex)
+ | str = NOTE ->
+ GrafiteAst.Note (loc, str)
+ ]
+ ];
+ statement: [
+ [ ex = executable ->
+ fun ?(never_include=false) ~include_paths status -> status,LSome(GrafiteAst.Executable (loc,ex))
+ | com = comment ->
+ fun ?(never_include=false) ~include_paths status -> status,LSome (GrafiteAst.Comment (loc, com))
+ | (iloc,fname,mode) = include_command ; SYMBOL "." ->
+ fun ?(never_include=false) ~include_paths status ->
+ let _root, buri, fullpath, _rrelpath =
+ Librarian.baseuri_of_script ~include_paths fname
+ in
+ let status =
+ if never_include then raise (NoInclusionPerformed fullpath)
+ else LexiconEngine.eval_command status
+ (LexiconAst.Include (iloc,buri,mode,fullpath))
+ in
+ !out fname;
+ status,
+ LSome
+ (GrafiteAst.Executable
+ (loc,GrafiteAst.Command
+ (loc,GrafiteAst.Include (iloc,buri))))
+ | scom = lexicon_command ; SYMBOL "." ->
+ fun ?(never_include=false) ~include_paths status ->
+ let status = LexiconEngine.eval_command status scom in
+ status,LNone loc
+ | EOI -> raise End_of_file
+ ]
+ ];
+END
+
+let exc_located_wrapper f =
+ try
+ f ()
+ with
+ | Stdpp.Exc_located (_, End_of_file) -> raise End_of_file
+ | Stdpp.Exc_located (floc, Stream.Error msg) ->
+ raise (HExtlib.Localized (floc,CicNotationParser.Parse_error msg))
+ | Stdpp.Exc_located (floc, exn) ->
+ raise
+ (HExtlib.Localized (floc,CicNotationParser.Parse_error (Printexc.to_string exn)))
+
+let parse_statement lexbuf =
+ exc_located_wrapper
+ (fun () -> (Grammar.Entry.parse statement (Obj.magic lexbuf)))
+
projects / helm.git / blobdiff