type ast_statement =
(CicNotationPt.term, CicNotationPt.term,
- CicNotationPt.term GrafiteAst.reduction, CicNotationPt.obj, string)
+ CicNotationPt.term GrafiteAst.reduction,
+ CicNotationPt.term CicNotationPt.obj, string)
GrafiteAst.statement
type statement =
type by_continuation =
BYC_done
- | BYC_weproved of CicNotationPt.term * string * CicNotationPt.term option
+ | 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
+let out = ref ignore
+
+let set_callback f = out := f
+
EXTEND
GLOBAL: term statement;
- arg: [
- [ LPAREN; names = LIST1 IDENT SEP SYMBOL ",";
- SYMBOL ":"; ty = term; RPAREN -> names,ty
- | name = IDENT -> [name],Ast.Implicit
- ]
- ];
constructor: [ [ name = IDENT; SYMBOL ":"; typ = term -> (name, typ) ] ];
tactic_term: [ [ t = term LEVEL "90N" -> t ] ];
ident_list0: [ [ LPAREN; idents = LIST0 IDENT; RPAREN -> idents ] ];
| SYMBOL "<" -> `RightToLeft ]
];
int: [ [ num = NUMBER -> int_of_string num ] ];
+ intros_names: [
+ [ idents = OPT ident_list0 ->
+ match idents with None -> [] | Some idents -> idents
+ ]
+ ];
intros_spec: [
- [ num = OPT [ num = int -> num ]; idents = OPT ident_list0 ->
- let idents = match idents with None -> [] | Some idents -> idents in
+ [ OPT [ IDENT "names" ];
+ num = OPT [ num = int -> num ];
+ idents = intros_names ->
num, idents
]
];
GrafiteAst.Absurd (loc, t)
| IDENT "apply"; t = tactic_term ->
GrafiteAst.Apply (loc, t)
- | IDENT "applyS"; t = tactic_term ->
- GrafiteAst.ApplyS (loc, t)
- | IDENT "assumption" ->
- GrafiteAst.Assumption loc
- | IDENT "auto"; params =
+ | IDENT "applyS"; t = tactic_term ; params =
LIST0 [ i = IDENT -> i,"" | i = IDENT ; SYMBOL "="; v = [ v = int ->
string_of_int v | v = IDENT -> v ] -> i,v ] ->
+ GrafiteAst.ApplyS (loc, t, params)
+ | IDENT "assumption" ->
+ GrafiteAst.Assumption loc
+ | IDENT "auto"; params = auto_params ->
GrafiteAst.Auto (loc,params)
+ | IDENT "cases"; what = tactic_term;
+ (num, idents) = intros_spec ->
+ GrafiteAst.Cases (loc, what, idents)
| IDENT "clear"; ids = LIST1 IDENT ->
GrafiteAst.Clear (loc, ids)
| IDENT "clearbody"; id = IDENT ->
let to_spec id = GrafiteAst.Ident id in
GrafiteAst.Decompose (loc, List.rev_map to_spec types, what, idents)
| IDENT "demodulate" -> GrafiteAst.Demodulate loc
- | IDENT "discriminate"; t = tactic_term ->
- GrafiteAst.Discriminate (loc, t)
+ | IDENT "destruct"; t = tactic_term ->
+ GrafiteAst.Destruct (loc, t)
| IDENT "elim"; what = tactic_term; using = using;
(num, idents) = intros_spec ->
GrafiteAst.Elim (loc, what, using, num, idents)
| IDENT "goal"; n = int ->
GrafiteAst.Goal (loc, n)
| IDENT "id" -> GrafiteAst.IdTac loc
- | IDENT "injection"; t = tactic_term ->
- GrafiteAst.Injection (loc, t)
| IDENT "intro"; ident = OPT IDENT ->
let idents = match ident with None -> [] | Some id -> [id] in
GrafiteAst.Intros (loc, Some 1, idents)
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 ->
+ | 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
(CicNotationParser.Parse_error
"the pattern cannot specify the term to rewrite, only its paths in the hypotheses and in the conclusion")))
else
- GrafiteAst.Rewrite (loc, d, t, p)
+ let n = match xnames with None -> [] | Some names -> names in
+ GrafiteAst.Rewrite (loc, d, t, p, n)
| IDENT "right" ->
GrafiteAst.Right loc
| IDENT "ring" ->
(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 ; LPAREN ; id = IDENT ; RPAREN ; t1 = OPT [IDENT "or" ; IDENT "equivalently"; t' = tactic_term -> t']->
+ | 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" ; IDENT "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" ; IDENT "by" ; IDENT "induction" ; "on" ; t=tactic_term ; "to" ; IDENT "prove" ; t1=tactic_term ->
GrafiteAst.We_proceed_by_induction_on (loc, t, t1)
| IDENT "by" ; IDENT "induction" ; IDENT "hypothesis" ; IDENT "we" ; IDENT "know" ; t=tactic_term ; LPAREN ; id = IDENT ; RPAREN ->
| IDENT "case" ; id = IDENT ; params=LIST0[LPAREN ; i=IDENT ;
SYMBOL":" ; t=tactic_term ; RPAREN -> i,t] ->
GrafiteAst.Case(loc,id,params)
- | IDENT "obtain" ; termine=tactic_term ; SYMBOL "=" ; t1=tactic_term ; IDENT "by" ; t2=[ t=tactic_term -> Some t | SYMBOL "_" -> None ] ; cont=rewriting_step_continuation ->
- GrafiteAst.RewritingStep(loc, Some termine, t1, t2, cont)
- | SYMBOL "=" ; t1=tactic_term ; IDENT "by" ; t2=[ t=tactic_term -> Some t | SYMBOL "_" -> None ] ; cont=rewriting_step_continuation ->
+ | 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 ->
+ GrafiteAst.RewritingStep(loc, Some (start,termine), t1, t2, cont)
+ | SYMBOL "=" ; t1=tactic_term ; IDENT "by" ; t2=[ t=tactic_term -> `Term t | SYMBOL "_" ; params = auto_params' -> `Auto params ] ;
+ cont=rewriting_step_continuation ->
GrafiteAst.RewritingStep(loc, None, 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 ] ->
+ params
+ ]
+];
+ auto_params': [
+ [ LPAREN; params = auto_params; RPAREN -> 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,id,t1)
+ [ 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] ;
+ IDENT "done" -> BYC_weproved (ty,None,t1)
| IDENT "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)
+ 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 : [
- [ IDENT "done" -> None
- | IDENT "we" ; IDENT "proved" ; id=IDENT -> Some (Cic.Name id)
- | -> Some Cic.Anonymous
+ [ IDENT "done" -> true
+ | -> false
]
];
atomic_tactical:
]
];
inductive_spec: [ [
- fst_name = IDENT; params = LIST0 [ arg=arg -> arg ];
+ 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";
] ];
record_spec: [ [
- name = IDENT; params = LIST0 [ arg = arg -> arg ] ;
+ name = IDENT; params = LIST0 CicNotationParser.protected_binder_vars ;
SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>; SYMBOL "{" ;
fields = LIST0 [
name = IDENT ;
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" ] -> GrafiteAst.Hint loc
| [ IDENT "whelp"; "match" ] ; t = term ->
GrafiteAst.WMatch (loc,t)
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
- | ((Ast.Ident (name, None), Some ty),_,_) :: _ -> name,ty
- | ((Ast.Ident (name, None), None),_,_) :: _ ->
+ | (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
- GrafiteAst.Obj (loc, Ast.Theorem(`Definition, name, ty,
- Some (Ast.LetRec (ind_kind, defs, body))))
+ 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 "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" ; IDENT "by" ;
+ refl = tactic_term -> refl ] ;
+ sym = OPT [ IDENT "symmetry" ; IDENT "proved" ; IDENT "by" ;
+ sym = tactic_term -> sym ] ;
+ trans = OPT [ IDENT "transitivity" ; IDENT "proved" ; IDENT "by" ;
+ trans = tactic_term -> trans ] ;
+ "as" ; id = IDENT ->
+ GrafiteAst.Relation (loc,id,a,aeq,refl,sym,trans)
]];
lexicon_command: [ [
IDENT "alias" ; spec = alias_spec ->
(loc,GrafiteAst.Include (iloc,buri))))
| scom = lexicon_command ; SYMBOL "." ->
fun ~include_paths status ->
- let status = LexiconEngine.eval_command status scom in
+ !out scom;
+ let status = LexiconEngine.eval_command status scom in
status,LNone loc
| EOI -> raise End_of_file
]
projects / helm.git / blobdiff