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;
arg: [
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.Ring loc
| IDENT "split" ->
GrafiteAst.Split loc
+ | IDENT "subst" ->
+ GrafiteAst.Subst loc
| IDENT "symmetry" ->
GrafiteAst.Symmetry loc
| IDENT "transitivity"; t = tactic_term ->
(* Produzioni Aggiunte *)
| IDENT "assume" ; id = IDENT ; SYMBOL ":" ; t = tactic_term ->
GrafiteAst.Assume (loc, id, t)
- | IDENT "suppose" ; t = tactic_term ; LPAREN ; id = IDENT ; RPAREN ->
- GrafiteAst.Suppose (loc, t, id)
- | IDENT "by" ; t = tactic_term ; IDENT "we" ; IDENT "proved" ; ty = tactic_term ; LPAREN ; id = IDENT ; RPAREN ->
- GrafiteAst.By_term_we_proved (loc, t, ty, id)
- | IDENT "we" ; IDENT "need" ; "to" ; IDENT "prove" ; t = tactic_term ; LPAREN ; id = IDENT ; RPAREN ->
- GrafiteAst.We_need_to_prove (loc, t, id)
- | IDENT "by" ; t = tactic_term ; IDENT "done" ->
- GrafiteAst.Bydone (loc, 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)
+ | IDENT "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" ; 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 ->
+ 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)
+ | 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 ->
+ GrafiteAst.RewritingStep(loc, None, t1, t2, cont)
+ ]
+];
+ 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] ;
+ 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)
]
- ];
+];
+ rewriting_step_continuation : [
+ [ IDENT "done" -> None
+ | IDENT "we" ; IDENT "proved" ; id=IDENT -> Some (Cic.Name id)
+ | -> Some Cic.Anonymous
+ ]
+];
atomic_tactical:
[ "sequence" LEFTA
[ t1 = SELF; SYMBOL ";"; t2 = SELF ->
| 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 -> GrafiteAst.Tactic (loc, tac)
]
SYMBOL ":"; typ = term; SYMBOL <:unicode<def>>; SYMBOL "{" ;
fields = LIST0 [
name = IDENT ;
- coercion = [ SYMBOL ":" -> false | SYMBOL ":"; SYMBOL ">" -> true ] ;
- ty = term -> (name,ty,coercion)
+ 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
macro: [
[ [ IDENT "check" ]; t = term ->
GrafiteAst.Check (loc, t)
+ | [ IDENT "inline"]; suri = QSTRING ->
+ GrafiteAst.Inline (loc,suri)
| [ IDENT "hint" ] -> GrafiteAst.Hint loc
| [ IDENT "whelp"; "match" ] ; t = term ->
GrafiteAst.WMatch (loc,t)
ind_types
in
GrafiteAst.Obj (loc, Ast.Inductive (params, ind_types))
- | IDENT "coercion" ; suri = URI ->
- GrafiteAst.Coercion (loc, UriManager.uri_of_string suri, true)
+ | IDENT "coercion" ; suri = URI ; arity = OPT int ->
+ let arity = match arity with None -> 0 | Some x -> x in
+ GrafiteAst.Coercion (loc, UriManager.uri_of_string suri, true, arity)
| 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" ; 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 ->
projects / helm.git / blobdiff