let term = Grammar.Entry.create grammar "term"
let term0 = Grammar.Entry.create grammar "term0"
-(* let tactic = Grammar.Entry.create grammar "tactic" *)
-(* let tactical = Grammar.Entry.create grammar "tactical" *)
+let tactic = Grammar.Entry.create grammar "tactic"
+let tactical = Grammar.Entry.create grammar "tactical"
+let tactical0 = Grammar.Entry.create grammar "tactical0"
let return_term loc term = CicAst.AttributedTerm (`Loc loc, term)
-(* let return_term loc term = term *)
+let return_tactic loc tactic = TacticAst.LocatedTactic (loc, tactic)
+let return_tactical loc tactical = TacticAst.LocatedTactical (loc, tactical)
let fail (x, y) msg =
failwith (Printf.sprintf "Error at characters %d - %d: %s" x y msg)
| s -> Cic.Name s
EXTEND
- GLOBAL: term term0;
+ GLOBAL: term term0 tactic tactical tactical0;
+ int: [
+ [ num = NUM ->
+ try
+ int_of_string num
+ with Failure _ ->
+ let (x, y) = loc in
+ raise (Parse_error (sprintf
+ "integer literal expected at characters %d-%d" x y))
+ ]
+ ];
meta_subst: [
[ s = SYMBOL "_" -> None
| t = term -> Some t ]
];
binder: [
[ SYMBOL <:unicode<lambda>> (* λ *) -> `Lambda
- | SYMBOL <:unicode<pi>> (* π *) -> `Pi
+ | SYMBOL <:unicode<Pi>> (* Π *) -> `Pi
| SYMBOL <:unicode<exists>> (* ∃ *) -> `Exists
- | SYMBOL <:unicode<forall>> (* ∀ *) -> `Forall
- ]
+ | SYMBOL <:unicode<forall>> (* ∀ *) -> `Forall ]
+ ];
+ sort: [
+ [ "Prop" -> `Prop
+ | "Set" -> `Set
+ | "Type" -> `Type
+ | "CProp" -> `CProp ]
];
typed_name: [
[ PAREN "("; i = IDENT; SYMBOL ":"; typ = term; PAREN ")" ->
(head, vars)
]
];
- term0: [ [ t = term -> return_term loc t ] ];
+ term0: [ [ t = term; EOI -> return_term loc t ] ];
term:
- [ "arrow" RIGHTA
- [ t1 = term; SYMBOL <:unicode<to>>; t2 = term ->
- return_term loc
- (CicAst.Binder (`Pi, (Cic.Anonymous, Some t1), t2))
- ]
- | "binder" RIGHTA
+ [ "binder" RIGHTA
[
b = binder;
(vars, typ) =
vars body
in
return_term loc binder
+ | t1 = term; SYMBOL <:unicode<to>> (* → *); t2 = term ->
+ return_term loc
+ (CicAst.Binder (`Pi, (Cic.Anonymous, Some t1), t2))
]
| "eq" LEFTA
[ t1 = term; SYMBOL "="; t2 = term ->
| "mult" LEFTA [ (* nothing here by default *) ]
| "inv" NONA [ (* nothing here by default *) ]
| "simple" NONA
- [
- sort_kind = [
- "Prop" -> `Prop | "Set" -> `Set | "Type" -> `Type | "CProp" -> `CProp
- ] ->
- CicAst.Sort sort_kind
+ [ sort = sort -> CicAst.Sort sort
| n = substituted_name -> return_term loc n
| PAREN "("; head = term; args = LIST1 term; PAREN ")" ->
return_term loc (CicAst.Appl (head :: args))
return_term loc (CicAst.LetRec (ind_kind, defs, body))
| outtyp = OPT [ PAREN "["; typ = term; PAREN "]" -> typ ];
"match"; t = term;
- SYMBOL ":"; indty = IDENT;
+ indty_ident = OPT [ SYMBOL ":"; id = IDENT -> id ];
"with";
PAREN "[";
patterns = LIST0 [
] SEP SYMBOL "|";
PAREN "]" ->
return_term loc
- (CicAst.Case (t, indty, outtyp, patterns))
+ (CicAst.Case (t, indty_ident, outtyp, patterns))
| PAREN "("; t = term; PAREN ")" -> return_term loc t
]
];
+ tactic_where: [
+ [ where = OPT [ "in"; ident = IDENT -> ident ] -> where ]
+ ];
+ tactic_term: [
+ [ t = term -> t ]
+ ];
+ ident_list0: [
+ [ PAREN "["; idents = LIST0 IDENT SEP SYMBOL ";"; PAREN "]" -> idents ]
+ ];
+ ident_list1: [
+ [ PAREN "["; idents = LIST1 IDENT SEP SYMBOL ";"; PAREN "]" -> idents ]
+ ];
+ reduction_kind: [
+ [ "reduce" -> `Reduce
+ | "simpl" -> `Simpl
+ | "whd" -> `Whd ]
+ ];
+ tactic: [
+ [ IDENT "absurd" -> return_tactic loc TacticAst.Absurd
+ | IDENT "apply"; t = tactic_term -> return_tactic loc (TacticAst.Apply t)
+ | IDENT "assumption" -> return_tactic loc TacticAst.Assumption
+ | IDENT "change"; t1 = tactic_term; "with"; t2 = tactic_term;
+ where = tactic_where ->
+ return_tactic loc (TacticAst.Change (t1, t2, where))
+ (* TODO Change_pattern *)
+ | IDENT "contradiction" -> return_tactic loc TacticAst.Contradiction
+ | IDENT "cut"; t = tactic_term -> return_tactic loc (TacticAst.Cut t)
+ | IDENT "decompose"; principles = ident_list1; where = IDENT ->
+ return_tactic loc (TacticAst.Decompose (where, principles))
+ | IDENT "discriminate"; hyp = IDENT ->
+ return_tactic loc (TacticAst.Discriminate hyp)
+ | IDENT "elim"; IDENT "type"; t = tactic_term ->
+ return_tactic loc (TacticAst.ElimType t)
+ | IDENT "elim"; t1 = tactic_term;
+ using = OPT [ IDENT "using"; using = tactic_term -> using ] ->
+ return_tactic loc (TacticAst.Elim (t1, using))
+ | IDENT "exact"; t = tactic_term -> return_tactic loc (TacticAst.Exact t)
+ | IDENT "exists" -> return_tactic loc TacticAst.Exists
+ | IDENT "fold"; kind = reduction_kind; t = tactic_term ->
+ return_tactic loc (TacticAst.Fold (kind, t))
+ | IDENT "fourier" -> return_tactic loc TacticAst.Fourier
+ | IDENT "injection"; ident = IDENT ->
+ return_tactic loc (TacticAst.Injection ident)
+ | IDENT "intros";
+ num = OPT [ num = int -> num ];
+ idents = OPT ident_list0 ->
+ let idents = match idents with None -> [] | Some idents -> idents in
+ return_tactic loc (TacticAst.Intros (num, idents))
+ | IDENT "left" -> return_tactic loc TacticAst.Left
+ | "let"; t = tactic_term; IDENT "in"; where = IDENT ->
+ return_tactic loc (TacticAst.LetIn (t, where))
+ (* TODO Reduce *)
+ | IDENT "reflexivity" -> return_tactic loc TacticAst.Reflexivity
+ | IDENT "replace"; t1 = tactic_term; "with"; t2 = tactic_term ->
+ return_tactic loc (TacticAst.Replace (t1, t2))
+ (* TODO Rewrite *)
+ (* TODO Replace_pattern *)
+ | IDENT "right" -> return_tactic loc TacticAst.Right
+ | IDENT "ring" -> return_tactic loc TacticAst.Ring
+ | IDENT "split" -> return_tactic loc TacticAst.Split
+ | IDENT "symmetry" -> return_tactic loc TacticAst.Symmetry
+ | IDENT "transitivity"; t = tactic_term ->
+ return_tactic loc (TacticAst.Transitivity t)
+ ]
+ ];
+ tactical0 : [ [ t = tactical; SYMBOL "." -> t ] ];
+ tactical: [
+ [ IDENT "fail" -> return_tactical loc TacticAst.Fail
+ | IDENT "do"; count = int; tac = tactical ->
+ return_tactical loc (TacticAst.Do (count, tac))
+ | IDENT "id" -> return_tactical loc TacticAst.IdTac
+ | IDENT "repeat"; tac = tactical ->
+ return_tactical loc (TacticAst.Repeat tac)
+ | tactics = LIST0 tactical SEP SYMBOL ";" ->
+ return_tactical loc (TacticAst.Seq tactics)
+ | tac = tactical;
+ PAREN "["; tacs = LIST0 tactical SEP SYMBOL ";"; PAREN "]" ->
+ return_tactical loc (TacticAst.Then (tac, tacs))
+ | IDENT "tries";
+ PAREN "["; tacs = LIST0 tactical SEP SYMBOL ";"; PAREN "]" ->
+ return_tactical loc (TacticAst.Tries tacs)
+ | IDENT "try"; tac = tactical -> return_tactical loc (TacticAst.Try tac)
+ | tac = tactic -> return_tactical loc (TacticAst.Tactic tac)
+ | PAREN "("; tac = tactical; PAREN ")" -> return_tactical loc tac
+ ]
+ ];
END
let parse_term stream =
raise (Parse_error (sprintf "parse error at characters %d-%d: %s" x y
(Printexc.to_string exn)))
+let parse_tactic stream =
+ try
+ Grammar.Entry.parse tactic stream
+ with Stdpp.Exc_located ((x, y), exn) ->
+ raise (Parse_error (sprintf "parse error at characters %d-%d: %s" x y
+ (Printexc.to_string exn)))
+
+let parse_tactical stream =
+ try
+ Grammar.Entry.parse tactical0 stream
+ with Stdpp.Exc_located ((x, y), exn) ->
+ raise (Parse_error (sprintf "parse error at characters %d-%d: %s" x y
+ (Printexc.to_string exn)))
+
(**/**)
(** {2 Interface for gTopLevel} *)
projects / helm.git / blobdiff