prerr_endline "</NEW_TEXTUAL_PARSER>"
end
+ (** if set to true each number will have a different insance number and can
+ * thus be interpreted differently than others *)
+let use_fresh_num_instances = false
+
open Printf
+open DisambiguateTypes
exception Parse_error of string
-let grammar = Grammar.gcreate CicTextualLexer2.lex
+let fresh_num_instance =
+ let n = ref 0 in
+ if use_fresh_num_instances then
+ (fun () -> incr n; !n)
+ else
+ (fun () -> 0)
+
+let choice_of_uri (uri: string) =
+ let cic = HelmLibraryObjects.term_of_uri (UriManager.uri_of_string uri) in
+ (uri, (fun _ _ _ -> cic))
+
+let grammar = Grammar.gcreate CicTextualLexer2.cic_lexer
let term = Grammar.Entry.create grammar "term"
-(* let tactic = Grammar.Entry.create grammar "tactic" *)
-(* let tactical = Grammar.Entry.create grammar "tactical" *)
+let term0 = Grammar.Entry.create grammar "term0"
+let tactic = Grammar.Entry.create grammar "tactic"
+let tactical = Grammar.Entry.create grammar "tactical"
+let tactical0 = Grammar.Entry.create grammar "tactical0"
+let command = Grammar.Entry.create grammar "command"
-let return_term loc term = CicTextualParser2Ast.LocatedTerm (loc, term)
-(* let return_term loc term = term *)
+let return_term loc term = CicAst.AttributedTerm (`Loc loc, term)
+let return_tactic loc tactic = TacticAst.LocatedTactic (loc, tactic)
+let return_tactical loc tactical = TacticAst.LocatedTactical (loc, tactical)
+let return_command loc cmd = cmd
let fail (x, y) msg =
failwith (Printf.sprintf "Error at characters %d - %d: %s" x y msg)
+let name_of_string = function
+ | "_" -> Cic.Anonymous
+ | s -> Cic.Name s
+
EXTEND
- GLOBAL: term;
+ GLOBAL: term term0 tactic tactical tactical0 command;
+ 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 ")" ->
+ (name_of_string i, Some typ)
+ | i = IDENT -> (name_of_string i, None)
]
];
substituted_name: [ (* a subs.name is an explicit substitution subject *)
[ s = [ IDENT | SYMBOL ];
subst = OPT [
SYMBOL "\subst"; (* to avoid catching frequent "a [1]" cases *)
- LPAREN "[";
+ PAREN "[";
substs = LIST1 [
i = IDENT; SYMBOL <:unicode<Assign>> (* ≔ *); t = term -> (i, t)
] SEP SYMBOL ";";
- RPAREN "]" ->
+ PAREN "]" ->
substs
] ->
- (match subst with
- | Some l -> CicTextualParser2Ast.Ident (s, l)
- | None -> CicTextualParser2Ast.Ident (s, []))
+ CicAst.Ident (s, subst)
]
];
name: [ (* as substituted_name with no explicit substitution *)
[ s = [ IDENT | SYMBOL ] -> s ]
];
pattern: [
- [ n = name -> [n]
- | LPAREN "("; names = LIST1 name; RPAREN ")" -> names ]
+ [ n = name -> (n, [])
+ | PAREN "("; head = name; vars = LIST1 typed_name; PAREN ")" ->
+ (head, vars)
+ ]
];
+ term0: [ [ t = term; EOI -> return_term loc t ] ];
term:
- [ "arrow" RIGHTA
- [ t1 = term; SYMBOL <:unicode<to>>; t2 = term ->
- return_term loc
- (CicTextualParser2Ast.Binder (`Pi, Cic.Anonymous, Some t1, t2))
- ]
- | "eq" LEFTA
- [ t1 = term; SYMBOL "="; t2 = term ->
- return_term loc (CicTextualParser2Ast.Appl_symbol ("eq", 0, [t1; t2]))
+ [ "letin" NONA
+ (* actually "in" and "and" are _not_ keywords. Parsing works anyway
+ * since applications are required to be bound by parens *)
+ [ "let"; var = typed_name;
+ SYMBOL "="; (* SYMBOL <:unicode<def>> (* ≝ *); *)
+ t1 = term;
+ IDENT "in"; t2 = term ->
+ return_term loc (CicAst.LetIn (var, t1, t2))
+ | "let"; ind_kind = [ "corec" -> `CoInductive | "rec"-> `Inductive ];
+ defs = LIST1 [
+ var = typed_name;
+ index = OPT [ PAREN "("; index = NUM; PAREN ")" ->
+ int_of_string index
+ ];
+ SYMBOL "="; (* SYMBOL <:unicode<def>> (* ≝ *); *)
+ t1 = term ->
+ (var, t1, (match index with None -> 0 | Some i -> i))
+ ] SEP (IDENT "and");
+ IDENT "in"; body = term ->
+ return_term loc (CicAst.LetRec (ind_kind, defs, body))
]
- | "add" LEFTA [ (* nothing here by default *) ]
- | "mult" LEFTA [ (* nothing here by default *) ]
- | "inv" NONA [ (* nothing here by default *) ]
- | "simple" NONA
+ | "binder" RIGHTA
[
- b = binder; vars = LIST1 IDENT SEP SYMBOL ",";
- typ = OPT [ SYMBOL ":"; t = term -> t ];
+ b = binder;
+ (vars, typ) =
+ [ vars = LIST1 IDENT SEP SYMBOL ",";
+ typ = OPT [ SYMBOL ":"; t = term -> t ] -> (vars, typ)
+ | PAREN "("; vars = LIST1 IDENT SEP SYMBOL ",";
+ typ = OPT [ SYMBOL ":"; t = term -> t ]; PAREN ")" -> (vars, typ)
+ ];
SYMBOL "."; body = term ->
let binder =
List.fold_right
(fun var body ->
- let name =
- match var with
- | "_" -> Cic.Anonymous
- | var -> Cic.Name var
- in
- CicTextualParser2Ast.Binder (b, name, typ, body))
+ let name = name_of_string var in
+ CicAst.Binder (b, (name, typ), body))
vars body
in
return_term loc binder
- | sort_kind = [
- "Prop" -> `Prop | "Set" -> `Set | "Type" -> `Type | "CProp" -> `CProp
- ] ->
- CicTextualParser2Ast.Sort sort_kind
+ | t1 = term; SYMBOL <:unicode<to>> (* → *); t2 = term ->
+ return_term loc
+ (CicAst.Binder (`Pi, (Cic.Anonymous, Some t1), t2))
+ ]
+ | "logic_add" LEFTA [ (* nothing here by default *) ]
+ | "logic_mult" LEFTA [ (* nothing here by default *) ]
+ | "logic_inv" NONA [ (* nothing here by default *) ]
+ | "relop" LEFTA
+ [ t1 = term; SYMBOL "="; t2 = term ->
+ return_term loc (CicAst.Appl [CicAst.Symbol ("eq", 0); t1; t2])
+ ]
+ | "add" LEFTA [ (* nothing here by default *) ]
+ | "mult" LEFTA [ (* nothing here by default *) ]
+ | "power" LEFTA [ (* nothing here by default *) ]
+ | "inv" NONA [ (* nothing here by default *) ]
+ | "simple" NONA
+ [ sort = sort -> CicAst.Sort sort
| n = substituted_name -> return_term loc n
- | LPAREN "("; head = term; args = LIST1 term; RPAREN ")" ->
- return_term loc (CicTextualParser2Ast.Appl (head :: args))
- | i = NUM -> return_term loc (CicTextualParser2Ast.Num (i, 0))
+ | PAREN "("; head = term; args = LIST1 term; PAREN ")" ->
+ return_term loc (CicAst.Appl (head :: args))
+ | i = NUM -> return_term loc (CicAst.Num (i, (fresh_num_instance ())))
+ | IMPLICIT -> return_term loc CicAst.Implicit
| m = META;
substs = [
- LPAREN "["; substs = LIST0 meta_subst SEP SYMBOL ";" ; RPAREN "]" ->
+ PAREN "["; substs = LIST0 meta_subst SEP SYMBOL ";" ; PAREN "]" ->
substs
] ->
let index =
with Failure "int_of_string" ->
fail loc ("Invalid meta variable number: " ^ m)
in
- return_term loc (CicTextualParser2Ast.Meta (index, substs))
- (* actually "in" and "and" are _not_ keywords. Parsing works anyway
- * since applications are required to be bound by parens *)
- | "let"; name = IDENT; SYMBOL <:unicode<def>> (* ≝ *); t1 = term;
- IDENT "in"; t2 = term ->
- return_term loc (CicTextualParser2Ast.LetIn (name, t1, t2))
- | "let"; ind_kind = [ "corec" -> `CoInductive | "rec"-> `Inductive ];
- defs = LIST1 [
- name = IDENT;
- index = OPT [ LPAREN "("; index = INT; RPAREN ")" ->
- int_of_string index
- ];
- typ = OPT [ SYMBOL ":"; typ = term -> typ ];
- SYMBOL <:unicode<def>> (* ≝ *); t1 = term ->
- (name, t1, typ, (match index with None -> 1 | Some i -> i))
- ] SEP (IDENT "and");
- IDENT "in"; body = term ->
- return_term loc (CicTextualParser2Ast.LetRec (ind_kind, defs, body))
- | outtyp = OPT [ LPAREN "["; typ = term; RPAREN "]" -> typ ];
+ return_term loc (CicAst.Meta (index, substs))
+ | outtyp = OPT [ PAREN "["; typ = term; PAREN "]" -> typ ];
"match"; t = term;
- SYMBOL ":"; indty = IDENT;
+ indty_ident = OPT [ SYMBOL ":"; id = IDENT -> id ];
"with";
- LPAREN "[";
+ PAREN "[";
patterns = LIST0 [
- p = pattern; SYMBOL <:unicode<Rightarrow>> (* ⇒ *); t = term -> (p, t)
+ lhs = pattern; SYMBOL <:unicode<Rightarrow>> (* ⇒ *); rhs = term ->
+ ((lhs: CicAst.case_pattern), rhs)
] SEP SYMBOL "|";
- RPAREN "]" ->
- return_term loc (CicTextualParser2Ast.Case (t, indty, outtyp, patterns))
- | LPAREN "("; t = term; RPAREN ")" -> return_term loc t
+ PAREN "]" ->
+ return_term loc
+ (CicAst.Case (t, indty_ident, outtyp, patterns))
+ | PAREN "("; t1 = term; SYMBOL ":"; t2 = term; PAREN ")" ->
+ return_term loc (CicAst.Appl [CicAst.Symbol ("cast", 0); t1; t2])
+ | PAREN "("; t = term; PAREN ")" -> return_term loc t
]
];
+ tactic_where: [
+ [ where = OPT [ IDENT "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" | IDENT "Absurd" ] -> return_tactic loc TacticAst.Absurd
+ | [ IDENT "apply" | IDENT "Apply" ];
+ t = tactic_term -> return_tactic loc (TacticAst.Apply t)
+ | [ IDENT "assumption" | IDENT "Assumption" ] ->
+ return_tactic loc TacticAst.Assumption
+ | [ IDENT "change" | 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" | IDENT "Contradiction" ] ->
+ return_tactic loc TacticAst.Contradiction
+ | [ IDENT "cut" | IDENT "Cut" ];
+ t = tactic_term -> return_tactic loc (TacticAst.Cut t)
+ | [ IDENT "decompose" | IDENT "Decompose" ];
+ principles = ident_list1; where = IDENT ->
+ return_tactic loc (TacticAst.Decompose (where, principles))
+ | [ IDENT "discriminate" | IDENT "Discriminate" ];
+ hyp = IDENT ->
+ return_tactic loc (TacticAst.Discriminate hyp)
+ | [ IDENT "elim" | IDENT "Elim" ]; IDENT "type";
+ t = tactic_term ->
+ return_tactic loc (TacticAst.ElimType t)
+ | [ IDENT "elim" | IDENT "Elim" ];
+ t1 = tactic_term;
+ using = OPT [ "using"; using = tactic_term -> using ] ->
+ return_tactic loc (TacticAst.Elim (t1, using))
+ | [ IDENT "exact" | IDENT "Exact" ]; t = tactic_term ->
+ return_tactic loc (TacticAst.Exact t)
+ | [ IDENT "exists" | IDENT "Exists" ] ->
+ return_tactic loc TacticAst.Exists
+ | [ IDENT "fold" | IDENT "Fold" ];
+ kind = reduction_kind; t = tactic_term ->
+ return_tactic loc (TacticAst.Fold (kind, t))
+ | [ IDENT "fourier" | IDENT "Fourier" ] ->
+ return_tactic loc TacticAst.Fourier
+ | [ IDENT "injection" | IDENT "Injection" ]; ident = IDENT ->
+ return_tactic loc (TacticAst.Injection ident)
+ | [ IDENT "intros" | 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" | IDENT "Left" ] -> return_tactic loc TacticAst.Left
+ | [ "let" | "Let" ];
+ t = tactic_term; IDENT "in"; where = IDENT ->
+ return_tactic loc (TacticAst.LetIn (t, where))
+ (* TODO Reduce *)
+ | [ IDENT "reflexivity" | IDENT "Reflexivity" ] ->
+ return_tactic loc TacticAst.Reflexivity
+ | [ IDENT "replace" | IDENT "Replace" ];
+ t1 = tactic_term; "with"; t2 = tactic_term ->
+ return_tactic loc (TacticAst.Replace (t1, t2))
+ (* TODO Rewrite *)
+ (* TODO Replace_pattern *)
+ | [ IDENT "right" | IDENT "Right" ] -> return_tactic loc TacticAst.Right
+ | [ IDENT "ring" | IDENT "Ring" ] -> return_tactic loc TacticAst.Ring
+ | [ IDENT "split" | IDENT "Split" ] -> return_tactic loc TacticAst.Split
+ | [ IDENT "symmetry" | IDENT "Symmetry" ] ->
+ return_tactic loc TacticAst.Symmetry
+ | [ IDENT "transitivity" | IDENT "Transitivity" ];
+ t = tactic_term ->
+ return_tactic loc (TacticAst.Transitivity t)
+ ]
+ ];
+ tactical0: [ [ t = tactical; SYMBOL "." -> t ] ];
+ tactical:
+ [ "sequence" LEFTA
+ [ tactics = LIST1 NEXT SEP SYMBOL ";" ->
+ return_tactical loc (TacticAst.Seq tactics)
+ ]
+ | "then" NONA
+ [ tac = tactical;
+ PAREN "["; tacs = LIST0 tactical SEP SYMBOL ";"; PAREN "]" ->
+ return_tactical loc (TacticAst.Then (tac, tacs))
+ ]
+ | "loops" RIGHTA
+ [ [ IDENT "do" | IDENT "Do" ]; count = int; tac = tactical ->
+ return_tactical loc (TacticAst.Do (count, tac))
+ | [ IDENT "repeat" | IDENT "Repeat" ]; tac = tactical ->
+ return_tactical loc (TacticAst.Repeat tac)
+ ]
+ | "simple" NONA
+ [ [ IDENT "tries" | IDENT "Tries" ];
+ PAREN "["; tacs = LIST0 tactical SEP SYMBOL ";"; PAREN "]" ->
+ return_tactical loc (TacticAst.Tries tacs)
+ | [ IDENT "try" | IDENT "Try" ]; tac = NEXT ->
+ return_tactical loc (TacticAst.Try tac)
+ | [ IDENT "fail" | IDENT "Fail" ] -> return_tactical loc TacticAst.Fail
+ | [ IDENT "id" | IDENT "Id" ] -> return_tactical loc TacticAst.IdTac
+ | PAREN "("; tac = tactical; PAREN ")" -> return_tactical loc tac
+ | tac = tactic -> return_tactical loc (TacticAst.Tactic tac)
+ | cmd = command -> return_tactical loc (TacticAst.Command cmd)
+ ]
+ ];
+ theorem_flavour: [ (* all flavours but Goal *)
+ [ [ IDENT "definition" | IDENT "Definition" ] -> `Definition
+ | [ IDENT "fact" | IDENT "Fact" ] -> `Fact
+ | [ IDENT "lemma" | IDENT "Lemma" ] -> `Lemma
+ | [ IDENT "remark" | IDENT "Remark" ] -> `Remark
+ | [ IDENT "theorem" | IDENT "Theorem" ] -> `Theorem
+ ]
+ ];
+ command: [
+ [ [ IDENT "proof" | IDENT "Proof" ] -> return_command loc TacticAst.Proof
+ | [ IDENT "quit" | IDENT "Quit" ] -> return_command loc TacticAst.Quit
+ | [ IDENT "qed" | IDENT "Qed" ] ->
+ return_command loc (TacticAst.Qed None)
+ | [ IDENT "save" | IDENT "Save" ]; name = IDENT ->
+ return_command loc (TacticAst.Qed (Some name))
+ | flavour = theorem_flavour; name = OPT IDENT; SYMBOL ":"; typ = term;
+ body = OPT [ SYMBOL <:unicode<def>> (* ≝ *); body = term -> body ] ->
+ return_command loc (TacticAst.Theorem (flavour, name, typ, body))
+ | [ IDENT "goal" | IDENT "Goal" ]; typ = term;
+ body = OPT [ SYMBOL <:unicode<def>> (* ≝ *); body = term -> body ] ->
+ return_command loc (TacticAst.Theorem (`Goal, None, typ, body))
+ ]
+ ];
END
-let parse_term stream =
+let exc_located_wrapper f =
try
- Grammar.Entry.parse term stream
+ Lazy.force f
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_term stream =
+ exc_located_wrapper (lazy (Grammar.Entry.parse term0 stream))
+let parse_tactic stream =
+ exc_located_wrapper (lazy (Grammar.Entry.parse tactic stream))
+let parse_tactical stream =
+ exc_located_wrapper (lazy (Grammar.Entry.parse tactical0 stream))
+
+(**/**)
+
+(** {2 Interface for gTopLevel} *)
+
+module EnvironmentP3 =
+ struct
+ type t = environment
+
+ let empty = ""
+
+ let aliases_grammar = Grammar.gcreate CicTextualLexer2.cic_lexer
+ let aliases = Grammar.Entry.create aliases_grammar "aliases"
+
+ let to_string env =
+ let aliases =
+ Environment.fold
+ (fun domain_item (dsc, _) acc ->
+ let s =
+ match domain_item with
+ | Id id -> sprintf "alias id %s = %s" id dsc
+ | Symbol (symb, instance) ->
+ sprintf "alias symbol \"%s\" (instance %d) = \"%s\""
+ symb instance dsc
+ | Num instance ->
+ sprintf "alias num (instance %d) = \"%s\"" instance dsc
+ in
+ s :: acc)
+ env []
+ in
+ String.concat "\n" (List.sort compare aliases)
+
+ EXTEND
+ GLOBAL: aliases;
+ aliases: [ (* build an environment from an aliases list *)
+ [ aliases = LIST0 alias; EOI ->
+ List.fold_left
+ (fun env (domain_item, codomain_item) ->
+ Environment.add domain_item codomain_item env)
+ Environment.empty aliases
+ ]
+ ];
+ alias: [ (* return a pair <domain_item, codomain_item> from an alias *)
+ [ IDENT "alias";
+ choice =
+ [ IDENT "id"; id = IDENT; SYMBOL "="; uri = URI ->
+ (Id id, choice_of_uri uri)
+ | IDENT "symbol"; symbol = QSTRING;
+ PAREN "("; IDENT "instance"; instance = NUM; PAREN ")";
+ SYMBOL "="; dsc = QSTRING ->
+ (Symbol (symbol, int_of_string instance),
+ DisambiguateChoices.lookup_symbol_by_dsc symbol dsc)
+ | IDENT "num";
+ PAREN "("; IDENT "instance"; instance = NUM; PAREN ")";
+ SYMBOL "="; dsc = QSTRING ->
+ (Num (int_of_string instance),
+ DisambiguateChoices.lookup_num_by_dsc dsc)
+ ] -> choice ]
+ ];
+ END
+
+ let of_string s =
+ if s = empty then
+ Environment.empty
+ else
+ try
+ Grammar.Entry.parse aliases (Stream.of_string s)
+ with Stdpp.Exc_located ((x, y), exn) ->
+ raise (Parse_error (sprintf "parse error at characters %d-%d: %s" x y
+ (Printexc.to_string exn)))
+ end
+
+(* vim:set encoding=utf8: *)
projects / helm.git / blobdiff