Quellcode-Bibliothek syntax_phases.ML Sprache: SML

(*  Title:      Pure/Syntax/syntax_phases.ML
    Author:     Makarius

Main phases of inner syntax processing, with standard implementations
of parse/unparse operations.
*)

signature SYNTAX_PHASES =
sig
  val markup_free: Proof.context -> string -> Markup.T list
  val reports_of_scope: Position.T list -> Position.report list
  val decode_sort: term -> sort
  val decode_typ: term -> typ
  val decode_term: Proof.context ->
    Position.report_text list * term Exn.result -> Position.report_text list * term Exn.result
  val term_of_typ: Proof.context -> typ -> term
  val print_checks: Proof.context -> unit
  val typ_check: int -> string -> (Proof.context -> typ list -> typ list) ->
    Context.generic -> Context.generic
  val term_check: int -> string -> (Proof.context -> term list -> term list) ->
    Context.generic -> Context.generic
  val typ_uncheck: int -> string -> (Proof.context -> typ list -> typ list) ->
    Context.generic -> Context.generic
  val term_uncheck: int -> string -> (Proof.context -> term list -> term list) ->
    Context.generic -> Context.generic
  val typ_check': int -> string ->
    (typ list -> Proof.context -> (typ list * Proof.context) option) ->
    Context.generic -> Context.generic
  val term_check': int -> string ->
    (term list -> Proof.context -> (term list * Proof.context) option) ->
    Context.generic -> Context.generic
  val typ_uncheck': int -> string ->
    (typ list -> Proof.context -> (typ list * Proof.context) option) ->
    Context.generic -> Context.generic
  val term_uncheck': int -> string ->
    (term list -> Proof.context -> (term list * Proof.context) option) ->
    Context.generic -> Context.generic
end

structure Syntax_Phases: SYNTAX_PHASES =
struct

(** markup logical entities **)

fun markup_class ctxt c =
  [Name_Space.markup (Type.class_space (Proof_Context.tsig_of ctxt)) c, Markup.tclass];

fun markup_type ctxt c =
  [Name_Space.markup (Type.type_space (Proof_Context.tsig_of ctxt)) c, Markup.tconst];

fun markup_const ctxt c =
  [Name_Space.markup (Consts.space_of (Proof_Context.consts_of ctxt)) c, Markup.const];

fun markup_free ctxt x =
  let
    val strict = Variable.is_body ctxt andalso not (Syntax.is_pretty_global ctxt);
    val m1 = if Variable.is_fixed ctxt x orelse strict then [Variable.markup_fixed ctxt x] else [];
    val m2 = Variable.markup ctxt x;
  in m1 @ [m2] end;

fun markup_var xi = [Markup.name (Term.string_of_vname xi) Markup.var];

fun markup_bound def (ps: Term_Position.T list) (name, id) =
  Markup.bound ::
    map (fn {pos, ...} => Position.make_entity_markup def id Markup.boundN (name, pos)) ps;

fun markup_entity ctxt c =
  Syntax.get_consts (Proof_Context.syntax_of ctxt) c
  |> maps (Lexicon.unmark_entity
     {case_class = markup_class ctxt,
      case_type = markup_type ctxt,
      case_const = markup_const ctxt,
      case_fixed = markup_free ctxt,
      case_default = K []});

(** reports of implicit variable scope **)

fun reports_of_scope [] = []
  | reports_of_scope (def_pos :: ps) =
      let
        val id = serial ();
        fun entity def = Position.make_entity_markup def id "" ("", def_pos);
      in
        map (rpair Markup.bound) (def_pos :: ps) @
        ((def_pos, entity {def = true}) :: map (rpair (entity {def = false})) ps)
      end;

(** decode parse trees **)

(* decode_sort *)

fun decode_sort tm =
  let
    fun err () = raise TERM ("decode_sort: bad encoding of classes", [tm]);

    fun class s = Lexicon.unmark_class s handle Fail _ => err ();

    fun classes (Const (s, _)) = [class s]
      | classes (Const ("_classes", _) $ Const (s, _) $ cs) = class s :: classes cs
      | classes _ = err ();

    fun sort (Const ("_dummy_sort", _)) = dummyS
      | sort (Const ("_topsort", _)) = []
      | sort (Const ("_sort", _) $ cs) = classes cs
      | sort (Const (s, _)) = [class s]
      | sort _ = err ();
  in sort tm end;

(* decode_typ *)

fun decode_pos (Free (x, _)) = if Term_Position.detect x then SOME x else NONE
  | decode_pos _ = NONE;

fun decode_typ tm =
  let
    fun err () = raise TERM ("decode_typ: bad encoding of type", [tm]);

    fun typ ps sort tm =
      (case tm of
        Const ("_tfree", _) $ t => typ ps sort t
      | Const ("_tvar", _) $ t => typ ps sort t
      | Const ("_ofsort", _) $ t $ s =>
          (case decode_pos s of
            SOME p => typ (p :: ps) sort t
          | NONE =>
              if is_none sort then typ ps (SOME (decode_sort s)) t
              else err ())
      | Const ("_dummy_ofsort", _) $ s => TFree ("'_dummy_", decode_sort s)
      | Free (x, _) => TFree (x, ps @ the_default dummyS sort)
      | Var (xi, _) => TVar (xi, ps @ the_default dummyS sort)
      | _ =>
          if null ps andalso is_none sort then
            let
              val (head, args) = Term.strip_comb tm;
              val a =
                (case head of
                  Const (c, _) => (Lexicon.unmark_type c handle Fail _ => err ())
                | _ => err ());
            in Type (a, map (typ [] NONE) args) end
          else err ());
  in typ [] NONE tm end;

(* parsetree_to_ast *)

fun parsetree_literals (Parser.Markup (_, ts)) = maps parsetree_literals ts
  | parsetree_literals (Parser.Node _) = []
  | parsetree_literals (Parser.Tip tok) =
      if Lexicon.is_literal tok andalso
        not (null (Lexicon.literal_markup (Lexicon.str_of_token tok)))
      then filter Position.is_reported [Lexicon.pos_of_token tok] else [];

fun parsetree_to_ast ctxt trf parsetree =
  let
    val reports = Unsynchronized.ref ([]: Position.report_text list);
    fun report pos = Term_Position.store_reports reports [pos];
    val append_reports = Position.append_reports reports;

    fun report_pos tok =
      if Lexicon.is_literal tok andalso null (Lexicon.literal_markup (Lexicon.str_of_token tok))
      then Position.none else Lexicon.pos_of_token tok;

    val markup_cache = Symtab.apply_unsynchronized_cache (markup_entity ctxt);

    val ast_of_pos = Ast.Variable o Term_Position.encode;
    val ast_of_position = Ast.Variable o Term_Position.encode_no_syntax o single o report_pos;

    val syntax_ast_of_pos = Ast.Variable o Term_Position.encode_syntax;
    val syntax_ast_of_position = syntax_ast_of_pos o single o report_pos;
    fun syntax_ast_of_position' a = Ast.constrain (Ast.Constant a) o syntax_ast_of_position;

    fun asts_of_token tok =
      if Lexicon.valued_token tok
      then [Ast.Variable (Lexicon.str_of_token tok)]
      else [];

    fun asts_of_position c tok =
      [Ast.Appl [Ast.Constant c, ast_of (Parser.Tip tok), ast_of_position tok]]

    and asts_of (Parser.Markup ({markup, range = (pos, _), ...}, pts)) =
          let
            val asts = maps asts_of pts;
            val _ = append_reports (map (pair pos) markup);
          in asts end
      | asts_of (Parser.Node ({const = "", ...}, pts)) = maps asts_of pts
      | asts_of (Parser.Node ({const = "_class_name", ...}, [Parser.Tip tok])) =
          let
            val pos = report_pos tok;
            val (c, rs) = Proof_Context.check_class ctxt (Lexicon.str_of_token tok, pos);
            val _ = append_reports rs;
          in [Ast.Constant (Lexicon.mark_class c)] end
      | asts_of (Parser.Node ({const = "_type_name", ...}, [Parser.Tip tok])) =
          let
            val pos = report_pos tok;
            val (c, rs) =
              Proof_Context.check_type_name {proper = true, strict = false} ctxt
                (Lexicon.str_of_token tok, pos)
              |>> dest_Type_name;
            val _ = append_reports rs;
          in [Ast.Constant (Lexicon.mark_type c)] end
      | asts_of (Parser.Node ({const = "_DDDOT", ...}, [Parser.Tip tok])) =
          [Ast.constrain (Ast.Variable Auto_Bind.dddot_vname) (syntax_ast_of_position tok)]
      | asts_of (Parser.Node ({const = "_position", ...}, [Parser.Tip tok])) =
          asts_of_position "_constrain" tok
      | asts_of (Parser.Node ({const = "_position_sort", ...}, [Parser.Tip tok])) =
          asts_of_position "_ofsort" tok
      | asts_of (Parser.Node ({const = a as "\<^const>Pure.dummy_pattern", ...}, [Parser.Tip tok])) =
          [syntax_ast_of_position' a tok]
      | asts_of (Parser.Node ({const = a as "_idtdummy", ...}, [Parser.Tip tok])) =
          [syntax_ast_of_position' a tok]
      | asts_of (Parser.Node ({const = "_idtypdummy", ...}, pts as [Parser.Tip tok, _, _])) =
          let val args = maps asts_of pts
          in [Ast.Appl (Ast.Constant "_constrain" :: syntax_ast_of_position' "_idtdummy" tok :: args)] end
      | asts_of (Parser.Node ({const = a, ...}, pts)) =
          let
            val ps = map Term_Position.syntax (maps parsetree_literals pts);
            val args = maps asts_of pts;
            fun head () =
              if not (null ps) andalso (Lexicon.is_fixed a orelse Lexicon.is_const a)
              then Ast.constrain (Ast.Constant a) (ast_of_pos ps)
              else Ast.Constant a;
            val _ = List.app (fn pos => report pos markup_cache a) ps;
          in
            [case trf a of
              SOME f => f ctxt args
            | NONE => Ast.mk_appl (head ()) args]
          end
      | asts_of (Parser.Tip tok) = asts_of_token tok

    and ast_of pt =
      (case asts_of pt of
        [ast] => ast
      | asts => raise Ast.AST ("parsetree_to_ast: malformed parsetree", asts));

    val ast = Exn.result ast_of parsetree;
  in (! reports, ast) end;

(* ast_to_term *)

fun ast_to_term ctxt trf =
  let
    fun trans a args =
      (case trf a of
        NONE => Term.list_comb (Syntax.const a, args)
      | SOME f => f ctxt args);

    fun term_of (Ast.Constant a) = trans a []
      | term_of (Ast.Variable x) = Lexicon.read_var x
      | term_of (Ast.Appl (Ast.Constant a :: (asts as _ :: _))) =
          trans a (map term_of asts)
      | term_of (Ast.Appl (ast :: (asts as _ :: _))) =
          Term.list_comb (term_of ast, map term_of asts)
      | term_of (ast as Ast.Appl _) = raise Ast.AST ("ast_to_term: malformed ast", [ast]);
  in term_of end;

(* decode_term -- transform parse tree into raw term *)

fun decode_const ctxt (c, ps) =
  Proof_Context.check_const {proper = true, strict = false} ctxt (c, ps)
  |>> dest_Const_name;

fun decode_term ctxt =
  let
    val markup_free_cache = Symtab.apply_unsynchronized_cache (markup_free ctxt);
    val markup_const_cache = Symtab.apply_unsynchronized_cache (markup_const ctxt);

    fun decode (result as (_: Position.report_text list, Exn.Exn _)) = result
      | decode (reports0, Exn.Res tm) =
          let
            val reports = Unsynchronized.ref reports0;
            fun report ps = Term_Position.store_reports reports ps;
            val append_reports = Position.append_reports reports;

            fun decode ps qs bs (Const ("_constrain", _) $ t $ typ) =
                  (case Term_Position.decode_position typ of
                    SOME (ps', T) => Type.constraint T (decode (ps' @ ps) qs bs t)
                  | NONE => Type.constraint (decode_typ typ) (decode ps qs bs t))
              | decode ps qs bs (Const ("_constrainAbs", _) $ t $ typ) =
                  (case Term_Position.decode_position typ of
                    SOME (qs', T) => Type.constraint (T --> dummyT) (decode ps (qs' @ qs) bs t)
                  | NONE => Type.constraint (decode_typ typ --> dummyT) (decode ps qs bs t))
              | decode _ qs bs (Abs (x, T, t)) =
                  let
                    val id = serial ();
                    val _ = report qs (markup_bound {def = true} qs) (x, id);
                  in Abs (x, T, decode [] [] ((qs, (x, id)) :: bs) t) end
              | decode _ _ bs (t $ u) = decode [] [] bs t $ decode [] [] bs u
              | decode ps _ _ (Const (a, T)) =
                  (case try Lexicon.unmark_fixed a of
                    SOME x => Free (x, T)
                  | NONE =>
                      (case try Lexicon.unmark_const a of
                        SOME c => Const (c, T)
                      | NONE =>
                          let val c = #1 (decode_const ctxt (a, []))
                          in report ps markup_const_cache c; Const (c, T) end))
              | decode ps _ _ (Free (a, T)) =
                  ((Name.reject_internal (a, map #pos ps) handle ERROR msg =>
                      error (msg ^ Proof_Context.consts_completion_message ctxt (a, map #pos ps)));
                    (case Proof_Context.lookup_free ctxt a of
                      SOME x => (report ps markup_free_cache x; Free (x, T))
                    | NONE =>
                        let
                          val (c, rs) = decode_const ctxt (a, map #pos ps);
                          val _ = append_reports rs;
                        in Const (c, T) end))
              | decode ps _ _ (Var (xi, T)) = (report ps markup_var xi; Var (xi, T))
              | decode ps _ bs (t as Bound i) =
                  (case try (nth bs) i of
                    SOME (qs, (x, id)) => (report ps (markup_bound {def = false} qs) (x, id); t)
                  | NONE => t);

            val tm' = Exn.result (fn () => decode [] [] [] tm) ();
          in (! reports, tm') end;

  in decode end;

(** parse **)

(* results *)

fun proper_results results = map_filter (fn (y, Exn.Res x) => SOME (y, x) | _ => NONE) results;
fun failed_results results = map_filter (fn (y, Exn.Exn e) => SOME (y, e) | _ => NONE) results;

fun report_result ctxt pos ambig_msgs results =
  (case (proper_results results, failed_results results) of
    ([], (reports, exn) :: _) => (Context_Position.reports_text ctxt reports; Exn.reraise exn)
  | ([(reports, x)], _) => (Context_Position.reports_text ctxt reports; x)
  | _ =>
      if null ambig_msgs then
        error ("Parse error: ambiguous syntax" ^ Position.here pos)
      else error (cat_lines ambig_msgs));

(* parse raw asts *)

fun parse_asts ctxt raw root (syms, pos) =
  let
    val syn = Proof_Context.syntax_of ctxt;
    val ast_tr = Syntax.parse_ast_translation syn;

    val toks = Syntax.tokenize syn raw syms;
    val _ = Context_Position.reports ctxt (maps Lexicon.reports_of_token toks);

    val pts = Syntax.parse syn root (filter Lexicon.is_proper toks)
      handle ERROR msg =>
        error (msg ^ Markup.markup_report (implode (map (Lexicon.reported_token_range ctxt) toks)));
    val len = length pts;

    val limit = Config.get ctxt Syntax.ambiguity_limit;
    val ambig_msgs =
      if len <= 1 then []
      else
        [cat_lines
          (("Ambiguous input" ^ Position.here (Position.no_range_position pos) ^
            " produces " ^ string_of_int len ^ " parse trees" ^
            (if len <= limit then "" else " (" ^ string_of_int limit ^ " displayed)") ^ ":") ::
            map (Pretty.string_of o Pretty.item o Parser.pretty_tree) (take limit pts))];

  in (ambig_msgs, map (parsetree_to_ast ctxt ast_tr) pts) end;

fun parse_tree ctxt root input =
  let
    val syn = Proof_Context.syntax_of ctxt;
    val tr = Syntax.parse_translation syn;
    val normalize = Ast.normalize ctxt {permissive_constraints = false} (Syntax.parse_rules syn);
    val (ambig_msgs, asts) = parse_asts ctxt {raw = false} root input;
    val results = (map o apsnd o Exn.maps_res) (normalize #> Exn.result (ast_to_term ctxt tr)) asts;
  in (ambig_msgs, results) end;

(* parse logical entities *)

fun parse_failed ctxt pos msg kind =
  cat_error msg ("Failed to parse " ^ kind ^
    Markup.markup_report (Context_Position.reported_text ctxt pos (Markup.bad ()) ""));

fun parse_sort ctxt =
  Syntax.parse_input ctxt Term_XML.Decode.sort Markup.language_sort
    (fn (syms, pos) =>
      parse_tree ctxt "sort" (syms, pos)
      |> uncurry (report_result ctxt pos)
      |> decode_sort
      |> Type.minimize_sort (Proof_Context.tsig_of ctxt)
      handle ERROR msg => parse_failed ctxt pos msg "sort");

fun parse_typ ctxt =
  Syntax.parse_input ctxt Term_XML.Decode.typ Markup.language_type
    (fn (syms, pos) =>
      parse_tree ctxt "type" (syms, pos)
      |> uncurry (report_result ctxt pos)
      |> decode_typ
      handle ERROR msg => parse_failed ctxt pos msg "type");

fun parse_term is_prop ctxt =
  let
    val (markup, kind, root, constrain) =
      if is_prop
      then (Markup.language_prop, "prop", "prop", Type.constraint propT)
      else (Markup.language_term, "term", Config.get ctxt Syntax.root, I);
    val decode = constrain o Term_XML.Decode.term (Proof_Context.consts_of ctxt);
  in
    Syntax.parse_input ctxt decode markup
      (fn (syms, pos) =>
        let
          val (ambig_msgs, results) = parse_tree ctxt root (syms, pos) ||> map (decode_term ctxt);
          val parsed_len = length (proper_results results);

          val ambiguity_warning = Config.get ctxt Syntax.ambiguity_warning;
          val limit = Config.get ctxt Syntax.ambiguity_limit;

          (*brute-force disambiguation via type-inference*)
          fun check t =
            (Syntax.check_term (Proof_Context.allow_dummies ctxt) (constrain t); Exn.Res t)
              handle exn as ERROR _ => Exn.Exn exn;

          fun par_map xs = Par_List.map' {name = "Syntax_Phases.parse_term", sequential = false} xs;
          val results' =
            if parsed_len > 1 then (grouped 10 par_map o apsnd o Exn.maps_res) check results
            else results;
          val reports' = fst (hd results');

          val errs = map snd (failed_results results');
          val checked = map snd (proper_results results');
          val checked_len = length checked;
        in
          if checked_len = 0 then
            report_result ctxt pos []
              [(reports', Exn.Exn (Exn.EXCEPTIONS (map ERROR ambig_msgs @ errs)))]
          else if checked_len = 1 then
            (if not (null ambig_msgs) andalso ambiguity_warning andalso
                Context_Position.is_visible ctxt then
              warning
                (cat_lines (ambig_msgs @
                  ["Fortunately, only one parse tree is well-formed and type-correct,\n\
                   \but you may still want to disambiguate your grammar or your input."]))
             else (); report_result ctxt pos [] results')
          else
            report_result ctxt pos []
              [(reports', Exn.Exn (ERROR (cat_lines (ambig_msgs @
                (("Ambiguous input\n" ^ string_of_int checked_len ^ " terms are type correct" ^
                  (if checked_len <= limit then ""
                   else " (" ^ string_of_int limit ^ " displayed)") ^ ":") ::
                  map (Pretty.string_of o Pretty.item o single o Syntax.pretty_term ctxt)
                    (take limit checked))))))]
        end handle ERROR msg => parse_failed ctxt pos msg kind)
  end;

(* translation rules *)

fun parse_trrule ctxt = Syntax.map_trrule (fn (raw_root, raw_pattern) =>
  let
    val root = raw_root
      |> Proof_Context.read_type_name {proper = true, strict = false} ctxt
      |> dest_Type_name;

    val syn = Proof_Context.syntax_of ctxt;

    val reports = Unsynchronized.ref ([]: Position.report_text list);
    fun report ps = Term_Position.store_reports reports ps;

    val markup_cache = Symtab.apply_unsynchronized_cache (markup_entity ctxt);

    fun decode_const ps c = (report ps markup_cache c; Ast.Constant c);
    fun decode_var ps x = (report ps (fn () => [Markup.name x Markup.free]) (); Ast.Variable x);
    fun decode_appl ps asts = Ast.Appl (map (decode ps) asts)
    and decode _ (ast as Ast.Constant _) = ast
      | decode ps (Ast.Variable x) =
          if Syntax.is_const syn x orelse Long_Name.is_qualified x
          then decode_const ps x
          else decode_var ps x
      | decode ps (Ast.Appl (asts as (Ast.Constant c :: ast :: Ast.Variable x :: args))) =
          if member (op =) Term_Position.markers c then
            (case Term_Position.decode x of
              [] => decode_appl ps asts
            | ps' => Ast.mk_appl (decode (ps' @ ps) ast) (map (decode ps) args))
          else decode_appl ps asts
      | decode ps (Ast.Appl asts) = decode_appl ps asts;

    val source = Syntax.read_input raw_pattern;
    val pos = Input.pos_of source;
    val syms = Input.source_explode source;
    val ast =
      parse_asts ctxt {raw = true} root (syms, pos)
      |> uncurry (report_result ctxt pos)
      |> decode [];
    val _ = Context_Position.reports_text ctxt (! reports);
  in ast end);

(** encode parse trees **)

(* term_of_sort *)

fun term_of_sort S =
  let
    val class = Syntax.const o Lexicon.mark_class;

    fun classes [c] = class c
      | classes (c :: cs) = Syntax.const "_classes" $ class c $ classes cs;
  in
    if S = dummyS then Syntax.const "_dummy_sort"
    else
      (case S of
        [] => Syntax.const "_topsort"
      | [c] => class c
      | cs => Syntax.const "_sort" $ classes cs)
  end;

(* term_of_typ *)

fun term_of_typ ctxt ty =
  let
    val show_sorts = Config.get ctxt show_sorts orelse Config.get ctxt show_markup;

    fun ofsort t raw_S =
      if show_sorts then
        let val S = #2 (Term_Position.decode_positionS raw_S)
        in if S = dummyS then t else Syntax.const "_ofsort" $ t $ term_of_sort S end
      else t;

    fun term_of (Type (a, Ts)) =
          Term.list_comb (Syntax.const (Lexicon.mark_type a), map term_of Ts)
      | term_of (TFree (x, S)) =
          if Term_Position.detect x then Syntax.free x
          else ofsort (Syntax.const "_tfree" $ Syntax.free x) S
      | term_of (TVar (xi, S)) = ofsort (Syntax.const "_tvar" $ Syntax.var xi) S;
  in term_of ty end;

(* simple_ast_of *)

fun simple_ast_of ctxt =
  let
    val tune_var = if Config.get ctxt show_question_marks then I else unprefix "?";
    fun ast_of (Const (c, _)) = Ast.Constant c
      | ast_of (Free (x, _)) = Ast.Variable x
      | ast_of (Var (xi, _)) = Ast.Variable (tune_var (Term.string_of_vname xi))
      | ast_of (t as _ $ _) =
          let val (f, args) = strip_comb t
          in Ast.mk_appl (ast_of f) (map ast_of args) end
      | ast_of (Bound i) = Ast.Appl [Ast.Constant "_loose", Ast.Variable ("B." ^ string_of_int i)]
      | ast_of (Abs _) = raise Fail "simple_ast_of: Abs";
  in ast_of end;

(* sort_to_ast and typ_to_ast *)

fun ast_of_termT ctxt trf tm =
  let
    val ctxt' = Config.put show_sorts false ctxt;
    fun ast_of (t as Const ("_tfree", _) $ Free _) = simple_ast_of ctxt t
      | ast_of (t as Const ("_tvar", _) $ Var _) = simple_ast_of ctxt t
      | ast_of (Const (a, _)) = trans a []
      | ast_of (t as _ $ _) =
          (case strip_comb t of
            (Const (a, _), args) => trans a args
          | (f, args) => Ast.Appl (map ast_of (f :: args)))
      | ast_of t = simple_ast_of ctxt t
    and trans a args = ast_of (trf a ctxt' dummyT args)
      handle Match => Ast.mk_appl (Ast.Constant a) (map ast_of args);
  in ast_of tm end;

fun sort_to_ast ctxt trf S = ast_of_termT ctxt trf (term_of_sort S);
fun typ_to_ast ctxt trf T = ast_of_termT ctxt trf (term_of_typ ctxt T);

(* term_to_ast *)

local

fun mark_aprop tm =
  let
    fun aprop t = Syntax.const "_aprop" $ t;

    fun is_prop Ts t =
      Type_Annotation.clean (Type_Annotation.fastype_of Ts t) = propT
        handle TERM _ => false;

    fun is_term (Const ("Pure.term", _) $ _) = true
      | is_term _ = false;

    fun mark _ (t as Const _) = t
      | mark Ts (t as Const ("_bound", _) $ u) = if is_prop Ts u then aprop t else t
      | mark Ts (t as Free _) = if is_prop Ts t then aprop t else t
      | mark Ts (t as Var _) = if is_prop Ts t then aprop t else t
      | mark Ts (t as Bound _) = if is_prop Ts t then aprop t else t
      | mark Ts (Abs (x, T, t)) = Abs (x, T, mark (T :: Ts) t)
      | mark Ts (t as t1 $ (t2 as Const ("Pure.type", Type ("itself", [T])))) =
          if is_prop Ts t andalso not (is_term t) then Const ("_type_prop", T) $ mark Ts t1
          else mark Ts t1 $ mark Ts t2
      | mark Ts (t as t1 $ t2) =
          (if is_Const (Term.head_of t) orelse not (is_prop Ts t) then I else aprop)
            (mark Ts t1 $ mark Ts t2);
  in mark [] tm end;

fun prune_types tm =
  let
    fun regard t t' seen =
      if Type_Annotation.is_omitted (Type_Annotation.fastype_of [] t) then (t, seen)
      else if member (op aconv) seen t then (t', seen)
      else (t, t :: seen);

    fun prune (t as Const _, seen) = (t, seen)
      | prune (t as Free (x, T), seen) = regard t (Free (x, Type_Annotation.ignore_type T)) seen
      | prune (t as Var (xi, T), seen) = regard t (Var (xi, Type_Annotation.ignore_type T)) seen
      | prune (t as Bound _, seen) = (t, seen)
      | prune (Abs (x, T, t), seen) =
          let val (t', seen') = prune (t, seen);
          in (Abs (x, T, t'), seen') end
      | prune (t1 $ t2, seen) =
          let
            val (t1', seen') = prune (t1, seen);
            val (t2', seen'') = prune (t2, seen');
          in (t1' $ t2', seen'') end;
  in #1 (prune (tm, [])) end;

fun mark_atoms ctxt tm =
  let
    val {structs, fixes} = Syntax_Trans.get_idents ctxt;
    val show_structs = Config.get ctxt show_structs;

    fun mark ((t as Const (c, _)) $ u) =
          if member (op =) Pure_Thy.token_markers c
          then t $ u else mark t $ mark u
      | mark (t $ u) = mark t $ mark u
      | mark (Abs (x, T, t)) = Abs (x, T, mark t)
      | mark (t as Const (c, T)) =
          if Proof_Context.is_syntax_const ctxt c then t
          else Const (Lexicon.mark_const c, T)
      | mark (t as Free (x, T)) =
          let val i = find_index (fn s => s = x) structs + 1 in
            if i = 0 andalso member (op =) fixes x then
              Const (Lexicon.mark_fixed x, T)
            else if i = 1 andalso not show_structs then
              Syntax.const "_struct" $ Syntax.const "_indexdefault"
            else Syntax.const "_free" $ t
          end
      | mark (t as Var (xi, T)) =
          if xi = Auto_Bind.dddot_indexname then Const ("_DDDOT", T)
          else Syntax.const "_var" $ t
      | mark a = a;
  in mark tm end;

in

fun term_to_ast ctxt trf =
  let
    val show_types = Config.get ctxt show_types orelse Config.get ctxt show_sorts;
    val show_markup = Config.get ctxt show_markup;
    val show_consts_markup = Config.get ctxt show_consts_markup;

    val show_const_types = show_markup andalso show_consts_markup;
    val show_var_types = show_types orelse show_markup;
    val clean_var_types = show_markup andalso not show_types;

    fun constrain clean T ast =
      let val U = Type_Annotation.print clean T in
        if U = dummyT then ast
        else Ast.constrain ast (ast_of_termT ctxt trf (term_of_typ ctxt U))
      end;

    fun main tm =
      (case strip_comb tm of
        (t as Abs _, ts) => Ast.mk_appl (main (Syntax_Trans.abs_tr' ctxt t)) (map main ts)
      | ((c as Const ("_free", _)), Free (x, T) :: ts) =>
          Ast.mk_appl (variable (c $ Syntax.free x) T) (map main ts)
      | ((c as Const ("_var", _)), Var (xi, T) :: ts) =>
          Ast.mk_appl (variable (c $ Syntax.var xi) T) (map main ts)
      | ((c as Const ("_bound", B)), Free (x, T) :: ts) =>
          let
            val X =
              if show_markup andalso not show_types orelse B <> dummyT then T
              else dummyT;
          in Ast.mk_appl (variable (c $ Syntax.free x) X) (map main ts) end
      | (Const ("_idtdummy", T), ts) =>
          Ast.mk_appl (variable (Syntax.const "_idtdummy") T) (map main ts)
      | (Const (c, T), ts) => constant c T ts
      | (t, ts) => Ast.mk_appl (simple_ast_of ctxt t) (map main ts))

    and constant a T args =
      (case SOME (trf a ctxt (Type_Annotation.smash T) args) handle Match => NONE of
        SOME t => main t
      | NONE =>
          let val c = Ast.Constant a |> show_const_types ? constrain {clean = true} T
          in Ast.mk_appl c (map main args) end)

    and variable v T =
      simple_ast_of ctxt v
      |> show_var_types ? constrain {clean = clean_var_types} T;
  in
    mark_aprop
    #> show_types ? prune_types
    #> Variable.revert_bounds ctxt
    #> mark_atoms ctxt
    #> main
  end;

end;

(** unparse **)

local

fun pretty_free ctxt x =
  Pretty.marks_str (markup_free ctxt x, Proof_Context.extern_fixed ctxt x);

fun pretty_var s =
  (case Lexicon.read_variable s of
    SOME (x, i) =>
      (case try Name.dest_skolem x of
        SOME x' => (Markup.skolem, Term.string_of_vname (x', i))
      | NONE => (Markup.var, s))
  | NONE => (Markup.var, s))
  |> Pretty.mark_str;

val typing_elem = YXML.output_markup_elem Markup.typing;
val sorting_elem = YXML.output_markup_elem Markup.sorting;

fun exclude_consts ast ctxt =
  let
    val s = the_default "" (Syntax_Trans.default_struct ctxt);

    fun exclude (Ast.Appl [Ast.Constant "_struct", Ast.Constant "_indexdefault"]) = Symset.insert s
      | exclude (Ast.Constant c) =
          if Lexicon.is_fixed c then Symset.insert (Lexicon.unmark_fixed c) else I
      | exclude (Ast.Appl [Ast.Constant "_bound", Ast.Variable x]) = Symset.insert x
      | exclude (Ast.Appl [Ast.Constant "_free", Ast.Variable x]) = Symset.insert x
      | exclude (Ast.Appl asts) = fold exclude asts
      | exclude _ = I;
  in Proof_Context.exclude_consts (Symset.build (exclude ast)) ctxt end;

fun unparse_t t_to_ast pretty_flags language_markup ctxt0 t =
  let
    val syn = Proof_Context.syntax_of ctxt0;
    val prtabs = Syntax.print_mode_tabs syn;
    val trf = Syntax.print_ast_translation syn;

    val ast = t_to_ast ctxt0 (Syntax.print_translation syn) t;
    val ctxt = exclude_consts ast ctxt0;

    val show_markup = Config.get ctxt show_markup;
    val show_sorts = Config.get ctxt show_sorts;
    val show_types = Config.get ctxt show_types orelse show_sorts;

    val pretty_free_cache = Symtab.apply_unsynchronized_cache (pretty_free ctxt);
    val pretty_var_cache = Symtab.apply_unsynchronized_cache pretty_var;

    val markup_syntax_cache =
      Symtab.apply_unsynchronized_cache (markup_entity ctxt #> map (Markup.syntax_properties true));

    val pretty_entity_cache =
      Symtab.apply_unsynchronized_cache (fn a =>
        let
          val m1 = if Syntax.is_const syn a then [Markup.bad ()] else [];
          val m2 = markup_entity ctxt a;
        in Pretty.marks_str (m1 @ m2, Proof_Context.extern_entity ctxt a) end);

    val cache1 = Unsynchronized.ref (Ast.Table.empty: Markup.output Pretty.block Ast.Table.table);
    val cache2 = Unsynchronized.ref (Ast.Table.empty: Markup.output Pretty.block Ast.Table.table);

    fun token_trans "_tfree" x = SOME (Pretty.mark_str (Markup.tfree, x))
      | token_trans "_tvar" x = SOME (Pretty.mark_str (Markup.tvar, x))
      | token_trans "_free" x = SOME (pretty_free_cache x)
      | token_trans "_bound" x = SOME (Pretty.mark_str (Markup.bound, x))
      | token_trans "_loose" x = SOME (Pretty.mark_str (Markup.bad (), x))
      | token_trans "_var" x = SOME (pretty_var_cache x)
      | token_trans "_numeral" x = SOME (Pretty.mark_str (Markup.numeral, x))
      | token_trans "_inner_string" x = SOME (Pretty.mark_str (Markup.inner_string, x))
      | token_trans _ _ = NONE;

    fun markup_trans a [Ast.Variable x] = token_trans a x
      | markup_trans "_constrain" [t, ty] = constrain_trans t ty
      | markup_trans "_idtyp" [t, ty] = constrain_trans t ty
      | markup_trans "_ofsort" [ty, s] = ofsort_trans ty s
      | markup_trans _ _ = NONE

    and constrain_trans t ty =
      if show_markup andalso not show_types
      then SOME (markup_ast true t ty) else NONE

    and ofsort_trans ty s =
      if show_markup andalso not show_sorts
      then SOME (markup_ast false ty s) else NONE

    and pretty_ast flags m =
      Printer.pretty flags ctxt prtabs
        {trf = trf, constrain_block = constrain_block true, constrain_trans = constrain_trans,
          markup_trans = markup_trans, markup_syntax = markup_syntax_cache,
          pretty_entity = pretty_entity_cache}
      #> Pretty.markup m

    and markup_ast is_typing a A =
      Pretty.make_block (constrain_block is_typing A)
        [pretty_ast (if is_typing then pretty_flags else Printer.type_mode_flags) Markup.empty a]

    and constrain_block is_typing A =
      let val cache = if is_typing then cache1 else cache2 in
        (case Ast.Table.lookup (! cache) A of
          SOME block => block
        | NONE =>
            let
              val ((bg1, bg2), en) = if is_typing then typing_elem else sorting_elem;
              val B = Pretty.symbolic_output (pretty_ast Printer.type_mode_flags Markup.empty A);
              val bg = implode (bg1 :: Bytes.contents B @ [bg2]);
              val block = {markup = (bg, en), open_block = false, consistent = false, indent = 0};
            in Unsynchronized.change cache (Ast.Table.update (A, block)); block end)
      end;
  in
    Ast.normalize ctxt {permissive_constraints = true} (Syntax.print_rules syn) ast
    |> pretty_ast pretty_flags language_markup
  end;

in

val unparse_sort = unparse_t sort_to_ast Printer.type_mode_flags (Markup.language_sort false);
val unparse_typ = unparse_t typ_to_ast Printer.type_mode_flags (Markup.language_type false);

fun unparse_term ctxt =
  let
    val thy = Proof_Context.theory_of ctxt;
    val pretty_flags = {type_mode = false, curried = not (Pure_Thy.old_appl_syntax thy)};
  in unparse_t term_to_ast pretty_flags (Markup.language_term false) ctxt end;

end;

(** translations **)

(* type propositions *)

fun type_prop_tr' ctxt T [Const ("\<^const>Pure.sort_constraint", _)] =
      Syntax.const "_sort_constraint" $ term_of_typ (Config.put show_sorts true ctxt) T
  | type_prop_tr' ctxt T [t] =
      Syntax.const "_ofclass" $ term_of_typ ctxt T $ t
  | type_prop_tr' _ T ts = raise TYPE ("type_prop_tr'", [T], ts);

(* type reflection *)

fun type_tr' ctxt (ty as Type ("itself", [T])) ts =
      Term.list_comb (Const ("_TYPE", ty) $ term_of_typ ctxt T, ts)
  | type_tr' _ _ _ = raise Match;

(* type constraints *)

fun type_constraint_tr' ctxt (Type ("fun", [T, _])) (t :: ts) =
      Term.list_comb (Syntax.const "_constrain" $ t $ term_of_typ ctxt T, ts)
  | type_constraint_tr' _ _ _ = raise Match;

(* authentic syntax *)

fun const_ast_tr intern ctxt asts =
  (case asts of
    [Ast.Appl [Ast.Constant "_constrain", Ast.Variable c, T as Ast.Variable p]] =>
      let
        val (c', reports) = decode_const ctxt (c, map #pos (Term_Position.decode p));
        val d = if intern then (Context_Position.reports ctxt reports; Lexicon.mark_const c') else c;
      in Ast.constrain (Ast.Constant d) T end
  | _ => raise Ast.AST ("const_ast_tr", asts));

(* setup translations *)

val _ = Theory.setup
(Sign.parse_ast_translation
   [("_context_const", const_ast_tr true),
    ("_context_xconst", const_ast_tr false)] #>
  Sign.typed_print_translation
   [("_type_prop", type_prop_tr'),
    ("\<^const>Pure.type", type_tr'),
    ("_type_constraint_", type_constraint_tr')]);

(** check/uncheck **)

(* context-sensitive (un)checking *)

type key = int * bool;

structure Checks = Generic_Data
(
  type 'a check = 'a list -> Proof.context -> ('a list * Proof.context) option;
  type T =
    ((key * ((string * typ check) * stamp) list) list *
     (key * ((string * term check) * stamp) list) list);
  val empty = ([], []);
  fun merge ((typ_checks1, term_checks1), (typ_checks2, term_checks2)) : T =
    (AList.join (op =) (K (Library.merge (eq_snd (op =)))) (typ_checks1, typ_checks2),
     AList.join (op =) (K (Library.merge (eq_snd (op =)))) (term_checks1, term_checks2));
);

fun print_checks ctxt =
  let
    fun split_checks checks =
      List.partition (fn ((_, un), _) => not un) checks
      |> apply2 (map (fn ((i, _), fs) => (i, map (fst o fst) fs))
          #> sort (int_ord o apply2 fst));
    fun pretty_checks kind checks =
      checks |> map (fn (i, names) => Pretty.block
        [Pretty.str (kind ^ " (stage " ^ signed_string_of_int i ^ "):"),
          Pretty.brk 1, Pretty.strs names]);

    val (typs, terms) = Checks.get (Context.Proof ctxt);
    val (typ_checks, typ_unchecks) = split_checks typs;
    val (term_checks, term_unchecks) = split_checks terms;
  in
    pretty_checks "typ_checks" typ_checks @
    pretty_checks "term_checks" term_checks @
    pretty_checks "typ_unchecks" typ_unchecks @
    pretty_checks "term_unchecks" term_unchecks
  end |> Pretty.chunks |> Pretty.writeln;

local

fun context_check which (key: key) name f =
  Checks.map (which (AList.map_default op = (key, []) (cons ((name, f), stamp ()))));

fun simple_check eq f xs ctxt =
  let val xs' = f ctxt xs
  in if eq_list eq (xs, xs') then NONE else SOME (xs', ctxt) end;

in

fun typ_check' stage = context_check apfst (stage, false);
fun term_check' stage = context_check apsnd (stage, false);
fun typ_uncheck' stage = context_check apfst (stage, true);
fun term_uncheck' stage = context_check apsnd (stage, true);

fun typ_check key name f = typ_check' key name (simple_check (op =) f);
fun term_check key name f = term_check' key name (simple_check (op aconv) f);
fun typ_uncheck key name f = typ_uncheck' key name (simple_check (op =) f);
fun term_uncheck key name f = term_uncheck' key name (simple_check (op aconv) f);

end;

local

fun check_stage fs = perhaps_loop (perhaps_apply (map uncurry fs));
fun check_all fs = perhaps_apply (map check_stage fs);

fun check which uncheck ctxt0 xs0 =
  let
    val funs = which (Checks.get (Context.Proof ctxt0))
      |> map_filter (fn ((i, u), fs) => if uncheck = u then SOME (i, map (snd o fst) fs) else NONE)
      |> Library.sort (int_ord o apply2 fst) |> map snd
      |> not uncheck ? map rev;
  in #1 (perhaps (check_all funs) (xs0, ctxt0)) end;

val apply_typ_check = check fst false;
val apply_term_check = check snd false;
val apply_typ_uncheck = check fst true;
val apply_term_uncheck = check snd true;

in

fun check_typs ctxt raw_tys =
  let
    val (sorting_report, tys) = Proof_Context.prepare_sortsT ctxt raw_tys;
    val _ = if Context_Position.reports_enabled ctxt then Output.report sorting_report else ();
  in
    tys
    |> apply_typ_check ctxt
    |> Term_Sharing.typs (Proof_Context.theory_of ctxt)
  end;

fun check_terms ctxt raw_ts =
  let
    val (sorting_report, raw_ts') = Proof_Context.prepare_sorts ctxt raw_ts;
    val (ts, ps) = Type_Infer_Context.prepare_positions ctxt raw_ts';

    val tys = map (Logic.mk_type o snd) ps;
    val (ts', tys') = ts @ tys
      |> apply_term_check ctxt
      |> chop (length ts);
    val typing_report =
      fold2 (fn ({pos, ...}, _) => fn ty =>
        if Position.is_reported pos then
          cons (Position.reported_text pos Markup.typing
            (Syntax.string_of_typ ctxt (Logic.dest_type ty)))
        else I) ps tys' [];

    val _ =
      if Context_Position.reports_enabled ctxt
      then Output.report (sorting_report @ typing_report) else ();
  in Term_Sharing.terms (Proof_Context.theory_of ctxt) ts' end;

fun check_props ctxt = map (Type.constraint propT) #> check_terms ctxt;

val uncheck_typs = apply_typ_uncheck;
val uncheck_terms = apply_term_uncheck;

end;

(* install operations *)

val _ =
  Theory.setup
   (Syntax.install_operations
     {parse_trrule = parse_trrule,
      parse_sort = parse_sort,
      parse_typ = parse_typ,
      parse_term = parse_term false,
      parse_prop = parse_term true,
      unparse_sort = unparse_sort,
      unparse_typ = unparse_typ,
      unparse_term = unparse_term,
      check_typs = check_typs,
      check_terms = check_terms,
      check_props = check_props,
      uncheck_typs = uncheck_typs,
      uncheck_terms = uncheck_terms});

end;

(* standard phases *)

val _ = Context.>>
(Syntax_Phases.typ_check 0 "standard" Proof_Context.standard_typ_check #>
  Syntax_Phases.term_check 0 "standard"
    (fn ctxt => Type_Infer_Context.infer_types ctxt #> map (Proof_Context.expand_abbrevs ctxt)) #>
  Syntax_Phases.term_check 100 "standard_finish" Proof_Context.standard_term_check_finish #>
  Syntax_Phases.term_uncheck 0 "standard" Proof_Context.standard_term_uncheck);

quality100%

¤ Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.0.28Bemerkung: (vorverarbeitet) ¤

*Bot Zugriff

Wurzel

Suchen

Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.