src/Pure/theory.ML
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(*  Title:      Pure/theory.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson and Markus Wenzel
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Logical theory content: axioms, definitions, oracles.
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*)
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signature BASIC_THEORY =
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sig
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  type theory
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  type theory_ref
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  val sign_of: theory -> theory    (*obsolete*)
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  val rep_theory: theory ->
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   {axioms: term NameSpace.table,
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    defs: Defs.graph,
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    oracles: ((theory * Object.T -> term) * stamp) NameSpace.table}
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  val parents_of: theory -> theory list
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  val ancestors_of: theory -> theory list
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  val eq_thy: theory * theory -> bool
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  val subthy: theory * theory -> bool
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  val cert_axm: theory -> string * term -> string * term
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  val read_def_axm: theory * (indexname -> typ option) * (indexname -> sort option) ->
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    string list -> string * string -> string * term
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  val read_axm: theory -> string * string -> string * term
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  val inferT_axm: theory -> string * term -> string * term
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end
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signature THEORY =
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sig
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  include BASIC_THEORY
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  include SIGN_THEORY
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  val begin_theory: string -> theory list -> theory
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  val end_theory: theory -> theory
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  val checkpoint: theory -> theory
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  val copy: theory -> theory
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  val init_data: theory -> theory
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  val axiom_space: theory -> NameSpace.T
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  val oracle_space: theory -> NameSpace.T
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  val axioms_of: theory -> (string * term) list
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  val all_axioms_of: theory -> (string * term) list
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  val defs_of : theory -> Defs.graph
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  val self_ref: theory -> theory_ref
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  val deref: theory_ref -> theory
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  val merge: theory * theory -> theory                     (*exception TERM*)
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  val merge_refs: theory_ref * theory_ref -> theory_ref    (*exception TERM*)
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  val requires: theory -> string -> string -> unit
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  val assert_super: theory -> theory -> theory
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  val add_axioms: (bstring * string) list -> theory -> theory
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  val add_axioms_i: (bstring * term) list -> theory -> theory
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  val add_defs: bool -> (bstring * string) list -> theory -> theory
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  val add_defs_i: bool -> (bstring * term) list -> theory -> theory
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  val add_finals: bool -> string list -> theory -> theory
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  val add_finals_i: bool -> term list -> theory -> theory
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  val add_oracle: bstring * (theory * Object.T -> term) -> theory -> theory
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end
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structure Theory: THEORY =
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struct
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(** type theory **)
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(* context operations *)
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type theory = Context.theory;
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type theory_ref = Context.theory_ref;
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val eq_thy = Context.eq_thy;
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val subthy = Context.subthy;
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val parents_of = Context.parents_of;
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val ancestors_of = Context.ancestors_of;
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val self_ref = Context.self_ref;
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val deref = Context.deref;
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val merge = Context.merge;
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val merge_refs = Context.merge_refs;
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val begin_theory = Sign.local_path oo Context.begin_thy Sign.pp;
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val end_theory = Context.finish_thy;
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val checkpoint = Context.checkpoint_thy;
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val copy = Context.copy_thy;
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(* signature operations *)
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val sign_of = I;
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structure SignTheory: SIGN_THEORY = Sign;
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open SignTheory;
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(** datatype thy **)
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datatype thy = Thy of
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 {axioms: term NameSpace.table,
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  defs: Defs.graph,
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  oracles: ((theory * Object.T -> term) * stamp) NameSpace.table};
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fun make_thy (axioms, defs, oracles) =
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  Thy {axioms = axioms, defs = defs, oracles = oracles};
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fun err_dup_axms dups = error ("Duplicate axiom(s): " ^ commas_quote dups);
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fun err_dup_oras dups = error ("Duplicate oracle(s): " ^ commas_quote dups);
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structure ThyData = TheoryDataFun
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(struct
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  val name = "Pure/theory";
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  type T = thy;
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  val empty = make_thy (NameSpace.empty_table, Defs.empty, NameSpace.empty_table);
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  val copy = I;
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  fun extend (Thy {axioms, defs, oracles}) = make_thy (NameSpace.empty_table, defs, oracles);
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  fun merge pp (thy1, thy2) =
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    let
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      val Thy {axioms = _, defs = defs1, oracles = oracles1} = thy1;
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      val Thy {axioms = _, defs = defs2, oracles = oracles2} = thy2;
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      val axioms = NameSpace.empty_table;
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      val defs = Defs.merge pp defs1 defs2;
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      val oracles = NameSpace.merge_tables eq_snd (oracles1, oracles2)
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        handle Symtab.DUPS dups => err_dup_oras dups;
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    in make_thy (axioms, defs, oracles) end;
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  fun print _ _ = ();
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end);
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val init_data = ThyData.init;
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fun rep_theory thy = ThyData.get thy |> (fn Thy args => args);
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fun map_thy f = ThyData.map (fn (Thy {axioms, defs, oracles}) =>
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  make_thy (f (axioms, defs, oracles)));
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fun map_axioms f = map_thy (fn (axioms, defs, oracles) => (f axioms, defs, oracles));
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fun map_defs f = map_thy (fn (axioms, defs, oracles) => (axioms, f defs, oracles));
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fun map_oracles f = map_thy (fn (axioms, defs, oracles) => (axioms, defs, f oracles));
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(* basic operations *)
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val axiom_space = #1 o #axioms o rep_theory;
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val oracle_space = #1 o #oracles o rep_theory;
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val axioms_of = Symtab.dest o #2 o #axioms o rep_theory;
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fun all_axioms_of thy = List.concat (map axioms_of (thy :: ancestors_of thy));
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val defs_of = #defs o rep_theory;
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fun requires thy name what =
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  if Context.exists_name name thy then ()
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  else error ("Require theory " ^ quote name ^ " as an ancestor for " ^ what);
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fun assert_super thy1 thy2 =
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  if subthy (thy1, thy2) then thy2
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  else raise THEORY ("Not a super theory", [thy1, thy2]);
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15652e058e28 token translation: real;
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(** add axioms **)
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(* prepare axioms *)
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fun err_in_axm name =
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  error ("The error(s) above occurred in axiom " ^ quote name);
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fun no_vars pp tm =
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  (case (Term.term_vars tm, Term.term_tvars tm) of
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    ([], []) => tm
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  | (ts, ixns) => error (Pretty.string_of (Pretty.block (Pretty.breaks
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      (Pretty.str "Illegal schematic variable(s) in term:" ::
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       map (Pretty.term pp) ts @ map (Pretty.typ pp o TVar) ixns)))));
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fun cert_axm thy (name, raw_tm) =
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  let
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    val pp = Sign.pp thy;
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    val (t, T, _) = Sign.certify_term pp thy raw_tm
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      handle TYPE (msg, _, _) => error msg
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        | TERM (msg, _) => error msg;
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  in
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    Term.no_dummy_patterns t handle TERM (msg, _) => error msg;
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    assert (T = propT) "Term not of type prop";
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    (name, no_vars pp t)
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  end;
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fun read_def_axm (thy, types, sorts) used (name, str) =
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  let
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    val ts = Syntax.read thy (Sign.is_logtype thy) (Sign.syn_of thy) propT str;
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    val (t, _) = Sign.infer_types (Sign.pp thy) thy types sorts used true (ts, propT);
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  in cert_axm thy (name, t) end
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  handle ERROR => err_in_axm name;
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fun read_axm thy name_str = read_def_axm (thy, K NONE, K NONE) [] name_str;
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fun inferT_axm thy (name, pre_tm) =
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  let
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    val pp = Sign.pp thy;
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    val (t, _) = Sign.infer_types pp thy (K NONE) (K NONE) [] true ([pre_tm], propT);
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  in (name, no_vars pp t) end
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  handle ERROR => err_in_axm name;
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(* add_axioms(_i) *)
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local
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fun gen_add_axioms prep_axm raw_axms thy = thy |> map_axioms (fn axioms =>
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  let
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    val axms = map (apsnd (Term.compress_term o Logic.varify) o prep_axm thy) raw_axms;
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    val axioms' = NameSpace.extend_table (Sign.naming_of thy) (axioms, axms)
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      handle Symtab.DUPS dups => err_dup_axms dups;
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  in axioms' end);
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in
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val add_axioms = gen_add_axioms read_axm;
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val add_axioms_i = gen_add_axioms cert_axm;
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end;
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(** add constant definitions **)
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9320
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(* overloading *)
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datatype overloading = Clean | Implicit | Useless;
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fun overloading thy overloaded declT defT =
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  let
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    val defT' = Logic.incr_tvar (maxidx_of_typ declT + 1) (Type.varifyT defT);
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  in
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    if Sign.typ_instance thy (declT, defT') then Clean
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    else if Sign.typ_instance thy (Type.strip_sorts declT, Type.strip_sorts defT') then Useless
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    else if overloaded then Clean
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    else Implicit
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  end;
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(* dest_def *)
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fun dest_def pp tm =
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  let
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    fun err msg = raise TERM (msg, [tm]);
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    val (lhs, rhs) = Logic.dest_equals (Logic.strip_imp_concl tm)
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      handle TERM _ => err "Not a meta-equality (==)";
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    val (head, args) = Term.strip_comb lhs;
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    val (c, T) = Term.dest_Const head
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      handle TERM _ => err "Head of lhs not a constant";
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4141
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    fun dest_free (Free (x, _)) = x
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      | dest_free (Const ("TYPE", Type ("itself", [TFree (x, _)]))) = x
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      | dest_free _ = raise Match;
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    val show_terms = commas_quote o map (Pretty.string_of_term pp);
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    val show_frees = commas_quote o map dest_free;
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    val show_tfrees = commas_quote o map fst;
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    val lhs_nofrees = filter (not o can dest_free) args;
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    val lhs_dups = duplicates args;
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    val rhs_extras = term_frees rhs |> fold (remove op =) args;
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   264
    val rhs_extrasT = term_tfrees rhs |> fold (remove op =) (typ_tfrees T);
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  in
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    if not (null lhs_nofrees) then
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      err ("Non-variables as arguments on lhs: " ^ show_terms lhs_nofrees)
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    else if not (null lhs_dups) then
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      err ("Duplicate variables on lhs: " ^ show_frees lhs_dups)
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    else if not (null rhs_extras) then
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      err ("Extra variables on rhs: " ^ show_frees rhs_extras)
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    else if not (null rhs_extrasT) then
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      err ("Extra type variables on rhs: " ^ show_tfrees rhs_extrasT)
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    else if exists_Const (equal (c, T)) rhs then
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      err ("Constant to be defined occurs on rhs")
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    else ((c, T), rhs)
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  end;
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(* check_def *)
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fun pretty_const pp (c, T) =
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 [Pretty.str c, Pretty.str " ::", Pretty.brk 1,
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  Pretty.quote (Pretty.typ pp (Type.freeze_type T))];
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fun check_def thy overloaded (bname, tm) defs =
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  let
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    val pp = Sign.pp thy;
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    fun prt_const (c, T) =
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     [Pretty.str c, Pretty.str " ::", Pretty.brk 1,
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      Pretty.quote (Pretty.typ pp (Type.freeze_type T))];
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    fun string_of_def const txt =
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      [Pretty.block (Pretty.str "Definition of " :: pretty_const pp const), Pretty.str txt]
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      |> Pretty.chunks |> Pretty.string_of;
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    fun typed_const c = (c, Sign.the_const_type thy c);
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    val ((c, defT), rhs) = dest_def pp tm handle TERM (msg, _) => error msg;
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    val rhs_consts = Term.term_constsT rhs;
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    val declT = Sign.the_const_type thy c;
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    val _ =
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      (case overloading thy overloaded declT defT of
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        Clean => ()
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      | Implicit => warning (string_of_def (c, defT)
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          ("is strictly less general than the declared type (see " ^ quote bname ^ ")"))
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      | Useless => error (Library.setmp show_sorts true (string_of_def (c, defT))
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          "imposes additional sort constraints on the declared type of the constant"));
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  in
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    defs |> Defs.declare (typed_const c) |> fold (Defs.declare o typed_const o #1) rhs_consts
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    |> Defs.define pp (c, defT) (Sign.full_name thy bname) rhs_consts
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  end
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  handle ERROR => error (Pretty.string_of (Pretty.block
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   [Pretty.str ("The error(s) above occurred in definition " ^ quote bname ^ ":"),
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    Pretty.fbrk, Pretty.quote (Pretty.term (Sign.pp thy) tm)]));
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(* add_defs(_i) *)
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local
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fun gen_add_defs prep_axm overloaded raw_axms thy =
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  let val axms = map (prep_axm thy) raw_axms in
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    thy
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    |> map_defs (fold (check_def thy overloaded) axms)
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    |> add_axioms_i axms
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  end;
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in
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val add_defs_i = gen_add_defs cert_axm;
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val add_defs = gen_add_defs read_axm;
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end;
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(* add_finals(_i) *)
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local
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fun gen_add_finals prep_term overloaded raw_terms thy =
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  let
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    fun finalize tm finals =
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      let
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        fun err msg = raise TERM (msg, [tm]);    (* FIXME error!? *)
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        val (c, defT) =
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          (case tm of Const x => x
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          | Free _ => err "Attempt to finalize variable (or undeclared constant)"
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          | _ => err "Attempt to finalize non-constant term");
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        val declT = Sign.the_const_type thy c
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          handle TYPE (msg, _, _) => err msg;
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        val _ =    (* FIXME unify messages with defs *)
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          (case overloading thy overloaded declT defT of
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            Clean => ()
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          | Implicit => warning ("Finalizing " ^ quote c ^
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              " at a strictly less general type than declared")
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          | Useless => err "Sort constraints stronger than declared");
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      in finals |> Defs.declare (c, declT) |> Defs.finalize (c, defT) end;
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  in thy |> map_defs (fold finalize (map (prep_term thy) raw_terms)) end;
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fun read_term thy = Sign.simple_read_term thy TypeInfer.logicT;
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fun cert_term thy = #1 o Sign.certify_term (Sign.pp thy) thy;
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in
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val add_finals = gen_add_finals read_term;
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val add_finals_i = gen_add_finals cert_term;
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end;
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(** add oracle **)
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fun add_oracle (bname, oracle) thy = thy |> map_oracles (fn oracles =>
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  NameSpace.extend_table (Sign.naming_of thy) (oracles, [(bname, (oracle, stamp ()))])
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    handle Symtab.DUPS dups => err_dup_oras dups);
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end;
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structure BasicTheory: BASIC_THEORY = Theory;
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open BasicTheory;