src/Pure/Isar/locale.ML
author wenzelm
Sat Mar 28 16:00:54 2009 +0100 (2009-03-28)
changeset 30755 7ef503d216c2
parent 30754 c896167de3d5
child 30761 ac7570d80c3d
permissions -rw-r--r--
simplified internal locale parameters: maintain proper name and type, instead of binding and constraint;
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(*  Title:      Pure/Isar/locale.ML
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    Author:     Clemens Ballarin, TU Muenchen
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Locales -- managed Isar proof contexts, based on Pure predicates.
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Draws basic ideas from Florian Kammueller's original version of
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locales, but uses the richer infrastructure of Isar instead of the raw
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meta-logic.  Furthermore, structured import of contexts (with merge
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and rename operations) are provided, as well as type-inference of the
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signature parts, and predicate definitions of the specification text.
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Interpretation enables the reuse of theorems of locales in other
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contexts, namely those defined by theories, structured proofs and
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locales themselves.
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See also:
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[1] Clemens Ballarin. Locales and Locale Expressions in Isabelle/Isar.
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    In Stefano Berardi et al., Types for Proofs and Programs: International
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    Workshop, TYPES 2003, Torino, Italy, LNCS 3085, pages 34-50, 2004.
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[2] Clemens Ballarin. Interpretation of Locales in Isabelle: Managing
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    Dependencies between Locales. Technical Report TUM-I0607, Technische
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    Universitaet Muenchen, 2006.
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[3] Clemens Ballarin. Interpretation of Locales in Isabelle: Theories and
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    Proof Contexts. In J.M. Borwein and W.M. Farmer, MKM 2006, LNAI 4108,
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    pages 31-43, 2006.
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*)
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signature LOCALE =
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sig
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  (* Locale specification *)
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  val register_locale: binding ->
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    (string * sort) list * ((string * typ) * mixfix) list ->
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    term option * term list ->
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    thm option * thm option -> thm list ->
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    declaration list * declaration list ->
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    (string * (Attrib.binding * (thm list * Attrib.src list) list) list) list ->
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    (string * morphism) list -> theory -> theory
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  val intern: theory -> xstring -> string
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  val extern: theory -> string -> xstring
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  val defined: theory -> string -> bool
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  val params_of: theory -> string -> ((string * typ) * mixfix) list
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  val intros_of: theory -> string -> thm option * thm option
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  val axioms_of: theory -> string -> thm list
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  val instance_of: theory -> string -> morphism -> term list
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  val specification_of: theory -> string -> term option * term list
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  val declarations_of: theory -> string -> declaration list * declaration list
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  val dependencies_of: theory -> string -> (string * morphism) list
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  (* Storing results *)
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  val add_thmss: string -> string -> (Attrib.binding * (thm list * Attrib.src list) list) list ->
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    Proof.context -> Proof.context
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  val add_type_syntax: string -> declaration -> Proof.context -> Proof.context
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  val add_term_syntax: string -> declaration -> Proof.context -> Proof.context
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  val add_declaration: string -> declaration -> Proof.context -> Proof.context
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  val add_dependency: string -> string * morphism -> theory -> theory
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  (* Activation *)
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  val activate_declarations: theory -> string * morphism ->
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    Proof.context -> Proof.context
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  val activate_global_facts: string * morphism -> theory -> theory
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  val activate_local_facts: string * morphism -> Proof.context -> Proof.context
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  val init: string -> theory -> Proof.context
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  (* Reasoning about locales *)
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  val get_witnesses: Proof.context -> thm list
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  val get_intros: Proof.context -> thm list
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  val get_unfolds: Proof.context -> thm list
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  val witness_add: attribute
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  val intro_add: attribute
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  val unfold_add: attribute
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  val intro_locales_tac: bool -> Proof.context -> thm list -> tactic
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  (* Registrations *)
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  val add_registration: string * (morphism * morphism) -> theory -> theory
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  val amend_registration: morphism -> string * morphism -> theory -> theory
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  val get_registrations: theory -> (string * morphism) list
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  (* Diagnostic *)
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  val print_locales: theory -> unit
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  val print_locale: theory -> bool -> xstring -> unit
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end;
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structure Locale: LOCALE =
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struct
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datatype ctxt = datatype Element.ctxt;
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(*** Theory data ***)
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datatype locale = Loc of {
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  (** static part **)
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  parameters: (string * sort) list * ((string * typ) * mixfix) list,
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    (* type and term parameters *)
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  spec: term option * term list,
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    (* assumptions (as a single predicate expression) and defines *)
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  intros: thm option * thm option,
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  axioms: thm list,
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  (** dynamic part **)
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  decls: (declaration * stamp) list * (declaration * stamp) list,
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    (* type and term syntax declarations *)
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  notes: ((string * (Attrib.binding * (thm list * Attrib.src list) list) list) * stamp) list,
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    (* theorem declarations *)
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  dependencies: ((string * morphism) * stamp) list
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    (* locale dependencies (sublocale relation) *)
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};
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fun mk_locale ((parameters, spec, intros, axioms), ((decls, notes), dependencies)) =
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  Loc {parameters = parameters, intros = intros, axioms = axioms, spec = spec,
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    decls = decls, notes = notes, dependencies = dependencies};
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fun map_locale f (Loc {parameters, spec, intros, axioms, decls, notes, dependencies}) =
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  mk_locale (f ((parameters, spec, intros, axioms), ((decls, notes), dependencies)));
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fun merge_locale (Loc {parameters, spec, intros, axioms, decls = (decls1, decls2),
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  notes, dependencies}, Loc {decls = (decls1', decls2'), notes = notes',
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    dependencies = dependencies', ...}) = mk_locale
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      ((parameters, spec, intros, axioms),
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        (((merge (eq_snd op =) (decls1, decls1'), merge (eq_snd op =) (decls2, decls2')),
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          merge (eq_snd op =) (notes, notes')),
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            merge (eq_snd op =) (dependencies, dependencies')));
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structure Locales = TheoryDataFun
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(
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  type T = locale NameSpace.table;
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  val empty = NameSpace.empty_table;
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  val copy = I;
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  val extend = I;
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  fun merge _ = NameSpace.join_tables (K merge_locale);
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);
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val intern = NameSpace.intern o #1 o Locales.get;
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val extern = NameSpace.extern o #1 o Locales.get;
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val get_locale = Symtab.lookup o #2 o Locales.get;
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val defined = Symtab.defined o #2 o Locales.get;
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fun the_locale thy name =
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  (case get_locale thy name of
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    SOME (Loc loc) => loc
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  | NONE => error ("Unknown locale " ^ quote name));
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fun register_locale binding parameters spec intros axioms decls notes dependencies thy =
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  thy |> Locales.map (NameSpace.define (Sign.naming_of thy)
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    (binding,
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      mk_locale ((parameters, spec, intros, axioms),
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        ((pairself (map (fn decl => (decl, stamp ()))) decls, map (fn n => (n, stamp ())) notes),
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          map (fn d => (d, stamp ())) dependencies))) #> snd);
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fun change_locale name =
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  Locales.map o apsnd o Symtab.map_entry name o map_locale o apsnd;
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fun print_locales thy =
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  Pretty.strs ("locales:" :: map #1 (NameSpace.extern_table (Locales.get thy)))
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  |> Pretty.writeln;
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(*** Primitive operations ***)
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fun params_of thy = snd o #parameters o the_locale thy;
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fun intros_of thy = #intros o the_locale thy;
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fun axioms_of thy = #axioms o the_locale thy;
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fun instance_of thy name morph = params_of thy name |>
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  map (Morphism.term morph o Free o #1);
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fun specification_of thy = #spec o the_locale thy;
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fun declarations_of thy name = the_locale thy name |>
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  #decls |> pairself (map fst);
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fun dependencies_of thy name = the_locale thy name |>
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  #dependencies |> map fst;
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(*** Activate context elements of locale ***)
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(** Identifiers: activated locales in theory or proof context **)
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fun ident_eq thy ((n: string, ts), (m, ss)) = (m = n) andalso Pattern.matchess thy (ss, ts);
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local
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datatype 'a delayed = Ready of 'a | ToDo of 'a delayed * 'a delayed;
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structure Identifiers = GenericDataFun
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(
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  type T = (string * term list) list delayed;
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  val empty = Ready [];
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  val extend = I;
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  fun merge _ = ToDo;
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);
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in
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fun finish thy (ToDo (i1, i2)) = merge (ident_eq thy) (finish thy i1, finish thy i2)
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  | finish _ (Ready ids) = ids;
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val _ = Context.>> (Context.map_theory (Theory.at_begin (fn thy =>
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  (case Identifiers.get (Context.Theory thy) of
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    Ready _ => NONE
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  | ids => SOME (Context.theory_map (Identifiers.put (Ready (finish thy ids))) thy)))));
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fun get_global_idents thy =
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  let val (Ready ids) = (Identifiers.get o Context.Theory) thy in ids end;
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val put_global_idents = Context.theory_map o Identifiers.put o Ready;
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fun get_local_idents ctxt =
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  let val (Ready ids) = (Identifiers.get o Context.Proof) ctxt in ids end;
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val put_local_idents = Context.proof_map o Identifiers.put o Ready;
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end;
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(** Resolve locale dependencies in a depth-first fashion **)
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local
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val roundup_bound = 120;
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fun add thy depth (name, morph) (deps, marked) =
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  if depth > roundup_bound
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  then error "Roundup bound exceeded (sublocale relation probably not terminating)."
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  else
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    let
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      val dependencies = dependencies_of thy name;
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      val instance = instance_of thy name morph;
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    in
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      if member (ident_eq thy) marked (name, instance)
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      then (deps, marked)
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      else
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        let
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          val dependencies' = map (fn (name, morph') => (name, morph' $> morph)) dependencies;
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          val marked' = (name, instance) :: marked;
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          val (deps', marked'') = fold_rev (add thy (depth + 1)) dependencies' ([], marked');
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        in
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          ((name, morph) :: deps' @ deps, marked'')
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        end
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    end;
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in
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fun roundup thy activate_dep (name, morph) (marked, input) =
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  let
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    (* Find all dependencies incuding new ones (which are dependencies enriching
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      existing registrations). *)
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    val (dependencies, marked') = add thy 0 (name, morph) ([], []);
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    (* Filter out exisiting fragments. *)
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    val dependencies' = filter_out (fn (name, morph) =>
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      member (ident_eq thy) marked (name, instance_of thy name morph)) dependencies;
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  in
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    (merge (ident_eq thy) (marked, marked'), input |> fold_rev (activate_dep thy) dependencies')
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  end;
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end;
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(* Declarations, facts and entire locale content *)
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fun activate_decls thy (name, morph) ctxt =
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  let
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    val {decls = (typ_decls, term_decls), ...} = the_locale thy name;
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  in
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    ctxt |> fold_rev (fn (decl, _) => Context.proof_map (decl morph)) typ_decls |>
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      fold_rev (fn (decl, _) => Context.proof_map (decl morph)) term_decls
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  end;
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fun activate_notes activ_elem transfer thy (name, morph) input =
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  let
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    val {notes, ...} = the_locale thy name;
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    fun activate ((kind, facts), _) input =
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      let
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        val facts' = facts |> Element.facts_map (Element.morph_ctxt (transfer input $> morph))
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      in activ_elem (Notes (kind, facts')) input end;
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  in
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    fold_rev activate notes input
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  end;
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fun activate_all name thy activ_elem transfer (marked, input) =
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  let
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    val {parameters = (_, params), spec = (asm, defs), ...} =
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      the_locale thy name;
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  in
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    input |>
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      (not (null params) ?
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        activ_elem (Fixes (map (fn ((x, T), mx) => (Binding.name x, SOME T, mx)) params))) |>
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      (* FIXME type parameters *)
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      (if is_some asm then activ_elem (Assumes [(Attrib.empty_binding, [(the asm, [])])]) else I) |>
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      (if not (null defs)
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        then activ_elem (Defines (map (fn def => (Attrib.empty_binding, (def, []))) defs))
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        else I) |>
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      pair marked |> roundup thy (activate_notes activ_elem transfer) (name, Morphism.identity)
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  end;
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(** Public activation functions **)
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local
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fun init_global_elem (Notes (kind, facts)) thy =
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  let
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    val facts' = Attrib.map_facts (Attrib.attribute_i thy) facts
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  in PureThy.note_thmss kind facts' thy |> snd end
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fun init_local_elem (Fixes fixes) ctxt = ctxt |>
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      ProofContext.add_fixes_i fixes |> snd
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  | init_local_elem (Assumes assms) ctxt =
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      let
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        val assms' = Attrib.map_specs (Attrib.attribute_i (ProofContext.theory_of ctxt)) assms
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      in
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        ctxt |> fold Variable.auto_fixes (maps (map fst o snd) assms') |>
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          ProofContext.add_assms_i Assumption.assume_export assms' |> snd
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     end
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  | init_local_elem (Defines defs) ctxt =
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      let
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        val defs' = Attrib.map_specs (Attrib.attribute_i (ProofContext.theory_of ctxt)) defs
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      in
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        ctxt |> fold Variable.auto_fixes (map (fst o snd) defs') |>
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          ProofContext.add_assms_i LocalDefs.def_export (map (fn (attn, t) => (attn, [t])) defs') |>
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          snd
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      end
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  | init_local_elem (Notes (kind, facts)) ctxt =
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      let
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        val facts' = Attrib.map_facts (Attrib.attribute_i (ProofContext.theory_of ctxt)) facts
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      in ProofContext.note_thmss_i kind facts' ctxt |> snd end
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fun cons_elem false (Notes notes) elems = elems
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  | cons_elem _ elem elems = elem :: elems
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in
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fun activate_declarations thy dep ctxt =
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  roundup thy activate_decls dep (get_local_idents ctxt, ctxt) |-> put_local_idents;
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fun activate_global_facts dep thy =
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  roundup thy (activate_notes init_global_elem Element.transfer_morphism)
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    dep (get_global_idents thy, thy) |-> put_global_idents;
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fun activate_local_facts dep ctxt =
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  roundup (ProofContext.theory_of ctxt)
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  (activate_notes init_local_elem (Element.transfer_morphism o ProofContext.theory_of)) dep
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    (get_local_idents ctxt, ctxt) |-> put_local_idents;
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fun init name thy =
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  activate_all name thy init_local_elem (Element.transfer_morphism o ProofContext.theory_of)
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    ([], ProofContext.init thy) |-> put_local_idents;
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fun print_locale thy show_facts name =
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  let
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    val name' = intern thy name;
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    val ctxt = init name' thy
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  in
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    Pretty.big_list "locale elements:"
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      (activate_all name' thy (cons_elem show_facts) (K (Element.transfer_morphism thy))
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        ([], []) |> snd |> rev |>
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        map (Element.pretty_ctxt ctxt) |> map Pretty.chunks) |> Pretty.writeln
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  end
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end;
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(*** Registrations: interpretations in theories ***)
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structure Registrations = TheoryDataFun
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(
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  type T = ((string * (morphism * morphism)) * stamp) list;
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    (* FIXME mixins need to be stamped *)
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    (* registrations, in reverse order of declaration *)
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  val empty = [];
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  val extend = I;
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  val copy = I;
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  fun merge _ data : T = Library.merge (eq_snd op =) data;
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    (* FIXME consolidate with dependencies, consider one data slot only *)
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);
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val get_registrations =
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  Registrations.get #> map fst #> map (apsnd op $>);
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fun add_registration (name, (base_morph, export)) thy =
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  roundup thy (fn _ => fn (name', morph') =>
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    (Registrations.map o cons) ((name', (morph', export)), stamp ()))
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    (name, base_morph) (get_global_idents thy, thy) |> snd
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    (* FIXME |-> put_global_idents ?*);
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fun amend_registration morph (name, base_morph) thy =
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  let
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    val regs = (Registrations.get #> map fst) thy;
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    val base = instance_of thy name base_morph;
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    fun match (name', (morph', _)) =
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      name = name' andalso eq_list (op aconv) (base, instance_of thy name' morph');
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    val i = find_index match (rev regs);
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    val _ = if i = ~1 then error ("No registration of locale " ^
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        quote (extern thy name) ^ " and parameter instantiation " ^
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        space_implode " " (map (quote o Syntax.string_of_term_global thy) base) ^ " available.")
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      else ();
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  in
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    Registrations.map (nth_map (length regs - 1 - i)
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      (fn ((name, (base, export)), stamp) => ((name, (base $> morph, export)), stamp))) thy
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  end;
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   403
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   404
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   405
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   406
(*** Storing results ***)
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   407
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   408
(* Theorems *)
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   409
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   410
fun add_thmss loc kind args ctxt =
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  let
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    val ([Notes args'], ctxt') = Element.activate_i [Notes (kind, args)] ctxt;
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    val ctxt'' = ctxt' |> ProofContext.theory (
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   414
      (change_locale loc o apfst o apsnd) (cons (args', stamp ()))
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        #>
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   416
      (* Registrations *)
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   417
      (fn thy => fold_rev (fn (name, morph) =>
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   418
            let
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   419
              val args'' = snd args' |> Element.facts_map (Element.morph_ctxt morph) |>
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                Attrib.map_facts (Attrib.attribute_i thy)
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   421
            in PureThy.note_thmss kind args'' #> snd end)
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        (get_registrations thy |> filter (fn (name, _) => name = loc)) thy))
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   423
  in ctxt'' end;
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   424
haftmann@29361
   425
haftmann@29361
   426
(* Declarations *)
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   427
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   428
local
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   429
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   430
fun decl_attrib decl phi = Thm.declaration_attribute (K (decl phi));
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   431
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   432
fun add_decls add loc decl =
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   433
  ProofContext.theory ((change_locale loc o apfst o apfst) (add (decl, stamp ()))) #>
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   434
  add_thmss loc Thm.internalK
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   435
    [((Binding.empty, [Attrib.internal (decl_attrib decl)]), [([Drule.dummy_thm], [])])];
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   436
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   437
in
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   438
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   439
val add_type_syntax = add_decls (apfst o cons);
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   440
val add_term_syntax = add_decls (apsnd o cons);
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   441
val add_declaration = add_decls (K I);
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   442
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   443
end;
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   444
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   445
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   446
(* Dependencies *)
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   447
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   448
fun add_dependency loc dep = (change_locale loc o apsnd) (cons (dep, stamp ()));
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   449
haftmann@29361
   450
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   451
(*** Reasoning about locales ***)
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   452
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   453
(* Storage for witnesses, intro and unfold rules *)
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   454
wenzelm@30725
   455
structure Thms = GenericDataFun
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   456
(
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   457
  type T = thm list * thm list * thm list;
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   458
  val empty = ([], [], []);
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   459
  val extend = I;
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   460
  fun merge _ ((witnesses1, intros1, unfolds1), (witnesses2, intros2, unfolds2)) =
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   461
   (Thm.merge_thms (witnesses1, witnesses2),
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   462
    Thm.merge_thms (intros1, intros2),
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   463
    Thm.merge_thms (unfolds1, unfolds2));
wenzelm@30725
   464
);
haftmann@29361
   465
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   466
val get_witnesses = #1 o Thms.get o Context.Proof;
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   467
val get_intros = #2 o Thms.get o Context.Proof;
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   468
val get_unfolds = #3 o Thms.get o Context.Proof;
haftmann@29361
   469
wenzelm@30725
   470
val witness_add =
wenzelm@30725
   471
  Thm.declaration_attribute (fn th => Thms.map (fn (x, y, z) => (Thm.add_thm th x, y, z)));
wenzelm@30725
   472
val intro_add =
wenzelm@30725
   473
  Thm.declaration_attribute (fn th => Thms.map (fn (x, y, z) => (x, Thm.add_thm th y, z)));
wenzelm@30725
   474
val unfold_add =
wenzelm@30725
   475
  Thm.declaration_attribute (fn th => Thms.map (fn (x, y, z) => (x, y, Thm.add_thm th z)));
haftmann@29361
   476
wenzelm@30725
   477
wenzelm@30725
   478
(* Tactic *)
wenzelm@30725
   479
wenzelm@30725
   480
fun intro_locales_tac eager ctxt =
haftmann@29361
   481
  Method.intros_tac
wenzelm@30725
   482
    (get_witnesses ctxt @ get_intros ctxt @ (if eager then get_unfolds ctxt else []));
haftmann@29361
   483
haftmann@29361
   484
val _ = Context.>> (Context.map_theory
wenzelm@30515
   485
 (Method.setup (Binding.name "intro_locales") (Scan.succeed (METHOD o intro_locales_tac false))
wenzelm@30515
   486
    "back-chain introduction rules of locales without unfolding predicates" #>
wenzelm@30515
   487
  Method.setup (Binding.name "unfold_locales") (Scan.succeed (METHOD o intro_locales_tac true))
wenzelm@30515
   488
    "back-chain all introduction rules of locales"));
haftmann@29361
   489
haftmann@29361
   490
end;
haftmann@29361
   491