src/Pure/Isar/locale.ML
author ballarin
Sat Sep 19 18:43:11 2009 +0200 (2009-09-19)
changeset 32801 6f97a67e8da8
parent 32800 57fcca4e7c0e
child 32804 ca430e6aee1c
permissions -rw-r--r--
Explicit management of registration mixins.
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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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  (* 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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  (* Activation *)
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  val activate_declarations: string * morphism -> Proof.context -> Proof.context
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  val activate_facts: string * morphism -> Context.generic -> Context.generic
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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 and dependencies *)
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  val add_registration: string * morphism -> morphism -> theory -> theory
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  val amend_registration: morphism * bool -> string * morphism -> theory -> theory
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  val add_registration_eqs: string * morphism -> thm list -> morphism -> theory -> theory
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  val amend_registration_legacy: morphism -> string * morphism -> theory -> theory
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  val add_dependency: string -> string * morphism -> morphism -> theory -> theory
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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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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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in
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val get_idents = (fn Ready ids => ids) o Identifiers.get;
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val put_idents = 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 fragments from marked; these won't be activated. *)
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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 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 (name, morph) context =
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  let
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    val thy = Context.theory_of context;
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    val {decls = (typ_decls, term_decls), ...} = the_locale thy name;
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  in
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    context
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    |> fold_rev (fn (decl, _) => decl morph) typ_decls
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    |> fold_rev (fn (decl, _) => 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), ...} = the_locale thy name;
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    val input' = 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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      (case asm of SOME A => activ_elem (Assumes [(Attrib.empty_binding, [(A, [])])]) | _ => 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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    val activate = activate_notes activ_elem transfer thy;
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  in
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    roundup thy activate (name, Morphism.identity) (marked, input')
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  end;
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(** Public activation functions **)
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fun activate_declarations dep = Context.proof_map (fn context =>
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  let
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    val thy = Context.theory_of context;
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  in roundup thy activate_decls dep (get_idents context, context) |-> put_idents end);
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fun activate_facts dep context =
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  let
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    val thy = Context.theory_of context;
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    val activate = activate_notes Element.init (Element.transfer_morphism o Context.theory_of) thy;
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  in roundup thy activate dep (get_idents context, context) |-> put_idents end;
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fun init name thy =
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  activate_all name thy Element.init (Element.transfer_morphism o Context.theory_of)
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    ([], Context.Proof (ProofContext.init thy)) |-> put_idents |> Context.proof_of;
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fun print_locale thy show_facts raw_name =
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  let
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    val name = intern thy raw_name;
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    val ctxt = init name thy;
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    fun cons_elem (elem as Notes _) = show_facts ? cons elem
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      | cons_elem elem = cons elem;
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    val elems =
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      activate_all name thy cons_elem (K (Element.transfer_morphism thy)) ([], [])
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      |> snd |> rev;
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  in
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    Pretty.big_list "locale elements:" (map (Pretty.chunks o Element.pretty_ctxt ctxt) elems)
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    |> Pretty.writeln
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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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    (* registrations, in reverse order of declaration *)
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    (stamp * ((morphism * bool) * stamp) list) list;
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    (* alist of mixin lists, per list mixins 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 _ ((r1, m1), (r2, m2)) : T =
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    (Library.merge (eq_snd op =) (r1, r2),
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      AList.join (op =) (K (Library.merge (eq_snd op =))) (m1, m2));
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    (* FIXME consolidate with dependencies, consider one data slot only *)
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);
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(* Primitive operations *)
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fun compose_mixins mixins =
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  fold_rev Morphism.compose (map (fst o fst) mixins) Morphism.identity;
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fun reg_morph mixins ((name, (base, export)), stamp) =
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  let val mix = the_default [] (AList.lookup (op =) mixins stamp) |> compose_mixins;
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  in (name, base $> mix $> export) end;
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fun these_registrations thy name = Registrations.get thy
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  |>> filter (curry (op =) name o fst o fst)
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  |-> (fn regs => fn mixins => map (reg_morph mixins) regs);
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fun all_registrations thy = Registrations.get thy
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  |-> (fn regs => fn mixins => map (reg_morph mixins) regs);
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   359
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fun collect_mixins thy (name, base_morph) = Registrations.get thy
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  |>> filter (fn ((name', (morph', _)), _) => ident_eq thy
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     ((name, instance_of thy name base_morph), (name', instance_of thy name' morph')))
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  |-> (fn regs => fn mixins =>
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     fold_rev (fn (_, stamp) => the_default [] (AList.lookup (op =) mixins stamp)
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       |> curry (merge (eq_snd op =))) regs []);
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ballarin@32801
   367
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(* Add and extend registrations *)
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(* Note that a registration that would be subsumed by an existing one will not be
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   generated, and it will not be possible to amend it. *)
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   372
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   373
fun add_registration (name, base_morph) export thy =
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  let
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    val base = instance_of thy name base_morph;
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  in
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    if member (ident_eq thy) (get_idents (Context.Theory thy)) (name, base)
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   378
    then thy
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   379
    else
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      let
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        val mixins = roundup thy (fn dep => fn mixins =>
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          merge (eq_snd op =) (mixins, collect_mixins thy dep)) (name, base_morph) ([], [])
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          |> snd |> filter (snd o fst)  (* only inheritable mixins *);
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        val stamp = stamp ();
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   385
      in
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   386
        thy
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        (* add registration and its mixins *)
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        |> Registrations.map (apfst (cons ((name, (base_morph, export)), stamp))
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          #> apsnd (cons (stamp, mixins)))
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   390
        (* activate import hierarchy as far as not already active *)
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   391
        |> Context.theory_map (activate_facts (name, base_morph
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   392
          $> compose_mixins mixins $> export))
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   393
      end
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   394
  end;
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   395
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   396
fun amend_registration mixin (name, base_morph) thy =
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  let
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    val regs = Registrations.get thy |> fst;
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   399
    val base = instance_of thy name base_morph;
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    fun match ((name', (morph', _)), _) =
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   401
      name = name' andalso eq_list (op aconv) (base, instance_of thy name' morph');
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  in
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   403
    case find_first match (rev regs) of
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        NONE => error ("No registration of locale " ^
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   405
          quote (extern thy name) ^ " and parameter instantiation " ^
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   406
          space_implode " " (map (quote o Syntax.string_of_term_global thy) base) ^
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   407
          " available")
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   408
      | SOME (_, stamp') => Registrations.map 
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   409
          (apsnd (AList.map_default (op =) (stamp', []) (cons (mixin, stamp ())))) thy
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   410
    (* FIXME deal with inheritance: propagate to existing children *)
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   411
  end;
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   413
fun amend_registration_legacy morph (name, base_morph) thy =
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   414
  (* legacy, never modify base morphism *)
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  let
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    val regs = Registrations.get thy |> fst |> map fst;
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    val base = instance_of thy name base_morph;
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   418
    fun match (name', (morph', _)) =
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   419
      name = name' andalso eq_list (op aconv) (base, instance_of thy name' morph');
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   420
    val i = find_index match (rev regs);
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   421
    val _ =
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   422
      if i = ~1 then error ("No registration of locale " ^
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   423
        quote (extern thy name) ^ " and parameter instantiation " ^
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   424
        space_implode " " (map (quote o Syntax.string_of_term_global thy) base) ^ " available")
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   425
      else ();
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   426
  in
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   427
    Registrations.map ((apfst o nth_map (length regs - 1 - i))
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   428
      (fn ((name, (base, export)), stamp) => ((name, (base $> morph, export)), stamp))) thy
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   429
  end;
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   430
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   431
fun add_registration_eqs (dep, proto_morph) eqns export thy =
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   432
  let
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   433
    val morph = if null eqns then proto_morph
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   434
      else proto_morph $> Element.eq_morphism thy eqns;
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   435
  in
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   436
    (get_idents (Context.Theory thy), thy)
haftmann@32113
   437
    |> roundup thy (fn (dep', morph') =>
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   438
        Registrations.map (apfst (cons ((dep', (morph', export)), stamp ())))) (dep, morph)
haftmann@32113
   439
    |> snd
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   440
    |> Context.theory_map (activate_facts (dep, morph $> export))
haftmann@32074
   441
  end;
haftmann@32074
   442
haftmann@29361
   443
haftmann@31988
   444
(*** Dependencies ***)
haftmann@31988
   445
haftmann@32074
   446
fun add_dependency loc (dep, morph) export thy =
haftmann@31988
   447
  thy
haftmann@32074
   448
  |> (change_locale loc o apsnd) (cons ((dep, morph $> export), stamp ()))
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   449
  |> (fn thy => fold_rev (Context.theory_map o activate_facts)
haftmann@31988
   450
      (all_registrations thy) thy);
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   451
  (* FIXME deal with inheritance: propagate mixins to new children *)
haftmann@31988
   452
haftmann@31988
   453
haftmann@29361
   454
(*** Storing results ***)
haftmann@29361
   455
haftmann@29361
   456
(* Theorems *)
haftmann@29361
   457
haftmann@29361
   458
fun add_thmss loc kind args ctxt =
haftmann@29361
   459
  let
wenzelm@30777
   460
    val (Notes args', ctxt') = Element.activate_i (Notes (kind, args)) ctxt;
haftmann@29361
   461
    val ctxt'' = ctxt' |> ProofContext.theory (
haftmann@29392
   462
      (change_locale loc o apfst o apsnd) (cons (args', stamp ()))
haftmann@29392
   463
        #>
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   464
      (* Registrations *)
haftmann@31988
   465
      (fn thy => fold_rev (fn (_, morph) =>
haftmann@29361
   466
            let
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   467
              val args'' = snd args' |> Element.facts_map (Element.morph_ctxt morph) |>
haftmann@29361
   468
                Attrib.map_facts (Attrib.attribute_i thy)
wenzelm@30438
   469
            in PureThy.note_thmss kind args'' #> snd end)
haftmann@31988
   470
        (these_registrations thy loc) thy))
haftmann@29361
   471
  in ctxt'' end;
haftmann@29361
   472
haftmann@29361
   473
haftmann@29361
   474
(* Declarations *)
haftmann@29361
   475
haftmann@29361
   476
local
haftmann@29361
   477
haftmann@29361
   478
fun decl_attrib decl phi = Thm.declaration_attribute (K (decl phi));
haftmann@29361
   479
haftmann@29361
   480
fun add_decls add loc decl =
wenzelm@30223
   481
  ProofContext.theory ((change_locale loc o apfst o apfst) (add (decl, stamp ()))) #>
haftmann@29361
   482
  add_thmss loc Thm.internalK
haftmann@29361
   483
    [((Binding.empty, [Attrib.internal (decl_attrib decl)]), [([Drule.dummy_thm], [])])];
haftmann@29361
   484
haftmann@29361
   485
in
haftmann@29361
   486
haftmann@29361
   487
val add_type_syntax = add_decls (apfst o cons);
haftmann@29361
   488
val add_term_syntax = add_decls (apsnd o cons);
haftmann@29361
   489
val add_declaration = add_decls (K I);
haftmann@29361
   490
haftmann@29361
   491
end;
haftmann@29361
   492
wenzelm@30725
   493
haftmann@29361
   494
(*** Reasoning about locales ***)
haftmann@29361
   495
wenzelm@30725
   496
(* Storage for witnesses, intro and unfold rules *)
haftmann@29361
   497
wenzelm@30725
   498
structure Thms = GenericDataFun
wenzelm@30725
   499
(
wenzelm@30725
   500
  type T = thm list * thm list * thm list;
wenzelm@30725
   501
  val empty = ([], [], []);
wenzelm@30725
   502
  val extend = I;
wenzelm@30725
   503
  fun merge _ ((witnesses1, intros1, unfolds1), (witnesses2, intros2, unfolds2)) =
wenzelm@30725
   504
   (Thm.merge_thms (witnesses1, witnesses2),
wenzelm@30725
   505
    Thm.merge_thms (intros1, intros2),
wenzelm@30725
   506
    Thm.merge_thms (unfolds1, unfolds2));
wenzelm@30725
   507
);
haftmann@29361
   508
wenzelm@30725
   509
val get_witnesses = #1 o Thms.get o Context.Proof;
wenzelm@30725
   510
val get_intros = #2 o Thms.get o Context.Proof;
wenzelm@30725
   511
val get_unfolds = #3 o Thms.get o Context.Proof;
haftmann@29361
   512
wenzelm@30725
   513
val witness_add =
wenzelm@30725
   514
  Thm.declaration_attribute (fn th => Thms.map (fn (x, y, z) => (Thm.add_thm th x, y, z)));
wenzelm@30725
   515
val intro_add =
wenzelm@30725
   516
  Thm.declaration_attribute (fn th => Thms.map (fn (x, y, z) => (x, Thm.add_thm th y, z)));
wenzelm@30725
   517
val unfold_add =
wenzelm@30725
   518
  Thm.declaration_attribute (fn th => Thms.map (fn (x, y, z) => (x, y, Thm.add_thm th z)));
haftmann@29361
   519
wenzelm@30725
   520
wenzelm@30725
   521
(* Tactic *)
wenzelm@30725
   522
wenzelm@30725
   523
fun intro_locales_tac eager ctxt =
haftmann@29361
   524
  Method.intros_tac
wenzelm@30725
   525
    (get_witnesses ctxt @ get_intros ctxt @ (if eager then get_unfolds ctxt else []));
haftmann@29361
   526
haftmann@29361
   527
val _ = Context.>> (Context.map_theory
wenzelm@30515
   528
 (Method.setup (Binding.name "intro_locales") (Scan.succeed (METHOD o intro_locales_tac false))
wenzelm@30515
   529
    "back-chain introduction rules of locales without unfolding predicates" #>
wenzelm@30515
   530
  Method.setup (Binding.name "unfold_locales") (Scan.succeed (METHOD o intro_locales_tac true))
wenzelm@30515
   531
    "back-chain all introduction rules of locales"));
haftmann@29361
   532
haftmann@29361
   533
end;
haftmann@29361
   534