(*  Title:      Pure/global_theory.ML

     Author:     Makarius

 Global theory content: stored facts.

 *)

 signature GLOBAL_THEORY =

 sig

   val facts_of: theory -> Facts.T

   val intern_fact: theory -> xstring -> string

   val defined_fact: theory -> string -> bool

   val hide_fact: bool -> string -> theory -> theory

   val begin_recent_proofs: theory -> theory

   val join_recent_proofs: theory -> unit

   val join_proofs: theory -> unit

   val get_fact: Context.generic -> theory -> Facts.ref -> thm list

   val get_thms: theory -> xstring -> thm list

   val get_thm: theory -> xstring -> thm

   val all_thms_of: theory -> (string * thm) list

   val map_facts: ('a -> 'b) -> ('c * ('a list * 'd) list) list -> ('c * ('b list * 'd) list) list

   val burrow_fact: ('a list -> 'b list) -> ('a list * 'c) list -> ('b list * 'c) list

   val burrow_facts: ('a list -> 'b list) ->

     ('c * ('a list * 'd) list) list -> ('c * ('b list * 'd) list) list

   val name_multi: string -> 'a list -> (string * 'a) list

   val name_thm: bool -> bool -> string -> thm -> thm

   val name_thms: bool -> bool -> string -> thm list -> thm list

   val name_thmss: bool -> string -> (thm list * 'a) list -> (thm list * 'a) list

   val store_thms: binding * thm list -> theory -> thm list * theory

   val store_thm: binding * thm -> theory -> thm * theory

   val store_thm_open: binding * thm -> theory -> thm * theory

   val add_thms: ((binding * thm) * attribute list) list -> theory -> thm list * theory

   val add_thm: (binding * thm) * attribute list -> theory -> thm * theory

   val add_thmss: ((binding * thm list) * attribute list) list -> theory -> thm list list * theory

   val add_thms_dynamic: binding * (Context.generic -> thm list) -> theory -> theory

   val note_thmss: string -> (Thm.binding * (thm list * attribute list) list) list

     -> theory -> (string * thm list) list * theory

   val add_defs: bool -> ((binding * term) * attribute list) list ->

     theory -> thm list * theory

   val add_defs_unchecked: bool -> ((binding * term) * attribute list) list ->

     theory -> thm list * theory

   val add_defs_cmd: bool -> ((binding * string) * attribute list) list ->

     theory -> thm list * theory

   val add_defs_unchecked_cmd: bool -> ((binding * string) * attribute list) list ->

     theory -> thm list * theory

 end;

 structure Global_Theory: GLOBAL_THEORY =

 struct

 (** theory data **)

 type proofs = thm list * unit lazy;

 val empty_proofs: proofs = ([], Lazy.value ());

 fun add_proofs more_thms ((thms, _): proofs) =

   let val thms' = fold cons more_thms thms

   in (thms', Lazy.lazy (fn () => Thm.join_proofs (rev thms'))) end;

 fun force_proofs ((_, prfs): proofs) = Lazy.force prfs;

 structure Data = Theory_Data

 (

   type T = Facts.T * (proofs * proofs);

   val empty = (Facts.empty, (empty_proofs, empty_proofs));

   fun extend (facts, _) = (facts, snd empty);

   fun merge ((facts1, _), (facts2, _)) = (Facts.merge (facts1, facts2), snd empty);

 );

 (* facts *)

 val facts_of = #1 o Data.get;

 val intern_fact = Facts.intern o facts_of;

 val defined_fact = Facts.defined o facts_of;

 fun hide_fact fully name = Data.map (apfst (Facts.hide fully name));

 (* forked proofs *)

 fun register_proofs thms thy = (thms, Data.map (apsnd (pairself (add_proofs thms))) thy);

 val begin_recent_proofs = Data.map (apsnd (apfst (K empty_proofs)));

 val join_recent_proofs = force_proofs o #1 o #2 o Data.get;

 val join_proofs = force_proofs o #2 o #2 o Data.get;

 (** retrieve theorems **)

 fun get_fact context thy xthmref =

   let

     val ctxt = Context.proof_of context;

     val facts = facts_of thy;

     val xname = Facts.name_of_ref xthmref;

     val pos = Facts.pos_of_ref xthmref;

     val name =

       (case intern_fact thy xname of

         "_" => "Pure.asm_rl"

       | name => name);

     val res = Facts.lookup context facts name;

     val _ = Theory.check_thy thy;

   in

     (case res of

       NONE => error ("Unknown fact " ^ quote name ^ Position.str_of pos)

     | SOME (static, ths) =>

         (Context_Position.report ctxt pos (Name_Space.markup (Facts.space_of facts) name);

          if static then ()

          else Context_Position.report ctxt pos (Isabelle_Markup.dynamic_fact name);

          Facts.select xthmref (map (Thm.transfer thy) ths)))

   end;

 fun get_thms thy = get_fact (Context.Theory thy) thy o Facts.named;

 fun get_thm thy name = Facts.the_single name (get_thms thy name);

 fun all_thms_of thy =

   Facts.fold_static (fn (_, ths) => append (map (`(Thm.get_name_hint)) ths)) (facts_of thy) [];

 (** store theorems **)

 (* fact specifications *)

 fun map_facts f = map (apsnd (map (apfst (map f))));

 fun burrow_fact f = split_list #>> burrow f #> op ~~;

 fun burrow_facts f = split_list ##> burrow (burrow_fact f) #> op ~~;

 (* naming *)

 fun name_multi name [x] = [(name, x)]

   | name_multi "" xs = map (pair "") xs

   | name_multi name xs = map_index (fn (i, x) => (name ^ "_" ^ string_of_int (i + 1), x)) xs;

 fun name_thm pre official name thm = thm

   |> (if not official orelse pre andalso Thm.derivation_name thm <> "" then I

       else Thm.name_derivation name)

   |> (if name = "" orelse pre andalso Thm.has_name_hint thm then I

       else Thm.put_name_hint name);

 fun name_thms pre official name xs =

   map (uncurry (name_thm pre official)) (name_multi name xs);

 fun name_thmss official name fact =

   burrow_fact (name_thms true official name) fact;

 (* enter_thms *)

 fun enter_thms pre_name post_name app_att (b, thms) thy =

   if Binding.is_empty b

   then app_att thms thy |-> register_proofs

   else

     let

       val name = Sign.full_name thy b;

       val (thms', thy') = app_att (pre_name name thms) thy |>> post_name name |-> register_proofs;

       val thms'' = map (Thm.transfer thy') thms';

       val thy'' = thy'

         |> (Data.map o apfst) (Facts.add_global (Context.Theory thy') (b, thms'') #> snd);

     in (thms'', thy'') end;

 (* store_thm(s) *)

 fun store_thms (b, thms) =

   enter_thms (name_thms true true) (name_thms false true) pair (b, thms);

 fun store_thm (b, th) = store_thms (b, [th]) #>> the_single;

 fun store_thm_open (b, th) =

   enter_thms (name_thms true false) (name_thms false false) pair (b, [th]) #>> the_single;

 (* add_thms(s) *)

 fun add_thms_atts pre_name ((b, thms), atts) =

   enter_thms pre_name (name_thms false true) (fold_map (Thm.theory_attributes atts)) (b, thms);

 fun gen_add_thmss pre_name =

   fold_map (add_thms_atts pre_name);

 fun gen_add_thms pre_name args =

   apfst (map hd) o gen_add_thmss pre_name (map (apfst (apsnd single)) args);

 val add_thmss = gen_add_thmss (name_thms true true);

 val add_thms = gen_add_thms (name_thms true true);

 val add_thm = yield_singleton add_thms;

 (* add_thms_dynamic *)

 fun add_thms_dynamic (b, f) thy = thy

   |> (Data.map o apfst) (Facts.add_dynamic (Context.Theory thy) (b, f) #> snd);

 (* note_thmss *)

 fun note_thmss kind = fold_map (fn ((b, more_atts), facts) => fn thy =>

   let

     val name = Sign.full_name thy b;

     fun app (ths, atts) =

       fold_map (Thm.theory_attributes (surround (Thm.kind kind) (atts @ more_atts))) ths;

     val (thms, thy') =

       enter_thms (name_thmss true) (name_thms false true) (apfst flat oo fold_map app)

         (b, facts) thy;

   in ((name, thms), thy') end);

 (* store axioms as theorems *)

 local

 fun no_read _ (_, t) = t;

 fun read ctxt (b, str) =

   Syntax.read_prop ctxt str handle ERROR msg =>

     cat_error msg ("The error(s) above occurred in definition " ^ Binding.print b);

 fun add prep unchecked overloaded = fold_map (fn ((b, raw_prop), atts) => fn thy =>

   let

     val ctxt = Syntax.init_pretty_global thy;

     val prop = prep ctxt (b, raw_prop);

     val ((_, def), thy') = Thm.add_def ctxt unchecked overloaded (b, prop) thy;

     val thm = def

       |> Thm.forall_intr_frees

       |> Thm.forall_elim_vars 0

       |> Thm.varifyT_global;

   in yield_singleton (gen_add_thms (K I)) ((b, thm), atts) thy' end);

 in

 val add_defs = add no_read false;

 val add_defs_unchecked = add no_read true;

 val add_defs_cmd = add read false;

 val add_defs_unchecked_cmd = add read true;

 end;

 end;