src/HOL/Tools/record_package.ML
author krauss
Fri Nov 24 13:44:51 2006 +0100 (2006-11-24)
changeset 21512 3786eb1b69d6
parent 21363 a12c0bcd9b2a
child 21546 268b6bed0cc8
permissions -rw-r--r--
Lemma "fundef_default_value" uses predicate instead of set.
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(*  Title:      HOL/Tools/record_package.ML
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    ID:         $Id$
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    Author:     Wolfgang Naraschewski, Norbert Schirmer and Markus Wenzel, TU Muenchen
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Extensible records with structural subtyping in HOL.
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*)
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signature BASIC_RECORD_PACKAGE =
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sig
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  val record_simproc: simproc
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  val record_eq_simproc: simproc
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  val record_upd_simproc: simproc
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  val record_split_simproc: (term -> int) -> simproc
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  val record_ex_sel_eq_simproc: simproc
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  val record_split_tac: int -> tactic
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  val record_split_simp_tac: thm list -> (term -> int) -> int -> tactic
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  val record_split_name: string
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  val record_split_wrapper: string * wrapper
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  val print_record_type_abbr: bool ref
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  val print_record_type_as_fields: bool ref
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end;
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signature RECORD_PACKAGE =
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sig
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  include BASIC_RECORD_PACKAGE
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  val quiet_mode: bool ref
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  val record_quick_and_dirty_sensitive: bool ref
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  val updateN: string
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  val updN: string
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  val ext_typeN: string
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  val extN: string
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  val makeN: string
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  val moreN: string
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  val ext_dest: string
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  val KN:string
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  val last_extT: typ -> (string * typ list) option
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  val dest_recTs : typ -> (string * typ list) list
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  val get_extT_fields:  theory -> typ -> ((string * typ) list * (string * typ))
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  val get_recT_fields:  theory -> typ -> ((string * typ) list * (string * typ))
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  val get_extension: theory -> Symtab.key -> (string * typ list) option
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  val get_extinjects: theory -> thm list
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  val get_simpset: theory -> simpset
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  val print_records: theory -> unit
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  val add_record: string list * string -> string option -> (string * string * mixfix) list
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    -> theory -> theory
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  val add_record_i: string list * string -> (typ list * string) option
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    -> (string * typ * mixfix) list -> theory -> theory
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  val setup: theory -> theory
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end;
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structure RecordPackage: RECORD_PACKAGE =
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struct
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val rec_UNIV_I = thm "rec_UNIV_I";
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val rec_True_simp = thm "rec_True_simp";
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val Pair_eq = thm "Product_Type.Pair_eq";
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val atomize_all = thm "HOL.atomize_all";
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val atomize_imp = thm "HOL.atomize_imp";
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val meta_allE = thm "Pure.meta_allE";
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val prop_subst = thm "prop_subst";
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val Pair_sel_convs = [fst_conv,snd_conv];
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val K_record_apply = thm "Record.K_record_apply";
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val K_comp_convs = [o_apply,K_record_apply]
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(** name components **)
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val rN = "r";
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val wN = "w";
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val moreN = "more";
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val schemeN = "_scheme";
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val ext_typeN = "_ext_type";
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val extN ="_ext";
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val casesN = "_cases";
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val ext_dest = "_sel";
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val updateN = "_update";
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val updN = "_upd";
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val makeN = "make";
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val fields_selN = "fields";
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val extendN = "extend";
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val truncateN = "truncate";
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val KN = "Record.K_record";
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(*see typedef_package.ML*)
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val RepN = "Rep_";
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val AbsN = "Abs_";
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(*** utilities ***)
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fun but_last xs = fst (split_last xs);
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fun varifyT midx =
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  let fun varify (a, S) = TVar ((a, midx + 1), S);
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  in map_type_tfree varify end;
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fun the_plist (SOME (a,b)) = [a,b]
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  | the_plist NONE = raise Option;
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fun domain_type' T =
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    domain_type T handle Match => T;
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fun range_type' T =
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    range_type T handle Match => T;
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(* messages *)
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val quiet_mode = ref false;
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fun message s = if ! quiet_mode then () else writeln s;
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fun trace_thm str thm =
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    tracing (str ^ (Pretty.string_of (Display.pretty_thm thm)));
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fun trace_thms str thms =
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    (tracing str; map (trace_thm "") thms);
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fun trace_term str t =
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    tracing (str ^ (Display.raw_string_of_term t));
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(* timing *)
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fun timeit_msg s x = if !timing then (warning s; timeit x) else x ();
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fun timing_msg s = if !timing then warning s else ();
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(* syntax *)
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fun prune n xs = Library.drop (n, xs);
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fun prefix_base s = NameSpace.map_base (fn bname => s ^ bname);
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val Trueprop = HOLogic.mk_Trueprop;
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fun All xs t = Term.list_all_free (xs, t);
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infix 9 $$;
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infix 0 :== ===;
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infixr 0 ==>;
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val (op $$) = Term.list_comb;
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val (op :==) = Logic.mk_defpair;
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val (op ===) = Trueprop o HOLogic.mk_eq;
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val (op ==>) = Logic.mk_implies;
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(* morphisms *)
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fun mk_RepN name = suffix ext_typeN (prefix_base RepN name);
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fun mk_AbsN name = suffix ext_typeN (prefix_base AbsN name);
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fun mk_Rep name repT absT  =
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  Const (suffix ext_typeN (prefix_base RepN name),absT --> repT);
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fun mk_Abs name repT absT =
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  Const (mk_AbsN name,repT --> absT);
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(* constructor *)
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fun mk_extC (name,T) Ts  = (suffix extN name, Ts ---> T);
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fun mk_ext (name,T) ts =
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  let val Ts = map fastype_of ts
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  in list_comb (Const (mk_extC (name,T) Ts),ts) end;
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(* cases *)
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fun mk_casesC (name,T,vT) Ts = (suffix casesN name, (Ts ---> vT) --> T --> vT)
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fun mk_cases (name,T,vT) f =
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  let val Ts = binder_types (fastype_of f)
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  in Const (mk_casesC (name,T,vT) Ts) $ f end;
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(* selector *)
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fun mk_selC sT (c,T) = (c,sT --> T);
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fun mk_sel s (c,T) =
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  let val sT = fastype_of s
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  in Const (mk_selC sT (c,T)) $ s end;
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(* updates *)
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fun mk_updC sfx sT (c,T) = (suffix sfx c, (T --> T) --> sT --> sT);
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fun mk_upd' sfx c v sT =
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  let val vT = domain_type (fastype_of v);
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  in Const (mk_updC sfx sT (c, vT)) $ v  end;
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fun mk_upd sfx c v s = mk_upd' sfx c v (fastype_of s) $ s
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(* types *)
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fun dest_recT (typ as Type (c_ext_type, Ts as (T::_))) =
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      (case try (unsuffix ext_typeN) c_ext_type of
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        NONE => raise TYPE ("RecordPackage.dest_recT", [typ], [])
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      | SOME c => ((c, Ts), List.last Ts))
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  | dest_recT typ = raise TYPE ("RecordPackage.dest_recT", [typ], []);
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fun is_recT T =
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  (case try dest_recT T of NONE => false | SOME _ => true);
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fun dest_recTs T =
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  let val ((c, Ts), U) = dest_recT T
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  in (c, Ts) :: dest_recTs U
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  end handle TYPE _ => [];
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fun last_extT T =
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  let val ((c, Ts), U) = dest_recT T
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  in (case last_extT U of
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        NONE => SOME (c,Ts)
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      | SOME l => SOME l)
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  end handle TYPE _ => NONE
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fun rec_id i T =
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  let val rTs = dest_recTs T
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      val rTs' = if i < 0 then rTs else Library.take (i,rTs)
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  in Library.foldl (fn (s,(c,T)) => s ^ c) ("",rTs') end;
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(*** extend theory by record definition ***)
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(** record info **)
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(* type record_info and parent_info  *)
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type record_info =
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 {args: (string * sort) list,
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  parent: (typ list * string) option,
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  fields: (string * typ) list,
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  extension: (string * typ list),
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  induct: thm
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 };
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fun make_record_info args parent fields extension induct =
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 {args = args, parent = parent, fields = fields, extension = extension,
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  induct = induct}: record_info;
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type parent_info =
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 {name: string,
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  fields: (string * typ) list,
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  extension: (string * typ list),
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  induct: thm
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};
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fun make_parent_info name fields extension induct =
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 {name = name, fields = fields, extension = extension, induct = induct}: parent_info;
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(* data kind 'HOL/record' *)
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type record_data =
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 {records: record_info Symtab.table,
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  sel_upd:
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   {selectors: unit Symtab.table,
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    updates: string Symtab.table,
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    simpset: Simplifier.simpset},
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  equalities: thm Symtab.table,
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  extinjects: thm list,
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  extsplit: thm Symtab.table, (* maps extension name to split rule *)
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  splits: (thm*thm*thm*thm) Symtab.table,    (* !!,!,EX - split-equalities,induct rule *)
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  extfields: (string*typ) list Symtab.table, (* maps extension to its fields *)
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  fieldext: (string*typ list) Symtab.table   (* maps field to its extension *)
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};
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fun make_record_data
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      records sel_upd equalities extinjects extsplit splits extfields fieldext =
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 {records = records, sel_upd = sel_upd,
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  equalities = equalities, extinjects=extinjects, extsplit = extsplit, splits = splits,
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  extfields = extfields, fieldext = fieldext }: record_data;
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structure RecordsData = TheoryDataFun
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(struct
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  val name = "HOL/record"; 
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  type T = record_data;
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  val empty =
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    make_record_data Symtab.empty
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      {selectors = Symtab.empty, updates = Symtab.empty, simpset = HOL_basic_ss}
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       Symtab.empty [] Symtab.empty Symtab.empty Symtab.empty Symtab.empty;
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  val copy = I;
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  val extend = I;
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  fun merge _
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   ({records = recs1,
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     sel_upd = {selectors = sels1, updates = upds1, simpset = ss1},
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     equalities = equalities1,
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     extinjects = extinjects1,
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     extsplit = extsplit1,
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     splits = splits1,
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     extfields = extfields1,
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     fieldext = fieldext1},
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    {records = recs2,
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     sel_upd = {selectors = sels2, updates = upds2, simpset = ss2},
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     equalities = equalities2,
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     extinjects = extinjects2,
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     extsplit = extsplit2,
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     splits = splits2,
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     extfields = extfields2,
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     fieldext = fieldext2}) =
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    make_record_data
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      (Symtab.merge (K true) (recs1, recs2))
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      {selectors = Symtab.merge (K true) (sels1, sels2),
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        updates = Symtab.merge (K true) (upds1, upds2),
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        simpset = Simplifier.merge_ss (ss1, ss2)}
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      (Symtab.merge Thm.eq_thm (equalities1, equalities2))
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      (gen_merge_lists Thm.eq_thm extinjects1 extinjects2)
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      (Symtab.merge Thm.eq_thm (extsplit1,extsplit2))
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      (Symtab.merge (fn ((a,b,c,d),(w,x,y,z))
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                     => Thm.eq_thm (a,w) andalso Thm.eq_thm (b,x) andalso
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                        Thm.eq_thm (c,y) andalso Thm.eq_thm (d,z))
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                    (splits1, splits2))
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      (Symtab.merge (K true) (extfields1,extfields2))
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      (Symtab.merge (K true) (fieldext1,fieldext2));
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  fun print thy ({records = recs, ...}: record_data) =
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    let
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      val prt_typ = Sign.pretty_typ thy;
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      fun pretty_parent NONE = []
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        | pretty_parent (SOME (Ts, name)) =
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            [Pretty.block [prt_typ (Type (name, Ts)), Pretty.str " +"]];
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      fun pretty_field (c, T) = Pretty.block
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        [Pretty.str (Sign.extern_const thy c), Pretty.str " ::",
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          Pretty.brk 1, Pretty.quote (prt_typ T)];
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      fun pretty_record (name, {args, parent, fields, ...}: record_info) =
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        Pretty.block (Pretty.fbreaks (Pretty.block
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          [prt_typ (Type (name, map TFree args)), Pretty.str " = "] ::
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          pretty_parent parent @ map pretty_field fields));
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    in map pretty_record (Symtab.dest recs) |> Pretty.chunks |> Pretty.writeln end;
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end);
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val print_records = RecordsData.print;
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(* access 'records' *)
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val get_record = Symtab.lookup o #records o RecordsData.get;
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fun put_record name info thy =
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  let
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    val {records, sel_upd, equalities, extinjects,extsplit,splits,extfields,fieldext} =
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          RecordsData.get thy;
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    val data = make_record_data (Symtab.update (name, info) records)
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      sel_upd equalities extinjects extsplit splits extfields fieldext;
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  in RecordsData.put data thy end;
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   344
wenzelm@7178
   345
(* access 'sel_upd' *)
wenzelm@7178
   346
wenzelm@16458
   347
val get_sel_upd = #sel_upd o RecordsData.get;
wenzelm@7178
   348
wenzelm@17510
   349
val is_selector = Symtab.defined o #selectors o get_sel_upd;
wenzelm@17412
   350
val get_updates = Symtab.lookup o #updates o get_sel_upd;
wenzelm@17892
   351
fun get_simpset thy = Simplifier.theory_context thy (#simpset (get_sel_upd thy));
wenzelm@7178
   352
wenzelm@7178
   353
fun put_sel_upd names simps thy =
wenzelm@7178
   354
  let
wenzelm@7178
   355
    val sels = map (rpair ()) names;
wenzelm@7178
   356
    val upds = map (suffix updateN) names ~~ names;
wenzelm@7178
   357
wenzelm@17261
   358
    val {records, sel_upd = {selectors, updates, simpset},
schirmer@15015
   359
      equalities, extinjects, extsplit, splits, extfields,fieldext} = RecordsData.get thy;
wenzelm@7178
   360
    val data = make_record_data records
wenzelm@7178
   361
      {selectors = Symtab.extend (selectors, sels),
wenzelm@7178
   362
        updates = Symtab.extend (updates, upds),
wenzelm@7178
   363
        simpset = Simplifier.addsimps (simpset, simps)}
schirmer@15015
   364
       equalities extinjects extsplit splits extfields fieldext;
wenzelm@7178
   365
  in RecordsData.put data thy end;
wenzelm@7178
   366
berghofe@14079
   367
(* access 'equalities' *)
berghofe@14079
   368
berghofe@14079
   369
fun add_record_equalities name thm thy =
berghofe@14079
   370
  let
wenzelm@17261
   371
    val {records, sel_upd, equalities, extinjects, extsplit, splits, extfields,fieldext} =
schirmer@15015
   372
          RecordsData.get thy;
wenzelm@17261
   373
    val data = make_record_data records sel_upd
wenzelm@17412
   374
           (Symtab.update_new (name, thm) equalities) extinjects extsplit
schirmer@15015
   375
           splits extfields fieldext;
berghofe@14079
   376
  in RecordsData.put data thy end;
berghofe@14079
   377
wenzelm@17412
   378
val get_equalities =Symtab.lookup o #equalities o RecordsData.get;
berghofe@14079
   379
schirmer@15015
   380
(* access 'extinjects' *)
schirmer@15015
   381
schirmer@15015
   382
fun add_extinjects thm thy =
schirmer@15015
   383
  let
wenzelm@17261
   384
    val {records, sel_upd, equalities, extinjects, extsplit, splits, extfields,fieldext} =
schirmer@15015
   385
          RecordsData.get thy;
wenzelm@17261
   386
    val data = make_record_data records sel_upd equalities (extinjects@[thm]) extsplit
schirmer@15015
   387
                 splits extfields fieldext;
schirmer@15015
   388
  in RecordsData.put data thy end;
schirmer@15015
   389
wenzelm@18858
   390
fun get_extinjects thy = #extinjects (RecordsData.get thy);
schirmer@15015
   391
schirmer@15015
   392
(* access 'extsplit' *)
schirmer@15015
   393
schirmer@15015
   394
fun add_extsplit name thm thy =
schirmer@15015
   395
  let
wenzelm@17261
   396
    val {records, sel_upd, equalities, extinjects, extsplit, splits, extfields,fieldext} =
schirmer@15015
   397
          RecordsData.get thy;
wenzelm@17261
   398
    val data = make_record_data records sel_upd
wenzelm@17412
   399
      equalities extinjects (Symtab.update_new (name, thm) extsplit) splits
schirmer@15015
   400
      extfields fieldext;
schirmer@15015
   401
  in RecordsData.put data thy end;
schirmer@15015
   402
wenzelm@17412
   403
val get_extsplit = Symtab.lookup o #extsplit o RecordsData.get;
schirmer@15015
   404
schirmer@14255
   405
(* access 'splits' *)
schirmer@14255
   406
schirmer@14255
   407
fun add_record_splits name thmP thy =
schirmer@14255
   408
  let
wenzelm@17261
   409
    val {records, sel_upd, equalities, extinjects, extsplit, splits, extfields,fieldext} =
schirmer@15015
   410
          RecordsData.get thy;
wenzelm@17261
   411
    val data = make_record_data records sel_upd
wenzelm@17412
   412
      equalities extinjects extsplit (Symtab.update_new (name, thmP) splits)
schirmer@15015
   413
      extfields fieldext;
schirmer@14255
   414
  in RecordsData.put data thy end;
schirmer@14255
   415
wenzelm@17412
   416
val get_splits = Symtab.lookup o #splits o RecordsData.get;
schirmer@14255
   417
schirmer@15015
   418
schirmer@15015
   419
schirmer@14700
   420
(* extension of a record name *)
wenzelm@17261
   421
val get_extension =
wenzelm@17412
   422
  Option.map #extension oo (Symtab.lookup o #records o RecordsData.get);
wenzelm@17261
   423
berghofe@14079
   424
schirmer@14700
   425
(* access 'extfields' *)
schirmer@14700
   426
schirmer@14700
   427
fun add_extfields name fields thy =
schirmer@14700
   428
  let
wenzelm@17261
   429
    val {records, sel_upd, equalities, extinjects, extsplit,splits, extfields, fieldext} =
schirmer@15015
   430
          RecordsData.get thy;
wenzelm@17261
   431
    val data = make_record_data records sel_upd
wenzelm@17261
   432
         equalities extinjects extsplit splits
wenzelm@17412
   433
         (Symtab.update_new (name, fields) extfields) fieldext;
schirmer@14700
   434
  in RecordsData.put data thy end;
schirmer@14700
   435
wenzelm@17412
   436
val get_extfields = Symtab.lookup o #extfields o RecordsData.get;
schirmer@14700
   437
wenzelm@18858
   438
fun get_extT_fields thy T =
schirmer@15059
   439
  let
schirmer@15059
   440
    val ((name,Ts),moreT) = dest_recT T;
wenzelm@17261
   441
    val recname = let val (nm::recn::rst) = rev (NameSpace.unpack name)
schirmer@15059
   442
                  in NameSpace.pack (rev (nm::rst)) end;
schirmer@15059
   443
    val midx = maxidx_of_typs (moreT::Ts);
schirmer@19748
   444
    val varifyT = varifyT midx;
wenzelm@18858
   445
    val {records,extfields,...} = RecordsData.get thy;
wenzelm@18931
   446
    val (flds,(more,_)) = split_last (Symtab.lookup_list extfields name);
wenzelm@17412
   447
    val args = map varifyT (snd (#extension (the (Symtab.lookup records recname))));
schirmer@15058
   448
schirmer@19748
   449
    val subst = fold (Sign.typ_match thy) (but_last args ~~ but_last Ts) (Vartab.empty);
schirmer@15059
   450
    val flds' = map (apsnd ((Envir.norm_type subst) o varifyT)) flds;
schirmer@15059
   451
  in (flds',(more,moreT)) end;
schirmer@15058
   452
wenzelm@18858
   453
fun get_recT_fields thy T =
wenzelm@17261
   454
  let
wenzelm@18858
   455
    val (root_flds,(root_more,root_moreT)) = get_extT_fields thy T;
wenzelm@17261
   456
    val (rest_flds,rest_more) =
wenzelm@18858
   457
           if is_recT root_moreT then get_recT_fields thy root_moreT
schirmer@15059
   458
           else ([],(root_more,root_moreT));
schirmer@15059
   459
  in (root_flds@rest_flds,rest_more) end;
schirmer@15059
   460
schirmer@15058
   461
schirmer@14700
   462
(* access 'fieldext' *)
schirmer@14700
   463
schirmer@14700
   464
fun add_fieldext extname_types fields thy =
schirmer@14700
   465
  let
wenzelm@17261
   466
    val {records, sel_upd, equalities, extinjects, extsplit, splits, extfields, fieldext} =
schirmer@15015
   467
           RecordsData.get thy;
wenzelm@17261
   468
    val fieldext' =
wenzelm@17412
   469
      fold (fn field => Symtab.update_new (field, extname_types)) fields fieldext;
wenzelm@17261
   470
    val data=make_record_data records sel_upd equalities extinjects extsplit
schirmer@15015
   471
              splits extfields fieldext';
schirmer@14700
   472
  in RecordsData.put data thy end;
schirmer@14700
   473
schirmer@14700
   474
wenzelm@17412
   475
val get_fieldext = Symtab.lookup o #fieldext o RecordsData.get;
schirmer@14700
   476
wenzelm@4867
   477
(* parent records *)
wenzelm@4867
   478
skalberg@15531
   479
fun add_parents thy NONE parents = parents
skalberg@15531
   480
  | add_parents thy (SOME (types, name)) parents =
wenzelm@12247
   481
      let
wenzelm@12247
   482
        val sign = Theory.sign_of thy;
wenzelm@12247
   483
        fun err msg = error (msg ^ " parent record " ^ quote name);
wenzelm@12255
   484
schirmer@14700
   485
        val {args, parent, fields, extension, induct} =
skalberg@15531
   486
          (case get_record thy name of SOME info => info | NONE => err "Unknown");
wenzelm@12247
   487
        val _ = if length types <> length args then err "Bad number of arguments for" else ();
wenzelm@12255
   488
wenzelm@12247
   489
        fun bad_inst ((x, S), T) =
skalberg@15531
   490
          if Sign.of_sort sign (T, S) then NONE else SOME x
skalberg@15570
   491
        val bads = List.mapPartial bad_inst (args ~~ types);
wenzelm@12255
   492
wenzelm@12247
   493
        val inst = map fst args ~~ types;
haftmann@17377
   494
        val subst = Term.map_type_tfree (the o AList.lookup (op =) inst o fst);
skalberg@15570
   495
        val parent' = Option.map (apfst (map subst)) parent;
wenzelm@12247
   496
        val fields' = map (apsnd subst) fields;
schirmer@14700
   497
        val extension' = apsnd (map subst) extension;
wenzelm@12247
   498
      in
wenzelm@12255
   499
        conditional (not (null bads)) (fn () =>
wenzelm@12255
   500
          err ("Ill-sorted instantiation of " ^ commas bads ^ " in"));
wenzelm@12255
   501
        add_parents thy parent'
schirmer@14700
   502
          (make_parent_info name fields' extension' induct::parents)
wenzelm@12247
   503
      end;
wenzelm@4867
   504
wenzelm@4867
   505
schirmer@14700
   506
(** concrete syntax for records **)
schirmer@14700
   507
schirmer@14700
   508
(* parse translations *)
schirmer@14700
   509
schirmer@14700
   510
fun gen_field_tr mark sfx (t as Const (c, _) $ Const (name, _) $ arg) =
schirmer@21226
   511
      if c = mark then Syntax.const (suffix sfx name) $ (Syntax.const KN $ arg)
schirmer@14700
   512
      else raise TERM ("gen_field_tr: " ^ mark, [t])
schirmer@14700
   513
  | gen_field_tr mark _ t = raise TERM ("gen_field_tr: " ^ mark, [t]);
schirmer@14700
   514
schirmer@14700
   515
fun gen_fields_tr sep mark sfx (tm as Const (c, _) $ t $ u) =
schirmer@14700
   516
      if c = sep then gen_field_tr mark sfx t :: gen_fields_tr sep mark sfx u
schirmer@14700
   517
      else [gen_field_tr mark sfx tm]
schirmer@14700
   518
  | gen_fields_tr _ mark sfx tm = [gen_field_tr mark sfx tm];
schirmer@14700
   519
schirmer@14700
   520
schirmer@14700
   521
fun record_update_tr [t, u] =
haftmann@21078
   522
      Library.foldr (op $) (rev (gen_fields_tr "_updates" "_update" updateN u), t)
schirmer@14700
   523
  | record_update_tr ts = raise TERM ("record_update_tr", ts);
schirmer@14700
   524
schirmer@14700
   525
fun update_name_tr (Free (x, T) :: ts) = Free (suffix updateN x, T) $$ ts
schirmer@14700
   526
  | update_name_tr (Const (x, T) :: ts) = Const (suffix updateN x, T) $$ ts
schirmer@14700
   527
  | update_name_tr (((c as Const ("_constrain", _)) $ t $ ty) :: ts) =
schirmer@14700
   528
      (c $ update_name_tr [t] $ (Syntax.const "fun" $ ty $ Syntax.const "dummy")) $$ ts
schirmer@14700
   529
  | update_name_tr ts = raise TERM ("update_name_tr", ts);
schirmer@14700
   530
schirmer@14700
   531
fun dest_ext_field mark (t as (Const (c,_) $ Const (name,_) $ arg)) =
schirmer@14700
   532
     if c = mark then (name,arg) else raise TERM ("dest_ext_field: " ^ mark, [t])
schirmer@14700
   533
  | dest_ext_field _ t = raise TERM ("dest_ext_field", [t])
schirmer@14700
   534
schirmer@14700
   535
fun dest_ext_fields sep mark (trm as (Const (c,_) $ t $ u)) =
schirmer@14700
   536
     if c = sep then dest_ext_field mark t::dest_ext_fields sep mark u
schirmer@14700
   537
     else [dest_ext_field mark trm]
schirmer@14700
   538
  | dest_ext_fields _ mark t = [dest_ext_field mark t]
schirmer@14700
   539
wenzelm@18858
   540
fun gen_ext_fields_tr sep mark sfx more context t =
wenzelm@17261
   541
  let
wenzelm@18858
   542
    val thy = Context.theory_of context;
schirmer@14709
   543
    val msg = "error in record input: ";
wenzelm@17261
   544
    val fieldargs = dest_ext_fields sep mark t;
schirmer@14700
   545
    fun splitargs (field::fields) ((name,arg)::fargs) =
schirmer@14709
   546
          if can (unsuffix name) field
schirmer@14700
   547
          then let val (args,rest) = splitargs fields fargs
schirmer@14700
   548
               in (arg::args,rest) end
schirmer@14709
   549
          else raise TERM (msg ^ "expecting field " ^ field ^ " but got " ^ name, [t])
schirmer@14700
   550
      | splitargs [] (fargs as (_::_)) = ([],fargs)
schirmer@14709
   551
      | splitargs (_::_) [] = raise TERM (msg ^ "expecting more fields", [t])
schirmer@14700
   552
      | splitargs _ _ = ([],[]);
schirmer@14700
   553
schirmer@14700
   554
    fun mk_ext (fargs as (name,arg)::_) =
wenzelm@18858
   555
         (case get_fieldext thy (Sign.intern_const thy name) of
wenzelm@18858
   556
            SOME (ext,_) => (case get_extfields thy ext of
wenzelm@17261
   557
                               SOME flds
wenzelm@17261
   558
                                 => let val (args,rest) =
schirmer@14700
   559
                                               splitargs (map fst (but_last flds)) fargs;
wenzelm@17261
   560
                                        val more' = mk_ext rest;
schirmer@14700
   561
                                    in list_comb (Syntax.const (suffix sfx ext),args@[more'])
schirmer@14700
   562
                                    end
skalberg@15531
   563
                             | NONE => raise TERM(msg ^ "no fields defined for "
schirmer@14700
   564
                                                   ^ ext,[t]))
skalberg@15531
   565
          | NONE => raise TERM (msg ^ name ^" is no proper field",[t]))
schirmer@14700
   566
      | mk_ext [] = more
schirmer@14700
   567
wenzelm@17261
   568
  in mk_ext fieldargs end;
schirmer@14700
   569
wenzelm@18858
   570
fun gen_ext_type_tr sep mark sfx more context t =
wenzelm@17261
   571
  let
wenzelm@18858
   572
    val thy = Context.theory_of context;
schirmer@14709
   573
    val msg = "error in record-type input: ";
wenzelm@17261
   574
    val fieldargs = dest_ext_fields sep mark t;
schirmer@14700
   575
    fun splitargs (field::fields) ((name,arg)::fargs) =
schirmer@14709
   576
          if can (unsuffix name) field
schirmer@14700
   577
          then let val (args,rest) = splitargs fields fargs
schirmer@14700
   578
               in (arg::args,rest) end
schirmer@14709
   579
          else raise TERM (msg ^ "expecting field " ^ field ^ " but got " ^ name, [t])
schirmer@14700
   580
      | splitargs [] (fargs as (_::_)) = ([],fargs)
schirmer@14709
   581
      | splitargs (_::_) [] = raise TERM (msg ^ "expecting more fields", [t])
schirmer@14700
   582
      | splitargs _ _ = ([],[]);
schirmer@14700
   583
wenzelm@18858
   584
    fun get_sort xs n = AList.lookup (op =) xs n |> the_default (Sign.defaultS thy);
wenzelm@17261
   585
wenzelm@18858
   586
    fun to_type t = Sign.certify_typ thy
wenzelm@18858
   587
                       (Sign.intern_typ thy
schirmer@15957
   588
                         (Syntax.typ_of_term (get_sort (Syntax.raw_term_sorts t)) I t));
wenzelm@16934
   589
schirmer@14700
   590
    fun mk_ext (fargs as (name,arg)::_) =
wenzelm@18858
   591
         (case get_fieldext thy (Sign.intern_const thy name) of
wenzelm@17261
   592
            SOME (ext,alphas) =>
wenzelm@18858
   593
              (case get_extfields thy ext of
wenzelm@17261
   594
                 SOME flds
schirmer@14700
   595
                  => (let
schirmer@14700
   596
                       val flds' = but_last flds;
wenzelm@17261
   597
                       val types = map snd flds';
schirmer@14700
   598
                       val (args,rest) = splitargs (map fst flds') fargs;
schirmer@14700
   599
                       val argtypes = map to_type args;
schirmer@19748
   600
                       val midx =  fold (fn T => fn i => Int.max (maxidx_of_typ T, i)) 
schirmer@19748
   601
                                    argtypes 0;
schirmer@19748
   602
                       val varifyT = varifyT midx;
schirmer@19748
   603
                       val vartypes = map varifyT types;
schirmer@19748
   604
schirmer@19748
   605
                       val subst = fold (Sign.typ_match thy) (vartypes ~~ argtypes)
schirmer@19748
   606
                                            Vartab.empty;
wenzelm@17261
   607
                       val alphas' = map ((Syntax.term_of_typ (! Syntax.show_sorts)) o
schirmer@19748
   608
                                          Envir.norm_type subst o varifyT)
schirmer@14700
   609
                                         (but_last alphas);
wenzelm@17261
   610
wenzelm@17261
   611
                       val more' = mk_ext rest;
wenzelm@17261
   612
                     in list_comb (Syntax.const (suffix sfx ext),alphas'@[more'])
schirmer@19750
   613
                     end handle TYPE_MATCH => raise
schirmer@14709
   614
                           TERM (msg ^ "type is no proper record (extension)", [t]))
skalberg@15531
   615
               | NONE => raise TERM (msg ^ "no fields defined for " ^ ext,[t]))
skalberg@15531
   616
          | NONE => raise TERM (msg ^ name ^" is no proper field",[t]))
schirmer@14700
   617
      | mk_ext [] = more
schirmer@14700
   618
wenzelm@17261
   619
  in mk_ext fieldargs end;
schirmer@14700
   620
wenzelm@18858
   621
fun gen_adv_record_tr sep mark sfx unit context [t] =
wenzelm@18858
   622
      gen_ext_fields_tr sep mark sfx unit context t
schirmer@14700
   623
  | gen_adv_record_tr _ _ _ _ _ ts = raise TERM ("gen_record_tr", ts);
schirmer@14700
   624
wenzelm@18858
   625
fun gen_adv_record_scheme_tr sep mark sfx context [t, more] =
wenzelm@18858
   626
      gen_ext_fields_tr sep mark sfx more context t
schirmer@14700
   627
  | gen_adv_record_scheme_tr _ _ _ _ ts = raise TERM ("gen_record_scheme_tr", ts);
schirmer@14700
   628
wenzelm@18858
   629
fun gen_adv_record_type_tr sep mark sfx unit context [t] =
wenzelm@18858
   630
      gen_ext_type_tr sep mark sfx unit context t
schirmer@14700
   631
  | gen_adv_record_type_tr _ _ _ _ _ ts = raise TERM ("gen_record_tr", ts);
schirmer@14700
   632
wenzelm@18858
   633
fun gen_adv_record_type_scheme_tr sep mark sfx context [t, more] =
wenzelm@18858
   634
      gen_ext_type_tr sep mark sfx more context t
schirmer@14700
   635
  | gen_adv_record_type_scheme_tr _ _ _ _ ts = raise TERM ("gen_record_scheme_tr", ts);
schirmer@14700
   636
schirmer@14700
   637
val adv_record_tr = gen_adv_record_tr "_fields" "_field" extN HOLogic.unit;
schirmer@14700
   638
val adv_record_scheme_tr = gen_adv_record_scheme_tr "_fields" "_field" extN;
schirmer@14700
   639
wenzelm@17261
   640
val adv_record_type_tr =
wenzelm@17261
   641
      gen_adv_record_type_tr "_field_types" "_field_type" ext_typeN
schirmer@14700
   642
        (Syntax.term_of_typ false (HOLogic.unitT));
wenzelm@17261
   643
val adv_record_type_scheme_tr =
schirmer@14700
   644
      gen_adv_record_type_scheme_tr "_field_types" "_field_type" ext_typeN;
schirmer@14700
   645
schirmer@15215
   646
schirmer@21226
   647
val parse_translation = 
schirmer@14700
   648
 [("_record_update", record_update_tr),
wenzelm@17261
   649
  ("_update_name", update_name_tr)];
schirmer@14700
   650
schirmer@21226
   651
schirmer@21226
   652
val adv_parse_translation = 
schirmer@14700
   653
 [("_record",adv_record_tr),
schirmer@14700
   654
  ("_record_scheme",adv_record_scheme_tr),
schirmer@14700
   655
  ("_record_type",adv_record_type_tr),
wenzelm@17261
   656
  ("_record_type_scheme",adv_record_type_scheme_tr)];
schirmer@14700
   657
schirmer@21226
   658
schirmer@14700
   659
(* print translations *)
schirmer@14700
   660
schirmer@14700
   661
val print_record_type_abbr = ref true;
schirmer@14700
   662
val print_record_type_as_fields = ref true;
schirmer@14700
   663
schirmer@21226
   664
fun gen_field_upds_tr' mark sfx (tm as Const (name_field, _) $ (Const ("K_record",_)$t) $ u) =
schirmer@14700
   665
    (case try (unsuffix sfx) name_field of
skalberg@15531
   666
      SOME name =>
schirmer@14700
   667
        apfst (cons (Syntax.const mark $ Syntax.free name $ t)) (gen_field_upds_tr' mark sfx u)
skalberg@15531
   668
     | NONE => ([], tm))
schirmer@14700
   669
  | gen_field_upds_tr' _ _ tm = ([], tm);
schirmer@14700
   670
schirmer@14700
   671
fun record_update_tr' tm =
schirmer@14700
   672
  let val (ts, u) = gen_field_upds_tr' "_update" updateN tm in
schirmer@21226
   673
    if null ts then raise Match
schirmer@21226
   674
    else Syntax.const "_record_update" $ u $
schirmer@21226
   675
          foldr1 (fn (v, w) => Syntax.const "_updates" $ v $ w) (rev ts)
schirmer@14700
   676
  end;
schirmer@14700
   677
schirmer@14700
   678
fun gen_field_tr' sfx tr' name =
schirmer@14700
   679
  let val name_sfx = suffix sfx name
schirmer@14700
   680
  in (name_sfx, fn [t, u] => tr' (Syntax.const name_sfx $ t $ u) | _ => raise Match) end;
schirmer@14700
   681
wenzelm@18858
   682
fun record_tr' sep mark record record_scheme unit context t =
wenzelm@17261
   683
  let
wenzelm@18858
   684
    val thy = Context.theory_of context;
schirmer@14700
   685
    fun field_lst t =
schirmer@14700
   686
      (case strip_comb t of
schirmer@17600
   687
        (Const (ext,_),args as (_::_))
wenzelm@18858
   688
         => (case try (unsuffix extN) (Sign.intern_const thy ext) of
wenzelm@17261
   689
               SOME ext'
wenzelm@18858
   690
               => (case get_extfields thy ext' of
wenzelm@17261
   691
                     SOME flds
schirmer@14700
   692
                     => (let
schirmer@14700
   693
                          val (f::fs) = but_last (map fst flds);
wenzelm@18858
   694
                          val flds' = Sign.extern_const thy f :: map NameSpace.base fs;
wenzelm@17261
   695
                          val (args',more) = split_last args;
schirmer@14700
   696
                         in (flds'~~args')@field_lst more end
wenzelm@19841
   697
                         handle Library.UnequalLengths => [("",t)])
skalberg@15531
   698
                   | NONE => [("",t)])
skalberg@15531
   699
             | NONE => [("",t)])
schirmer@14700
   700
       | _ => [("",t)])
schirmer@14700
   701
schirmer@14700
   702
    val (flds,(_,more)) = split_last (field_lst t);
schirmer@21226
   703
    val _ = if null flds then raise Match else ();
schirmer@14700
   704
    val flds' = map (fn (n,t)=>Syntax.const mark$Syntax.const n$t) flds;
schirmer@14700
   705
    val flds'' = foldr1 (fn (x,y) => Syntax.const sep$x$y) flds';
schirmer@14700
   706
schirmer@21226
   707
  in if unit more
schirmer@21226
   708
     then Syntax.const record$flds''
schirmer@21226
   709
     else Syntax.const record_scheme$flds''$more
schirmer@14700
   710
  end
schirmer@14700
   711
wenzelm@17261
   712
fun gen_record_tr' name =
schirmer@14700
   713
  let val name_sfx = suffix extN name;
schirmer@14700
   714
      val unit = (fn Const ("Unity",_) => true | _ => false);
wenzelm@18858
   715
      fun tr' context ts = record_tr' "_fields" "_field" "_record" "_record_scheme" unit context
schirmer@14700
   716
                       (list_comb (Syntax.const name_sfx,ts))
schirmer@14700
   717
  in (name_sfx,tr')
schirmer@14700
   718
  end
schirmer@14700
   719
schirmer@14700
   720
fun print_translation names =
schirmer@14700
   721
  map (gen_field_tr' updateN record_update_tr') names;
schirmer@14700
   722
schirmer@19748
   723
schirmer@14700
   724
(* record_type_abbr_tr' tries to reconstruct the record name type abbreviation from *)
schirmer@14700
   725
(* the (nested) extension types.                                                    *)
wenzelm@18858
   726
fun record_type_abbr_tr' default_tr' abbr alphas zeta lastExt schemeT context tm =
schirmer@14700
   727
  let
wenzelm@18858
   728
      val thy = Context.theory_of context;
schirmer@14700
   729
      (* tm is term representation of a (nested) field type. We first reconstruct the      *)
schirmer@14700
   730
      (* type from tm so that we can continue on the type level rather then the term level.*)
schirmer@14700
   731
wenzelm@18858
   732
      fun get_sort xs n = AList.lookup (op =) xs n |> the_default (Sign.defaultS thy);
schirmer@14700
   733
schirmer@15273
   734
      (* WORKAROUND:
wenzelm@17261
   735
       * If a record type occurs in an error message of type inference there
schirmer@15273
   736
       * may be some internal frees donoted by ??:
wenzelm@17261
   737
       * (Const "_tfree",_)$Free ("??'a",_).
wenzelm@17261
   738
wenzelm@17261
   739
       * This will unfortunately be translated to Type ("??'a",[]) instead of
wenzelm@17261
   740
       * TFree ("??'a",_) by typ_of_term, which will confuse unify below.
schirmer@15273
   741
       * fixT works around.
schirmer@15273
   742
       *)
wenzelm@17261
   743
      fun fixT (T as Type (x,[])) =
wenzelm@18858
   744
            if String.isPrefix "??'" x then TFree (x,Sign.defaultS thy) else T
schirmer@15273
   745
        | fixT (Type (x,xs)) = Type (x,map fixT xs)
schirmer@15273
   746
        | fixT T = T;
wenzelm@17261
   747
wenzelm@18858
   748
      val T = fixT (Sign.intern_typ thy
wenzelm@17261
   749
                      (Syntax.typ_of_term (get_sort (Syntax.raw_term_sorts tm)) I tm));
schirmer@19748
   750
      val midx = maxidx_of_typ T;
schirmer@19748
   751
      val varifyT = varifyT midx;
schirmer@14700
   752
wenzelm@17261
   753
      fun mk_type_abbr subst name alphas =
schirmer@19748
   754
          let val abbrT = Type (name, map (fn a => varifyT (TFree (a, Sign.defaultS thy))) alphas);
wenzelm@17261
   755
          in Syntax.term_of_typ (! Syntax.show_sorts)
wenzelm@18858
   756
               (Sign.extern_typ thy (Envir.norm_type subst abbrT)) end;
schirmer@14700
   757
schirmer@19748
   758
      fun match rT T = (Sign.typ_match thy (varifyT rT,T) 
schirmer@19748
   759
                                                Vartab.empty);
schirmer@14700
   760
schirmer@14700
   761
   in if !print_record_type_abbr
schirmer@14700
   762
      then (case last_extT T of
wenzelm@17261
   763
             SOME (name,_)
wenzelm@17261
   764
              => if name = lastExt
schirmer@14700
   765
                 then
wenzelm@17261
   766
                  (let
schirmer@19748
   767
                     val subst = match schemeT T
wenzelm@17261
   768
                   in
schirmer@19748
   769
                    if HOLogic.is_unitT (Envir.norm_type subst (varifyT (TFree(zeta,Sign.defaultS thy))))
schirmer@14700
   770
                    then mk_type_abbr subst abbr alphas
schirmer@14700
   771
                    else mk_type_abbr subst (suffix schemeN abbr) (alphas@[zeta])
schirmer@19750
   772
                   end handle TYPE_MATCH => default_tr' context tm)
schirmer@14700
   773
                 else raise Match (* give print translation of specialised record a chance *)
schirmer@14700
   774
            | _ => raise Match)
wenzelm@18858
   775
       else default_tr' context tm
schirmer@14700
   776
  end
schirmer@14700
   777
wenzelm@18858
   778
fun record_type_tr' sep mark record record_scheme context t =
schirmer@14700
   779
  let
wenzelm@18858
   780
    val thy = Context.theory_of context;
wenzelm@18858
   781
    fun get_sort xs n = AList.lookup (op =) xs n |> the_default (Sign.defaultS thy);
schirmer@14700
   782
wenzelm@18858
   783
    val T = Sign.intern_typ thy (Syntax.typ_of_term (get_sort (Syntax.raw_term_sorts t)) I t)
schirmer@19748
   784
    val varifyT = varifyT (Term.maxidx_of_typ T)
schirmer@14700
   785
wenzelm@18858
   786
    fun term_of_type T = Syntax.term_of_typ (!Syntax.show_sorts) (Sign.extern_typ thy T);
wenzelm@17261
   787
schirmer@14700
   788
    fun field_lst T =
schirmer@14700
   789
      (case T of
wenzelm@17261
   790
        Type (ext,args)
schirmer@14700
   791
         => (case try (unsuffix ext_typeN) ext of
wenzelm@17261
   792
               SOME ext'
wenzelm@18858
   793
               => (case get_extfields thy ext' of
wenzelm@17261
   794
                     SOME flds
wenzelm@18858
   795
                     => (case get_fieldext thy (fst (hd flds)) of
wenzelm@17261
   796
                           SOME (_,alphas)
schirmer@14700
   797
                           => (let
schirmer@14700
   798
                                val (f::fs) = but_last flds;
wenzelm@18858
   799
                                val flds' = apfst (Sign.extern_const thy) f
wenzelm@17261
   800
                                            ::map (apfst NameSpace.base) fs;
wenzelm@17261
   801
                                val (args',more) = split_last args;
schirmer@19748
   802
                                val alphavars = map varifyT (but_last alphas);
schirmer@19748
   803
                                val subst= fold (Sign.typ_match thy) (alphavars~~args')
schirmer@19748
   804
                                                    Vartab.empty;
schirmer@19748
   805
                                val flds'' =map (apsnd (Envir.norm_type subst o varifyT))
schirmer@14700
   806
                                                flds';
schirmer@14700
   807
                              in flds''@field_lst more end
schirmer@19750
   808
                              handle TYPE_MATCH     => [("",T)]
wenzelm@19841
   809
                                   | Library.UnequalLengths => [("",T)])
skalberg@15531
   810
                         | NONE => [("",T)])
skalberg@15531
   811
                   | NONE => [("",T)])
wenzelm@17261
   812
             | NONE => [("",T)])
schirmer@14700
   813
        | _ => [("",T)])
schirmer@14700
   814
schirmer@14700
   815
    val (flds,(_,moreT)) = split_last (field_lst T);
schirmer@14700
   816
    val flds' = map (fn (n,T)=>Syntax.const mark$Syntax.const n$term_of_type T) flds;
schirmer@14700
   817
    val flds'' = foldr1 (fn (x,y) => Syntax.const sep$x$y) flds';
schirmer@14700
   818
schirmer@14700
   819
  in if not (!print_record_type_as_fields) orelse null flds then raise Match
wenzelm@17261
   820
     else if moreT = HOLogic.unitT
wenzelm@17261
   821
          then Syntax.const record$flds''
schirmer@14700
   822
          else Syntax.const record_scheme$flds''$term_of_type moreT
schirmer@14700
   823
  end
wenzelm@17261
   824
schirmer@14700
   825
wenzelm@17261
   826
fun gen_record_type_tr' name =
schirmer@14700
   827
  let val name_sfx = suffix ext_typeN name;
wenzelm@18858
   828
      fun tr' context ts = record_type_tr' "_field_types" "_field_type"
wenzelm@18858
   829
                       "_record_type" "_record_type_scheme" context
schirmer@14700
   830
                       (list_comb (Syntax.const name_sfx,ts))
schirmer@14700
   831
  in (name_sfx,tr')
schirmer@14700
   832
  end
schirmer@14700
   833
wenzelm@17261
   834
schirmer@14700
   835
fun gen_record_type_abbr_tr' abbr alphas zeta lastExt schemeT name =
schirmer@14700
   836
  let val name_sfx = suffix ext_typeN name;
wenzelm@17261
   837
      val default_tr' = record_type_tr' "_field_types" "_field_type"
wenzelm@17261
   838
                               "_record_type" "_record_type_scheme"
wenzelm@18858
   839
      fun tr' context ts =
wenzelm@18858
   840
          record_type_abbr_tr' default_tr' abbr alphas zeta lastExt schemeT context
wenzelm@18858
   841
                               (list_comb (Syntax.const name_sfx,ts))
schirmer@14700
   842
  in (name_sfx, tr') end;
schirmer@14700
   843
schirmer@15015
   844
(** record simprocs **)
schirmer@14358
   845
schirmer@15015
   846
val record_quick_and_dirty_sensitive = ref false;
schirmer@15015
   847
schirmer@15215
   848
wenzelm@18858
   849
fun quick_and_dirty_prove stndrd thy asms prop tac =
schirmer@15015
   850
  if !record_quick_and_dirty_sensitive andalso !quick_and_dirty
wenzelm@20049
   851
  then Goal.prove (ProofContext.init thy) [] []
wenzelm@20049
   852
        (Logic.list_implies (map Logic.varify asms,Logic.varify prop))
schirmer@15015
   853
        (K (SkipProof.cheat_tac HOL.thy))
schirmer@15015
   854
        (* standard can take quite a while for large records, thats why
wenzelm@17261
   855
         * we varify the proposition manually here.*)
wenzelm@20049
   856
  else let val prf = Goal.prove (ProofContext.init thy) [] asms prop tac;
wenzelm@17261
   857
       in if stndrd then standard prf else prf end;
schirmer@15215
   858
wenzelm@17261
   859
fun quick_and_dirty_prf noopt opt () =
wenzelm@17261
   860
      if !record_quick_and_dirty_sensitive andalso !quick_and_dirty
schirmer@15215
   861
      then noopt ()
schirmer@15215
   862
      else opt ();
wenzelm@4867
   863
schirmer@21226
   864
local
schirmer@21226
   865
fun abstract_over_fun_app (Abs (f,fT,t)) =
schirmer@21226
   866
  let
schirmer@21226
   867
     val (f',t') = Term.dest_abs (f,fT,t);
schirmer@21226
   868
     val T = domain_type fT;
schirmer@21226
   869
     val (x,T') = hd (Term.variant_frees t' [("x",T)]);
schirmer@21226
   870
     val f_x = Free (f',fT)$(Free (x,T'));
schirmer@21226
   871
     fun is_constr (Const (c,_)$_) = can (unsuffix extN) c
schirmer@21226
   872
       | is_constr _ = false;
schirmer@21226
   873
     fun subst (t as u$w) = if Free (f',fT)=u 
schirmer@21226
   874
                            then if is_constr w then f_x 
schirmer@21226
   875
                                 else raise TERM ("abstract_over_fun_app",[t])
schirmer@21226
   876
                            else subst u$subst w
schirmer@21226
   877
       | subst (Abs (x,T,t)) = (Abs (x,T,subst t))
schirmer@21226
   878
       | subst t = t
schirmer@21226
   879
     val t'' = abstract_over (f_x,subst t');
schirmer@21226
   880
     val vars = strip_qnt_vars "all" t'';
schirmer@21226
   881
     val bdy = strip_qnt_body "all" t'';
schirmer@21226
   882
     
schirmer@21226
   883
  in list_abs ((x,T')::vars,bdy) end
schirmer@21226
   884
  | abstract_over_fun_app t = raise TERM ("abstract_over_fun_app",[t]);
schirmer@21226
   885
(* Generates a theorem of the kind:
schirmer@21226
   886
 * !!f x*. PROP P (f ( r x* ) x* == !!r x*. PROP P r x* 
schirmer@21226
   887
 *) 
schirmer@21226
   888
fun mk_fun_apply_eq (Abs (f, fT, t)) thy =
schirmer@21226
   889
  let
schirmer@21226
   890
    val rT = domain_type fT;
schirmer@21226
   891
    val vars = Term.strip_qnt_vars "all" t;
schirmer@21226
   892
    val Ts = map snd vars;
schirmer@21226
   893
    val n = length vars;
schirmer@21226
   894
    fun app_bounds 0 t = t$Bound 0
schirmer@21226
   895
      | app_bounds n t = if n > 0 then app_bounds (n-1) (t$Bound n) else t
schirmer@21226
   896
schirmer@21226
   897
   
schirmer@21226
   898
    val [P,r] = Term.variant_frees t [("P",rT::Ts--->Term.propT),("r",Ts--->rT)];
schirmer@21226
   899
    val prop = Logic.mk_equals
schirmer@21226
   900
                (list_all ((f,fT)::vars,
schirmer@21226
   901
                           app_bounds (n - 1) ((Free P)$(Bound n$app_bounds (n-1) (Free r)))),
schirmer@21226
   902
                 list_all ((fst r,rT)::vars,
schirmer@21226
   903
                           app_bounds (n - 1) ((Free P)$Bound n))); 
schirmer@21226
   904
    val prove_standard = quick_and_dirty_prove true thy;
schirmer@21226
   905
    val thm = prove_standard [] prop (fn prems =>
schirmer@21226
   906
	 EVERY [rtac equal_intr_rule 1, 
schirmer@21226
   907
                norm_hhf_tac 1,REPEAT (etac meta_allE 1), atac 1,
schirmer@21226
   908
                norm_hhf_tac 1,REPEAT (etac meta_allE 1), atac 1]);
schirmer@21226
   909
  in thm end
schirmer@21226
   910
  | mk_fun_apply_eq t thy = raise TERM ("mk_fun_apply_eq",[t]);
schirmer@21226
   911
schirmer@21226
   912
in
schirmer@21226
   913
(* During proof of theorems produced by record_simproc you can end up in
schirmer@21226
   914
 * situations like "!!f ... . ... f r ..." where f is an extension update function.
schirmer@21226
   915
 * In order to split "f r" we transform this to "!!r ... . ... r ..." so that the
schirmer@21226
   916
 * usual split rules for extensions can apply.
schirmer@21226
   917
 *)
schirmer@21226
   918
val record_split_f_more_simproc =
schirmer@21226
   919
  Simplifier.simproc HOL.thy "record_split_f_more_simp" ["x"]
schirmer@21226
   920
    (fn thy => fn _ => fn t =>
schirmer@21226
   921
      (case t of (Const ("all", Type (_, [Type (_, [Type("fun",[T,T']), _]), _])))$
schirmer@21226
   922
                  (trm as Abs _) =>
schirmer@21226
   923
         (case rec_id (~1) T of
schirmer@21226
   924
            "" => NONE
schirmer@21226
   925
          | n => if T=T'  
schirmer@21226
   926
                 then (let
schirmer@21226
   927
                        val P=cterm_of thy (abstract_over_fun_app trm); 
schirmer@21226
   928
                        val thm = mk_fun_apply_eq trm thy;
schirmer@21226
   929
                        val PV = cterm_of thy (hd (term_vars (prop_of thm)));
schirmer@21226
   930
                        val thm' = cterm_instantiate [(PV,P)] thm;
schirmer@21226
   931
                       in SOME  thm' end handle TERM _ => NONE)
schirmer@21226
   932
                else NONE) 
schirmer@21226
   933
       | _ => NONE))
schirmer@21226
   934
end
schirmer@14255
   935
wenzelm@18858
   936
fun prove_split_simp thy ss T prop =
wenzelm@17261
   937
  let
wenzelm@18858
   938
    val {sel_upd={simpset,...},extsplit,...} = RecordsData.get thy;
wenzelm@17261
   939
    val extsplits =
wenzelm@17412
   940
            Library.foldl (fn (thms,(n,_)) => the_list (Symtab.lookup extsplit n) @ thms)
schirmer@15015
   941
                    ([],dest_recTs T);
wenzelm@18858
   942
    val thms = (case get_splits thy (rec_id (~1) T) of
wenzelm@17261
   943
                   SOME (all_thm,_,_,_) =>
schirmer@15203
   944
                     all_thm::(case extsplits of [thm] => [] | _ => extsplits)
schirmer@15203
   945
                              (* [thm] is the same as all_thm *)
wenzelm@17261
   946
                 | NONE => extsplits)
schirmer@21226
   947
    val thms'=K_comp_convs@thms;
schirmer@21226
   948
    val ss' = (Simplifier.inherit_context ss simpset 
schirmer@21226
   949
                addsimps thms'
schirmer@21226
   950
                addsimprocs [record_split_f_more_simproc]);
wenzelm@16973
   951
  in
schirmer@21226
   952
    quick_and_dirty_prove true thy [] prop (fn _ => simp_tac ss' 1)
schirmer@15203
   953
  end;
schirmer@15015
   954
schirmer@15215
   955
schirmer@15059
   956
local
schirmer@16822
   957
fun eq (s1:string) (s2:string) = (s1 = s2);
schirmer@16822
   958
fun has_field extfields f T =
wenzelm@18931
   959
     exists (fn (eN,_) => exists (eq f o fst) (Symtab.lookup_list extfields eN))
schirmer@16822
   960
       (dest_recTs T);
schirmer@15059
   961
in
schirmer@14255
   962
(* record_simproc *)
schirmer@14255
   963
(* Simplifies selections of an record update:
schirmer@21226
   964
 *  (1)  S (S_update k r) = k (S r)
schirmer@21226
   965
 *  (2)  S (X_update k r) = S r
schirmer@14255
   966
 * The simproc skips multiple updates at once, eg:
schirmer@21226
   967
 *  S (X_update x (Y_update y (S_update k r))) = k (S r)
schirmer@14255
   968
 * But be careful in (2) because of the extendibility of records.
schirmer@14255
   969
 * - If S is a more-selector we have to make sure that the update on component
schirmer@14255
   970
 *   X does not affect the selected subrecord.
schirmer@14255
   971
 * - If X is a more-selector we have to make sure that S is not in the updated
wenzelm@17261
   972
 *   subrecord.
schirmer@14255
   973
 *)
wenzelm@13462
   974
val record_simproc =
wenzelm@17616
   975
  Simplifier.simproc HOL.thy "record_simp" ["x"]
wenzelm@18858
   976
    (fn thy => fn ss => fn t =>
schirmer@16872
   977
      (case t of (sel as Const (s, Type (_,[domS,rangeS])))$
schirmer@16872
   978
                   ((upd as Const (u,Type(_,[_,Type (_,[rT,_])]))) $ k $ r)=>
wenzelm@18858
   979
        if is_selector thy s then
wenzelm@18858
   980
          (case get_updates thy u of SOME u_name =>
wenzelm@13462
   981
            let
wenzelm@18858
   982
              val {sel_upd={updates,...},extfields,...} = RecordsData.get thy;
wenzelm@17261
   983
schirmer@16872
   984
              fun mk_eq_terms ((upd as Const (u,Type(_,[kT,_]))) $ k $ r) =
wenzelm@17412
   985
                  (case Symtab.lookup updates u of
skalberg@15531
   986
                     NONE => NONE
wenzelm@17261
   987
                   | SOME u_name
schirmer@14255
   988
                     => if u_name = s
schirmer@21226
   989
                        then (case mk_eq_terms r of 
schirmer@21226
   990
                               NONE => 
schirmer@21226
   991
                                 let
schirmer@21226
   992
                                   val rv = ("r",rT)
schirmer@21226
   993
                                   val rb = Bound 0
schirmer@21226
   994
                                   val kv = ("k",kT)
schirmer@21226
   995
                                   val kb = Bound 1
schirmer@21226
   996
                                  in SOME (upd$kb$rb,kb$(sel$rb),[kv,rv]) end
schirmer@21226
   997
                              | SOME (trm,trm',vars) =>
schirmer@21226
   998
                                 let
schirmer@21226
   999
                                   val kv = ("k",kT)
schirmer@21226
  1000
                                   val kb = Bound (length vars)
schirmer@21226
  1001
                                 in SOME (upd$kb$trm,kb$trm',kv::vars) end)
schirmer@16822
  1002
                        else if has_field extfields u_name rangeS
schirmer@21226
  1003
                             orelse has_field extfields s (domain_type kT)
skalberg@15531
  1004
                             then NONE
wenzelm@17261
  1005
                             else (case mk_eq_terms r of
schirmer@21226
  1006
                                     SOME (trm,trm',vars)
wenzelm@17261
  1007
                                     => let
wenzelm@17261
  1008
                                          val kv = ("k",kT)
schirmer@14255
  1009
                                          val kb = Bound (length vars)
schirmer@21226
  1010
                                        in SOME (upd$kb$trm,trm',kv::vars) end
skalberg@15531
  1011
                                   | NONE
wenzelm@17261
  1012
                                     => let
wenzelm@17261
  1013
                                          val rv = ("r",rT)
schirmer@14255
  1014
                                          val rb = Bound 0
schirmer@16872
  1015
                                          val kv = ("k",kT)
wenzelm@17261
  1016
                                          val kb = Bound 1
schirmer@21226
  1017
                                        in SOME (upd$kb$rb,sel$rb,[kv,rv]) end))
wenzelm@17261
  1018
                | mk_eq_terms r = NONE
wenzelm@13462
  1019
            in
wenzelm@17261
  1020
              (case mk_eq_terms (upd$k$r) of
schirmer@21226
  1021
                 SOME (trm,trm',vars)
schirmer@21226
  1022
                 => SOME (prove_split_simp thy ss domS
schirmer@16872
  1023
                                 (list_all(vars,(equals rangeS$(sel$trm)$trm'))))
skalberg@15531
  1024
               | NONE => NONE)
wenzelm@13462
  1025
            end
skalberg@15531
  1026
          | NONE => NONE)
wenzelm@17510
  1027
        else NONE
skalberg@15531
  1028
      | _ => NONE));
wenzelm@7178
  1029
wenzelm@17261
  1030
(* record_upd_simproc *)
schirmer@15015
  1031
(* simplify multiple updates:
schirmer@21226
  1032
 *  (1)  "N_update y (M_update g (N_update x (M_update f r))) =
schirmer@21226
  1033
          (N_update (y o x) (M_update (g o f) r))"
schirmer@15015
  1034
 *  (2)  "r(|M:= M r|) = r"
schirmer@15015
  1035
 * For (2) special care of "more" updates has to be taken:
schirmer@15015
  1036
 *    r(|more := m; A := A r|)
schirmer@15015
  1037
 * If A is contained in the fields of m we cannot remove the update A := A r!
wenzelm@17261
  1038
 * (But r(|more := r; A := A (r(|more := r|))|) = r(|more := r|)
schirmer@15015
  1039
*)
schirmer@15015
  1040
val record_upd_simproc =
wenzelm@17616
  1041
  Simplifier.simproc HOL.thy "record_upd_simp" ["x"]
wenzelm@18858
  1042
    (fn thy => fn ss => fn t =>
schirmer@16872
  1043
      (case t of ((upd as Const (u, Type(_,[_,Type(_,[rT,_])]))) $ k $ r) =>
wenzelm@17261
  1044
         let datatype ('a,'b) calc = Init of 'b | Inter of 'a
wenzelm@18858
  1045
             val {sel_upd={selectors,updates,...},extfields,...} = RecordsData.get thy;
wenzelm@17261
  1046
wenzelm@17261
  1047
             (*fun mk_abs_var x t = (x, fastype_of t);*)
schirmer@15015
  1048
             fun sel_name u = NameSpace.base (unsuffix updateN u);
schirmer@15015
  1049
schirmer@15015
  1050
             fun seed s (upd as Const (more,Type(_,[mT,_]))$ k $ r) =
schirmer@21226
  1051
                  if has_field extfields s (domain_type' mT) then upd else seed s r
schirmer@15015
  1052
               | seed _ r = r;
schirmer@15015
  1053
wenzelm@17261
  1054
             fun grow u uT k kT vars (sprout,skeleton) =
wenzelm@17261
  1055
                   if sel_name u = moreN
schirmer@16872
  1056
                   then let val kv = ("k", kT);
schirmer@15015
  1057
                            val kb = Bound (length vars);
schirmer@15015
  1058
                        in ((Const (u,uT)$k$sprout,Const (u,uT)$kb$skeleton),kv::vars) end
schirmer@15015
  1059
                   else ((sprout,skeleton),vars);
schirmer@15015
  1060
schirmer@21226
  1061
             fun is_upd_same (sprout,skeleton) u 
schirmer@21226
  1062
                                ((K_rec as Const ("Record.K_record",_))$
schirmer@21226
  1063
                                  ((sel as Const (s,_))$r)) =
wenzelm@17261
  1064
                   if (unsuffix updateN u) = s andalso (seed s sprout) = r
schirmer@21226
  1065
                   then SOME (K_rec,sel,seed s skeleton)
skalberg@15531
  1066
                   else NONE
skalberg@15531
  1067
               | is_upd_same _ _ _ = NONE
wenzelm@17261
  1068
schirmer@16872
  1069
             fun init_seed r = ((r,Bound 0), [("r", rT)]);
wenzelm@17261
  1070
schirmer@21226
  1071
             fun add (n:string) f fmaps = 
schirmer@21226
  1072
               (case AList.lookup (op =) fmaps n of
schirmer@21226
  1073
                  NONE => AList.update (op =) (n,[f]) fmaps
schirmer@21226
  1074
                | SOME fs => AList.update (op =) (n,f::fs) fmaps) 
schirmer@21226
  1075
schirmer@21226
  1076
             fun comps (n:string) T fmaps = 
schirmer@21226
  1077
               (case AList.lookup (op =) fmaps n of
schirmer@21226
  1078
                 SOME fs => 
schirmer@21226
  1079
                   foldr1 (fn (f,g) => Const ("Fun.comp",(T-->T)-->(T-->T)-->(T-->T))$f$g) fs
schirmer@21226
  1080
                | NONE => error ("record_upd_simproc.comps"))
schirmer@21226
  1081
             
schirmer@15015
  1082
             (* mk_updterm returns either
schirmer@15015
  1083
              *  - Init (orig-term, orig-term-skeleton, vars) if no optimisation can be made,
wenzelm@17261
  1084
              *     where vars are the bound variables in the skeleton
wenzelm@17261
  1085
              *  - Inter (orig-term-skeleton,simplified-term-skeleton,
schirmer@16872
  1086
              *           vars, (term-sprout, skeleton-sprout))
schirmer@15015
  1087
              *     where "All vars. orig-term-skeleton = simplified-term-skeleton" is
schirmer@15015
  1088
              *     the desired simplification rule,
schirmer@15015
  1089
              *     the sprouts accumulate the "more-updates" on the way from the seed
wenzelm@17261
  1090
              *     to the outermost update. It is only relevant to calculate the
wenzelm@17261
  1091
              *     possible simplification for (2)
schirmer@15015
  1092
              * The algorithm first walks down the updates to the seed-record while
schirmer@15015
  1093
              * memorising the updates in the already-table. While walking up the
schirmer@15015
  1094
              * updates again, the optimised term is constructed.
schirmer@15015
  1095
              *)
wenzelm@17261
  1096
             fun mk_updterm upds already
schirmer@16872
  1097
                 (t as ((upd as Const (u,uT as (Type (_,[kT,_])))) $ k $ r)) =
wenzelm@17261
  1098
                 if Symtab.defined upds u
wenzelm@17261
  1099
                 then let
wenzelm@17261
  1100
                         fun rest already = mk_updterm upds already
wenzelm@17261
  1101
                      in if u mem_string already
wenzelm@17261
  1102
                         then (case (rest already r) of
wenzelm@17261
  1103
                                 Init ((sprout,skel),vars) =>
schirmer@15015
  1104
                                 let
schirmer@21226
  1105
                                   val n = sel_name u;
schirmer@21226
  1106
                                   val kv = (n, kT);
schirmer@15015
  1107
                                   val kb = Bound (length vars);
schirmer@16872
  1108
                                   val (sprout',vars')= grow u uT k kT (kv::vars) (sprout,skel);
schirmer@21226
  1109
                                 in Inter (upd$kb$skel,skel,vars',add n kb [],sprout') end
schirmer@21226
  1110
                               | Inter (trm,trm',vars,fmaps,sprout) =>
wenzelm@17261
  1111
                                 let
schirmer@21226
  1112
                                   val n = sel_name u;
schirmer@21226
  1113
                                   val kv = (n, kT);
schirmer@15015
  1114
                                   val kb = Bound (length vars);
schirmer@16872
  1115
                                   val (sprout',vars') = grow u uT k kT (kv::vars) sprout;
schirmer@21226
  1116
                                 in Inter(upd$kb$trm,trm',kv::vars',add n kb fmaps,sprout') 
schirmer@21226
  1117
                                 end)
wenzelm@17261
  1118
                         else
wenzelm@17261
  1119
                          (case rest (u::already) r of
wenzelm@17261
  1120
                             Init ((sprout,skel),vars) =>
schirmer@15015
  1121
                              (case is_upd_same (sprout,skel) u k of
schirmer@21226
  1122
                                 SOME (K_rec,sel,skel') =>
schirmer@15015
  1123
                                 let
wenzelm@17261
  1124
                                   val (sprout',vars') = grow u uT k kT vars (sprout,skel);
schirmer@21226
  1125
                                  in Inter(upd$(K_rec$(sel$skel'))$skel,skel,vars',[],sprout')
schirmer@21226
  1126
                                  end
wenzelm@17261
  1127
                               | NONE =>
schirmer@15015
  1128
                                 let
wenzelm@17261
  1129
                                   val kv = (sel_name u, kT);
schirmer@15015
  1130
                                   val kb = Bound (length vars);
schirmer@15015
  1131
                                 in Init ((upd$k$sprout,upd$kb$skel),kv::vars) end)
schirmer@21226
  1132
                           | Inter (trm,trm',vars,fmaps,sprout) =>
schirmer@15015
  1133
                               (case is_upd_same sprout u k of
schirmer@21226
  1134
                                  SOME (K_rec,sel,skel) =>
schirmer@15015
  1135
                                  let
schirmer@16872
  1136
                                    val (sprout',vars') = grow u uT k kT vars sprout
schirmer@21226
  1137
                                  in Inter(upd$(K_rec$(sel$skel))$trm,trm',vars',fmaps,sprout')
schirmer@21226
  1138
                                  end
skalberg@15531
  1139
                                | NONE =>
schirmer@15015
  1140
                                  let
schirmer@21226
  1141
                                    val n = sel_name u
schirmer@21226
  1142
                                    val T = domain_type kT
schirmer@21226
  1143
                                    val kv = (n, kT)
schirmer@15015
  1144
                                    val kb = Bound (length vars)
schirmer@16872
  1145
                                    val (sprout',vars') = grow u uT k kT (kv::vars) sprout
schirmer@21226
  1146
                                    val fmaps' = add n kb fmaps 
schirmer@21226
  1147
                                  in Inter (upd$kb$trm,upd$comps n T fmaps'$trm'
schirmer@21226
  1148
                                           ,vars',fmaps',sprout') end))
schirmer@21226
  1149
                     end
wenzelm@17261
  1150
                 else Init (init_seed t)
wenzelm@17261
  1151
               | mk_updterm _ _ t = Init (init_seed t);
schirmer@15015
  1152
wenzelm@17261
  1153
         in (case mk_updterm updates [] t of
schirmer@21226
  1154
               Inter (trm,trm',vars,_,_)
wenzelm@18858
  1155
                => SOME (prove_split_simp thy ss rT
schirmer@16872
  1156
                          (list_all(vars,(equals rT$trm$trm'))))
skalberg@15531
  1157
             | _ => NONE)
schirmer@21226
  1158
         end 
schirmer@21226
  1159
       | _ => NONE))
schirmer@15059
  1160
end
schirmer@15015
  1161
schirmer@14255
  1162
(* record_eq_simproc *)
schirmer@14255
  1163
(* looks up the most specific record-equality.
schirmer@14255
  1164
 * Note on efficiency:
schirmer@14255
  1165
 * Testing equality of records boils down to the test of equality of all components.
schirmer@14255
  1166
 * Therefore the complexity is: #components * complexity for single component.
schirmer@14255
  1167
 * Especially if a record has a lot of components it may be better to split up
schirmer@14255
  1168
 * the record first and do simplification on that (record_split_simp_tac).
schirmer@14255
  1169
 * e.g. r(|lots of updates|) = x
schirmer@14255
  1170
 *
schirmer@14700
  1171
 *               record_eq_simproc       record_split_simp_tac
wenzelm@17261
  1172
 * Complexity: #components * #updates     #updates
wenzelm@17261
  1173
 *
schirmer@14255
  1174
 *)
berghofe@14079
  1175
val record_eq_simproc =
wenzelm@17510
  1176
  Simplifier.simproc HOL.thy "record_eq_simp" ["r = s"]
wenzelm@18858
  1177
    (fn thy => fn _ => fn t =>
berghofe@14079
  1178
      (case t of Const ("op =", Type (_, [T, _])) $ _ $ _ =>
schirmer@15273
  1179
        (case rec_id (~1) T of
skalberg@15531
  1180
           "" => NONE
wenzelm@18858
  1181
         | name => (case get_equalities thy name of
skalberg@15531
  1182
                                NONE => NONE
skalberg@15531
  1183
                              | SOME thm => SOME (thm RS Eq_TrueI)))
skalberg@15531
  1184
       | _ => NONE));
berghofe@14079
  1185
schirmer@14255
  1186
(* record_split_simproc *)
wenzelm@17261
  1187
(* splits quantified occurrences of records, for which P holds. P can peek on the
schirmer@14255
  1188
 * subterm starting at the quantified occurrence of the record (including the quantifier)
schirmer@15273
  1189
 * P t = 0: do not split
schirmer@15273
  1190
 * P t = ~1: completely split
schirmer@15273
  1191
 * P t > 0: split up to given bound of record extensions
schirmer@14255
  1192
 *)
schirmer@14255
  1193
fun record_split_simproc P =
wenzelm@17616
  1194
  Simplifier.simproc HOL.thy "record_split_simp" ["x"]
wenzelm@18858
  1195
    (fn thy => fn _ => fn t =>
schirmer@14255
  1196
      (case t of (Const (quantifier, Type (_, [Type (_, [T, _]), _])))$trm =>
schirmer@14255
  1197
         if quantifier = "All" orelse quantifier = "all" orelse quantifier = "Ex"
schirmer@15273
  1198
         then (case rec_id (~1) T of
skalberg@15531
  1199
                 "" => NONE
schirmer@14700
  1200
               | name
wenzelm@17261
  1201
                  => let val split = P t
wenzelm@17261
  1202
                     in if split <> 0 then
wenzelm@18858
  1203
                        (case get_splits thy (rec_id split T) of
skalberg@15531
  1204
                              NONE => NONE
wenzelm@17261
  1205
                            | SOME (all_thm, All_thm, Ex_thm,_)
skalberg@15531
  1206
                               => SOME (case quantifier of
schirmer@15273
  1207
                                          "all" => all_thm
schirmer@15273
  1208
                                        | "All" => All_thm RS HOL.eq_reflection
schirmer@15273
  1209
                                        | "Ex"  => Ex_thm RS HOL.eq_reflection
schirmer@15273
  1210
                                        | _     => error "record_split_simproc"))
skalberg@15531
  1211
                        else NONE
schirmer@15273
  1212
                      end)
skalberg@15531
  1213
         else NONE
skalberg@15531
  1214
       | _ => NONE))
wenzelm@7178
  1215
schirmer@14427
  1216
val record_ex_sel_eq_simproc =
wenzelm@17510
  1217
  Simplifier.simproc HOL.thy "record_ex_sel_eq_simproc" ["Ex t"]
wenzelm@18858
  1218
    (fn thy => fn ss => fn t =>
wenzelm@17261
  1219
       let
wenzelm@16973
  1220
         fun prove prop =
wenzelm@18858
  1221
           quick_and_dirty_prove true thy [] prop
wenzelm@18858
  1222
             (fn _ => simp_tac (Simplifier.inherit_context ss (get_simpset thy)
wenzelm@16973
  1223
               addsimps simp_thms addsimprocs [record_split_simproc (K ~1)]) 1);
schirmer@14959
  1224
schirmer@14959
  1225
         fun mkeq (lr,Teq,(sel,Tsel),x) i =
wenzelm@18858
  1226
              if is_selector thy sel then
wenzelm@17261
  1227
                 let val x' = if not (loose_bvar1 (x,0))
wenzelm@17261
  1228
                              then Free ("x" ^ string_of_int i, range_type Tsel)
schirmer@14959
  1229
                              else raise TERM ("",[x]);
schirmer@14959
  1230
                     val sel' = Const (sel,Tsel)$Bound 0;
schirmer@14959
  1231
                     val (l,r) = if lr then (sel',x') else (x',sel');
schirmer@14959
  1232
                  in Const ("op =",Teq)$l$r end
wenzelm@17510
  1233
              else raise TERM ("",[Const (sel,Tsel)]);
schirmer@14959
  1234
wenzelm@17261
  1235
         fun dest_sel_eq (Const ("op =",Teq)$(Const (sel,Tsel)$Bound 0)$X) =
schirmer@14959
  1236
                           (true,Teq,(sel,Tsel),X)
schirmer@14959
  1237
           | dest_sel_eq (Const ("op =",Teq)$X$(Const (sel,Tsel)$Bound 0)) =
schirmer@14959
  1238
                           (false,Teq,(sel,Tsel),X)
schirmer@14959
  1239
           | dest_sel_eq _ = raise TERM ("",[]);
schirmer@14959
  1240
wenzelm@17261
  1241
       in
wenzelm@17261
  1242
         (case t of
schirmer@14959
  1243
           (Const ("Ex",Tex)$Abs(s,T,t)) =>
schirmer@16872
  1244
             (let val eq = mkeq (dest_sel_eq t) 0;
schirmer@14959
  1245
                 val prop = list_all ([("r",T)],
schirmer@14959
  1246
                              Logic.mk_equals (Const ("Ex",Tex)$Abs(s,T,eq),
schirmer@14959
  1247
                                               HOLogic.true_const));
skalberg@15531
  1248
             in SOME (prove prop) end
schirmer@16872
  1249
             handle TERM _ => NONE)
wenzelm@17261
  1250
          | _ => NONE)
schirmer@14427
  1251
         end)
schirmer@14427
  1252
wenzelm@5698
  1253
wenzelm@17261
  1254
wenzelm@6358
  1255
schirmer@14255
  1256
local
schirmer@14255
  1257
val inductive_atomize = thms "induct_atomize";
wenzelm@18464
  1258
val inductive_rulify = thms "induct_rulify";
schirmer@14255
  1259
in
schirmer@14255
  1260
(* record_split_simp_tac *)
wenzelm@17261
  1261
(* splits (and simplifies) all records in the goal for which P holds.
schirmer@14255
  1262
 * For quantified occurrences of a record
schirmer@14255
  1263
 * P can peek on the whole subterm (including the quantifier); for free variables P
schirmer@15273
  1264
 * can only peek on the variable itself.
schirmer@15273
  1265
 * P t = 0: do not split
schirmer@15273
  1266
 * P t = ~1: completely split
wenzelm@17261
  1267
 * P t > 0: split up to given bound of record extensions
schirmer@14255
  1268
 *)
schirmer@15248
  1269
fun record_split_simp_tac thms P i st =
schirmer@14255
  1270
  let
wenzelm@18858
  1271
    val thy = Thm.theory_of_thm st;
schirmer@14255
  1272
schirmer@14700
  1273
    val has_rec = exists_Const
schirmer@14255
  1274
      (fn (s, Type (_, [Type (_, [T, _]), _])) =>
wenzelm@17261
  1275
          (s = "all" orelse s = "All" orelse s = "Ex") andalso is_recT T
schirmer@14255
  1276
        | _ => false);
schirmer@14255
  1277
haftmann@18011
  1278
    val goal = nth (Thm.prems_of st) (i - 1);
skalberg@15570
  1279
    val frees = List.filter (is_recT o type_of) (term_frees goal);
schirmer@14255
  1280
wenzelm@17261
  1281
    fun mk_split_free_tac free induct_thm i =
wenzelm@18858
  1282
        let val cfree = cterm_of thy free;
schirmer@14255
  1283
            val (_$(_$r)) = concl_of induct_thm;
wenzelm@18858
  1284
            val crec = cterm_of thy r;
schirmer@14255
  1285
            val thm  = cterm_instantiate [(crec,cfree)] induct_thm;
schirmer@14255
  1286
        in EVERY [simp_tac (HOL_basic_ss addsimps inductive_atomize) i,
schirmer@14255
  1287
                  rtac thm i,
wenzelm@18464
  1288
                  simp_tac (HOL_basic_ss addsimps inductive_rulify) i]
wenzelm@17261
  1289
        end;
schirmer@14255
  1290
wenzelm@17261
  1291
    fun split_free_tac P i (free as Free (n,T)) =
wenzelm@17261
  1292
        (case rec_id (~1) T of
skalberg@15531
  1293
           "" => NONE
wenzelm@17261
  1294
         | name => let val split = P free
wenzelm@17261
  1295
                   in if split <> 0 then
wenzelm@18858
  1296
                      (case get_splits thy (rec_id split T) of
skalberg@15531
  1297
                             NONE => NONE
skalberg@15531
  1298
                           | SOME (_,_,_,induct_thm)
skalberg@15531
  1299
                               => SOME (mk_split_free_tac free induct_thm i))
skalberg@15531
  1300
                      else NONE
schirmer@15273
  1301
                   end)
skalberg@15531
  1302
     | split_free_tac _ _ _ = NONE;
schirmer@14255
  1303
skalberg@15570
  1304
    val split_frees_tacs = List.mapPartial (split_free_tac P i) frees;
wenzelm@17261
  1305
schirmer@14700
  1306
    val simprocs = if has_rec goal then [record_split_simproc P] else [];
schirmer@21226
  1307
    val thms' = K_comp_convs@thms
wenzelm@17261
  1308
  in st |> ((EVERY split_frees_tacs)
schirmer@21226
  1309
           THEN (Simplifier.full_simp_tac (get_simpset thy addsimps thms' addsimprocs simprocs) i))
skalberg@15570
  1310
  end handle Empty => Seq.empty;
schirmer@14255
  1311
end;
schirmer@14255
  1312
schirmer@14700
  1313
schirmer@14700
  1314
(* record_split_tac *)
schirmer@14700
  1315
(* splits all records in the goal, which are quantified by ! or !!. *)
schirmer@14700
  1316
fun record_split_tac i st =
schirmer@14700
  1317
  let
wenzelm@18858
  1318
    val thy = Thm.theory_of_thm st;
schirmer@14700
  1319
schirmer@14700
  1320
    val has_rec = exists_Const
schirmer@14700
  1321
      (fn (s, Type (_, [Type (_, [T, _]), _])) =>
wenzelm@17261
  1322
          (s = "all" orelse s = "All") andalso is_recT T
schirmer@14700
  1323
        | _ => false);
wenzelm@17261
  1324
haftmann@18011
  1325
    val goal = nth (Thm.prems_of st) (i - 1);
schirmer@14700
  1326
schirmer@14700
  1327
    fun is_all t =
schirmer@14700
  1328
      (case t of (Const (quantifier, _)$_) =>
schirmer@15273
  1329
         if quantifier = "All" orelse quantifier = "all" then ~1 else 0
schirmer@15273
  1330
       | _ => 0);
wenzelm@17261
  1331
wenzelm@17261
  1332
  in if has_rec goal
wenzelm@17261
  1333
     then Simplifier.full_simp_tac
wenzelm@17261
  1334
           (HOL_basic_ss addsimprocs [record_split_simproc is_all]) i st
schirmer@14700
  1335
     else Seq.empty
skalberg@15570
  1336
  end handle Subscript => Seq.empty;
schirmer@14700
  1337
wenzelm@6358
  1338
(* wrapper *)
wenzelm@6358
  1339
wenzelm@5707
  1340
val record_split_name = "record_split_tac";
wenzelm@5707
  1341
val record_split_wrapper = (record_split_name, fn tac => record_split_tac ORELSE' tac);
wenzelm@5698
  1342
wenzelm@16330
  1343
wenzelm@16330
  1344
wenzelm@4867
  1345
(** theory extender interface **)
wenzelm@4867
  1346
wenzelm@4867
  1347
(* prepare arguments *)
wenzelm@4867
  1348
wenzelm@4867
  1349
fun read_raw_parent sign s =
wenzelm@16330
  1350
  (case Sign.read_typ_abbrev (sign, K NONE) s handle TYPE (msg, _, _) => error msg of
wenzelm@4867
  1351
    Type (name, Ts) => (Ts, name)
wenzelm@4867
  1352
  | _ => error ("Bad parent record specification: " ^ quote s));
wenzelm@4867
  1353
wenzelm@4867
  1354
fun read_typ sign (env, s) =
wenzelm@4867
  1355
  let
haftmann@17377
  1356
    fun def_sort (x, ~1) = AList.lookup (op =) env x
skalberg@15531
  1357
      | def_sort _ = NONE;
wenzelm@5060
  1358
    val T = Type.no_tvars (Sign.read_typ (sign, def_sort) s) handle TYPE (msg, _, _) => error msg;
wenzelm@4867
  1359
  in (Term.add_typ_tfrees (T, env), T) end;
wenzelm@4867
  1360
wenzelm@4867
  1361
fun cert_typ sign (env, raw_T) =
wenzelm@4867
  1362
  let val T = Type.no_tvars (Sign.certify_typ sign raw_T) handle TYPE (msg, _, _) => error msg
wenzelm@4867
  1363
  in (Term.add_typ_tfrees (T, env), T) end;
wenzelm@4867
  1364
schirmer@14700
  1365
(* attributes *)
schirmer@14700
  1366
schirmer@14700
  1367
fun case_names_fields x = RuleCases.case_names ["fields"] x;
wenzelm@18728
  1368
fun induct_type_global name = [case_names_fields, InductAttrib.induct_type name];
wenzelm@18728
  1369
fun cases_type_global name = [case_names_fields, InductAttrib.cases_type name];
schirmer@14700
  1370
schirmer@14700
  1371
(* tactics *)
schirmer@14700
  1372
schirmer@14700
  1373
fun simp_all_tac ss simps = ALLGOALS (Simplifier.asm_full_simp_tac (ss addsimps simps));
schirmer@14700
  1374
wenzelm@17261
  1375
(* do case analysis / induction according to rule on last parameter of ith subgoal
wenzelm@17261
  1376
 * (or on s if there are no parameters);
schirmer@14700
  1377
 * Instatiation of record variable (and predicate) in rule is calculated to
wenzelm@17261
  1378
 * avoid problems with higher order unification.
schirmer@14700
  1379
 *)
schirmer@14700
  1380
schirmer@14700
  1381
fun try_param_tac s rule i st =
schirmer@14700
  1382
  let
wenzelm@17510
  1383
    val cert = cterm_of (Thm.theory_of_thm st);
haftmann@18011
  1384
    val g = nth (prems_of st) (i - 1);
schirmer@14700
  1385
    val params = Logic.strip_params g;
schirmer@14700
  1386
    val concl = HOLogic.dest_Trueprop (Logic.strip_assums_concl g);
wenzelm@18145
  1387
    val rule' = Thm.lift_rule (Thm.cprem_of st i) rule;
schirmer@14700
  1388
    val (P, ys) = strip_comb (HOLogic.dest_Trueprop
schirmer@14700
  1389
      (Logic.strip_assums_concl (prop_of rule')));
schirmer@14700
  1390
    (* ca indicates if rule is a case analysis or induction rule *)
skalberg@15570
  1391
    val (x, ca) = (case rev (Library.drop (length params, ys)) of
schirmer@14700
  1392
        [] => (head_of (fst (HOLogic.dest_eq (HOLogic.dest_Trueprop
schirmer@14700
  1393
          (hd (rev (Logic.strip_assums_hyp (hd (prems_of rule')))))))), true)
schirmer@14700
  1394
      | [x] => (head_of x, false));
schirmer@14700
  1395
    val rule'' = cterm_instantiate (map (pairself cert) (case (rev params) of
haftmann@17377
  1396
        [] => (case AList.lookup (op =) (map dest_Free (term_frees (prop_of st))) s of
skalberg@15531
  1397
          NONE => sys_error "try_param_tac: no such variable"
skalberg@15531
  1398
        | SOME T => [(P, if ca then concl else lambda (Free (s, T)) concl),
schirmer@14700
  1399
            (x, Free (s, T))])
schirmer@14700
  1400
      | (_, T) :: _ => [(P, list_abs (params, if ca then concl
schirmer@14700
  1401
          else incr_boundvars 1 (Abs (s, T, concl)))),
schirmer@14700
  1402
        (x, list_abs (params, Bound 0))])) rule'
schirmer@14700
  1403
  in compose_tac (false, rule'', nprems_of rule) i st end;
schirmer@14700
  1404
schirmer@15215
  1405
schirmer@15215
  1406
(* !!x1 ... xn. ... ==> EX x1 ... xn. P x1 ... xn;
schirmer@15215
  1407
   instantiates x1 ... xn with parameters x1 ... xn *)
schirmer@15215
  1408
fun ex_inst_tac i st =
schirmer@15215
  1409
  let
wenzelm@18858
  1410
    val thy = Thm.theory_of_thm st;
haftmann@18011
  1411
    val g = nth (prems_of st) (i - 1);
schirmer@15215
  1412
    val params = Logic.strip_params g;
wenzelm@18145
  1413
    val exI' = Thm.lift_rule (Thm.cprem_of st i) exI;
schirmer@15215
  1414
    val (_$(_$x)) = Logic.strip_assums_concl (hd (prems_of exI'));
wenzelm@18858
  1415
    val cx = cterm_of thy (fst (strip_comb x));
schirmer@15215
  1416
wenzelm@17261
  1417
  in Seq.single (Library.foldl (fn (st,v) =>
wenzelm@17261
  1418
        Seq.hd
wenzelm@17261
  1419
        (compose_tac (false, cterm_instantiate
wenzelm@18858
  1420
                                [(cx,cterm_of thy (list_abs (params,Bound v)))] exI',1)
schirmer@15215
  1421
                i st)) (st,((length params) - 1) downto 0))
schirmer@15215
  1422
  end;
schirmer@15215
  1423
schirmer@14700
  1424
fun extension_typedef name repT alphas thy =
schirmer@14700
  1425
  let
haftmann@20484
  1426
    fun get_thms thy name =
haftmann@20484
  1427
      let
haftmann@20484
  1428
        val SOME { Abs_induct = abs_induct,
haftmann@20484
  1429
          Abs_inject=abs_inject, Abs_inverse = abs_inverse, ...} = TypedefPackage.get_info thy name;
haftmann@20484
  1430
        val rewrite_rule = Tactic.rewrite_rule [rec_UNIV_I, rec_True_simp];
haftmann@20484
  1431
      in map rewrite_rule [abs_inject, abs_inverse, abs_induct] end;
haftmann@20484
  1432
  in
haftmann@20484
  1433
    thy
haftmann@20484
  1434
    |> TypecopyPackage.add_typecopy (suffix ext_typeN (Sign.base_name name), alphas) repT NONE
haftmann@20484
  1435
    |-> (fn (name, _) => `(fn thy => get_thms thy name))
schirmer@14700
  1436
  end;
schirmer@14700
  1437
wenzelm@17261
  1438
fun mixit convs refls =
schirmer@15215
  1439
  let fun f ((res,lhs,rhs),refl) = ((refl,List.revAppend (lhs,refl::tl rhs))::res,hd rhs::lhs,tl rhs);
skalberg@15570
  1440
  in #1 (Library.foldl f (([],[],convs),refls)) end;
schirmer@15215
  1441
schirmer@21226
  1442
wenzelm@17261
  1443
fun extension_definition full name fields names alphas zeta moreT more vars thy =
wenzelm@17261
  1444
  let
schirmer@14700
  1445
    val base = Sign.base_name;
schirmer@14700
  1446
    val fieldTs = (map snd fields);
schirmer@15215
  1447
    val alphas_zeta = alphas@[zeta];
schirmer@15215
  1448
    val alphas_zetaTs = map (fn n => TFree (n, HOLogic.typeS)) alphas_zeta;
wenzelm@20071
  1449
    val vT = TFree (Name.variant alphas_zeta "'v", HOLogic.typeS);
schirmer@14700
  1450
    val extT_name = suffix ext_typeN name
schirmer@14700
  1451
    val extT = Type (extT_name, alphas_zetaTs);
schirmer@14700
  1452
    val repT = foldr1 HOLogic.mk_prodT (fieldTs@[moreT]);
schirmer@14700
  1453
    val fields_more = fields@[(full moreN,moreT)];
schirmer@15215
  1454
    val fields_moreTs = fieldTs@[moreT];
schirmer@14700
  1455
    val bfields_more = map (apfst base) fields_more;
schirmer@14700
  1456
    val r = Free (rN,extT)
schirmer@14700
  1457
    val len = length fields;
schirmer@14700
  1458
    val idxms = 0 upto len;
schirmer@14700
  1459
schirmer@14700
  1460
    (* prepare declarations and definitions *)
wenzelm@17261
  1461
schirmer@14700
  1462
    (*fields constructor*)
schirmer@15215
  1463
    val ext_decl = (mk_extC (name,extT) fields_moreTs);
wenzelm@17261
  1464
    (*
wenzelm@17261
  1465
    val ext_spec = Const ext_decl :==
wenzelm@17261
  1466
         (foldr (uncurry lambda)
wenzelm@17261
  1467
            (mk_Abs name repT extT $ (foldr1 HOLogic.mk_prod (vars@[more]))) (vars@[more]))
wenzelm@17261
  1468
    *)
wenzelm@17261
  1469
    val ext_spec = list_comb (Const ext_decl,vars@[more]) :==
schirmer@15215
  1470
         (mk_Abs name repT extT $ (foldr1 HOLogic.mk_prod (vars@[more])));
schirmer@15215
  1471
wenzelm@17261
  1472
    fun mk_ext args = list_comb (Const ext_decl, args);
wenzelm@17261
  1473
wenzelm@17261
  1474
    (*destructors*)
schirmer@16379
  1475
    val _ = timing_msg "record extension preparing definitions";
schirmer@14700
  1476
    val dest_decls = map (mk_selC extT o (apfst (suffix ext_dest))) bfields_more;
schirmer@14700
  1477
schirmer@14700
  1478
    fun mk_dest_spec (i, (c,T)) =
schirmer@14700
  1479
      let val snds = (funpow i HOLogic.mk_snd (mk_Rep name repT extT $ r))
schirmer@14700
  1480
      in Const (mk_selC extT (suffix ext_dest c,T))
schirmer@14700
  1481
         :== (lambda r (if i=len then snds else HOLogic.mk_fst snds))
schirmer@14700
  1482
      end;
schirmer@14700
  1483
    val dest_specs =
schirmer@14700
  1484
      ListPair.map mk_dest_spec (idxms, fields_more);
wenzelm@17261
  1485
schirmer@16379
  1486
    (*updates*)
schirmer@15215
  1487
    val upd_decls = map (mk_updC updN extT) bfields_more;
schirmer@15215
  1488
    fun mk_upd_spec (c,T) =
schirmer@15215
  1489
      let
schirmer@21226
  1490
        val args = map (fn (n,nT) => if n=c then Free (base c,T --> T)$
schirmer@21226
  1491
                                                  (mk_sel r (suffix ext_dest n,nT))
wenzelm@17261
  1492
                                     else (mk_sel r (suffix ext_dest n,nT)))
schirmer@15215
  1493
                       fields_more;
schirmer@21226
  1494
      in Const (mk_updC updN extT (c,T))$(Free (base c,T --> T))$r
schirmer@15215
  1495
          :== mk_ext args
schirmer@15215
  1496
      end;
schirmer@15215
  1497
    val upd_specs = map mk_upd_spec fields_more;
wenzelm@17261
  1498
schirmer@14700
  1499
    (* 1st stage: defs_thy *)
schirmer@16379
  1500
    fun mk_defs () =
wenzelm@17261
  1501
      thy
schirmer@14700
  1502
        |> extension_typedef name repT (alphas@[zeta])
haftmann@18377
  1503
        ||> Theory.add_consts_i
schirmer@15215
  1504
              (map Syntax.no_syn ((apfst base ext_decl)::dest_decls@upd_decls))
haftmann@18377
  1505
        ||>> PureThy.add_defs_i false (map Thm.no_attributes (ext_spec::dest_specs))
haftmann@18377
  1506
        ||>> PureThy.add_defs_i false (map Thm.no_attributes upd_specs)
haftmann@18377
  1507
        |> swap
schirmer@16379
  1508
    val (defs_thy, (([abs_inject, abs_inverse, abs_induct],ext_def::dest_defs),upd_defs)) =
schirmer@16379
  1509
        timeit_msg "record extension type/selector/update defs:" mk_defs;
wenzelm@17261
  1510
wenzelm@17261
  1511
schirmer@14700
  1512
    (* prepare propositions *)
schirmer@16379
  1513
    val _ = timing_msg "record extension preparing propositions";
schirmer@14700
  1514
    val vars_more = vars@[more];
schirmer@14700
  1515
    val named_vars_more = (names@[full moreN])~~vars_more;
schirmer@15015
  1516
    val variants = map (fn (Free (x,_))=>x) vars_more;
schirmer@15215
  1517
    val ext = mk_ext vars_more;
schirmer@14700
  1518
    val s     = Free (rN, extT);
schirmer@15215
  1519
    val w     = Free (wN, extT);
wenzelm@20071
  1520
    val P = Free (Name.variant variants "P", extT-->HOLogic.boolT);
wenzelm@20071
  1521
    val C = Free (Name.variant variants "C", HOLogic.boolT);
wenzelm@17261
  1522
schirmer@14700
  1523
    val inject_prop =
schirmer@14700
  1524
      let val vars_more' = map (fn (Free (x,T)) => Free (x ^ "'",T)) vars_more;
wenzelm@17261
  1525
      in All (map dest_Free (vars_more@vars_more'))
wenzelm@17261
  1526
          ((HOLogic.eq_const extT $
wenzelm@17261
  1527
            mk_ext vars_more$mk_ext vars_more')
schirmer@14700
  1528
           ===
schirmer@14700
  1529
           foldr1 HOLogic.mk_conj (map HOLogic.mk_eq (vars_more ~~ vars_more')))
schirmer@14700
  1530
      end;
wenzelm@17261
  1531
schirmer@14700
  1532
    val induct_prop =
schirmer@15012
  1533
      (All (map dest_Free vars_more) (Trueprop (P $ ext)), Trueprop (P $ s));
schirmer@15012
  1534
schirmer@14700
  1535
    val cases_prop =
wenzelm@17261
  1536
      (All (map dest_Free vars_more)
wenzelm@17261
  1537
        (Trueprop (HOLogic.mk_eq (s,ext)) ==> Trueprop C))
schirmer@14700
  1538
      ==> Trueprop C;
schirmer@14700
  1539
wenzelm@17261
  1540
    (*destructors*)
schirmer@14700
  1541
    val dest_conv_props =
schirmer@14700
  1542
       map (fn (c, x as Free (_,T)) => mk_sel ext (suffix ext_dest c,T) === x) named_vars_more;
schirmer@14700
  1543
schirmer@15215
  1544
    (*updates*)
schirmer@15215
  1545
    fun mk_upd_prop (i,(c,T)) =
schirmer@21226
  1546
      let val x' = Free (Name.variant variants (base c ^ "'"),T --> T)
schirmer@21226
  1547
          val args' = nth_map i  (K (x'$nth vars_more i)) vars_more
schirmer@15215
  1548
      in mk_upd updN c x' ext === mk_ext args'  end;
schirmer@15215
  1549
    val upd_conv_props = ListPair.map mk_upd_prop (idxms, fields_more);
schirmer@15215
  1550
schirmer@15015
  1551
    val surjective_prop =
wenzelm@17261
  1552
      let val args =
schirmer@15015
  1553
           map (fn (c, Free (_,T)) => mk_sel s (suffix ext_dest c,T)) named_vars_more;
schirmer@15215
  1554
      in s === mk_ext args end;
schirmer@15015
  1555
schirmer@15015
  1556
    val split_meta_prop =
wenzelm@20071
  1557
      let val P = Free (Name.variant variants "P", extT-->Term.propT) in
wenzelm@17261
  1558
        Logic.mk_equals
schirmer@15015
  1559
         (All [dest_Free s] (P $ s), All (map dest_Free vars_more) (P $ ext))
wenzelm@17261
  1560
      end;
schirmer@15015
  1561
wenzelm@17510
  1562
    fun prove stndrd = quick_and_dirty_prove stndrd defs_thy;
wenzelm@17510
  1563
    val prove_standard = quick_and_dirty_prove true defs_thy;
schirmer@15215
  1564
    fun prove_simp stndrd simps =
schirmer@14700
  1565
      let val tac = simp_all_tac HOL_ss simps
schirmer@15215
  1566
      in fn prop => prove stndrd [] prop (K tac) end;
wenzelm@17261
  1567
schirmer@15215
  1568
    fun inject_prf () = (prove_simp true [ext_def,abs_inject,Pair_eq] inject_prop);
schirmer@15012
  1569
    val inject = timeit_msg "record extension inject proof:" inject_prf;
schirmer@14700
  1570
schirmer@15012
  1571
    fun induct_prf () =
schirmer@15012
  1572
      let val (assm, concl) = induct_prop
wenzelm@20248
  1573
      in prove_standard [assm] concl (fn {prems, ...} =>
wenzelm@17261
  1574
           EVERY [try_param_tac rN abs_induct 1,
schirmer@15012
  1575
                  simp_tac (HOL_ss addsimps [split_paired_all]) 1,
schirmer@15012
  1576
                  resolve_tac (map (rewrite_rule [ext_def]) prems) 1])
schirmer@15012
  1577
      end;
schirmer@15012
  1578
    val induct = timeit_msg "record extension induct proof:" induct_prf;
schirmer@14700
  1579
schirmer@15215
  1580
    fun cases_prf_opt () =
wenzelm@17261
  1581
      let
schirmer@15215
  1582
        val (_$(Pvar$_)) = concl_of induct;
wenzelm@17261
  1583
        val ind = cterm_instantiate
wenzelm@18858
  1584
                    [(cterm_of defs_thy Pvar, cterm_of defs_thy
schirmer@15215
  1585
                            (lambda w (HOLogic.imp$HOLogic.mk_eq(r,w)$C)))]
schirmer@15215
  1586
                    induct;
schirmer@15215
  1587
        in standard (ObjectLogic.rulify (mp OF [ind, refl])) end;
schirmer@15215
  1588
schirmer@15215
  1589
    fun cases_prf_noopt () =
schirmer@15015
  1590
        prove_standard [] cases_prop (fn prems =>
schirmer@14700
  1591
         EVERY [asm_full_simp_tac (HOL_basic_ss addsimps [atomize_all, atomize_imp]) 1,
schirmer@14700
  1592
                try_param_tac rN induct 1,
schirmer@14700
  1593
                rtac impI 1,
schirmer@14700
  1594
                REPEAT (etac allE 1),
schirmer@14700
  1595
                etac mp 1,
schirmer@14700
  1596
                rtac refl 1])
schirmer@15215
  1597
schirmer@15215
  1598
    val cases_prf = quick_and_dirty_prf cases_prf_noopt cases_prf_opt;
schirmer@15012
  1599
    val cases = timeit_msg "record extension cases proof:" cases_prf;
wenzelm@17261
  1600
wenzelm@17261
  1601
    fun dest_convs_prf () = map (prove_simp false
schirmer@15215
  1602
                      ([ext_def,abs_inverse]@Pair_sel_convs@dest_defs)) dest_conv_props;
schirmer@15012
  1603
    val dest_convs = timeit_msg "record extension dest_convs proof:" dest_convs_prf;
schirmer@15215
  1604
    fun dest_convs_standard_prf () = map standard dest_convs;
schirmer@15215
  1605
wenzelm@17261
  1606
    val dest_convs_standard =
wenzelm@17261
  1607
        timeit_msg "record extension dest_convs_standard proof:" dest_convs_standard_prf;
wenzelm@17261
  1608
wenzelm@17261
  1609
    fun upd_convs_prf_noopt () = map (prove_simp true (dest_convs_standard@upd_defs))
schirmer@15215
  1610
                                       upd_conv_props;
schirmer@15215
  1611
    fun upd_convs_prf_opt () =
wenzelm@17261
  1612
      let
schirmer@21226
  1613
wenzelm@17261
  1614
        fun mkrefl (c,T) = Thm.reflexive
schirmer@21226
  1615
                    (cterm_of defs_thy (Free (Name.variant variants (base c ^ "'"),T-->T)));
schirmer@15215
  1616
        val refls = map mkrefl fields_more;
schirmer@21226
  1617
        val dest_convs' = map mk_meta_eq dest_convs;
schirmer@21226
  1618
        val map_eqs = map (uncurry Thm.combination) (refls ~~ dest_convs');
schirmer@21226
  1619
        
wenzelm@18858
  1620
        val constr_refl = Thm.reflexive (cterm_of defs_thy (head_of ext));
wenzelm@17261
  1621
schirmer@15215
  1622
        fun mkthm (udef,(fld_refl,thms)) =
skalberg@15570
  1623
          let val bdyeq = Library.foldl (uncurry Thm.combination) (constr_refl,thms);
schirmer@15215
  1624
               (* (|N=N (|N=N,M=M,K=K,more=more|)
schirmer@15215
  1625
                    M=M (|N=N,M=M,K=K,more=more|)
schirmer@15215
  1626
                    K=K'
schirmer@15215
  1627
                    more = more (|N=N,M=M,K=K,more=more|) =
schirmer@15215
  1628
                  (|N=N,M=M,K=K',more=more|)
schirmer@15215
  1629
                *)
schirmer@15215
  1630
              val (_$(_$v$r)$_) = prop_of udef;
schirmer@21226
  1631
              val (_$(v'$_)$_) = prop_of fld_refl;
wenzelm@17261
  1632
              val udef' = cterm_instantiate
wenzelm@18858
  1633
                            [(cterm_of defs_thy v,cterm_of defs_thy v'),
wenzelm@18858
  1634
                             (cterm_of defs_thy r,cterm_of defs_thy ext)] udef;
wenzelm@17261
  1635
          in  standard (Thm.transitive udef' bdyeq) end;
schirmer@21226
  1636
      in map mkthm (rev upd_defs  ~~ (mixit dest_convs' map_eqs)) end;
wenzelm@17261
  1637
schirmer@15215
  1638
    val upd_convs_prf = quick_and_dirty_prf upd_convs_prf_noopt upd_convs_prf_opt;
schirmer@15215
  1639
wenzelm@17261
  1640
    val upd_convs =
wenzelm@17261
  1641
         timeit_msg "record extension upd_convs proof:" upd_convs_prf;
schirmer@15012
  1642
wenzelm@17261
  1643
    fun surjective_prf () =
schirmer@15015
  1644
      prove_standard [] surjective_prop (fn prems =>
schirmer@15015
  1645
          (EVERY [try_param_tac rN induct 1,
schirmer@15215
  1646
                  simp_tac (HOL_basic_ss addsimps dest_convs_standard) 1]));
schirmer@15015
  1647
    val surjective = timeit_msg "record extension surjective proof:" surjective_prf;
schirmer@15015
  1648
schirmer@15015
  1649
    fun split_meta_prf () =
schirmer@15015
  1650
        prove_standard [] split_meta_prop (fn prems =>
wenzelm@17960
  1651
         EVERY [rtac equal_intr_rule 1, norm_hhf_tac 1,
wenzelm@17960
  1652
                etac meta_allE 1, atac 1,
schirmer@15015
  1653
                rtac (prop_subst OF [surjective]) 1,
wenzelm@17960
  1654
                REPEAT (etac meta_allE 1), atac 1]);
schirmer@15015
  1655
    val split_meta = timeit_msg "record extension split_meta proof:" split_meta_prf;
schirmer@15015
  1656
schirmer@21226
  1657
schirmer@21226
  1658
    val (([inject',induct',cases',surjective',split_meta'], 
schirmer@21226
  1659
          [dest_convs',upd_convs']),
haftmann@18377
  1660
      thm_thy) =
wenzelm@17261
  1661
      defs_thy
wenzelm@17261
  1662
      |> (PureThy.add_thms o map Thm.no_attributes)
schirmer@14700
  1663
           [("ext_inject", inject),
schirmer@14700
  1664
            ("ext_induct", induct),
schirmer@15015
  1665
            ("ext_cases", cases),
schirmer@15015
  1666
            ("ext_surjective", surjective),
schirmer@15015
  1667
            ("ext_split", split_meta)]
haftmann@18377
  1668
      ||>> (PureThy.add_thmss o map Thm.no_attributes)
wenzelm@17261
  1669
              [("dest_convs",dest_convs_standard),("upd_convs",upd_convs)]
schirmer@14700
  1670
schirmer@15215
  1671
  in (thm_thy,extT,induct',inject',dest_convs',split_meta',upd_convs')
schirmer@14700
  1672
  end;
wenzelm@17261
  1673
schirmer@14700
  1674
fun chunks []      []   = []
schirmer@14700
  1675
  | chunks []      xs   = [xs]
skalberg@15570
  1676
  | chunks (l::ls) xs  = Library.take (l,xs)::chunks ls (Library.drop (l,xs));
wenzelm@17261
  1677
schirmer@14700
  1678
fun chop_last [] = error "last: list should not be empty"
schirmer@14700
  1679
  | chop_last [x] = ([],x)
schirmer@14700
  1680
  | chop_last (x::xs) = let val (tl,l) = chop_last xs in (x::tl,l) end;
wenzelm@17261
  1681
schirmer@14700
  1682
fun subst_last s []      = error "subst_last: list should not be empty"
schirmer@14700
  1683
  | subst_last s ([x])   = [s]
schirmer@14700
  1684
  | subst_last s (x::xs) = (x::subst_last s xs);
schirmer@14700
  1685
schirmer@14700
  1686
(* mk_recordT builds up the record type from the current extension tpye extT and a list
wenzelm@17261
  1687
 * of parent extensions, starting with the root of the record hierarchy
wenzelm@17261
  1688
*)
haftmann@21078
  1689
fun mk_recordT extT =
haftmann@21078
  1690
    fold_rev (fn (parent, Ts) => fn T => Type (parent, subst_last T Ts)) extT;
schirmer@14700
  1691
schirmer@15215
  1692
schirmer@15215
  1693
schirmer@15215
  1694
fun obj_to_meta_all thm =
schirmer@15215
  1695
  let
wenzelm@17261
  1696
    fun E thm = case (SOME (spec OF [thm]) handle THM _ => NONE) of
skalberg@15531
  1697
                  SOME thm' => E thm'
skalberg@15531
  1698
                | NONE => thm;
schirmer@15215
  1699
    val th1 = E thm;
schirmer@15215
  1700
    val th2 = Drule.forall_intr_vars th1;
schirmer@15215
  1701
  in th2 end;
schirmer@15215
  1702
schirmer@15215
  1703
fun meta_to_obj_all thm =
schirmer@15215
  1704
  let
schirmer@15215
  1705
    val {sign, prop, ...} = rep_thm thm;
schirmer@15215
  1706
    val params = Logic.strip_params prop;
schirmer@15215
  1707
    val concl = HOLogic.dest_Trueprop (Logic.strip_assums_concl prop);
schirmer@15215
  1708
    val ct = cterm_of sign
schirmer@15215
  1709
      (HOLogic.mk_Trueprop (HOLogic.list_all (params, concl)));
schirmer@15215
  1710
    val thm' = Seq.hd (REPEAT (rtac allI 1) (Thm.trivial ct));
schirmer@15215
  1711
  in
schirmer@15215
  1712
    Thm.implies_elim thm' thm
schirmer@15215
  1713
  end;
schirmer@15215
  1714
schirmer@15215
  1715
schirmer@15215
  1716
schirmer@14700
  1717
(* record_definition *)
wenzelm@17261
  1718
fun record_definition (args, bname) parent (parents: parent_info list) raw_fields thy =
schirmer@14702
  1719
  (* smlnj needs type annotation of parents *)
schirmer@14700
  1720
  let
schirmer@14700
  1721
    val sign = Theory.sign_of thy;
schirmer@14700
  1722
schirmer@14700
  1723
    val alphas = map fst args;
schirmer@14700
  1724
    val name = Sign.full_name sign bname;
schirmer@14700
  1725
    val full = Sign.full_name_path sign bname;
schirmer@14700
  1726
    val base = Sign.base_name;
schirmer@14700
  1727
schirmer@14700
  1728
    val (bfields, field_syntax) = split_list (map (fn (x, T, mx) => ((x, T), mx)) raw_fields);
schirmer@14700
  1729
skalberg@15570
  1730
    val parent_fields = List.concat (map #fields parents);
schirmer@14700
  1731
    val parent_chunks = map (length o #fields) parents;
schirmer@14700
  1732
    val parent_names = map fst parent_fields;
schirmer@14700
  1733
    val parent_types = map snd parent_fields;
schirmer@14700
  1734
    val parent_fields_len = length parent_fields;
wenzelm@20071
  1735
    val parent_variants = Name.variant_list [moreN, rN, rN ^ "'", wN] (map base parent_names);
schirmer@14700
  1736
    val parent_vars = ListPair.map Free (parent_variants, parent_types);
schirmer@14700
  1737
    val parent_len = length parents;
schirmer@14700
  1738
    val parents_idx = (map #name parents) ~~ (0 upto (parent_len - 1));
schirmer@14700
  1739
schirmer@14700
  1740
    val fields = map (apfst full) bfields;
schirmer@14700
  1741
    val names = map fst fields;
schirmer@14700
  1742
    val extN = full bname;
schirmer@14700
  1743
    val types = map snd fields;
skalberg@15574
  1744
    val alphas_fields = foldr add_typ_tfree_names [] types;
wenzelm@17261
  1745
    val alphas_ext = alphas inter alphas_fields;
schirmer@14700
  1746
    val len = length fields;
wenzelm@20071
  1747
    val variants = Name.variant_list (moreN::rN::rN ^ "'"::wN::parent_variants) (map fst bfields);
schirmer@14700
  1748
    val vars = ListPair.map Free (variants, types);
schirmer@14700
  1749
    val named_vars = names ~~ vars;
schirmer@14700
  1750
    val idxs = 0 upto (len - 1);
schirmer@14700
  1751
    val idxms = 0 upto len;
schirmer@14700
  1752
schirmer@14700
  1753
    val all_fields = parent_fields @ fields;
schirmer@14700
  1754
    val all_names = parent_names @ names;
schirmer@14700
  1755
    val all_types = parent_types @ types;
schirmer@14700
  1756
    val all_len = parent_fields_len + len;
schirmer@14700
  1757
    val all_variants = parent_variants @ variants;
schirmer@14700
  1758
    val all_vars = parent_vars @ vars;
schirmer@14700
  1759
    val all_named_vars = (parent_names ~~ parent_vars) @ named_vars;
schirmer@14700
  1760
schirmer@14700
  1761
wenzelm@20071
  1762
    val zeta = Name.variant alphas "'z";
schirmer@14700
  1763
    val moreT = TFree (zeta, HOLogic.typeS);
schirmer@14700
  1764
    val more = Free (moreN, moreT);
schirmer@14700
  1765
    val full_moreN = full moreN;
schirmer@14700
  1766
    val bfields_more = bfields @ [(moreN,moreT)];
schirmer@14700
  1767
    val fields_more = fields @ [(full_moreN,moreT)];
schirmer@14700
  1768
    val vars_more = vars @ [more];
schirmer@14700
  1769
    val named_vars_more = named_vars @[(full_moreN,more)];
schirmer@14700
  1770
    val all_vars_more = all_vars @ [more];
schirmer@14700
  1771
    val all_named_vars_more = all_named_vars @ [(full_moreN,more)];
wenzelm@17261
  1772
schirmer@14700
  1773
    (* 1st stage: extension_thy *)
schirmer@15215
  1774
    val (extension_thy,extT,ext_induct,ext_inject,ext_dest_convs,ext_split,u_convs) =
schirmer@14700
  1775
      thy
schirmer@14700
  1776
      |> Theory.add_path bname
schirmer@14700
  1777
      |> extension_definition full extN fields names alphas_ext zeta moreT more vars;
schirmer@14700
  1778
wenzelm@17261
  1779
    val _ = timing_msg "record preparing definitions";
schirmer@14700
  1780
    val Type extension_scheme = extT;
schirmer@14700
  1781
    val extension_name = unsuffix ext_typeN (fst extension_scheme);
wenzelm@17261
  1782
    val extension = let val (n,Ts) = extension_scheme in (n,subst_last HOLogic.unitT Ts) end;
wenzelm@17261
  1783
    val extension_names =
schirmer@14700
  1784
         (map ((unsuffix ext_typeN) o fst o #extension) parents) @ [extN];
skalberg@15570
  1785
    val extension_id = Library.foldl (op ^) ("",extension_names);
schirmer@14700
  1786
wenzelm@17261
  1787
haftmann@21078
  1788
    fun rec_schemeT n = mk_recordT (map #extension (prune n parents)) extT;
schirmer@14700
  1789
    val rec_schemeT0 = rec_schemeT 0;
schirmer@14700
  1790
wenzelm@17261
  1791
    fun recT n =
schirmer@14700
  1792
      let val (c,Ts) = extension
haftmann@21078
  1793
      in mk_recordT (map #extension (prune n parents)) (Type (c,subst_last HOLogic.unitT Ts))
schirmer@14700
  1794
      end;
schirmer@14700
  1795
    val recT0 = recT 0;
wenzelm@17261
  1796
schirmer@14700
  1797
    fun mk_rec args n =
schirmer@14700
  1798
      let val (args',more) = chop_last args;
wenzelm@17261
  1799
          fun mk_ext' (((name,T),args),more) = mk_ext (name,T) (args@[more]);
wenzelm@17261
  1800
          fun build Ts =
skalberg@15574
  1801
           foldr mk_ext' more (prune n (extension_names ~~ Ts ~~ (chunks parent_chunks args')))
wenzelm@17261
  1802
      in
wenzelm@17261
  1803
        if more = HOLogic.unit
wenzelm@17261
  1804
        then build (map recT (0 upto parent_len))
schirmer@14700
  1805
        else build (map rec_schemeT (0 upto parent_len))
schirmer@14700
  1806
      end;
wenzelm@17261
  1807
schirmer@14700
  1808
    val r_rec0 = mk_rec all_vars_more 0;
schirmer@14700
  1809
    val r_rec_unit0 = mk_rec (all_vars@[HOLogic.unit]) 0;
schirmer@14700
  1810
schirmer@14700
  1811
    fun r n = Free (rN, rec_schemeT n)
schirmer@14700
  1812
    val r0 = r 0;
schirmer@14700
  1813
    fun r_unit n = Free (rN, recT n)
schirmer@14700
  1814
    val r_unit0 = r_unit 0;
schirmer@15215
  1815
    val w = Free (wN, rec_schemeT 0)
schirmer@14700
  1816
schirmer@14700
  1817
    (* prepare print translation functions *)
schirmer@14700
  1818
    val field_tr's =
wenzelm@19046
  1819
      print_translation (distinct (op =)
wenzelm@19046
  1820
        (List.concat (map NameSpace.accesses' (full_moreN :: names))));
schirmer@14700
  1821
schirmer@14700
  1822
    val adv_ext_tr's =
schirmer@14700
  1823
    let
schirmer@14700
  1824
      val trnames = NameSpace.accesses' extN;
schirmer@14700
  1825
    in map (gen_record_tr') trnames end;
schirmer@14700
  1826
schirmer@14700
  1827
    val adv_record_type_abbr_tr's =
schirmer@14700
  1828
      let val trnames = NameSpace.accesses' (hd extension_names);
schirmer@14700
  1829
          val lastExt = (unsuffix ext_typeN (fst extension));
schirmer@17190
  1830
      in map (gen_record_type_abbr_tr' name alphas zeta lastExt rec_schemeT0) trnames
schirmer@14700
  1831
      end;
schirmer@14700
  1832
schirmer@14700
  1833
    val adv_record_type_tr's =
schirmer@14700
  1834
      let val trnames = if parent_len > 0 then NameSpace.accesses' extN else [];
schirmer@14700
  1835
                        (* avoid conflict with adv_record_type_abbr_tr's *)
schirmer@14700
  1836
      in map (gen_record_type_tr') trnames
schirmer@14700
  1837
      end;
schirmer@14700
  1838
wenzelm@17261
  1839
schirmer@14700
  1840
    (* prepare declarations *)
schirmer@14700
  1841
schirmer@14700
  1842
    val sel_decls = map (mk_selC rec_schemeT0) bfields_more;
schirmer@15215
  1843
    val upd_decls = map (mk_updC updateN rec_schemeT0) bfields_more;
schirmer@14700
  1844
    val make_decl = (makeN, all_types ---> recT0);
wenzelm@17261
  1845
    val fields_decl = (fields_selN, types ---> Type extension);
schirmer@14700
  1846
    val extend_decl = (extendN, recT0 --> moreT --> rec_schemeT0);
schirmer@14700
  1847
    val truncate_decl = (truncateN, rec_schemeT0 --> recT0);
schirmer@14700
  1848
schirmer@14700
  1849
    (* prepare definitions *)
wenzelm@17261
  1850
wenzelm@17261
  1851
    fun parent_more s =
wenzelm@17261
  1852
         if null parents then s
wenzelm@16124
  1853
         else mk_sel s (NameSpace.qualified (#name (List.last parents)) moreN, extT);
schirmer@14700
  1854
schirmer@14700
  1855
    fun parent_more_upd v s =
schirmer@21226
  1856
      if null parents then v$s
wenzelm@16124
  1857
      else let val mp = NameSpace.qualified (#name (List.last parents)) moreN;
schirmer@15215
  1858
           in mk_upd updateN mp v s end;
wenzelm@17261
  1859
schirmer@14700
  1860
    (*record (scheme) type abbreviation*)
schirmer@14700
  1861
    val recordT_specs =
schirmer@14700
  1862
      [(suffix schemeN bname, alphas @ [zeta], rec_schemeT0, Syntax.NoSyn),
wenzelm@17261
  1863
        (bname, alphas, recT0, Syntax.NoSyn)];
schirmer@14700
  1864
wenzelm@17261
  1865
    (*selectors*)
wenzelm@17261
  1866
    fun mk_sel_spec (c,T) =
wenzelm@17261
  1867
         Const (mk_selC rec_schemeT0 (c,T))
schirmer@14700
  1868
          :== (lambda r0 (Const (mk_selC extT (suffix ext_dest c,T))$parent_more r0));
schirmer@14700
  1869
    val sel_specs = map mk_sel_spec fields_more;
schirmer@14700
  1870
schirmer@14700
  1871
    (*updates*)
schirmer@15215
  1872
schirmer@14700
  1873
    fun mk_upd_spec (c,T) =
wenzelm@17261
  1874
      let
schirmer@21226
  1875
        val new = mk_upd' updN c (Free (base c,T-->T)) extT(*(parent_more r0)*);
schirmer@21226
  1876
      in Const (mk_updC updateN rec_schemeT0 (c,T))$(Free (base c,T-->T))$r0
schirmer@15215
  1877
          :== (parent_more_upd new r0)
schirmer@14700
  1878
      end;
wenzelm@17261
  1879
    val upd_specs = map mk_upd_spec fields_more;
schirmer@14700
  1880
schirmer@14700
  1881
    (*derived operations*)
schirmer@14700
  1882
    val make_spec = Const (full makeN, all_types ---> recT0) $$ all_vars :==
schirmer@14700
  1883
      mk_rec (all_vars @ [HOLogic.unit]) 0;
schirmer@14700
  1884
    val fields_spec = Const (full fields_selN, types ---> Type extension) $$ vars :==
schirmer@14700
  1885
      mk_rec (all_vars @ [HOLogic.unit]) parent_len;
wenzelm@17261
  1886
    val extend_spec =
schirmer@14700
  1887
      Const (full extendN, recT0-->moreT-->rec_schemeT0) $ r_unit0 $ more :==
schirmer@14700
  1888
      mk_rec ((map (mk_sel r_unit0) all_fields) @ [more]) 0;
schirmer@14700
  1889
    val truncate_spec = Const (full truncateN, rec_schemeT0 --> recT0) $ r0 :==
schirmer@14700
  1890
      mk_rec ((map (mk_sel r0) all_fields) @ [HOLogic.unit]) 0;
schirmer@14700
  1891
schirmer@14700
  1892
    (* 2st stage: defs_thy *)
wenzelm@17261
  1893
schirmer@16379
  1894
    fun mk_defs () =
schirmer@16379
  1895
      extension_thy
wenzelm@17261
  1896
        |> Theory.add_trfuns
schirmer@14700
  1897
            ([],[],field_tr's, [])
wenzelm@17261
  1898
        |> Theory.add_advanced_trfuns
schirmer@14700
  1899
            ([],[],adv_ext_tr's @ adv_record_type_tr's @ adv_record_type_abbr_tr's,[])
schirmer@14700
  1900
        |> Theory.parent_path
schirmer@14700
  1901
        |> Theory.add_tyabbrs_i recordT_specs
schirmer@14700
  1902
        |> Theory.add_path bname
schirmer@14700
  1903
        |> Theory.add_consts_i
haftmann@18330
  1904
            (map2 (fn (x, T) => fn mx => (x, T, mx)) sel_decls (field_syntax @ [Syntax.NoSyn]))
wenzelm@17261
  1905
        |> (Theory.add_consts_i o map Syntax.no_syn)
schirmer@14700
  1906
            (upd_decls @ [make_decl, fields_decl, extend_decl, truncate_decl])
haftmann@18377
  1907
        |> ((PureThy.add_defs_i false o map Thm.no_attributes) sel_specs)
haftmann@18377
  1908
        ||>> ((PureThy.add_defs_i false o map Thm.no_attributes) upd_specs)
haftmann@18377
  1909
        ||>> ((PureThy.add_defs_i false o map Thm.no_attributes)
haftmann@18377
  1910
               [make_spec, fields_spec, extend_spec, truncate_spec])
haftmann@18377
  1911
        |> swap
schirmer@16379
  1912
    val (defs_thy,((sel_defs,upd_defs),derived_defs)) =
schirmer@16379
  1913
        timeit_msg "record trfuns/tyabbrs/selectors/updates/make/fields/extend/truncate defs:"
schirmer@16379
  1914
         mk_defs;
wenzelm@17261
  1915
schirmer@14700
  1916
schirmer@14700
  1917
    (* prepare propositions *)
wenzelm@17261
  1918
    val _ = timing_msg "record preparing propositions";
wenzelm@20071
  1919
    val P = Free (Name.variant all_variants "P", rec_schemeT0-->HOLogic.boolT);
wenzelm@20071
  1920
    val C = Free (Name.variant all_variants "C", HOLogic.boolT);
wenzelm@20071
  1921
    val P_unit = Free (Name.variant all_variants "P", recT0-->HOLogic.boolT);
schirmer@14700
  1922
wenzelm@17261
  1923
    (*selectors*)
schirmer@14700
  1924
    val sel_conv_props =
schirmer@14700
  1925
       map (fn (c, x as Free (_,T)) => mk_sel r_rec0 (c,T) === x) named_vars_more;
schirmer@14700
  1926
wenzelm@17261
  1927
    (*updates*)
schirmer@14700
  1928
    fun mk_upd_prop (i,(c,T)) =
schirmer@21226
  1929
      let val x' = Free (Name.variant all_variants (base c ^ "'"),T-->T);
schirmer@21226
  1930
          val n = parent_fields_len + i;
schirmer@21226
  1931
          val args' = nth_map n (K (x'$nth all_vars_more n)) all_vars_more
schirmer@15215
  1932
      in mk_upd updateN c x' r_rec0 === mk_rec args' 0  end;
schirmer@14700
  1933
    val upd_conv_props = ListPair.map mk_upd_prop (idxms, fields_more);
schirmer@14700
  1934
schirmer@14700
  1935
    (*induct*)
schirmer@14700
  1936
    val induct_scheme_prop =
schirmer@14700
  1937
      All (map dest_Free all_vars_more) (Trueprop (P $ r_rec0)) ==> Trueprop (P $ r0);
wenzelm@17261
  1938
    val induct_prop =
schirmer@14700
  1939
      (All (map dest_Free all_vars) (Trueprop (P_unit $ r_rec_unit0)),
schirmer@14700
  1940
       Trueprop (P_unit $ r_unit0));
schirmer@14700
  1941
schirmer@14700
  1942
    (*surjective*)
schirmer@14700
  1943
    val surjective_prop =
schirmer@14700
  1944
      let val args = map (fn (c,Free (_,T)) => mk_sel r0 (c,T)) all_named_vars_more
schirmer@14700
  1945
      in r0 === mk_rec args 0 end;
wenzelm@17261
  1946
schirmer@14700
  1947
    (*cases*)
schirmer@14700
  1948
    val cases_scheme_prop =
wenzelm@17261
  1949
      (All (map dest_Free all_vars_more)
wenzelm@17261
  1950
        (Trueprop (HOLogic.mk_eq (r0,r_rec0)) ==> Trueprop C))
schirmer@14700
  1951
      ==> Trueprop C;
schirmer@14700
  1952
schirmer@14700
  1953
    val cases_prop =
wenzelm@17261
  1954
      (All (map dest_Free all_vars)
wenzelm@17261
  1955
        (Trueprop (HOLogic.mk_eq (r_unit0,r_rec_unit0)) ==> Trueprop C))
schirmer@14700
  1956
       ==> Trueprop C;
schirmer@14700
  1957
schirmer@14700
  1958
    (*split*)
schirmer@14700
  1959
    val split_meta_prop =
wenzelm@20071
  1960
      let val P = Free (Name.variant all_variants "P", rec_schemeT0-->Term.propT) in
wenzelm@17261
  1961
        Logic.mk_equals
schirmer@14700
  1962
         (All [dest_Free r0] (P $ r0), All (map dest_Free all_vars_more) (P $ r_rec0))
wenzelm@17261
  1963
      end;
schirmer@14700
  1964
schirmer@14700
  1965
    val split_object_prop =
skalberg@15574
  1966
      let fun ALL vs t = foldr (fn ((v,T),t) => HOLogic.mk_all (v,T,t)) t vs
schirmer@14700
  1967
      in (ALL [dest_Free r0] (P $ r0)) === (ALL (map dest_Free all_vars_more) (P $ r_rec0))
schirmer@14700
  1968
      end;
schirmer@14700
  1969
schirmer@14700
  1970
schirmer@14700
  1971
    val split_ex_prop =
skalberg@15574
  1972
      let fun EX vs t = foldr (fn ((v,T),t) => HOLogic.mk_exists (v,T,t)) t vs
schirmer@14700
  1973
      in (EX [dest_Free r0] (P $ r0)) === (EX (map dest_Free all_vars_more) (P $ r_rec0))
schirmer@14700
  1974
      end;
schirmer@14700
  1975
schirmer@14700
  1976
    (*equality*)
schirmer@14700
  1977
    val equality_prop =
wenzelm@17261
  1978
      let
wenzelm@17261
  1979
        val s' = Free (rN ^ "'", rec_schemeT0)
wenzelm@17261
  1980
        fun mk_sel_eq (c,Free (_,T)) =  mk_sel r0 (c,T) === mk_sel s' (c,T)
schirmer@14700
  1981
        val seleqs = map mk_sel_eq all_named_vars_more
schirmer@14700
  1982
      in All (map dest_Free [r0,s']) (Logic.list_implies (seleqs,r0 === s')) end;
schirmer@14700
  1983
schirmer@14700
  1984
    (* 3rd stage: thms_thy *)
schirmer@14700
  1985
wenzelm@17510
  1986
    fun prove stndrd = quick_and_dirty_prove stndrd defs_thy;
wenzelm@17510
  1987
    val prove_standard = quick_and_dirty_prove true defs_thy;
wenzelm@17261
  1988
schirmer@15215
  1989
    fun prove_simp stndrd ss simps =
schirmer@14700
  1990
      let val tac = simp_all_tac ss simps
schirmer@15215
  1991
      in fn prop => prove stndrd [] prop (K tac) end;
schirmer@14700
  1992
wenzelm@17510
  1993
    val ss = get_simpset defs_thy;
schirmer@15012
  1994
wenzelm@17261
  1995
    fun sel_convs_prf () = map (prove_simp false ss
schirmer@14700
  1996
                           (sel_defs@ext_dest_convs)) sel_conv_props;
schirmer@15012
  1997
    val sel_convs = timeit_msg "record sel_convs proof:" sel_convs_prf;
schirmer@15215
  1998
    fun sel_convs_standard_prf () = map standard sel_convs
wenzelm@17261
  1999
    val sel_convs_standard =
wenzelm@17261
  2000
          timeit_msg "record sel_convs_standard proof:" sel_convs_standard_prf;
schirmer@14700
  2001
wenzelm@17261
  2002
    fun upd_convs_prf () =
wenzelm@17261
  2003
          map (prove_simp true ss (upd_defs@u_convs)) upd_conv_props;
wenzelm@17261
  2004
schirmer@15012
  2005
    val upd_convs = timeit_msg "record upd_convs proof:" upd_convs_prf;
schirmer@15012
  2006
schirmer@14700
  2007
    val parent_induct = if null parents then [] else [#induct (hd (rev parents))];
schirmer@14700
  2008
schirmer@15015
  2009
    fun induct_scheme_prf () = prove_standard [] induct_scheme_prop (fn prems =>
wenzelm@17261
  2010
          (EVERY [if null parent_induct
schirmer@14700
  2011
                  then all_tac else try_param_tac rN (hd parent_induct) 1,
schirmer@14700
  2012
                  try_param_tac rN ext_induct 1,
schirmer@14700
  2013
                  asm_simp_tac HOL_basic_ss 1]));
schirmer@15012
  2014
    val induct_scheme = timeit_msg "record induct_scheme proof:" induct_scheme_prf;
schirmer@14700
  2015
schirmer@15012
  2016
    fun induct_prf () =
schirmer@14700
  2017
      let val (assm, concl) = induct_prop;
schirmer@14700
  2018
      in
wenzelm@20248
  2019
        prove_standard [assm] concl (fn {prems, ...} =>
schirmer@14700
  2020
          try_param_tac rN induct_scheme 1
schirmer@14700
  2021
          THEN try_param_tac "more" unit_induct 1
schirmer@14700
  2022
          THEN resolve_tac prems 1)
schirmer@14700
  2023
      end;
schirmer@15012
  2024
    val induct = timeit_msg "record induct proof:" induct_prf;
schirmer@14700
  2025
wenzelm@17261
  2026
    fun surjective_prf () =
schirmer@15015
  2027
      prove_standard [] surjective_prop (fn prems =>
schirmer@14700
  2028
          (EVERY [try_param_tac rN induct_scheme 1,
schirmer@15215
  2029
                  simp_tac (ss addsimps sel_convs_standard) 1]))
schirmer@15012
  2030
    val surjective = timeit_msg "record surjective proof:" surjective_prf;
schirmer@15012
  2031
schirmer@15215
  2032
    fun cases_scheme_prf_opt () =
wenzelm@17261
  2033
      let
schirmer@15215
  2034
        val (_$(Pvar$_)) = concl_of induct_scheme;
wenzelm@17261
  2035
        val ind = cterm_instantiate
wenzelm@18858
  2036
                    [(cterm_of defs_thy Pvar, cterm_of defs_thy
schirmer@15215
  2037
                            (lambda w (HOLogic.imp$HOLogic.mk_eq(r0,w)$C)))]
schirmer@15215
  2038
                    induct_scheme;
schirmer@15215
  2039
        in standard (ObjectLogic.rulify (mp OF [ind, refl])) end;
schirmer@15215
  2040
schirmer@15215
  2041
    fun cases_scheme_prf_noopt () =
schirmer@15015
  2042
        prove_standard [] cases_scheme_prop (fn prems =>
schirmer@14700
  2043
         EVERY [asm_full_simp_tac (HOL_basic_ss addsimps [atomize_all, atomize_imp]) 1,
schirmer@14700
  2044
               try_param_tac rN induct_scheme 1,
schirmer@14700
  2045
               rtac impI 1,
schirmer@14700
  2046
               REPEAT (etac allE 1),
schirmer@14700
  2047
               etac mp 1,
schirmer@14700
  2048
               rtac refl 1])
schirmer@15215
  2049
    val cases_scheme_prf = quick_and_dirty_prf cases_scheme_prf_noopt cases_scheme_prf_opt;
schirmer@15012
  2050
    val cases_scheme = timeit_msg "record cases_scheme proof:" cases_scheme_prf;
schirmer@14700
  2051
schirmer@15012
  2052
    fun cases_prf () =
schirmer@15015
  2053
      prove_standard [] cases_prop  (fn _ =>
schirmer@14700
  2054
        try_param_tac rN cases_scheme 1
schirmer@14700
  2055
        THEN simp_all_tac HOL_basic_ss [unit_all_eq1]);
schirmer@15012
  2056
    val cases = timeit_msg "record cases proof:" cases_prf;
schirmer@14700
  2057
schirmer@15012
  2058
    fun split_meta_prf () =
schirmer@15215
  2059
        prove false [] split_meta_prop (fn prems =>
wenzelm@17960
  2060
         EVERY [rtac equal_intr_rule 1, norm_hhf_tac 1,
wenzelm@17960
  2061
                etac meta_allE 1, atac 1,
schirmer@14700
  2062
                rtac (prop_subst OF [surjective]) 1,
wenzelm@17960
  2063
                REPEAT (etac meta_allE 1), atac 1]);
schirmer@15012
  2064
    val split_meta = timeit_msg "record split_meta proof:" split_meta_prf;
schirmer@15215
  2065
    val split_meta_standard = standard split_meta;
schirmer@14700
  2066
schirmer@15215
  2067
    fun split_object_prf_opt () =
wenzelm@17261
  2068
      let
wenzelm@18858
  2069
        val cPI= cterm_of defs_thy (lambda r0 (Trueprop (P$r0)));
schirmer@15215
  2070
        val (_$Abs(_,_,P$_)) = fst (Logic.dest_equals (concl_of split_meta_standard));
wenzelm@18858
  2071
        val cP = cterm_of defs_thy P;
schirmer@15215
  2072
        val split_meta' = cterm_instantiate [(cP,cPI)] split_meta_standard;
schirmer@15215
  2073
        val (l,r) = HOLogic.dest_eq (HOLogic.dest_Trueprop split_object_prop);
wenzelm@18858
  2074
        val cl = cterm_of defs_thy (HOLogic.mk_Trueprop l);
wenzelm@18858
  2075
        val cr = cterm_of defs_thy (HOLogic.mk_Trueprop r);
schirmer@15215
  2076
        val thl = assume cl                 (*All r. P r*) (* 1 *)
schirmer@15215
  2077
                |> obj_to_meta_all          (*!!r. P r*)
wenzelm@17261
  2078
                |> equal_elim split_meta'   (*!!n m more. P (ext n m more)*)
wenzelm@17261
  2079
                |> meta_to_obj_all          (*All n m more. P (ext n m more)*) (* 2*)
schirmer@15215
  2080
                |> implies_intr cl          (* 1 ==> 2 *)
schirmer@15215
  2081
        val thr = assume cr                           (*All n m more. P (ext n m more)*)
schirmer@15215
  2082
                |> obj_to_meta_all                    (*!!n m more. P (ext n m more)*)
wenzelm@17261
  2083
                |> equal_elim (symmetric split_meta') (*!!r. P r*)
schirmer@15215
  2084
                |> meta_to_obj_all                    (*All r. P r*)
schirmer@15215
  2085
                |> implies_intr cr                    (* 2 ==> 1 *)
wenzelm@17261
  2086
     in standard (thr COMP (thl COMP iffI)) end;
schirmer@15215
  2087
schirmer@15215
  2088
    fun split_object_prf_noopt () =
schirmer@15015
  2089
        prove_standard [] split_object_prop (fn prems =>
wenzelm@17261
  2090
         EVERY [rtac iffI 1,
schirmer@14700
  2091
                REPEAT (rtac allI 1), etac allE 1, atac 1,
schirmer@14700
  2092
                rtac allI 1, rtac induct_scheme 1,REPEAT (etac allE 1),atac 1]);
schirmer@15215
  2093
wenzelm@17261
  2094
    val split_object_prf = quick_and_dirty_prf split_object_prf_noopt split_object_prf_opt;
schirmer@15012
  2095
    val split_object = timeit_msg "record split_object proof:" split_object_prf;
schirmer@14700
  2096
schirmer@15012
  2097
wenzelm@17261
  2098
    fun split_ex_prf () =
schirmer@15015
  2099
        prove_standard [] split_ex_prop (fn prems =>
schirmer@15012
  2100
          EVERY [rtac iffI 1,
schirmer@15012
  2101
                   etac exE 1,
schirmer@15215
  2102
                   simp_tac (HOL_basic_ss addsimps [split_meta_standard]) 1,
schirmer@15215
  2103
                   ex_inst_tac 1,
schirmer@15215
  2104
                   (*REPEAT (rtac exI 1),*)
schirmer@15012
  2105
                   atac 1,
schirmer@15012
  2106
                 REPEAT (etac exE 1),
schirmer@15012
  2107
                 rtac exI 1,
schirmer@15012
  2108
                 atac 1]);
schirmer@15012
  2109
    val split_ex = timeit_msg "record split_ex proof:" split_ex_prf;
schirmer@14700
  2110
wenzelm@17261
  2111
    fun equality_tac thms =
schirmer@15012
  2112
      let val (s'::s::eqs) = rev thms;
schirmer@15215
  2113
          val ss' = ss addsimps (s'::s::sel_convs_standard);
schirmer@15012
  2114
          val eqs' = map (simplify ss') eqs;
schirmer@15012
  2115
      in simp_tac (HOL_basic_ss addsimps (s'::s::eqs')) 1 end;
wenzelm@17261
  2116
schirmer@15015
  2117
   fun equality_prf () = prove_standard [] equality_prop (fn _ =>
schirmer@14700
  2118
      fn st => let val [s, s'] = map #1 (rev (Tactic.innermost_params 1 st)) in
schirmer@14700
  2119
        st |> (res_inst_tac [(rN, s)] cases_scheme 1
schirmer@14700
  2120
        THEN res_inst_tac [(rN, s')] cases_scheme 1
wenzelm@17261
  2121
        THEN (METAHYPS equality_tac 1))
schirmer@15012
  2122
             (* simp_all_tac ss (sel_convs) would also work but is less efficient *)
wenzelm@17261
  2123
      end);
schirmer@15015
  2124
     val equality = timeit_msg "record equality proof:" equality_prf;
schirmer@14700
  2125
haftmann@18377
  2126
    val ((([sel_convs',upd_convs',sel_defs',upd_defs',[split_meta',split_object',split_ex'],derived_defs'],
haftmann@18377
  2127
            [surjective',equality']),[induct_scheme',induct',cases_scheme',cases']), thms_thy) =
schirmer@14700
  2128
      defs_thy
schirmer@14700
  2129
      |> (PureThy.add_thmss o map Thm.no_attributes)
schirmer@15215
  2130
         [("select_convs", sel_convs_standard),
schirmer@14700
  2131
          ("update_convs", upd_convs),
schirmer@14700
  2132
          ("select_defs", sel_defs),
schirmer@14700
  2133
          ("update_defs", upd_defs),
schirmer@15215
  2134
          ("splits", [split_meta_standard,split_object,split_ex]),
schirmer@14700
  2135
          ("defs", derived_defs)]
haftmann@18377
  2136
      ||>> (PureThy.add_thms o map Thm.no_attributes)
schirmer@14700
  2137
          [("surjective", surjective),
schirmer@14700
  2138
           ("equality", equality)]
haftmann@18377
  2139
      ||>> PureThy.add_thms
schirmer@14700
  2140
        [(("induct_scheme", induct_scheme), induct_type_global (suffix schemeN name)),
schirmer@14700
  2141
         (("induct", induct), induct_type_global name),
schirmer@14700
  2142
         (("cases_scheme", cases_scheme), cases_type_global (suffix schemeN name)),
schirmer@14700
  2143
         (("cases", cases), cases_type_global name)];
schirmer@14700
  2144
schirmer@14700
  2145
schirmer@14700
  2146
    val sel_upd_simps = sel_convs' @ upd_convs';
schirmer@14700
  2147
    val iffs = [ext_inject]
schirmer@14700
  2148
    val final_thy =
schirmer@14700
  2149
      thms_thy
haftmann@18377
  2150
      |> (snd oo PureThy.add_thmss)
wenzelm@18728
  2151
          [(("simps", sel_upd_simps), [Simplifier.simp_add]),
wenzelm@18728
  2152
           (("iffs",iffs), [iff_add])]
wenzelm@17261
  2153
      |> put_record name (make_record_info args parent fields extension induct_scheme')
schirmer@14700
  2154
      |> put_sel_upd (names @ [full_moreN]) sel_upd_simps
schirmer@14700
  2155
      |> add_record_equalities extension_id equality'
schirmer@15015
  2156
      |> add_extinjects ext_inject
schirmer@15015
  2157
      |> add_extsplit extension_name ext_split
schirmer@14700
  2158
      |> add_record_splits extension_id (split_meta',split_object',split_ex',induct_scheme')
wenzelm@17261
  2159
      |> add_extfields extension_name (fields @ [(full_moreN,moreT)])
wenzelm@17261
  2160
      |> add_fieldext (extension_name,snd extension) (names @ [full_moreN])
schirmer@14700
  2161
      |> Theory.parent_path;
schirmer@14700
  2162
schirmer@14700
  2163
  in final_thy
schirmer@14700
  2164
  end;
wenzelm@4867
  2165
wenzelm@4867
  2166
(* add_record *)
wenzelm@4867
  2167
wenzelm@4895
  2168
(*we do all preparations and error checks here, deferring the real
wenzelm@4895
  2169
  work to record_definition*)
wenzelm@4867
  2170
fun gen_add_record prep_typ prep_raw_parent (params, bname) raw_parent raw_fields thy =
wenzelm@4867
  2171
  let
wenzelm@17261
  2172
    val _ = Theory.requires thy "Record" "record definitions";
wenzelm@4867
  2173
    val sign = Theory.sign_of thy;
wenzelm@5698
  2174
    val _ = message ("Defining record " ^ quote bname ^ " ...");
wenzelm@4867
  2175
wenzelm@4867
  2176
wenzelm@4867
  2177
    (* parents *)
wenzelm@4867
  2178
wenzelm@4867
  2179
    fun prep_inst T = snd (cert_typ sign ([], T));
wenzelm@4867
  2180
skalberg@15570
  2181
    val parent = Option.map (apfst (map prep_inst) o prep_raw_parent sign) raw_parent
wenzelm@18678
  2182
      handle ERROR msg => cat_error msg ("The error(s) above in parent record specification");
wenzelm@12247
  2183
    val parents = add_parents thy parent [];
wenzelm@4867
  2184
wenzelm@4867
  2185
    val init_env =
wenzelm@4867
  2186
      (case parent of
skalberg@15531
  2187
        NONE => []
skalberg@15574
  2188
      | SOME (types, _) => foldr Term.add_typ_tfrees [] types);
wenzelm@4867
  2189
wenzelm@4867
  2190
wenzelm@4867
  2191
    (* fields *)
wenzelm@4867
  2192
wenzelm@12506
  2193
    fun prep_field (env, (c, raw_T, mx)) =
wenzelm@18678
  2194
      let val (env', T) = prep_typ sign (env, raw_T) handle ERROR msg =>
wenzelm@18678
  2195
        cat_error msg ("The error(s) above occured in field " ^ quote c)
wenzelm@12506
  2196
      in (env', (c, T, mx)) end;
wenzelm@4867
  2197
wenzelm@4967
  2198
    val (envir, bfields) = foldl_map prep_field (init_env, raw_fields);
wenzelm@4867
  2199
    val envir_names = map fst envir;
wenzelm@4867
  2200
wenzelm@4867
  2201
wenzelm@4867
  2202
    (* args *)
wenzelm@4867
  2203
wenzelm@4867
  2204
    val defaultS = Sign.defaultS sign;
haftmann@17485
  2205
    val args = map (fn x => (x, AList.lookup (op =) envir x |> the_default defaultS)) params;
wenzelm@4867
  2206
wenzelm@4867
  2207
wenzelm@4867
  2208
    (* errors *)
wenzelm@4867
  2209
wenzelm@4890
  2210
    val name = Sign.full_name sign bname;
wenzelm@17261
  2211
    val err_dup_record =
wenzelm@4890
  2212
      if is_none (get_record thy name) then []
wenzelm@4890
  2213
      else ["Duplicate definition of record " ^ quote name];
wenzelm@4890
  2214
wenzelm@4867
  2215
    val err_dup_parms =
wenzelm@18964
  2216
      (case duplicates (op =) params of
wenzelm@4867
  2217
        [] => []
wenzelm@4890
  2218
      | dups => ["Duplicate parameter(s) " ^ commas dups]);
wenzelm@4867
  2219
wenzelm@4867
  2220
    val err_extra_frees =
haftmann@20951
  2221
      (case subtract (op =) params envir_names of
wenzelm@4867
  2222
        [] => []
wenzelm@4890
  2223
      | extras => ["Extra free type variable(s) " ^ commas extras]);
wenzelm@4867
  2224
wenzelm@4890
  2225
    val err_no_fields = if null bfields then ["No fields present"] else [];
wenzelm@4867
  2226
wenzelm@4867
  2227
    val err_dup_fields =
wenzelm@18964
  2228
      (case duplicates (op =) (map #1 bfields) of
wenzelm@4867
  2229
        [] => []
wenzelm@4890
  2230
      | dups => ["Duplicate field(s) " ^ commas_quote dups]);
wenzelm@4890
  2231
wenzelm@4890
  2232
    val err_bad_fields =
wenzelm@12506
  2233
      if forall (not_equal moreN o #1) bfields then []
wenzelm@4890
  2234
      else ["Illegal field name " ^ quote moreN];
wenzelm@4867
  2235
wenzelm@4867
  2236
    val err_dup_sorts =
wenzelm@18964
  2237
      (case duplicates (op =) envir_names of
wenzelm@4867
  2238
        [] => []
wenzelm@4867
  2239
      | dups => ["Inconsistent sort constraints for " ^ commas dups]);
wenzelm@4867
  2240