src/HOL/BNF/Tools/bnf_fp_util.ML
author blanchet
Thu May 02 16:14:14 2013 +0200 (2013-05-02)
changeset 51863 d77cf35c27ac
parent 51862 b9a8c3b92a62
child 51865 55099e63c5ca
permissions -rw-r--r--
tuning names
blanchet@51850
     1
(*  Title:      HOL/BNF/Tools/bnf_fp_util.ML
blanchet@48975
     2
    Author:     Dmitriy Traytel, TU Muenchen
blanchet@51823
     3
    Author:     Jasmin Blanchette, TU Muenchen
blanchet@51823
     4
    Copyright   2012, 2013
blanchet@48975
     5
blanchet@49389
     6
Shared library for the datatype and codatatype constructions.
blanchet@48975
     7
*)
blanchet@48975
     8
blanchet@51850
     9
signature BNF_FP_UTIL =
blanchet@48975
    10
sig
blanchet@49591
    11
  type fp_result =
blanchet@51859
    12
    {Ts: typ list,
blanchet@51859
    13
     bnfs: BNF_Def.bnf list,
blanchet@51839
    14
     ctors: term list,
blanchet@51819
    15
     dtors: term list,
blanchet@51819
    16
     folds: term list,
blanchet@51819
    17
     recs: term list,
blanchet@51819
    18
     induct: thm,
blanchet@51819
    19
     strong_induct: thm,
blanchet@51819
    20
     dtor_ctors: thm list,
blanchet@51819
    21
     ctor_dtors: thm list,
blanchet@51819
    22
     ctor_injects: thm list,
blanchet@51819
    23
     map_thms: thm list,
blanchet@51819
    24
     set_thmss: thm list list,
blanchet@51819
    25
     rel_thms: thm list,
blanchet@51819
    26
     fold_thms: thm list,
blanchet@51819
    27
     rec_thms: thm list}
blanchet@49591
    28
blanchet@51823
    29
  val morph_fp_result: morphism -> fp_result -> fp_result
blanchet@51823
    30
  val eq_fp_result: fp_result * fp_result -> bool
blanchet@51823
    31
blanchet@48975
    32
  val time: Timer.real_timer -> string -> Timer.real_timer
blanchet@48975
    33
blanchet@48975
    34
  val IITN: string
blanchet@48975
    35
  val LevN: string
blanchet@48975
    36
  val algN: string
blanchet@48975
    37
  val behN: string
blanchet@48975
    38
  val bisN: string
blanchet@48975
    39
  val carTN: string
blanchet@49338
    40
  val caseN: string
blanchet@48975
    41
  val coN: string
blanchet@48975
    42
  val coinductN: string
blanchet@48975
    43
  val corecN: string
blanchet@49501
    44
  val ctorN: string
blanchet@49501
    45
  val ctor_dtorN: string
blanchet@49594
    46
  val ctor_dtor_corecN: string
blanchet@49594
    47
  val ctor_dtor_unfoldN: string
blanchet@49501
    48
  val ctor_exhaustN: string
blanchet@49501
    49
  val ctor_induct2N: string
blanchet@49501
    50
  val ctor_inductN: string
blanchet@49501
    51
  val ctor_injectN: string
blanchet@49504
    52
  val ctor_foldN: string
blanchet@49504
    53
  val ctor_fold_uniqueN: string
blanchet@49541
    54
  val ctor_mapN: string
blanchet@49543
    55
  val ctor_map_uniqueN: string
blanchet@49501
    56
  val ctor_recN: string
traytel@51739
    57
  val ctor_rec_uniqueN: string
blanchet@49518
    58
  val ctor_relN: string
blanchet@49544
    59
  val ctor_set_inclN: string
blanchet@49544
    60
  val ctor_set_set_inclN: string
blanchet@49518
    61
  val ctor_srelN: string
blanchet@49594
    62
  val disc_unfoldN: string
blanchet@49594
    63
  val disc_unfold_iffN: string
blanchet@49594
    64
  val disc_corecN: string
blanchet@49594
    65
  val disc_corec_iffN: string
blanchet@49501
    66
  val dtorN: string
blanchet@49582
    67
  val dtor_coinductN: string
blanchet@49501
    68
  val dtor_corecN: string
traytel@51739
    69
  val dtor_corec_uniqueN: string
blanchet@49518
    70
  val dtor_ctorN: string
blanchet@49501
    71
  val dtor_exhaustN: string
blanchet@49501
    72
  val dtor_injectN: string
blanchet@49545
    73
  val dtor_mapN: string
blanchet@49581
    74
  val dtor_map_coinductN: string
blanchet@49581
    75
  val dtor_map_strong_coinductN: string
blanchet@49543
    76
  val dtor_map_uniqueN: string
blanchet@49545
    77
  val dtor_relN: string
blanchet@49544
    78
  val dtor_set_inclN: string
blanchet@49544
    79
  val dtor_set_set_inclN: string
blanchet@49518
    80
  val dtor_srelN: string
blanchet@49545
    81
  val dtor_srel_coinductN: string
blanchet@49545
    82
  val dtor_srel_strong_coinductN: string
blanchet@49582
    83
  val dtor_strong_coinductN: string
blanchet@49516
    84
  val dtor_unfoldN: string
blanchet@49516
    85
  val dtor_unfold_uniqueN: string
blanchet@49020
    86
  val exhaustN: string
blanchet@49504
    87
  val foldN: string
blanchet@48975
    88
  val hsetN: string
blanchet@48975
    89
  val hset_recN: string
blanchet@48975
    90
  val inductN: string
blanchet@49019
    91
  val injectN: string
blanchet@48975
    92
  val isNodeN: string
blanchet@48975
    93
  val lsbisN: string
blanchet@49594
    94
  val mapN: string
blanchet@48975
    95
  val map_uniqueN: string
blanchet@48975
    96
  val min_algN: string
blanchet@48975
    97
  val morN: string
blanchet@49020
    98
  val nchotomyN: string
blanchet@48975
    99
  val recN: string
blanchet@49592
   100
  val rel_injectN: string
blanchet@49592
   101
  val rel_distinctN: string
blanchet@48975
   102
  val rvN: string
blanchet@49594
   103
  val sel_corecN: string
blanchet@48975
   104
  val set_inclN: string
blanchet@48975
   105
  val set_set_inclN: string
blanchet@49594
   106
  val sel_unfoldN: string
blanchet@49585
   107
  val setsN: string
blanchet@49438
   108
  val simpsN: string
blanchet@48975
   109
  val strTN: string
blanchet@48975
   110
  val str_initN: string
blanchet@49591
   111
  val strong_coinductN: string
blanchet@48975
   112
  val sum_bdN: string
blanchet@48975
   113
  val sum_bdTN: string
blanchet@49504
   114
  val unfoldN: string
blanchet@48975
   115
  val uniqueN: string
blanchet@48975
   116
blanchet@49585
   117
  (* TODO: Don't index set facts. Isabelle packages traditionally generate uniform names. *)
blanchet@49584
   118
  val mk_ctor_setN: int -> string
blanchet@49584
   119
  val mk_dtor_setN: int -> string
blanchet@49542
   120
  val mk_dtor_set_inductN: int -> string
blanchet@48975
   121
  val mk_set_inductN: int -> string
blanchet@48975
   122
blanchet@51863
   123
  val datatype_word: bool -> string
blanchet@51863
   124
blanchet@51858
   125
  val base_name_of_typ: typ -> string
blanchet@49498
   126
  val mk_common_name: string list -> string
blanchet@49327
   127
blanchet@51858
   128
  val variant_types: string list -> sort list -> Proof.context ->
blanchet@51858
   129
    (string * sort) list * Proof.context
blanchet@51858
   130
  val variant_tfrees: string list -> Proof.context -> typ list * Proof.context
blanchet@51858
   131
blanchet@48975
   132
  val split_conj_thm: thm -> thm list
blanchet@48975
   133
  val split_conj_prems: int -> thm -> thm
blanchet@48975
   134
blanchet@49255
   135
  val mk_sumTN: typ list -> typ
blanchet@49264
   136
  val mk_sumTN_balanced: typ list -> typ
blanchet@49255
   137
blanchet@49368
   138
  val id_const: typ -> term
blanchet@49368
   139
blanchet@49121
   140
  val Inl_const: typ -> typ -> term
blanchet@49121
   141
  val Inr_const: typ -> typ -> term
blanchet@49121
   142
blanchet@49255
   143
  val mk_Inl: typ -> term -> term
blanchet@49255
   144
  val mk_Inr: typ -> term -> term
blanchet@49121
   145
  val mk_InN: typ list -> term -> int -> term
blanchet@49264
   146
  val mk_InN_balanced: typ -> int -> term -> int -> term
blanchet@49255
   147
  val mk_sum_case: term * term -> term
blanchet@49129
   148
  val mk_sum_caseN: term list -> term
blanchet@49264
   149
  val mk_sum_caseN_balanced: term list -> term
blanchet@49121
   150
blanchet@49255
   151
  val dest_sumT: typ -> typ * typ
blanchet@49176
   152
  val dest_sumTN: int -> typ -> typ list
blanchet@49264
   153
  val dest_sumTN_balanced: int -> typ -> typ list
blanchet@49176
   154
  val dest_tupleT: int -> typ -> typ list
blanchet@49176
   155
blanchet@48975
   156
  val mk_Field: term -> term
blanchet@49275
   157
  val mk_If: term -> term -> term -> term
blanchet@48975
   158
  val mk_union: term * term -> term
blanchet@48975
   159
blanchet@49125
   160
  val mk_sumEN: int -> thm
blanchet@49264
   161
  val mk_sumEN_balanced: int -> thm
blanchet@49335
   162
  val mk_sumEN_tupled_balanced: int list -> thm
blanchet@49130
   163
  val mk_sum_casesN: int -> int -> thm
blanchet@49264
   164
  val mk_sum_casesN_balanced: int -> int -> thm
blanchet@49125
   165
blanchet@48975
   166
  val fixpoint: ('a * 'a -> bool) -> ('a list -> 'a list) -> 'a list -> 'a list
blanchet@48975
   167
blanchet@51758
   168
  val fp_bnf: (mixfix list -> (string * sort) list option -> binding list -> binding list ->
blanchet@51837
   169
      binding list -> binding list list -> typ list * typ list list -> BNF_Def.bnf list ->
blanchet@51767
   170
      local_theory -> 'a) ->
blanchet@51767
   171
    binding list -> mixfix list -> binding list -> binding list -> binding list list ->
blanchet@51837
   172
    (string * sort) list -> ((string * sort) * typ) list -> local_theory -> BNF_Def.bnf list * 'a
blanchet@48975
   173
end;
blanchet@48975
   174
blanchet@51850
   175
structure BNF_FP_Util : BNF_FP_UTIL =
blanchet@48975
   176
struct
blanchet@48975
   177
blanchet@48975
   178
open BNF_Comp
blanchet@48975
   179
open BNF_Def
blanchet@48975
   180
open BNF_Util
blanchet@48975
   181
blanchet@49591
   182
type fp_result =
blanchet@51859
   183
  {Ts: typ list,
blanchet@51859
   184
   bnfs: BNF_Def.bnf list,
blanchet@51839
   185
   ctors: term list,
blanchet@51819
   186
   dtors: term list,
blanchet@51819
   187
   folds: term list,
blanchet@51819
   188
   recs: term list,
blanchet@51819
   189
   induct: thm,
blanchet@51819
   190
   strong_induct: thm,
blanchet@51819
   191
   dtor_ctors: thm list,
blanchet@51819
   192
   ctor_dtors: thm list,
blanchet@51819
   193
   ctor_injects: thm list,
blanchet@51819
   194
   map_thms: thm list,
blanchet@51819
   195
   set_thmss: thm list list,
blanchet@51819
   196
   rel_thms: thm list,
blanchet@51819
   197
   fold_thms: thm list,
blanchet@51819
   198
   rec_thms: thm list};
blanchet@49591
   199
blanchet@51859
   200
fun morph_fp_result phi {Ts, bnfs, ctors, dtors, folds, recs, induct, strong_induct, dtor_ctors,
blanchet@51823
   201
    ctor_dtors, ctor_injects, map_thms, set_thmss, rel_thms, fold_thms, rec_thms} =
blanchet@51859
   202
  {Ts = map (Morphism.typ phi) Ts,
blanchet@51859
   203
   bnfs = map (morph_bnf phi) bnfs,
blanchet@51839
   204
   ctors = map (Morphism.term phi) ctors,
blanchet@51823
   205
   dtors = map (Morphism.term phi) dtors,
blanchet@51823
   206
   folds = map (Morphism.term phi) folds,
blanchet@51823
   207
   recs = map (Morphism.term phi) recs,
blanchet@51823
   208
   induct = Morphism.thm phi induct,
blanchet@51823
   209
   strong_induct = Morphism.thm phi strong_induct,
blanchet@51823
   210
   dtor_ctors = map (Morphism.thm phi) dtor_ctors,
blanchet@51823
   211
   ctor_dtors = map (Morphism.thm phi) ctor_dtors,
blanchet@51823
   212
   ctor_injects = map (Morphism.thm phi) ctor_injects,
blanchet@51823
   213
   map_thms = map (Morphism.thm phi) map_thms,
blanchet@51823
   214
   set_thmss = map (map (Morphism.thm phi)) set_thmss,
blanchet@51823
   215
   rel_thms = map (Morphism.thm phi) rel_thms,
blanchet@51823
   216
   fold_thms = map (Morphism.thm phi) fold_thms,
blanchet@51823
   217
   rec_thms = map (Morphism.thm phi) rec_thms};
blanchet@51823
   218
blanchet@51823
   219
fun eq_fp_result ({bnfs = bnfs1, ...} : fp_result, {bnfs = bnfs2, ...} : fp_result) =
blanchet@51823
   220
  eq_list eq_bnf (bnfs1, bnfs2);
blanchet@51823
   221
blanchet@48975
   222
val timing = true;
blanchet@48975
   223
fun time timer msg = (if timing
blanchet@48975
   224
  then warning (msg ^ ": " ^ ATP_Util.string_from_time (Timer.checkRealTimer timer))
blanchet@48975
   225
  else (); Timer.startRealTimer ());
blanchet@48975
   226
blanchet@49223
   227
val preN = "pre_"
blanchet@49223
   228
val rawN = "raw_"
blanchet@49218
   229
blanchet@48975
   230
val coN = "co"
blanchet@49504
   231
val unN = "un"
blanchet@48975
   232
val algN = "alg"
blanchet@48975
   233
val IITN = "IITN"
blanchet@49504
   234
val foldN = "fold"
blanchet@49504
   235
val unfoldN = unN ^ foldN
blanchet@48975
   236
val uniqueN = "_unique"
blanchet@49438
   237
val simpsN = "simps"
blanchet@49501
   238
val ctorN = "ctor"
blanchet@49501
   239
val dtorN = "dtor"
blanchet@49504
   240
val ctor_foldN = ctorN ^ "_" ^ foldN
blanchet@49504
   241
val dtor_unfoldN = dtorN ^ "_" ^ unfoldN
blanchet@49504
   242
val ctor_fold_uniqueN = ctor_foldN ^ uniqueN
blanchet@49504
   243
val dtor_unfold_uniqueN = dtor_unfoldN ^ uniqueN
blanchet@49594
   244
val ctor_dtor_unfoldN = ctorN ^ "_" ^ dtor_unfoldN
blanchet@49541
   245
val ctor_mapN = ctorN ^ "_" ^ mapN
blanchet@49541
   246
val dtor_mapN = dtorN ^ "_" ^ mapN
blanchet@48975
   247
val map_uniqueN = mapN ^ uniqueN
blanchet@49543
   248
val ctor_map_uniqueN = ctorN ^ "_" ^ map_uniqueN
blanchet@49543
   249
val dtor_map_uniqueN = dtorN ^ "_" ^ map_uniqueN
blanchet@48975
   250
val min_algN = "min_alg"
blanchet@48975
   251
val morN = "mor"
blanchet@48975
   252
val bisN = "bis"
blanchet@48975
   253
val lsbisN = "lsbis"
blanchet@48975
   254
val sum_bdTN = "sbdT"
blanchet@48975
   255
val sum_bdN = "sbd"
blanchet@48975
   256
val carTN = "carT"
blanchet@48975
   257
val strTN = "strT"
blanchet@48975
   258
val isNodeN = "isNode"
blanchet@48975
   259
val LevN = "Lev"
blanchet@48975
   260
val rvN = "recover"
blanchet@48975
   261
val behN = "beh"
blanchet@49585
   262
val setsN = "sets"
blanchet@49584
   263
val mk_ctor_setN = prefix (ctorN ^ "_") o mk_setN
blanchet@49584
   264
val mk_dtor_setN = prefix (dtorN ^ "_") o mk_setN
blanchet@48975
   265
fun mk_set_inductN i = mk_setN i ^ "_induct"
blanchet@49542
   266
val mk_dtor_set_inductN = prefix (dtorN ^ "_") o mk_set_inductN
blanchet@48975
   267
blanchet@48975
   268
val str_initN = "str_init"
blanchet@48975
   269
val recN = "rec"
blanchet@48975
   270
val corecN = coN ^ recN
blanchet@49501
   271
val ctor_recN = ctorN ^ "_" ^ recN
traytel@51739
   272
val ctor_rec_uniqueN = ctor_recN ^ uniqueN
blanchet@49501
   273
val dtor_corecN = dtorN ^ "_" ^ corecN
traytel@51739
   274
val dtor_corec_uniqueN = dtor_corecN ^ uniqueN
blanchet@49594
   275
val ctor_dtor_corecN = ctorN ^ "_" ^ dtor_corecN
blanchet@48975
   276
blanchet@49501
   277
val ctor_dtorN = ctorN ^ "_" ^ dtorN
blanchet@49501
   278
val dtor_ctorN = dtorN ^ "_" ^ ctorN
blanchet@49020
   279
val nchotomyN = "nchotomy"
blanchet@49019
   280
val injectN = "inject"
blanchet@49020
   281
val exhaustN = "exhaust"
blanchet@49585
   282
val ctor_injectN = ctorN ^ "_" ^ injectN
blanchet@49585
   283
val ctor_exhaustN = ctorN ^ "_" ^ exhaustN
blanchet@49585
   284
val dtor_injectN = dtorN ^ "_" ^ injectN
blanchet@49585
   285
val dtor_exhaustN = dtorN ^ "_" ^ exhaustN
blanchet@49545
   286
val ctor_relN = ctorN ^ "_" ^ relN
blanchet@49545
   287
val dtor_relN = dtorN ^ "_" ^ relN
blanchet@49545
   288
val ctor_srelN = ctorN ^ "_" ^ srelN
blanchet@49545
   289
val dtor_srelN = dtorN ^ "_" ^ srelN
blanchet@48975
   290
val inductN = "induct"
blanchet@48975
   291
val coinductN = coN ^ inductN
blanchet@49501
   292
val ctor_inductN = ctorN ^ "_" ^ inductN
blanchet@49501
   293
val ctor_induct2N = ctor_inductN ^ "2"
blanchet@49581
   294
val dtor_map_coinductN = dtor_mapN ^ "_" ^ coinductN
blanchet@49582
   295
val dtor_coinductN = dtorN ^ "_" ^ coinductN
blanchet@49545
   296
val dtor_srel_coinductN = dtor_srelN ^ "_" ^ coinductN
blanchet@49591
   297
val strong_coinductN = "strong_" ^ coinductN
blanchet@49591
   298
val dtor_map_strong_coinductN = dtor_mapN ^ "_" ^ strong_coinductN
blanchet@49591
   299
val dtor_strong_coinductN = dtorN ^ "_" ^ strong_coinductN
blanchet@49591
   300
val dtor_srel_strong_coinductN = dtor_srelN ^ "_" ^ strong_coinductN
blanchet@48975
   301
val hsetN = "Hset"
blanchet@48975
   302
val hset_recN = hsetN ^ "_rec"
blanchet@48975
   303
val set_inclN = "set_incl"
blanchet@49544
   304
val ctor_set_inclN = ctorN ^ "_" ^ set_inclN
blanchet@49544
   305
val dtor_set_inclN = dtorN ^ "_" ^ set_inclN
blanchet@48975
   306
val set_set_inclN = "set_set_incl"
blanchet@49544
   307
val ctor_set_set_inclN = ctorN ^ "_" ^ set_set_inclN
blanchet@49544
   308
val dtor_set_set_inclN = dtorN ^ "_" ^ set_set_inclN
blanchet@48975
   309
blanchet@49338
   310
val caseN = "case"
blanchet@49342
   311
val discN = "disc"
blanchet@49594
   312
val disc_unfoldN = discN ^ "_" ^ unfoldN
blanchet@49594
   313
val disc_corecN = discN ^ "_" ^ corecN
blanchet@49594
   314
val iffN = "_iff"
blanchet@49594
   315
val disc_unfold_iffN = discN ^ "_" ^ unfoldN ^ iffN
blanchet@49594
   316
val disc_corec_iffN = discN ^ "_" ^ corecN ^ iffN
blanchet@49592
   317
val distinctN = "distinct"
blanchet@49592
   318
val rel_distinctN = relN ^ "_" ^ distinctN
blanchet@49592
   319
val injectN = "inject"
blanchet@49592
   320
val rel_injectN = relN ^ "_" ^ injectN
blanchet@49342
   321
val selN = "sel"
blanchet@49594
   322
val sel_unfoldN = selN ^ "_" ^ unfoldN
blanchet@49594
   323
val sel_corecN = selN ^ "_" ^ corecN
blanchet@49338
   324
blanchet@51863
   325
fun datatype_word lfp = (if lfp then "" else "co") ^ "datatype";
blanchet@51863
   326
blanchet@51858
   327
fun add_components_of_typ (Type (s, Ts)) =
blanchet@51858
   328
    fold add_components_of_typ Ts #> cons (Long_Name.base_name s)
blanchet@51858
   329
  | add_components_of_typ _ = I;
blanchet@51858
   330
blanchet@51858
   331
fun base_name_of_typ T = space_implode "_" (add_components_of_typ T []);
blanchet@51858
   332
blanchet@49498
   333
val mk_common_name = space_implode "_";
blanchet@49327
   334
blanchet@49264
   335
fun dest_sumT (Type (@{type_name sum}, [T, T'])) = (T, T');
blanchet@49264
   336
blanchet@49264
   337
fun dest_sumTN 1 T = [T]
blanchet@49264
   338
  | dest_sumTN n (Type (@{type_name sum}, [T, T'])) = T :: dest_sumTN (n - 1) T';
blanchet@49264
   339
blanchet@49264
   340
val dest_sumTN_balanced = Balanced_Tree.dest dest_sumT;
blanchet@49264
   341
blanchet@49264
   342
(* TODO: move something like this to "HOLogic"? *)
blanchet@49264
   343
fun dest_tupleT 0 @{typ unit} = []
blanchet@49264
   344
  | dest_tupleT 1 T = [T]
blanchet@49264
   345
  | dest_tupleT n (Type (@{type_name prod}, [T, T'])) = T :: dest_tupleT (n - 1) T';
blanchet@49264
   346
blanchet@49264
   347
val mk_sumTN = Library.foldr1 mk_sumT;
blanchet@49264
   348
val mk_sumTN_balanced = Balanced_Tree.make mk_sumT;
blanchet@49255
   349
blanchet@49368
   350
fun id_const T = Const (@{const_name id}, T --> T);
blanchet@49368
   351
blanchet@49121
   352
fun Inl_const LT RT = Const (@{const_name Inl}, LT --> mk_sumT (LT, RT));
blanchet@49255
   353
fun mk_Inl RT t = Inl_const (fastype_of t) RT $ t;
blanchet@49121
   354
blanchet@49121
   355
fun Inr_const LT RT = Const (@{const_name Inr}, RT --> mk_sumT (LT, RT));
blanchet@49255
   356
fun mk_Inr LT t = Inr_const LT (fastype_of t) $ t;
blanchet@49121
   357
blanchet@49121
   358
fun mk_InN [_] t 1 = t
blanchet@49255
   359
  | mk_InN (_ :: Ts) t 1 = mk_Inl (mk_sumTN Ts) t
blanchet@49255
   360
  | mk_InN (LT :: Ts) t m = mk_Inr LT (mk_InN Ts t (m - 1))
blanchet@49121
   361
  | mk_InN Ts t _ = raise (TYPE ("mk_InN", Ts, [t]));
blanchet@49121
   362
blanchet@49264
   363
fun mk_InN_balanced sum_T n t k =
blanchet@49264
   364
  let
blanchet@49264
   365
    fun repair_types T (Const (s as @{const_name Inl}, _) $ t) = repair_inj_types T s fst t
blanchet@49264
   366
      | repair_types T (Const (s as @{const_name Inr}, _) $ t) = repair_inj_types T s snd t
blanchet@49264
   367
      | repair_types _ t = t
blanchet@49264
   368
    and repair_inj_types T s get t =
blanchet@49264
   369
      let val T' = get (dest_sumT T) in
blanchet@49264
   370
        Const (s, T' --> T) $ repair_types T' t
blanchet@49264
   371
      end;
blanchet@49264
   372
  in
blanchet@49264
   373
    Balanced_Tree.access {left = mk_Inl dummyT, right = mk_Inr dummyT, init = t} n k
blanchet@49264
   374
    |> repair_types sum_T
blanchet@49264
   375
  end;
blanchet@49264
   376
blanchet@49255
   377
fun mk_sum_case (f, g) =
blanchet@49129
   378
  let
blanchet@49129
   379
    val fT = fastype_of f;
blanchet@49129
   380
    val gT = fastype_of g;
blanchet@49129
   381
  in
blanchet@49129
   382
    Const (@{const_name sum_case},
blanchet@49129
   383
      fT --> gT --> mk_sumT (domain_type fT, domain_type gT) --> range_type fT) $ f $ g
blanchet@49129
   384
  end;
blanchet@49129
   385
blanchet@49264
   386
val mk_sum_caseN = Library.foldr1 mk_sum_case;
blanchet@49264
   387
val mk_sum_caseN_balanced = Balanced_Tree.make mk_sum_case;
blanchet@49176
   388
blanchet@49275
   389
fun mk_If p t f =
blanchet@49275
   390
  let val T = fastype_of t;
blanchet@49275
   391
  in Const (@{const_name If}, HOLogic.boolT --> T --> T --> T) $ p $ t $ f end;
blanchet@49275
   392
blanchet@48975
   393
fun mk_Field r =
blanchet@48975
   394
  let val T = fst (dest_relT (fastype_of r));
blanchet@48975
   395
  in Const (@{const_name Field}, mk_relT (T, T) --> HOLogic.mk_setT T) $ r end;
blanchet@48975
   396
blanchet@48975
   397
val mk_union = HOLogic.mk_binop @{const_name sup};
blanchet@48975
   398
blanchet@48975
   399
(*dangerous; use with monotonic, converging functions only!*)
blanchet@48975
   400
fun fixpoint eq f X = if subset eq (f X, X) then X else fixpoint eq f (f X);
blanchet@48975
   401
blanchet@51858
   402
fun variant_types ss Ss ctxt =
blanchet@51858
   403
  let
blanchet@51858
   404
    val (tfrees, _) =
blanchet@51858
   405
      fold_map2 (fn s => fn S => Name.variant s #> apfst (rpair S)) ss Ss (Variable.names_of ctxt);
blanchet@51858
   406
    val ctxt' = fold (Variable.declare_constraints o Logic.mk_type o TFree) tfrees ctxt;
blanchet@51858
   407
  in (tfrees, ctxt') end;
blanchet@51858
   408
blanchet@51858
   409
fun variant_tfrees ss =
blanchet@51858
   410
  apfst (map TFree) o variant_types (map (prefix "'") ss) (replicate (length ss) HOLogic.typeS);
blanchet@51858
   411
blanchet@48975
   412
(* stolen from "~~/src/HOL/Tools/Datatype/datatype_aux.ML" *)
blanchet@48975
   413
fun split_conj_thm th =
blanchet@49119
   414
  ((th RS conjunct1) :: split_conj_thm (th RS conjunct2)) handle THM _ => [th];
blanchet@48975
   415
blanchet@48975
   416
fun split_conj_prems limit th =
blanchet@48975
   417
  let
blanchet@48975
   418
    fun split n i th =
blanchet@48975
   419
      if i = n then th else split n (i + 1) (conjI RSN (i, th)) handle THM _ => th;
blanchet@48975
   420
  in split limit 1 th end;
blanchet@48975
   421
blanchet@49255
   422
fun mk_sumEN 1 = @{thm one_pointE}
traytel@49240
   423
  | mk_sumEN 2 = @{thm sumE}
traytel@49240
   424
  | mk_sumEN n =
traytel@49240
   425
    (fold (fn i => fn thm => @{thm obj_sum_step} RSN (i, thm)) (2 upto n - 1) @{thm obj_sumE}) OF
traytel@49240
   426
      replicate n (impI RS allI);
blanchet@49125
   427
blanchet@49335
   428
fun mk_obj_sumEN_balanced n =
blanchet@49335
   429
  Balanced_Tree.make (fn (thm1, thm2) => thm1 RSN (1, thm2 RSN (2, @{thm obj_sumE_f})))
blanchet@49335
   430
    (replicate n asm_rl);
blanchet@49335
   431
blanchet@49335
   432
fun mk_sumEN_balanced' n all_impIs = mk_obj_sumEN_balanced n OF all_impIs RS @{thm obj_one_pointE};
blanchet@49335
   433
blanchet@49335
   434
fun mk_sumEN_balanced 1 = @{thm one_pointE} (*optimization*)
blanchet@49264
   435
  | mk_sumEN_balanced 2 = @{thm sumE} (*optimization*)
blanchet@49335
   436
  | mk_sumEN_balanced n = mk_sumEN_balanced' n (replicate n (impI RS allI));
blanchet@49335
   437
blanchet@49335
   438
fun mk_tupled_allIN 0 = @{thm unit_all_impI}
blanchet@49335
   439
  | mk_tupled_allIN 1 = @{thm impI[THEN allI]}
blanchet@49335
   440
  | mk_tupled_allIN 2 = @{thm prod_all_impI} (*optimization*)
blanchet@49335
   441
  | mk_tupled_allIN n = mk_tupled_allIN (n - 1) RS @{thm prod_all_impI_step};
blanchet@49335
   442
blanchet@49335
   443
fun mk_sumEN_tupled_balanced ms =
blanchet@49335
   444
  let val n = length ms in
blanchet@49335
   445
    if forall (curry (op =) 1) ms then mk_sumEN_balanced n
blanchet@49335
   446
    else mk_sumEN_balanced' n (map mk_tupled_allIN ms)
blanchet@49335
   447
  end;
blanchet@49264
   448
blanchet@49264
   449
fun mk_sum_casesN 1 1 = refl
blanchet@49130
   450
  | mk_sum_casesN _ 1 = @{thm sum.cases(1)}
blanchet@49130
   451
  | mk_sum_casesN 2 2 = @{thm sum.cases(2)}
blanchet@49264
   452
  | mk_sum_casesN n k = trans OF [@{thm sum_case_step(2)}, mk_sum_casesN (n - 1) (k - 1)];
blanchet@49264
   453
blanchet@49264
   454
fun mk_sum_step base step thm =
blanchet@49264
   455
  if Thm.eq_thm_prop (thm, refl) then base else trans OF [step, thm];
blanchet@49264
   456
blanchet@49264
   457
fun mk_sum_casesN_balanced 1 1 = refl
blanchet@49264
   458
  | mk_sum_casesN_balanced n k =
blanchet@49264
   459
    Balanced_Tree.access {left = mk_sum_step @{thm sum.cases(1)} @{thm sum_case_step(1)},
blanchet@49264
   460
      right = mk_sum_step @{thm sum.cases(2)} @{thm sum_case_step(2)}, init = refl} n k;
blanchet@49130
   461
blanchet@49141
   462
(* FIXME: because of "@ lhss", the output could contain type variables that are not in the input;
blanchet@49141
   463
   also, "fp_sort" should put the "resBs" first and in the order in which they appear *)
traytel@49185
   464
fun fp_sort lhss NONE Ass = Library.sort (Term_Ord.typ_ord o pairself TFree)
traytel@49185
   465
    (subtract (op =) lhss (fold (fold (insert (op =))) Ass [])) @ lhss
traytel@49185
   466
  | fp_sort lhss (SOME resBs) Ass =
traytel@49185
   467
    (subtract (op =) lhss (filter (fn T => exists (fn Ts => member (op =) Ts T) Ass) resBs)) @ lhss;
blanchet@48975
   468
blanchet@51767
   469
fun mk_fp_bnf timer construct_fp resBs bs map_bs rel_bs set_bss sort lhss bnfs deadss livess
blanchet@51767
   470
    unfold_set lthy =
blanchet@48975
   471
  let
blanchet@49498
   472
    val name = mk_common_name (map Binding.name_of bs);
traytel@49425
   473
    fun qualify i =
traytel@49425
   474
      let val namei = name ^ nonzero_string_of_int i;
traytel@49425
   475
      in Binding.qualify true namei end;
blanchet@48975
   476
blanchet@49132
   477
    val Ass = map (map dest_TFree) livess;
traytel@49185
   478
    val resDs = (case resBs of NONE => [] | SOME Ts => fold (subtract (op =)) Ass Ts);
traytel@49185
   479
    val Ds = fold (fold Term.add_tfreesT) deadss [];
blanchet@49132
   480
traytel@49156
   481
    val _ = (case Library.inter (op =) Ds lhss of [] => ()
blanchet@49591
   482
      | A :: _ => error ("Inadmissible type recursion (cannot take fixed point of dead type \
blanchet@49132
   483
        \variable " ^ quote (Syntax.string_of_typ lthy (TFree A)) ^ ")"));
blanchet@48975
   484
blanchet@48975
   485
    val timer = time (timer "Construction of BNFs");
blanchet@48975
   486
blanchet@49502
   487
    val ((kill_poss, _), (bnfs', (unfold_set', lthy'))) =
blanchet@49502
   488
      normalize_bnfs qualify Ass Ds sort bnfs unfold_set lthy;
blanchet@48975
   489
blanchet@49132
   490
    val Dss = map3 (append oo map o nth) livess kill_poss deadss;
blanchet@48975
   491
traytel@49185
   492
    val ((bnfs'', deadss), lthy'') =
blanchet@49502
   493
      fold_map3 (seal_bnf unfold_set') (map (Binding.prefix_name preN) bs) Dss bnfs' lthy'
traytel@49185
   494
      |>> split_list;
blanchet@48975
   495
blanchet@48975
   496
    val timer = time (timer "Normalization & sealing of BNFs");
blanchet@48975
   497
blanchet@51767
   498
    val res = construct_fp resBs bs map_bs rel_bs set_bss (map TFree resDs, deadss) bnfs'' lthy'';
blanchet@48975
   499
blanchet@48975
   500
    val timer = time (timer "FP construction in total");
blanchet@48975
   501
  in
blanchet@49308
   502
    timer; (bnfs'', res)
blanchet@48975
   503
  end;
blanchet@48975
   504
blanchet@51767
   505
fun fp_bnf construct_fp bs mixfixes map_bs rel_bs set_bss resBs eqs lthy =
blanchet@48975
   506
  let
blanchet@48975
   507
    val timer = time (Timer.startRealTimer ());
blanchet@48975
   508
    val (lhss, rhss) = split_list eqs;
traytel@49185
   509
    val sort = fp_sort lhss (SOME resBs);
traytel@49425
   510
    fun qualify b = Binding.qualify true (Binding.name_of (Binding.prefix_name rawN b));
blanchet@49502
   511
    val ((bnfs, (Dss, Ass)), (unfold_set, lthy')) = apfst (apsnd split_list o split_list)
traytel@49425
   512
      (fold_map2 (fn b => bnf_of_typ Smart_Inline (qualify b) sort) bs rhss
blanchet@49502
   513
        (empty_unfolds, lthy));
blanchet@48975
   514
  in
blanchet@51767
   515
    mk_fp_bnf timer (construct_fp mixfixes) (SOME resBs) bs map_bs rel_bs set_bss sort lhss bnfs Dss
blanchet@51767
   516
      Ass unfold_set lthy'
blanchet@48975
   517
  end;
blanchet@48975
   518
blanchet@48975
   519
end;