src/HOL/BNF/Tools/bnf_fp_def_sugar.ML
author blanchet
Fri, 26 Apr 2013 11:04:46 +0200
changeset 51788 5fe72280a49f
parent 51787 1267c28c7bdd
child 51790 22517d04d20b
permissions -rw-r--r--
put an underscore in prefix
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
49636
b7256a88a84b renamed ML file in preparation for next step
blanchet
parents: 49633
diff changeset
     1
(*  Title:      HOL/BNF/Tools/bnf_fp_def_sugar.ML
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
     2
    Author:     Jasmin Blanchette, TU Muenchen
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
     3
    Copyright   2012
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
     4
49389
blanchet
parents: 49381
diff changeset
     5
Sugared datatype and codatatype constructions.
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
     6
*)
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
     7
49636
b7256a88a84b renamed ML file in preparation for next step
blanchet
parents: 49633
diff changeset
     8
signature BNF_FP_DEF_SUGAR =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
     9
sig
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
    10
  val datatypes: bool ->
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
    11
    (mixfix list -> (string * sort) list option -> binding list -> binding list -> binding list ->
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
    12
      binding list list -> typ list * typ list list -> BNF_Def.BNF list -> local_theory ->
51757
7babcb61aa5c honor user-specified set function names
blanchet
parents: 51756
diff changeset
    13
      BNF_FP.fp_result * local_theory) ->
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
    14
    (bool * bool) * (((((binding * (typ * sort)) list * binding) * (binding * binding)) * mixfix) *
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
    15
      ((((binding * binding) * (binding * typ) list) * (binding * term) list) *
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
    16
        mixfix) list) list ->
49297
47fbf2e3e89c provide a programmatic interface for FP sugar
blanchet
parents: 49287
diff changeset
    17
    local_theory -> local_theory
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
    18
  val parse_datatype_cmd: bool ->
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
    19
    (mixfix list -> (string * sort) list option -> binding list -> binding list -> binding list ->
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
    20
      binding list list -> typ list * typ list list -> BNF_Def.BNF list -> local_theory ->
51757
7babcb61aa5c honor user-specified set function names
blanchet
parents: 51756
diff changeset
    21
      BNF_FP.fp_result * local_theory) ->
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
    22
    (local_theory -> local_theory) parser
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
    23
end;
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
    24
49636
b7256a88a84b renamed ML file in preparation for next step
blanchet
parents: 49633
diff changeset
    25
structure BNF_FP_Def_Sugar : BNF_FP_DEF_SUGAR =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
    26
struct
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
    27
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
    28
open BNF_Util
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
    29
open BNF_Wrap
49214
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
    30
open BNF_Def
49457
1d2825673cec renamed "bnf_fp_util.ML" to "bnf_fp.ML"
blanchet
parents: 49450
diff changeset
    31
open BNF_FP
49636
b7256a88a84b renamed ML file in preparation for next step
blanchet
parents: 49633
diff changeset
    32
open BNF_FP_Def_Sugar_Tactics
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
    33
51788
5fe72280a49f put an underscore in prefix
blanchet
parents: 51787
diff changeset
    34
val EqN = "Eq_";
51777
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
    35
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
    36
(* This function could produce clashes in contrived examples (e.g., "x.A", "x.x_A", "y.A"). *)
49622
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
    37
fun quasi_unambiguous_case_names names =
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
    38
  let
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
    39
    val ps = map (`Long_Name.base_name) names;
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
    40
    val dups = Library.duplicates (op =) (map fst ps);
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
    41
    fun underscore s =
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
    42
      let val ss = space_explode Long_Name.separator s in
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
    43
        space_implode "_" (drop (length ss - 2) ss)
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
    44
      end;
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
    45
  in
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
    46
    map (fn (base, full) => if member (op =) dups base then underscore full else base) ps
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
    47
  end;
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
    48
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
    49
val mp_conj = @{thm mp_conj};
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
    50
49300
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
    51
val simp_attrs = @{attributes [simp]};
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    52
val code_simp_attrs = Code.add_default_eqn_attrib :: simp_attrs;
49300
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
    53
50170
8155e280f239 made SML/NJ happier
traytel
parents: 49693
diff changeset
    54
fun split_list4 [] = ([], [], [], [])
8155e280f239 made SML/NJ happier
traytel
parents: 49693
diff changeset
    55
  | split_list4 ((x1, x2, x3, x4) :: xs) =
8155e280f239 made SML/NJ happier
traytel
parents: 49693
diff changeset
    56
    let val (xs1, xs2, xs3, xs4) = split_list4 xs;
8155e280f239 made SML/NJ happier
traytel
parents: 49693
diff changeset
    57
    in (x1 :: xs1, x2 :: xs2, x3 :: xs3, x4 :: xs4) end;
49214
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
    58
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
    59
fun resort_tfree S (TFree (s, _)) = TFree (s, S);
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
    60
49214
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
    61
fun typ_subst inst (T as Type (s, Ts)) =
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
    62
    (case AList.lookup (op =) inst T of
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
    63
      NONE => Type (s, map (typ_subst inst) Ts)
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
    64
    | SOME T' => T')
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
    65
  | typ_subst inst T = the_default T (AList.lookup (op =) inst T);
49205
674f04c737e0 implemented "mk_iter_or_rec_tac"
blanchet
parents: 49204
diff changeset
    66
49583
7e856b6c5edc nicer type var names
blanchet
parents: 49540
diff changeset
    67
fun variant_types ss Ss ctxt =
7e856b6c5edc nicer type var names
blanchet
parents: 49540
diff changeset
    68
  let
7e856b6c5edc nicer type var names
blanchet
parents: 49540
diff changeset
    69
    val (tfrees, _) =
7e856b6c5edc nicer type var names
blanchet
parents: 49540
diff changeset
    70
      fold_map2 (fn s => fn S => Name.variant s #> apfst (rpair S)) ss Ss (Variable.names_of ctxt);
7e856b6c5edc nicer type var names
blanchet
parents: 49540
diff changeset
    71
    val ctxt' = fold (Variable.declare_constraints o Logic.mk_type o TFree) tfrees ctxt;
7e856b6c5edc nicer type var names
blanchet
parents: 49540
diff changeset
    72
  in (tfrees, ctxt') end;
7e856b6c5edc nicer type var names
blanchet
parents: 49540
diff changeset
    73
49297
47fbf2e3e89c provide a programmatic interface for FP sugar
blanchet
parents: 49287
diff changeset
    74
val lists_bmoc = fold (fn xs => fn t => Term.list_comb (t, xs));
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
    75
49200
73f9aede57a4 correctly curry recursor arguments
blanchet
parents: 49199
diff changeset
    76
fun mk_tupled_fun x f xs = HOLogic.tupled_lambda x (Term.list_comb (f, xs));
73f9aede57a4 correctly curry recursor arguments
blanchet
parents: 49199
diff changeset
    77
fun mk_uncurried_fun f xs = mk_tupled_fun (HOLogic.mk_tuple xs) f xs;
73f9aede57a4 correctly curry recursor arguments
blanchet
parents: 49199
diff changeset
    78
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    79
fun mk_flip (x, Type (_, [T1, Type (_, [T2, T3])])) =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    80
  Abs ("x", T1, Abs ("y", T2, Var (x, T2 --> T1 --> T3) $ Bound 0 $ Bound 1));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    81
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    82
fun flip_rels lthy n thm =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    83
  let
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    84
    val Rs = Term.add_vars (prop_of thm) [];
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    85
    val Rs' = rev (drop (length Rs - n) Rs);
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    86
    val cRs = map (fn f => (certify lthy (Var f), certify lthy (mk_flip f))) Rs';
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    87
  in
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    88
    Drule.cterm_instantiate cRs thm
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    89
  end;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
    90
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
    91
fun mk_ctor_or_dtor get_T Ts t =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
    92
  let val Type (_, Ts0) = get_T (fastype_of t) in
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
    93
    Term.subst_atomic_types (Ts0 ~~ Ts) t
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
    94
  end;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
    95
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
    96
val mk_ctor = mk_ctor_or_dtor range_type;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
    97
val mk_dtor = mk_ctor_or_dtor domain_type;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
    98
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
    99
fun mk_rec_like lfp Ts Us t =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   100
  let
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   101
    val (bindings, body) = strip_type (fastype_of t);
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   102
    val (f_Us, prebody) = split_last bindings;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   103
    val Type (_, Ts0) = if lfp then prebody else body;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   104
    val Us0 = distinct (op =) (map (if lfp then body_type else domain_type) f_Us);
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   105
  in
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   106
    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   107
  end;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   108
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   109
fun mk_map live Ts Us t =
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   110
  let val (Type (_, Ts0), Type (_, Us0)) = strip_typeN (live + 1) (fastype_of t) |>> List.last in
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   111
    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   112
  end;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   113
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   114
fun mk_rel live Ts Us t =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   115
  let val [Type (_, Ts0), Type (_, Us0)] = binder_types (snd (strip_typeN live (fastype_of t))) in
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   116
    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   117
  end;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   118
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   119
fun liveness_of_fp_bnf n bnf =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   120
  (case T_of_bnf bnf of
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   121
    Type (_, Ts) => map (not o member (op =) (deads_of_bnf bnf)) Ts
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   122
  | _ => replicate n false);
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   123
49124
968e1b7de057 more work on FP sugar
blanchet
parents: 49123
diff changeset
   124
fun cannot_merge_types () = error "Mutually recursive types must have the same type parameters";
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   125
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   126
fun merge_type_arg T T' = if T = T' then T else cannot_merge_types ();
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   127
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   128
fun merge_type_args (As, As') =
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   129
  if length As = length As' then map2 merge_type_arg As As' else cannot_merge_types ();
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   130
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   131
fun reassoc_conjs thm =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   132
  reassoc_conjs (thm RS @{thm conj_assoc[THEN iffD1]})
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   133
  handle THM _ => thm;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   134
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   135
fun type_args_named_constrained_of ((((ncAs, _), _), _), _) = ncAs;
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   136
fun type_binding_of ((((_, b), _), _), _) = b;
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   137
fun map_binding_of (((_, (b, _)), _), _) = b;
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   138
fun rel_binding_of (((_, (_, b)), _), _) = b;
49181
blanchet
parents: 49180
diff changeset
   139
fun mixfix_of ((_, mx), _) = mx;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   140
fun ctr_specs_of (_, ctr_specs) = ctr_specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   141
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   142
fun disc_of ((((disc, _), _), _), _) = disc;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   143
fun ctr_of ((((_, ctr), _), _), _) = ctr;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   144
fun args_of (((_, args), _), _) = args;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   145
fun defaults_of ((_, ds), _) = ds;
49181
blanchet
parents: 49180
diff changeset
   146
fun ctr_mixfix_of (_, mx) = mx;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   147
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   148
fun define_datatypes prepare_constraint prepare_typ prepare_term lfp construct_fp
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   149
    (wrap_opts as (no_dests, rep_compat), specs) no_defs_lthy0 =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   150
  let
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   151
    (* TODO: sanity checks on arguments *)
49478
blanchet
parents: 49463
diff changeset
   152
    (* TODO: integration with function package ("size") *)
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   153
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   154
    val _ = if not lfp andalso no_dests then error "Cannot define destructor-less codatatypes"
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   155
      else ();
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   156
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   157
    fun qualify mandatory fp_b_name =
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   158
      Binding.qualify mandatory fp_b_name o (rep_compat ? Binding.qualify false rep_compat_prefix);
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   159
49367
blanchet
parents: 49366
diff changeset
   160
    val nn = length specs;
49361
cc1d39529dd1 derive induction via backward proof, to ensure that the premises are in the right order for constructors like "X x y x" where x and y are mutually recursive
blanchet
parents: 49342
diff changeset
   161
    val fp_bs = map type_binding_of specs;
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   162
    val fp_b_names = map Binding.name_of fp_bs;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   163
    val fp_common_name = mk_common_name fp_b_names;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   164
    val map_bs = map map_binding_of specs;
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   165
    val rel_bs = map rel_binding_of specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   166
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   167
    fun prepare_type_arg (_, (ty, c)) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   168
      let val TFree (s, _) = prepare_typ no_defs_lthy0 ty in
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   169
        TFree (s, prepare_constraint no_defs_lthy0 c)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   170
      end;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   171
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   172
    val Ass0 = map (map prepare_type_arg o type_args_named_constrained_of) specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   173
    val unsorted_Ass0 = map (map (resort_tfree HOLogic.typeS)) Ass0;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   174
    val unsorted_As = Library.foldr1 merge_type_args unsorted_Ass0;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   175
    val set_bss = map (map fst o type_args_named_constrained_of) specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   176
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   177
    val (((Bs0, Cs), Xs), no_defs_lthy) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   178
      no_defs_lthy0
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   179
      |> fold (Variable.declare_typ o resort_tfree dummyS) unsorted_As
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   180
      |> mk_TFrees (length unsorted_As)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   181
      ||>> mk_TFrees nn
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   182
      ||>> apfst (map TFree) o
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   183
        variant_types (map (prefix "'") fp_b_names) (replicate nn HOLogic.typeS);
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   184
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   185
    (* TODO: cleaner handling of fake contexts, without "background_theory" *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   186
    (*the "perhaps o try" below helps gracefully handles the case where the new type is defined in a
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   187
      locale and shadows an existing global type*)
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
   188
51769
5c657ca97d99 simplified code -- no need for two attempts, the error we get from mixfix the first time is good (and better to get than a parse error in the specification because the user tries to use a mixfix that silently failed)
blanchet
parents: 51768
diff changeset
   189
    fun add_fake_type spec =
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
   190
      Sign.add_type no_defs_lthy (type_binding_of spec,
51769
5c657ca97d99 simplified code -- no need for two attempts, the error we get from mixfix the first time is good (and better to get than a parse error in the specification because the user tries to use a mixfix that silently failed)
blanchet
parents: 51768
diff changeset
   191
        length (type_args_named_constrained_of spec), mixfix_of spec);
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
   192
51769
5c657ca97d99 simplified code -- no need for two attempts, the error we get from mixfix the first time is good (and better to get than a parse error in the specification because the user tries to use a mixfix that silently failed)
blanchet
parents: 51768
diff changeset
   193
    val fake_thy = Theory.copy #> fold add_fake_type specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   194
    val fake_lthy = Proof_Context.background_theory fake_thy no_defs_lthy;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   195
49182
b8517107ffc5 read the real types off the constant types, rather than using the fake parser types (second step of sugar localization)
blanchet
parents: 49181
diff changeset
   196
    fun mk_fake_T b =
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   197
      Type (fst (Term.dest_Type (Proof_Context.read_type_name fake_lthy true (Binding.name_of b))),
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   198
        unsorted_As);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   199
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
   200
    val fake_Ts = map mk_fake_T fp_bs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   201
49181
blanchet
parents: 49180
diff changeset
   202
    val mixfixes = map mixfix_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   203
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
   204
    val _ = (case duplicates Binding.eq_name fp_bs of [] => ()
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   205
      | b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b)));
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   206
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   207
    val ctr_specss = map ctr_specs_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   208
49336
blanchet
parents: 49330
diff changeset
   209
    val disc_bindingss = map (map disc_of) ctr_specss;
blanchet
parents: 49330
diff changeset
   210
    val ctr_bindingss =
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   211
      map2 (fn fp_b_name => map (qualify false fp_b_name o ctr_of)) fp_b_names ctr_specss;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   212
    val ctr_argsss = map (map args_of) ctr_specss;
49181
blanchet
parents: 49180
diff changeset
   213
    val ctr_mixfixess = map (map ctr_mixfix_of) ctr_specss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   214
49336
blanchet
parents: 49330
diff changeset
   215
    val sel_bindingsss = map (map (map fst)) ctr_argsss;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   216
    val fake_ctr_Tsss0 = map (map (map (prepare_typ fake_lthy o snd))) ctr_argsss;
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   217
    val raw_sel_defaultsss = map (map defaults_of) ctr_specss;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   218
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
   219
    val (As :: _) :: fake_ctr_Tsss =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   220
      burrow (burrow (Syntax.check_typs fake_lthy)) (Ass0 :: fake_ctr_Tsss0);
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   221
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   222
    val _ = (case duplicates (op =) unsorted_As of [] => ()
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   223
      | A :: _ => error ("Duplicate type parameter " ^
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   224
          quote (Syntax.string_of_typ no_defs_lthy A)));
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   225
49183
0cc46e2dee7e careful about constructor types w.r.t. fake context (third step of localization)
blanchet
parents: 49182
diff changeset
   226
    val rhs_As' = fold (fold (fold Term.add_tfreesT)) fake_ctr_Tsss [];
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   227
    val _ = (case subtract (op =) (map dest_TFree As) rhs_As' of
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
   228
        [] => ()
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   229
      | A' :: _ => error ("Extra type variable on right-hand side: " ^
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   230
          quote (Syntax.string_of_typ no_defs_lthy (TFree A'))));
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
   231
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   232
    fun eq_fpT_check (T as Type (s, Us)) (Type (s', Us')) =
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
   233
        s = s' andalso (Us = Us' orelse error ("Illegal occurrence of recursive type " ^
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
   234
          quote (Syntax.string_of_typ fake_lthy T)))
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   235
      | eq_fpT_check _ _ = false;
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
   236
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   237
    fun freeze_fp (T as Type (s, Us)) =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   238
        (case find_index (eq_fpT_check T) fake_Ts of
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   239
          ~1 => Type (s, map freeze_fp Us)
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   240
        | kk => nth Xs kk)
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   241
      | freeze_fp T = T;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   242
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   243
    val ctr_TsssXs = map (map (map freeze_fp)) fake_ctr_Tsss;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   244
    val ctr_sum_prod_TsXs = map (mk_sumTN_balanced o map HOLogic.mk_tupleT) ctr_TsssXs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   245
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   246
    val fp_eqs =
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   247
      map dest_TFree Xs ~~ map (Term.typ_subst_atomic (As ~~ unsorted_As)) ctr_sum_prod_TsXs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   248
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   249
    (* TODO: clean up list *)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   250
    val (pre_bnfs, ((fp_bnfs as any_fp_bnf :: _, dtors0, ctors0, fp_folds0, fp_recs0, fp_induct,
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   251
           fp_strong_induct, dtor_ctors, ctor_dtors, ctor_injects, fp_map_thms, fp_set_thmss,
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   252
           fp_rel_thms, fp_fold_thms, fp_rec_thms), lthy)) =
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   253
      fp_bnf construct_fp fp_bs mixfixes map_bs rel_bs set_bss (map dest_TFree unsorted_As) fp_eqs
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   254
        no_defs_lthy0;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   255
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   256
    val timer = time (Timer.startRealTimer ());
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   257
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   258
    fun build_map build_arg (Type (s, Ts)) (Type (_, Us)) =
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   259
      let
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   260
        val bnf = the (bnf_of lthy s);
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   261
        val live = live_of_bnf bnf;
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   262
        val mapx = mk_map live Ts Us (map_of_bnf bnf);
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   263
        val TUs' = map dest_funT (fst (strip_typeN live (fastype_of mapx)));
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   264
      in Term.list_comb (mapx, map build_arg TUs') end;
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   265
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   266
    fun build_rel_step build_arg (Type (s, Ts)) =
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   267
      let
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   268
        val bnf = the (bnf_of lthy s);
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   269
        val live = live_of_bnf bnf;
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   270
        val rel = mk_rel live Ts Ts (rel_of_bnf bnf);
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   271
        val Ts' = map domain_type (fst (strip_typeN live (fastype_of rel)));
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   272
      in Term.list_comb (rel, map build_arg Ts') end;
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   273
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   274
    fun add_nesty_bnf_names Us =
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   275
      let
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   276
        fun add (Type (s, Ts)) ss =
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   277
            let val (needs, ss') = fold_map add Ts ss in
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   278
              if exists I needs then (true, insert (op =) s ss') else (false, ss')
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   279
            end
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   280
          | add T ss = (member (op =) Us T, ss);
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   281
      in snd oo add end;
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   282
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   283
    fun nesty_bnfs Us =
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   284
      map_filter (bnf_of lthy) (fold (fold (fold (add_nesty_bnf_names Us))) ctr_TsssXs []);
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   285
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   286
    val nesting_bnfs = nesty_bnfs As;
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   287
    val nested_bnfs = nesty_bnfs Xs;
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   288
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   289
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   290
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   291
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   292
    val nested_map_comps'' = map ((fn thm => thm RS sym) o map_comp_of_bnf) nested_bnfs;
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   293
    val nested_map_comp's = map map_comp'_of_bnf nested_bnfs;
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   294
    val nested_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nested_bnfs;
49671
61729b149397 tweaked corecursor/coiterator tactic
blanchet
parents: 49670
diff changeset
   295
    val nesting_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nesting_bnfs;
51766
f19a4d0ab1bf renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents: 51758
diff changeset
   296
    val nested_set_map's = maps set_map'_of_bnf nested_bnfs;
f19a4d0ab1bf renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents: 51758
diff changeset
   297
    val nesting_set_map's = maps set_map'_of_bnf nesting_bnfs;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   298
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   299
    val live = live_of_bnf any_fp_bnf;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   300
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   301
    val Bs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   302
      map3 (fn alive => fn A as TFree (_, S) => fn B => if alive then resort_tfree S B else A)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   303
        (liveness_of_fp_bnf (length As) any_fp_bnf) As Bs0;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   304
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   305
    val B_ify = Term.typ_subst_atomic (As ~~ Bs);
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
   306
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   307
    val ctors = map (mk_ctor As) ctors0;
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   308
    val dtors = map (mk_dtor As) dtors0;
49124
968e1b7de057 more work on FP sugar
blanchet
parents: 49123
diff changeset
   309
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   310
    val fpTs = map (domain_type o fastype_of) dtors;
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   311
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   312
    fun massage_simple_notes base =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   313
      filter_out (null o #2)
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   314
      #> map (fn (thmN, thms, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   315
        ((qualify true base (Binding.name thmN), attrs), [(thms, [])]));
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   316
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   317
    val massage_multi_notes =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   318
      maps (fn (thmN, thmss, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   319
        if forall null thmss then
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   320
          []
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   321
        else
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   322
          map3 (fn fp_b_name => fn Type (T_name, _) => fn thms =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   323
            ((qualify true fp_b_name (Binding.name thmN), attrs T_name),
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   324
             [(thms, [])])) fp_b_names fpTs thmss);
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   325
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   326
    val exists_fp_subtype = exists_subtype (member (op =) fpTs);
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   327
    val exists_Cs_subtype = exists_subtype (member (op =) Cs);
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   328
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   329
    val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctr_TsssXs;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   330
    val ns = map length ctr_Tsss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   331
    val kss = map (fn n => 1 upto n) ns;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   332
    val mss = map (map length) ctr_Tsss;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   333
    val Css = map2 replicate ns Cs;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   334
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   335
    val fp_folds as any_fp_fold :: _ = map (mk_rec_like lfp As Cs) fp_folds0;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   336
    val fp_recs as any_fp_rec :: _ = map (mk_rec_like lfp As Cs) fp_recs0;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   337
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   338
    val fp_fold_fun_Ts = fst (split_last (binder_types (fastype_of any_fp_fold)));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   339
    val fp_rec_fun_Ts = fst (split_last (binder_types (fastype_of any_fp_rec)));
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   340
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   341
    val (((fold_only as (gss, _, _), rec_only as (hss, _, _)),
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   342
          (cs, cpss, unfold_only as ((pgss, crssss, cgssss), (_, g_Tsss, _)),
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   343
           corec_only as ((phss, csssss, chssss), (_, h_Tsss, _)))), names_lthy0) =
49208
blanchet
parents: 49207
diff changeset
   344
      if lfp then
blanchet
parents: 49207
diff changeset
   345
        let
blanchet
parents: 49207
diff changeset
   346
          val y_Tsss =
49255
2ecc533d6697 use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents: 49254
diff changeset
   347
            map3 (fn n => fn ms => map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type)
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   348
              ns mss fp_fold_fun_Ts;
49208
blanchet
parents: 49207
diff changeset
   349
          val g_Tss = map2 (map2 (curry (op --->))) y_Tsss Css;
blanchet
parents: 49207
diff changeset
   350
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   351
          val ((gss, ysss), lthy) =
49208
blanchet
parents: 49207
diff changeset
   352
            lthy
blanchet
parents: 49207
diff changeset
   353
            |> mk_Freess "f" g_Tss
blanchet
parents: 49207
diff changeset
   354
            ||>> mk_Freesss "x" y_Tsss;
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   355
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   356
          fun proj_recT proj (Type (s as @{type_name prod}, Ts as [T, U])) =
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   357
              if member (op =) fpTs T then proj (T, U) else Type (s, map (proj_recT proj) Ts)
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   358
            | proj_recT proj (Type (s, Ts)) = Type (s, map (proj_recT proj) Ts)
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   359
            | proj_recT _ T = T;
49274
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   360
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   361
          fun unzip_recT T =
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   362
            if exists_fp_subtype T then [proj_recT fst T, proj_recT snd T] else [T];
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   363
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   364
          val z_Tsss =
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   365
            map3 (fn n => fn ms => map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type)
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   366
              ns mss fp_rec_fun_Ts;
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   367
          val z_Tssss = map (map (map unzip_recT)) z_Tsss;
49208
blanchet
parents: 49207
diff changeset
   368
          val h_Tss = map2 (map2 (fold_rev (curry (op --->)))) z_Tssss Css;
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   369
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   370
          val hss = map2 (map2 retype_free) h_Tss gss;
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   371
          val zsss = map2 (map2 (map2 retype_free)) z_Tsss ysss;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   372
        in
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   373
          ((((gss, g_Tss, ysss), (hss, h_Tss, zsss)),
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   374
            ([], [], (([], [], []), ([], [], [])), (([], [], []), ([], [], [])))), lthy)
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   375
        end
49208
blanchet
parents: 49207
diff changeset
   376
      else
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   377
        let
49221
6d8d5fe9f3a2 fixed bug with one-value types with phantom type arguments
blanchet
parents: 49220
diff changeset
   378
          (*avoid "'a itself" arguments in coiterators and corecursors*)
6d8d5fe9f3a2 fixed bug with one-value types with phantom type arguments
blanchet
parents: 49220
diff changeset
   379
          val mss' =  map (fn [0] => [1] | ms => ms) mss;
6d8d5fe9f3a2 fixed bug with one-value types with phantom type arguments
blanchet
parents: 49220
diff changeset
   380
49463
83ac281bcdc2 provide predicator, define relator
blanchet
parents: 49458
diff changeset
   381
          val p_Tss = map2 (fn n => replicate (Int.max (0, n - 1)) o mk_pred1T) ns Cs;
49275
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   382
49587
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
   383
          fun flat_predss_getterss qss fss = maps (op @) (qss ~~ fss);
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   384
49587
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
   385
          fun flat_preds_predsss_gettersss [] [qss] [fss] = flat_predss_getterss qss fss
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
   386
            | flat_preds_predsss_gettersss (p :: ps) (qss :: qsss) (fss :: fsss) =
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
   387
              p :: flat_predss_getterss qss fss @ flat_preds_predsss_gettersss ps qsss fsss;
49274
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   388
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   389
          fun mk_types maybe_unzipT fun_Ts =
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   390
            let
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   391
              val f_sum_prod_Ts = map range_type fun_Ts;
49255
2ecc533d6697 use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents: 49254
diff changeset
   392
              val f_prod_Tss = map2 dest_sumTN_balanced ns f_sum_prod_Ts;
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   393
              val f_Tsss = map2 (map2 dest_tupleT) mss' f_prod_Tss;
49275
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   394
              val f_Tssss =
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   395
                map2 (fn C => map (map (map (curry (op -->) C) o maybe_unzipT))) Cs f_Tsss;
49275
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   396
              val q_Tssss =
49463
83ac281bcdc2 provide predicator, define relator
blanchet
parents: 49458
diff changeset
   397
                map (map (map (fn [_] => [] | [_, C] => [mk_pred1T (domain_type C)]))) f_Tssss;
49587
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
   398
              val pf_Tss = map3 flat_preds_predsss_gettersss p_Tss q_Tssss f_Tssss;
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   399
            in (q_Tssss, f_sum_prod_Ts, f_Tsss, f_Tssss, pf_Tss) end;
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
   400
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   401
          val (r_Tssss, g_sum_prod_Ts, g_Tsss, g_Tssss, pg_Tss) = mk_types single fp_fold_fun_Ts;
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   402
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   403
          val (((cs, pss), gssss), lthy) =
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   404
            lthy
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   405
            |> mk_Frees "a" Cs
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   406
            ||>> mk_Freess "p" p_Tss
49275
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   407
            ||>> mk_Freessss "g" g_Tssss;
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   408
          val rssss = map (map (map (fn [] => []))) r_Tssss;
49274
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   409
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   410
          fun proj_corecT proj (Type (s as @{type_name sum}, Ts as [T, U])) =
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   411
              if member (op =) fpTs T then proj (T, U) else Type (s, map (proj_corecT proj) Ts)
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   412
            | proj_corecT proj (Type (s, Ts)) = Type (s, map (proj_corecT proj) Ts)
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   413
            | proj_corecT _ T = T;
49274
ddd606ec45b9 first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents: 49273
diff changeset
   414
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   415
          fun unzip_corecT T =
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   416
            if exists_fp_subtype T then [proj_corecT fst T, proj_corecT snd T] else [T];
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   417
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   418
          val (s_Tssss, h_sum_prod_Ts, h_Tsss, h_Tssss, ph_Tss) =
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   419
            mk_types unzip_corecT fp_rec_fun_Ts;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   420
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   421
          val hssss_hd = map2 (map2 (map2 (fn T :: _ => fn [g] => retype_free T g))) h_Tssss gssss;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   422
          val ((sssss, hssss_tl), lthy) =
49275
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   423
            lthy
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   424
            |> mk_Freessss "q" s_Tssss
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   425
            ||>> mk_Freessss "h" (map (map (map tl)) h_Tssss);
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   426
          val hssss = map2 (map2 (map2 cons)) hssss_hd hssss_tl;
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   427
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   428
          val cpss = map2 (map o rapp) cs pss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   429
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   430
          fun mk_terms qssss fssss =
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   431
            let
49587
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
   432
              val pfss = map3 flat_preds_predsss_gettersss pss qssss fssss;
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   433
              val cqssss = map2 (map o map o map o rapp) cs qssss;
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   434
              val cfssss = map2 (map o map o map o rapp) cs fssss;
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   435
            in (pfss, cqssss, cfssss) end;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   436
        in
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   437
          (((([], [], []), ([], [], [])),
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   438
            (cs, cpss, (mk_terms rssss gssss, (g_sum_prod_Ts, g_Tsss, pg_Tss)),
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   439
             (mk_terms sssss hssss, (h_sum_prod_Ts, h_Tsss, ph_Tss)))), lthy)
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   440
        end;
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   441
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   442
    fun define_ctrs_case_for_type (((((((((((((((((((((((((fp_bnf, fp_b), fpT), C), ctor), dtor),
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   443
            fp_fold), fp_rec), ctor_dtor), dtor_ctor), ctor_inject), pre_map_def), pre_set_defs),
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   444
          pre_rel_def), fp_map_thm), fp_set_thms), fp_rel_thm), n), ks), ms), ctr_bindings),
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   445
        ctr_mixfixes), ctr_Tss), disc_bindings), sel_bindingss), raw_sel_defaultss) no_defs_lthy =
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
   446
      let
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   447
        val fp_b_name = Binding.name_of fp_b;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   448
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   449
        val dtorT = domain_type (fastype_of ctor);
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   450
        val ctr_prod_Ts = map HOLogic.mk_tupleT ctr_Tss;
49255
2ecc533d6697 use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents: 49254
diff changeset
   451
        val ctr_sum_prod_T = mk_sumTN_balanced ctr_prod_Ts;
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   452
        val case_Ts = map (fn Ts => Ts ---> C) ctr_Tss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   453
49593
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
   454
        val (((((w, fs), xss), yss), u'), names_lthy) =
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   455
          no_defs_lthy
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   456
          |> yield_singleton (mk_Frees "w") dtorT
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
   457
          ||>> mk_Frees "f" case_Ts
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   458
          ||>> mk_Freess "x" ctr_Tss
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   459
          ||>> mk_Freess "y" (map (map B_ify) ctr_Tss)
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   460
          ||>> yield_singleton Variable.variant_fixes fp_b_name;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   461
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   462
        val u = Free (u', fpT);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   463
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   464
        val tuple_xs = map HOLogic.mk_tuple xss;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   465
        val tuple_ys = map HOLogic.mk_tuple yss;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   466
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
   467
        val ctr_rhss =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   468
          map3 (fn k => fn xs => fn tuple_x => fold_rev Term.lambda xs (ctor $
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   469
            mk_InN_balanced ctr_sum_prod_T n tuple_x k)) ks xss tuple_xs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   470
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   471
        val case_binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ caseN) fp_b);
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
   472
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   473
        val case_rhs =
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   474
          fold_rev Term.lambda (fs @ [u])
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   475
            (mk_sum_caseN_balanced (map2 mk_uncurried_fun fs xss) $ (dtor $ u));
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
   476
49201
blanchet
parents: 49200
diff changeset
   477
        val ((raw_case :: raw_ctrs, raw_case_def :: raw_ctr_defs), (lthy', lthy)) = no_defs_lthy
49169
937a0fadddfb honor mixfix specifications
blanchet
parents: 49167
diff changeset
   478
          |> apfst split_list o fold_map3 (fn b => fn mx => fn rhs =>
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
   479
              Local_Theory.define ((b, mx), ((Thm.def_binding b, []), rhs)) #>> apsnd snd)
49336
blanchet
parents: 49330
diff changeset
   480
            (case_binding :: ctr_bindings) (NoSyn :: ctr_mixfixes) (case_rhs :: ctr_rhss)
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   481
          ||> `Local_Theory.restore;
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   482
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   483
        val phi = Proof_Context.export_morphism lthy lthy';
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   484
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   485
        val ctr_defs = map (Morphism.thm phi) raw_ctr_defs;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   486
        val ctr_defs' =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   487
          map2 (fn m => fn def => mk_unabs_def m (def RS meta_eq_to_obj_eq)) ms ctr_defs;
49130
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents: 49129
diff changeset
   488
        val case_def = Morphism.thm phi raw_case_def;
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents: 49129
diff changeset
   489
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   490
        val ctrs0 = map (Morphism.term phi) raw_ctrs;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   491
        val casex0 = Morphism.term phi raw_case;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   492
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   493
        val ctrs = map (mk_ctr As) ctrs0;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   494
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   495
        fun wrap lthy =
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
   496
          let
50170
8155e280f239 made SML/NJ happier
traytel
parents: 49693
diff changeset
   497
            fun exhaust_tac {context = ctxt, prems = _} =
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
   498
              let
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   499
                val ctor_iff_dtor_thm =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   500
                  let
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   501
                    val goal =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   502
                      fold_rev Logic.all [w, u]
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   503
                        (mk_Trueprop_eq (HOLogic.mk_eq (u, ctor $ w), HOLogic.mk_eq (dtor $ u, w)));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   504
                  in
51551
88d1d19fb74f tuned signature and module arrangement;
wenzelm
parents: 51380
diff changeset
   505
                    Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   506
                      mk_ctor_iff_dtor_tac ctxt (map (SOME o certifyT lthy) [dtorT, fpT])
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   507
                        (certify lthy ctor) (certify lthy dtor) ctor_dtor dtor_ctor)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   508
                    |> Thm.close_derivation
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   509
                    |> Morphism.thm phi
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   510
                  end;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   511
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   512
                val sumEN_thm' =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   513
                  unfold_thms lthy @{thms all_unit_eq}
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   514
                    (Drule.instantiate' (map (SOME o certifyT lthy) ctr_prod_Ts) []
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   515
                       (mk_sumEN_balanced n))
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   516
                  |> Morphism.thm phi;
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
   517
              in
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   518
                mk_exhaust_tac ctxt n ctr_defs ctor_iff_dtor_thm sumEN_thm'
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
   519
              end;
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
   520
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   521
            val inject_tacss =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   522
              map2 (fn 0 => K [] | _ => fn ctr_def => [fn {context = ctxt, ...} =>
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   523
                  mk_inject_tac ctxt ctr_def ctor_inject]) ms ctr_defs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   524
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   525
            val half_distinct_tacss =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   526
              map (map (fn (def, def') => fn {context = ctxt, ...} =>
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   527
                mk_half_distinct_tac ctxt ctor_inject [def, def'])) (mk_half_pairss (`I ctr_defs));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   528
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   529
            val case_tacs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   530
              map3 (fn k => fn m => fn ctr_def => fn {context = ctxt, ...} =>
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   531
                mk_case_tac ctxt n k m case_def ctr_def dtor_ctor) ks ms ctr_defs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   532
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   533
            val tacss = [exhaust_tac] :: inject_tacss @ half_distinct_tacss @ [case_tacs];
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   534
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   535
            val sel_defaultss = map (map (apsnd (prepare_term lthy))) raw_sel_defaultss
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
   536
          in
51781
0504e286d66d renamed "wrap_data" to "wrap_free_constructors"
blanchet
parents: 51780
diff changeset
   537
            wrap_free_constructors tacss (((wrap_opts, ctrs0), casex0), (disc_bindings,
0504e286d66d renamed "wrap_data" to "wrap_free_constructors"
blanchet
parents: 51780
diff changeset
   538
              (sel_bindingss, sel_defaultss))) lthy
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
   539
          end;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   540
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   541
        fun derive_maps_sets_rels (wrap_res, lthy) =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   542
          let
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   543
            val rel_flip = rel_flip_of_bnf fp_bnf;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   544
            val nones = replicate live NONE;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   545
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   546
            val ctor_cong =
51746
5af40820948b avoid accidental specialization of the types in the "map" property of codatatypes
blanchet
parents: 51745
diff changeset
   547
              if lfp then
5af40820948b avoid accidental specialization of the types in the "map" property of codatatypes
blanchet
parents: 51745
diff changeset
   548
                Drule.dummy_thm
5af40820948b avoid accidental specialization of the types in the "map" property of codatatypes
blanchet
parents: 51745
diff changeset
   549
              else
5af40820948b avoid accidental specialization of the types in the "map" property of codatatypes
blanchet
parents: 51745
diff changeset
   550
                let val ctor' = mk_ctor Bs ctor in
5af40820948b avoid accidental specialization of the types in the "map" property of codatatypes
blanchet
parents: 51745
diff changeset
   551
                  cterm_instantiate_pos [NONE, NONE, SOME (certify lthy ctor')] arg_cong
5af40820948b avoid accidental specialization of the types in the "map" property of codatatypes
blanchet
parents: 51745
diff changeset
   552
                end;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   553
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   554
            fun mk_cIn ify =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   555
              certify lthy o (not lfp ? curry (op $) (map_types ify ctor)) oo
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   556
              mk_InN_balanced (ify ctr_sum_prod_T) n;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   557
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   558
            val cxIns = map2 (mk_cIn I) tuple_xs ks;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   559
            val cyIns = map2 (mk_cIn B_ify) tuple_ys ks;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   560
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   561
            fun mk_map_thm ctr_def' cxIn =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   562
              fold_thms lthy [ctr_def']
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   563
                (unfold_thms lthy (pre_map_def ::
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   564
                     (if lfp then [] else [ctor_dtor, dtor_ctor]) @ sum_prod_thms_map)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   565
                   (cterm_instantiate_pos (nones @ [SOME cxIn])
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   566
                      (if lfp then fp_map_thm else fp_map_thm RS ctor_cong)))
49593
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
   567
              |> singleton (Proof_Context.export names_lthy no_defs_lthy);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   568
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   569
            fun mk_set_thm fp_set_thm ctr_def' cxIn =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   570
              fold_thms lthy [ctr_def']
51766
f19a4d0ab1bf renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents: 51758
diff changeset
   571
                (unfold_thms lthy (pre_set_defs @ nested_set_map's @ nesting_set_map's @
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   572
                     (if lfp then [] else [dtor_ctor]) @ sum_prod_thms_set)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   573
                   (cterm_instantiate_pos [SOME cxIn] fp_set_thm))
49593
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
   574
              |> singleton (Proof_Context.export names_lthy no_defs_lthy);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   575
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   576
            fun mk_set_thms fp_set_thm = map2 (mk_set_thm fp_set_thm) ctr_defs' cxIns;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   577
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   578
            val map_thms = map2 mk_map_thm ctr_defs' cxIns;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   579
            val set_thmss = map mk_set_thms fp_set_thms;
49127
f7326a0d7f19 implemented "mk_half_distinct_tac"
blanchet
parents: 49126
diff changeset
   580
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   581
            val rel_infos = (ctr_defs' ~~ cxIns, ctr_defs' ~~ cyIns);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   582
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   583
            fun mk_rel_thm postproc ctr_defs' cxIn cyIn =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   584
              fold_thms lthy ctr_defs'
51745
a06a3c777add simplify "Inl () = Inr ()" as well (not entirely clear why this is necessary)
blanchet
parents: 51551
diff changeset
   585
                 (unfold_thms lthy (@{thm Inl_Inr_False} :: pre_rel_def ::
a06a3c777add simplify "Inl () = Inr ()" as well (not entirely clear why this is necessary)
blanchet
parents: 51551
diff changeset
   586
                      (if lfp then [] else [dtor_ctor]) @ sum_prod_thms_rel)
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   587
                    (cterm_instantiate_pos (nones @ [SOME cxIn, SOME cyIn]) fp_rel_thm))
49593
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
   588
              |> postproc
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
   589
              |> singleton (Proof_Context.export names_lthy no_defs_lthy);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   590
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   591
            fun mk_rel_inject_thm ((ctr_def', cxIn), (_, cyIn)) =
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   592
              mk_rel_thm (unfold_thms lthy @{thms eq_sym_Unity_conv}) [ctr_def'] cxIn cyIn;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   593
49592
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
   594
            val rel_inject_thms = map mk_rel_inject_thm (op ~~ rel_infos);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   595
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   596
            fun mk_half_rel_distinct_thm ((xctr_def', cxIn), (yctr_def', cyIn)) =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   597
              mk_rel_thm (fn thm => thm RS @{thm eq_False[THEN iffD1]}) [xctr_def', yctr_def']
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   598
                cxIn cyIn;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   599
49592
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
   600
            fun mk_other_half_rel_distinct_thm thm =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   601
              flip_rels lthy live thm RS (rel_flip RS sym RS @{thm arg_cong[of _ _ Not]} RS iffD2);
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   602
49592
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
   603
            val half_rel_distinct_thmss =
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
   604
              map (map mk_half_rel_distinct_thm) (mk_half_pairss rel_infos);
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
   605
            val other_half_rel_distinct_thmss =
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
   606
              map (map mk_other_half_rel_distinct_thm) half_rel_distinct_thmss;
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
   607
            val (rel_distinct_thms, _) =
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
   608
              join_halves n half_rel_distinct_thmss other_half_rel_distinct_thmss;
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   609
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   610
            val notes =
49594
55e798614c45 tweaked theorem names (in particular, dropped s's)
blanchet
parents: 49593
diff changeset
   611
              [(mapN, map_thms, code_simp_attrs),
49592
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
   612
               (rel_distinctN, rel_distinct_thms, code_simp_attrs),
b859a02c1150 fixed "rels" + split them into injectivity and distinctness
blanchet
parents: 49591
diff changeset
   613
               (rel_injectN, rel_inject_thms, code_simp_attrs),
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   614
               (setsN, flat set_thmss, code_simp_attrs)]
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   615
              |> massage_simple_notes fp_b_name;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   616
          in
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   617
            (wrap_res, lthy |> Local_Theory.notes notes |> snd)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   618
          end;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   619
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   620
        fun define_fold_rec no_defs_lthy =
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   621
          let
49208
blanchet
parents: 49207
diff changeset
   622
            val fpT_to_C = fpT --> C;
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
   623
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   624
            fun build_prod_proj mk_proj (T, U) =
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   625
              if T = U then
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   626
                id_const T
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   627
              else
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   628
                (case (T, U) of
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   629
                  (Type (s, _), Type (s', _)) =>
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   630
                  if s = s' then build_map (build_prod_proj mk_proj) T U else mk_proj T
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   631
                | _ => mk_proj T);
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   632
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   633
            (* TODO: Avoid these complications; cf. corec case *)
49672
902b24e0ffb4 fixed recursor definition for datatypes with inner products (e.g. "'a trm" from the lambda-term example)
blanchet
parents: 49671
diff changeset
   634
            fun mk_U proj (Type (s as @{type_name prod}, Ts as [T', U])) =
902b24e0ffb4 fixed recursor definition for datatypes with inner products (e.g. "'a trm" from the lambda-term example)
blanchet
parents: 49671
diff changeset
   635
                if member (op =) fpTs T' then proj (T', U) else Type (s, map (mk_U proj) Ts)
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   636
              | mk_U proj (Type (s, Ts)) = Type (s, map (mk_U proj) Ts)
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   637
              | mk_U _ T = T;
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   638
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   639
            fun unzip_rec (x as Free (_, T)) =
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   640
              if exists_fp_subtype T then
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   641
                [build_prod_proj fst_const (T, mk_U fst T) $ x,
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
   642
                 build_prod_proj snd_const (T, mk_U snd T) $ x]
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   643
              else
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   644
                [x];
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   645
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   646
            fun mk_rec_like_arg f xs = mk_tupled_fun (HOLogic.mk_tuple xs) f (maps unzip_rec xs);
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   647
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   648
            fun generate_rec_like (suf, fp_rec_like, (fss, f_Tss, xsss)) =
49215
blanchet
parents: 49214
diff changeset
   649
              let
blanchet
parents: 49214
diff changeset
   650
                val res_T = fold_rev (curry (op --->)) f_Tss fpT_to_C;
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   651
                val binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ suf) fp_b);
49215
blanchet
parents: 49214
diff changeset
   652
                val spec =
49336
blanchet
parents: 49330
diff changeset
   653
                  mk_Trueprop_eq (lists_bmoc fss (Free (Binding.name_of binding, res_T)),
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   654
                    Term.list_comb (fp_rec_like,
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   655
                      map2 (mk_sum_caseN_balanced oo map2 mk_rec_like_arg) fss xsss));
49336
blanchet
parents: 49330
diff changeset
   656
              in (binding, spec) end;
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
   657
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   658
            val rec_like_infos =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   659
              [(foldN, fp_fold, fold_only),
49215
blanchet
parents: 49214
diff changeset
   660
               (recN, fp_rec, rec_only)];
blanchet
parents: 49214
diff changeset
   661
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   662
            val (bindings, specs) = map generate_rec_like rec_like_infos |> split_list;
49215
blanchet
parents: 49214
diff changeset
   663
blanchet
parents: 49214
diff changeset
   664
            val ((csts, defs), (lthy', lthy)) = no_defs_lthy
49201
blanchet
parents: 49200
diff changeset
   665
              |> apfst split_list o fold_map2 (fn b => fn spec =>
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
   666
                Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
49336
blanchet
parents: 49330
diff changeset
   667
                #>> apsnd snd) bindings specs
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
   668
              ||> `Local_Theory.restore;
49201
blanchet
parents: 49200
diff changeset
   669
blanchet
parents: 49200
diff changeset
   670
            val phi = Proof_Context.export_morphism lthy lthy';
blanchet
parents: 49200
diff changeset
   671
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   672
            val [fold_def, rec_def] = map (Morphism.thm phi) defs;
49201
blanchet
parents: 49200
diff changeset
   673
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   674
            val [foldx, recx] = map (mk_rec_like lfp As Cs o Morphism.term phi) csts;
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   675
          in
49693
393d7242adaf thread the right local theory through + reenable parallel proofs for previously problematic theories
blanchet
parents: 49683
diff changeset
   676
            ((foldx, recx, fold_def, rec_def), lthy')
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   677
          end;
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   678
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   679
        fun define_unfold_corec no_defs_lthy =
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   680
          let
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   681
            val B_to_fpT = C --> fpT;
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   682
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   683
            fun build_sum_inj mk_inj (T, U) =
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   684
              if T = U then
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   685
                id_const T
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   686
              else
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   687
                (case (T, U) of
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   688
                  (Type (s, _), Type (s', _)) =>
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   689
                  if s = s' then build_map (build_sum_inj mk_inj) T U
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   690
                  else uncurry mk_inj (dest_sumT U)
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   691
                | _ => uncurry mk_inj (dest_sumT U));
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   692
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   693
            fun build_dtor_corec_like_arg _ [] [cf] = cf
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   694
              | build_dtor_corec_like_arg T [cq] [cf, cf'] =
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   695
                mk_If cq (build_sum_inj Inl_const (fastype_of cf, T) $ cf)
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   696
                  (build_sum_inj Inr_const (fastype_of cf', T) $ cf')
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   697
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   698
            val crgsss = map3 (map3 (map3 build_dtor_corec_like_arg)) g_Tsss crssss cgssss;
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   699
            val cshsss = map3 (map3 (map3 build_dtor_corec_like_arg)) h_Tsss csssss chssss;
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   700
49276
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   701
            fun mk_preds_getterss_join c n cps sum_prod_T cqfss =
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   702
              Term.lambda c (mk_IfN sum_prod_T cps
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   703
                (map2 (mk_InN_balanced sum_prod_T n) (map HOLogic.mk_tuple cqfss) (1 upto n)));
49275
ce87d6a901eb split sum types in corecursor definition
blanchet
parents: 49274
diff changeset
   704
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   705
            fun generate_corec_like (suf, fp_rec_like, (cqfsss, ((pfss, _, _), (f_sum_prod_Ts, _,
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   706
                pf_Tss)))) =
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   707
              let
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   708
                val res_T = fold_rev (curry (op --->)) pf_Tss B_to_fpT;
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   709
                val binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ suf) fp_b);
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   710
                val spec =
49336
blanchet
parents: 49330
diff changeset
   711
                  mk_Trueprop_eq (lists_bmoc pfss (Free (Binding.name_of binding, res_T)),
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   712
                    Term.list_comb (fp_rec_like,
49276
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
   713
                      map5 mk_preds_getterss_join cs ns cpss f_sum_prod_Ts cqfsss));
49336
blanchet
parents: 49330
diff changeset
   714
              in (binding, spec) end;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   715
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   716
            val corec_like_infos =
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   717
              [(unfoldN, fp_fold, (crgsss, unfold_only)),
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   718
               (corecN, fp_rec, (cshsss, corec_only))];
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   719
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   720
            val (bindings, specs) = map generate_corec_like corec_like_infos |> split_list;
49211
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   721
239a4fa29ddf define corecursors
blanchet
parents: 49210
diff changeset
   722
            val ((csts, defs), (lthy', lthy)) = no_defs_lthy
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   723
              |> apfst split_list o fold_map2 (fn b => fn spec =>
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   724
                Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
49336
blanchet
parents: 49330
diff changeset
   725
                #>> apsnd snd) bindings specs
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   726
              ||> `Local_Theory.restore;
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   727
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   728
            val phi = Proof_Context.export_morphism lthy lthy';
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   729
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   730
            val [unfold_def, corec_def] = map (Morphism.thm phi) defs;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   731
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   732
            val [unfold, corec] = map (mk_rec_like lfp As Cs o Morphism.term phi) csts;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   733
          in
49693
393d7242adaf thread the right local theory through + reenable parallel proofs for previously problematic theories
blanchet
parents: 49683
diff changeset
   734
            ((unfold, corec, unfold_def, corec_def), lthy')
49287
ebe2a5cec4bf allow defaults for one datatype to involve the constructor of another one in the mutually recursive case
blanchet
parents: 49286
diff changeset
   735
          end;
ebe2a5cec4bf allow defaults for one datatype to involve the constructor of another one in the mutually recursive case
blanchet
parents: 49286
diff changeset
   736
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   737
        val define_rec_likes = if lfp then define_fold_rec else define_unfold_corec;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   738
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   739
        fun massage_res ((wrap_res, rec_like_res), lthy) =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   740
          (((ctrs, xss, ctr_defs, wrap_res), rec_like_res), lthy);
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   741
      in
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   742
        (wrap #> (live > 0 ? derive_maps_sets_rels) ##>> define_rec_likes #> massage_res, lthy')
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   743
      end;
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
   744
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   745
    fun wrap_types_and_more (wrap_types_and_mores, lthy) =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   746
      fold_map I wrap_types_and_mores lthy
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   747
      |>> apsnd split_list4 o apfst split_list4 o split_list;
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   748
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   749
    (* TODO: Add map, sets, rel simps *)
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   750
    val mk_simp_thmss =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   751
      map3 (fn (_, _, _, injects, distincts, cases, _, _, _) => fn rec_likes => fn fold_likes =>
49505
a944eefb67e6 fixed bug introduced by fold/unfold renaming
blanchet
parents: 49504
diff changeset
   752
        injects @ distincts @ cases @ rec_likes @ fold_likes);
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
   753
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   754
    fun derive_induct_fold_rec_thms_for_types (((ctrss, xsss, ctr_defss, wrap_ress), (folds, recs,
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   755
        fold_defs, rec_defs)), lthy) =
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   756
      let
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   757
        val (((ps, ps'), us'), names_lthy) =
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   758
          lthy
49463
83ac281bcdc2 provide predicator, define relator
blanchet
parents: 49458
diff changeset
   759
          |> mk_Frees' "P" (map mk_pred1T fpTs)
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   760
          ||>> Variable.variant_fixes fp_b_names;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   761
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   762
        val us = map2 (curry Free) us' fpTs;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   763
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   764
        fun mk_sets_nested bnf =
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   765
          let
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   766
            val Type (T_name, Us) = T_of_bnf bnf;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   767
            val lives = lives_of_bnf bnf;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   768
            val sets = sets_of_bnf bnf;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   769
            fun mk_set U =
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   770
              (case find_index (curry (op =) U) lives of
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   771
                ~1 => Term.dummy
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   772
              | i => nth sets i);
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   773
          in
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   774
            (T_name, map mk_set Us)
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   775
          end;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   776
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   777
        val setss_nested = map mk_sets_nested nested_bnfs;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   778
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   779
        val (induct_thms, induct_thm) =
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   780
          let
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   781
            fun mk_set Ts t =
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   782
              let val Type (_, Ts0) = domain_type (fastype_of t) in
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   783
                Term.subst_atomic_types (Ts0 ~~ Ts) t
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   784
              end;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   785
49375
993677c1cf2a tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents: 49372
diff changeset
   786
            fun mk_raw_prem_prems names_lthy (x as Free (s, T as Type (T_name, Ts0))) =
49361
cc1d39529dd1 derive induction via backward proof, to ensure that the premises are in the right order for constructors like "X x y x" where x and y are mutually recursive
blanchet
parents: 49342
diff changeset
   787
                (case find_index (curry (op =) T) fpTs of
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   788
                  ~1 =>
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   789
                  (case AList.lookup (op =) setss_nested T_name of
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   790
                    NONE => []
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   791
                  | SOME raw_sets0 =>
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   792
                    let
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   793
                      val (Ts, raw_sets) =
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   794
                        split_list (filter (exists_fp_subtype o fst) (Ts0 ~~ raw_sets0));
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   795
                      val sets = map (mk_set Ts0) raw_sets;
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   796
                      val (ys, names_lthy') = names_lthy |> mk_Frees s Ts;
49375
993677c1cf2a tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents: 49372
diff changeset
   797
                      val xysets = map (pair x) (ys ~~ sets);
993677c1cf2a tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents: 49372
diff changeset
   798
                      val ppremss = map (mk_raw_prem_prems names_lthy') ys;
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   799
                    in
49375
993677c1cf2a tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents: 49372
diff changeset
   800
                      flat (map2 (map o apfst o cons) xysets ppremss)
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   801
                    end)
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   802
                | kk => [([], (kk + 1, x))])
49375
993677c1cf2a tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents: 49372
diff changeset
   803
              | mk_raw_prem_prems _ _ = [];
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   804
49378
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   805
            fun close_prem_prem xs t =
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   806
              fold_rev Logic.all (map Free (drop (nn + length xs)
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   807
                (rev (Term.add_frees t (map dest_Free xs @ ps'))))) t;
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   808
49378
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   809
            fun mk_prem_prem xs (xysets, (j, x)) =
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   810
              close_prem_prem xs (Logic.list_implies (map (fn (x', (y, set)) =>
49376
c6366fd0415a select the right premise in "mk_induct_discharge_prem_prems_tac" instead of relying on backtracking
blanchet
parents: 49375
diff changeset
   811
                  HOLogic.mk_Trueprop (HOLogic.mk_mem (y, set $ x'))) xysets,
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   812
                HOLogic.mk_Trueprop (nth ps (j - 1) $ x)));
49375
993677c1cf2a tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents: 49372
diff changeset
   813
49372
c62165188971 polished the induction
blanchet
parents: 49371
diff changeset
   814
            fun mk_raw_prem phi ctr ctr_Ts =
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   815
              let
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   816
                val (xs, names_lthy') = names_lthy |> mk_Frees "x" ctr_Ts;
49376
c6366fd0415a select the right premise in "mk_induct_discharge_prem_prems_tac" instead of relying on backtracking
blanchet
parents: 49375
diff changeset
   817
                val pprems = maps (mk_raw_prem_prems names_lthy') xs;
49378
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   818
              in (xs, pprems, HOLogic.mk_Trueprop (phi $ Term.list_comb (ctr, xs))) end;
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   819
49376
c6366fd0415a select the right premise in "mk_induct_discharge_prem_prems_tac" instead of relying on backtracking
blanchet
parents: 49375
diff changeset
   820
            fun mk_prem (xs, raw_pprems, concl) =
49378
19237e465055 fixed issue with bound variables in prem prems + tuning
blanchet
parents: 49377
diff changeset
   821
              fold_rev Logic.all xs (Logic.list_implies (map (mk_prem_prem xs) raw_pprems, concl));
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
   822
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   823
            val raw_premss = map3 (map2 o mk_raw_prem) ps ctrss ctr_Tsss;
49389
blanchet
parents: 49381
diff changeset
   824
49361
cc1d39529dd1 derive induction via backward proof, to ensure that the premises are in the right order for constructors like "X x y x" where x and y are mutually recursive
blanchet
parents: 49342
diff changeset
   825
            val goal =
49372
c62165188971 polished the induction
blanchet
parents: 49371
diff changeset
   826
              Library.foldr (Logic.list_implies o apfst (map mk_prem)) (raw_premss,
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   827
                HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 (curry (op $)) ps us)));
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
   828
49429
64ac3471005a cleaner way of dealing with the set functions of sums and products
blanchet
parents: 49427
diff changeset
   829
            val kksss = map (map (map (fst o snd) o #2)) raw_premss;
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
   830
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   831
            val ctor_induct' = fp_induct OF (map mk_sumEN_tupled_balanced mss);
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   832
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   833
            val thm =
51551
88d1d19fb74f tuned signature and module arrangement;
wenzelm
parents: 51380
diff changeset
   834
              Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
51766
f19a4d0ab1bf renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents: 51758
diff changeset
   835
                mk_induct_tac ctxt nn ns mss kksss (flat ctr_defss) ctor_induct' nested_set_map's
f19a4d0ab1bf renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents: 51758
diff changeset
   836
                  pre_set_defss)
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
   837
              |> singleton (Proof_Context.export names_lthy lthy)
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   838
              |> Thm.close_derivation;
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   839
          in
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   840
            `(conj_dests nn) thm
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   841
          end;
49201
blanchet
parents: 49200
diff changeset
   842
49622
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   843
        val induct_cases = quasi_unambiguous_case_names (maps (map name_of_ctr) ctrss);
49437
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   844
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   845
        val (fold_thmss, rec_thmss) =
49207
4634c217b77b completed iter/rec proofs
blanchet
parents: 49205
diff changeset
   846
          let
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   847
            val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss;
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   848
            val gfolds = map (lists_bmoc gss) folds;
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   849
            val hrecs = map (lists_bmoc hss) recs;
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   850
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   851
            fun mk_goal fss frec_like xctr f xs fxs =
49207
4634c217b77b completed iter/rec proofs
blanchet
parents: 49205
diff changeset
   852
              fold_rev (fold_rev Logic.all) (xs :: fss)
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   853
                (mk_Trueprop_eq (frec_like $ xctr, Term.list_comb (f, fxs)));
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   854
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   855
            fun build_rec_like frec_likes (T, U) =
49234
blanchet
parents: 49233
diff changeset
   856
              if T = U then
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
   857
                id_const T
49234
blanchet
parents: 49233
diff changeset
   858
              else
blanchet
parents: 49233
diff changeset
   859
                (case find_index (curry (op =) T) fpTs of
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   860
                  ~1 => build_map (build_rec_like frec_likes) T U
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   861
                | kk => nth frec_likes kk);
49233
7f412734fbb3 fixed and reenabled "corecs" theorems
blanchet
parents: 49232
diff changeset
   862
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   863
            val mk_U = typ_subst (map2 pair fpTs Cs);
49214
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
   864
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   865
            fun intr_rec_likes frec_likes maybe_cons (x as Free (_, T)) =
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   866
              if exists_fp_subtype T then
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   867
                maybe_cons x [build_rec_like frec_likes (T, mk_U T) $ x]
49214
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
   868
              else
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
   869
                [x];
2a3cb4c71b87 construct the right iterator theorem in the recursive case
blanchet
parents: 49213
diff changeset
   870
49682
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   871
            val gxsss = map (map (maps (intr_rec_likes gfolds (K I)))) xsss;
f57af1c46f99 removed dead params and dead code
blanchet
parents: 49681
diff changeset
   872
            val hxsss = map (map (maps (intr_rec_likes hrecs cons))) xsss;
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   873
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   874
            val fold_goalss = map5 (map4 o mk_goal gss) gfolds xctrss gss xsss gxsss;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   875
            val rec_goalss = map5 (map4 o mk_goal hss) hrecs xctrss hss xsss hxsss;
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   876
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   877
            val fold_tacss =
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   878
              map2 (map o mk_rec_like_tac pre_map_defs [] nesting_map_ids'' fold_defs) fp_fold_thms
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   879
                ctr_defss;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   880
            val rec_tacss =
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   881
              map2 (map o mk_rec_like_tac pre_map_defs nested_map_comp's
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
   882
                (nested_map_ids'' @ nesting_map_ids'') rec_defs) fp_rec_thms ctr_defss;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   883
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   884
            fun prove goal tac =
51551
88d1d19fb74f tuned signature and module arrangement;
wenzelm
parents: 51380
diff changeset
   885
              Goal.prove_sorry lthy [] [] goal (tac o #context)
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   886
              |> Thm.close_derivation;
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   887
          in
49595
e8c57e59cbf8 got rid of other instance of shaky "Thm.generalize"
blanchet
parents: 49594
diff changeset
   888
            (map2 (map2 prove) fold_goalss fold_tacss, map2 (map2 prove) rec_goalss rec_tacss)
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   889
          end;
49201
blanchet
parents: 49200
diff changeset
   890
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
   891
        val simp_thmss = mk_simp_thmss wrap_ress rec_thmss fold_thmss;
49438
5bc80d96241e group "simps" together
blanchet
parents: 49437
diff changeset
   892
49437
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   893
        val induct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names induct_cases));
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   894
        fun induct_type_attr T_name = Attrib.internal (K (Induct.induct_type T_name));
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   895
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   896
        val common_notes =
49437
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   897
          (if nn > 1 then [(inductN, [induct_thm], [induct_case_names_attr])] else [])
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   898
          |> massage_simple_notes fp_common_name;
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   899
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   900
        val notes =
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   901
          [(foldN, fold_thmss, K code_simp_attrs),
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   902
           (inductN, map single induct_thms,
49437
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   903
            fn T_name => [induct_case_names_attr, induct_type_attr T_name]),
49622
a93f976c3307 use a nicer scheme to indexify names
blanchet
parents: 49605
diff changeset
   904
           (recN, rec_thmss, K code_simp_attrs),
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   905
           (simpsN, simp_thmss, K [])]
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   906
          |> massage_multi_notes;
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   907
      in
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   908
        lthy |> Local_Theory.notes (common_notes @ notes) |> snd
49202
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   909
      end;
f493cd25737f some work towards iterator and recursor properties
blanchet
parents: 49201
diff changeset
   910
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   911
    fun derive_coinduct_unfold_corec_thms_for_types (((ctrss, _, ctr_defss, wrap_ress), (unfolds,
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   912
        corecs, unfold_defs, corec_defs)), lthy) =
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   913
      let
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   914
        val nesting_rel_eqs = map rel_eq_of_bnf nesting_bnfs;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   915
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
   916
        val discss = map (map (mk_disc_or_sel As) o #1) wrap_ress;
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   917
        val selsss = map (map (map (mk_disc_or_sel As)) o #2) wrap_ress;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   918
        val exhaust_thms = map #3 wrap_ress;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   919
        val disc_thmsss = map #7 wrap_ress;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   920
        val discIss = map #8 wrap_ress;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   921
        val sel_thmsss = map #9 wrap_ress;
49438
5bc80d96241e group "simps" together
blanchet
parents: 49437
diff changeset
   922
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   923
        val (((rs, us'), vs'), names_lthy) =
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   924
          lthy
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   925
          |> mk_Frees "R" (map (fn T => mk_pred2T T T) fpTs)
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   926
          ||>> Variable.variant_fixes fp_b_names
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   927
          ||>> Variable.variant_fixes (map (suffix "'") fp_b_names);
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   928
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   929
        val us = map2 (curry Free) us' fpTs;
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   930
        val udiscss = map2 (map o rapp) us discss;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   931
        val uselsss = map2 (map o map o rapp) us selsss;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   932
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   933
        val vs = map2 (curry Free) vs' fpTs;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   934
        val vdiscss = map2 (map o rapp) vs discss;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   935
        val vselsss = map2 (map o map o rapp) vs selsss;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   936
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   937
        val ((coinduct_thms, coinduct_thm), (strong_coinduct_thms, strong_coinduct_thm)) =
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   938
          let
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   939
            val uvrs = map3 (fn r => fn u => fn v => r $ u $ v) rs us vs;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   940
            val uv_eqs = map2 (curry HOLogic.mk_eq) us vs;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   941
            val strong_rs =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   942
              map4 (fn u => fn v => fn uvr => fn uv_eq =>
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   943
                fold_rev Term.lambda [u, v] (HOLogic.mk_disj (uvr, uv_eq))) us vs uvrs uv_eqs;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   944
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   945
            fun build_rel rs' T =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   946
              (case find_index (curry (op =) T) fpTs of
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   947
                ~1 =>
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
   948
                if exists_fp_subtype T then build_rel_step (build_rel rs') T else HOLogic.eq_const T
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   949
              | kk => nth rs' kk);
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   950
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   951
            fun build_rel_app rs' usel vsel =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   952
              fold rapp [usel, vsel] (build_rel rs' (fastype_of usel));
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   953
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   954
            fun mk_prem_ctr_concls rs' n k udisc usels vdisc vsels =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   955
              (if k = n then [] else [HOLogic.mk_eq (udisc, vdisc)]) @
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   956
              (if null usels then
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   957
                 []
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   958
               else
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   959
                 [Library.foldr HOLogic.mk_imp (if n = 1 then [] else [udisc, vdisc],
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   960
                    Library.foldr1 HOLogic.mk_conj (map2 (build_rel_app rs') usels vsels))]);
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   961
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   962
            fun mk_prem_concl rs' n udiscs uselss vdiscs vselss =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   963
              Library.foldr1 HOLogic.mk_conj
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   964
                (flat (map5 (mk_prem_ctr_concls rs' n) (1 upto n) udiscs uselss vdiscs vselss))
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   965
              handle List.Empty => @{term True};
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   966
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   967
            fun mk_prem rs' uvr u v n udiscs uselss vdiscs vselss =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   968
              fold_rev Logic.all [u, v] (Logic.mk_implies (HOLogic.mk_Trueprop uvr,
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   969
                HOLogic.mk_Trueprop (mk_prem_concl rs' n udiscs uselss vdiscs vselss)));
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   970
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   971
            val concl =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   972
              HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   973
                (map3 (fn uvr => fn u => fn v => HOLogic.mk_imp (uvr, HOLogic.mk_eq (u, v)))
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   974
                   uvrs us vs));
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   975
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   976
            fun mk_goal rs' =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   977
              Logic.list_implies (map8 (mk_prem rs') uvrs us vs ns udiscss uselsss vdiscss vselsss,
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   978
                concl);
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   979
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   980
            val goal = mk_goal rs;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   981
            val strong_goal = mk_goal strong_rs;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   982
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   983
            fun prove dtor_coinduct' goal =
51551
88d1d19fb74f tuned signature and module arrangement;
wenzelm
parents: 51380
diff changeset
   984
              Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   985
                mk_coinduct_tac ctxt nesting_rel_eqs nn ns dtor_coinduct' pre_rel_defs dtor_ctors
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   986
                  exhaust_thms ctr_defss disc_thmsss sel_thmsss)
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   987
              |> singleton (Proof_Context.export names_lthy lthy)
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   988
              |> Thm.close_derivation;
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   989
49590
43e2d0e10876 added coinduction tactic
blanchet
parents: 49587
diff changeset
   990
            fun postproc nn thm =
43e2d0e10876 added coinduction tactic
blanchet
parents: 49587
diff changeset
   991
              Thm.permute_prems 0 nn
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   992
                (if nn = 1 then thm RS mp
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   993
                 else funpow nn (fn thm => reassoc_conjs (thm RS mp_conj)) thm)
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   994
              |> Drule.zero_var_indexes
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   995
              |> `(conj_dests nn);
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   996
          in
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   997
            (postproc nn (prove fp_induct goal), postproc nn (prove fp_strong_induct strong_goal))
49337
538687a77075 set up things for (co)induction sugar
blanchet
parents: 49336
diff changeset
   998
          end;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   999
51777
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1000
        fun mk_coinduct_concls ms discs ctrs =
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1001
          let
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1002
            fun mk_disc_concl disc = [name_of_disc disc];
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1003
            fun mk_ctr_concl 0 _ = []
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1004
              | mk_ctr_concl _ ctor = [name_of_ctr ctor];
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1005
            val disc_concls = map mk_disc_concl (fst (split_last discs)) @ [[]];
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1006
            val ctr_concls = map2 mk_ctr_concl ms ctrs;
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1007
          in
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1008
            flat (map2 append disc_concls ctr_concls)
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1009
          end;
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1010
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1011
        val coinduct_cases = quasi_unambiguous_case_names (map (prefix EqN) fp_b_names);
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1012
        val coinduct_conclss =
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1013
          map3 (quasi_unambiguous_case_names ooo mk_coinduct_concls) mss discss ctrss;
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1014
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1015
        fun mk_maybe_not pos = not pos ? HOLogic.mk_not;
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1016
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1017
        val gunfolds = map (lists_bmoc pgss) unfolds;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1018
        val hcorecs = map (lists_bmoc phss) corecs;
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1019
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1020
        val (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss) =
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1021
          let
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1022
            fun mk_goal pfss c cps fcorec_like n k ctr m cfs' =
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1023
              fold_rev (fold_rev Logic.all) ([c] :: pfss)
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1024
                (Logic.list_implies (seq_conds (HOLogic.mk_Trueprop oo mk_maybe_not) n k cps,
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1025
                   mk_Trueprop_eq (fcorec_like $ c, Term.list_comb (ctr, take m cfs'))));
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1026
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1027
            fun build_corec_like fcorec_likes (T, U) =
49234
blanchet
parents: 49233
diff changeset
  1028
              if T = U then
49368
df359ce891ac added induct tactic
blanchet
parents: 49367
diff changeset
  1029
                id_const T
49234
blanchet
parents: 49233
diff changeset
  1030
              else
blanchet
parents: 49233
diff changeset
  1031
                (case find_index (curry (op =) U) fpTs of
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1032
                  ~1 => build_map (build_corec_like fcorec_likes) T U
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1033
                | kk => nth fcorec_likes kk);
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1034
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1035
            val mk_U = typ_subst (map2 pair Cs fpTs);
49233
7f412734fbb3 fixed and reenabled "corecs" theorems
blanchet
parents: 49232
diff changeset
  1036
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1037
            fun intr_corec_likes fcorec_likes [] [cf] =
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1038
                let val T = fastype_of cf in
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1039
                  if exists_Cs_subtype T then build_corec_like fcorec_likes (T, mk_U T) $ cf else cf
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1040
                end
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1041
              | intr_corec_likes fcorec_likes [cq] [cf, cf'] =
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1042
                mk_If cq (intr_corec_likes fcorec_likes [] [cf])
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1043
                  (intr_corec_likes fcorec_likes [] [cf']);
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1044
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1045
            val crgsss = map2 (map2 (map2 (intr_corec_likes gunfolds))) crssss cgssss;
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1046
            val cshsss = map2 (map2 (map2 (intr_corec_likes hcorecs))) csssss chssss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1047
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1048
            val unfold_goalss =
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1049
              map8 (map4 oooo mk_goal pgss) cs cpss gunfolds ns kss ctrss mss crgsss;
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1050
            val corec_goalss =
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1051
              map8 (map4 oooo mk_goal phss) cs cpss hcorecs ns kss ctrss mss cshsss;
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1052
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1053
            fun mk_map_if_distrib bnf =
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1054
              let
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1055
                val mapx = map_of_bnf bnf;
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1056
                val live = live_of_bnf bnf;
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1057
                val ((Ts, T), U) = strip_typeN (live + 1) (fastype_of mapx) |>> split_last;
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1058
                val fs = Variable.variant_frees lthy [mapx] (map (pair "f") Ts);
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1059
                val t = Term.list_comb (mapx, map (Var o apfst (rpair 0)) fs);
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1060
              in
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1061
                Drule.instantiate' (map (SOME o certifyT lthy) [U, T]) [SOME (certify lthy t)]
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1062
                  @{thm if_distrib}
49276
59fa53ed7507 finished splitting sum types for corecursors
blanchet
parents: 49275
diff changeset
  1063
              end;
49232
9ea11f0c53e4 fixed and enabled generation of "coiters" theorems, including the recursive case
blanchet
parents: 49230
diff changeset
  1064
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1065
            val nested_map_if_distribs = map mk_map_if_distrib nested_bnfs;
49213
975ccb0130cb some work on coiter tactic
blanchet
parents: 49212
diff changeset
  1066
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1067
            val unfold_tacss =
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1068
              map3 (map oo mk_corec_like_tac unfold_defs [] [] nesting_map_ids'' [])
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1069
                fp_fold_thms pre_map_defs ctr_defss;
49233
7f412734fbb3 fixed and reenabled "corecs" theorems
blanchet
parents: 49232
diff changeset
  1070
            val corec_tacss =
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1071
              map3 (map oo mk_corec_like_tac corec_defs nested_map_comps'' nested_map_comp's
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1072
                  (nested_map_ids'' @ nesting_map_ids'') nested_map_if_distribs)
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1073
                fp_rec_thms pre_map_defs ctr_defss;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1074
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1075
            fun prove goal tac =
51551
88d1d19fb74f tuned signature and module arrangement;
wenzelm
parents: 51380
diff changeset
  1076
              Goal.prove_sorry lthy [] [] goal (tac o #context) |> Thm.close_derivation;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1077
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1078
            val unfold_thmss = map2 (map2 prove) unfold_goalss unfold_tacss;
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1079
            val corec_thmss = map2 (map2 prove) corec_goalss corec_tacss;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1080
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1081
            val filter_safesss =
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1082
              map2 (map_filter (fn (safes, thm) => if forall I safes then SOME thm else NONE) oo
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1083
                curry (op ~~)) (map2 (map2 (map2 (member (op =)))) cgssss crgsss);
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1084
49683
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1085
            val safe_unfold_thmss = filter_safesss unfold_thmss;
78a3d5006cf1 continued changing type of corec type
blanchet
parents: 49682
diff changeset
  1086
            val safe_corec_thmss = filter_safesss corec_thmss;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1087
          in
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1088
            (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss)
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1089
          end;
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1090
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1091
        val (disc_unfold_iff_thmss, disc_corec_iff_thmss) =
49482
e6d6869eed08 generate coiter_iff and corec_iff theorems
blanchet
parents: 49479
diff changeset
  1092
          let
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1093
            fun mk_goal c cps fcorec_like n k disc =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1094
              mk_Trueprop_eq (disc $ (fcorec_like $ c),
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1095
                if n = 1 then @{const True}
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1096
                else Library.foldr1 HOLogic.mk_conj (seq_conds mk_maybe_not n k cps));
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1097
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1098
            val unfold_goalss = map6 (map2 oooo mk_goal) cs cpss gunfolds ns kss discss;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1099
            val corec_goalss = map6 (map2 oooo mk_goal) cs cpss hcorecs ns kss discss;
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1100
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1101
            fun mk_case_split' cp =
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1102
              Drule.instantiate' [] [SOME (certify lthy cp)] @{thm case_split};
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1103
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1104
            val case_splitss' = map (map mk_case_split') cpss;
49482
e6d6869eed08 generate coiter_iff and corec_iff theorems
blanchet
parents: 49479
diff changeset
  1105
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1106
            val unfold_tacss =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1107
              map3 (map oo mk_disc_corec_like_iff_tac) case_splitss' unfold_thmss disc_thmsss;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1108
            val corec_tacss =
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1109
              map3 (map oo mk_disc_corec_like_iff_tac) case_splitss' corec_thmss disc_thmsss;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1110
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1111
            fun prove goal tac =
51551
88d1d19fb74f tuned signature and module arrangement;
wenzelm
parents: 51380
diff changeset
  1112
              Goal.prove_sorry lthy [] [] goal (tac o #context)
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1113
              |> singleton (Proof_Context.export names_lthy0 no_defs_lthy)
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1114
              |> Thm.close_derivation;
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1115
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1116
            fun proves [_] [_] = []
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1117
              | proves goals tacs = map2 prove goals tacs;
49482
e6d6869eed08 generate coiter_iff and corec_iff theorems
blanchet
parents: 49479
diff changeset
  1118
          in
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1119
            (map2 proves unfold_goalss unfold_tacss,
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49482
diff changeset
  1120
             map2 proves corec_goalss corec_tacss)
49482
e6d6869eed08 generate coiter_iff and corec_iff theorems
blanchet
parents: 49479
diff changeset
  1121
          end;
e6d6869eed08 generate coiter_iff and corec_iff theorems
blanchet
parents: 49479
diff changeset
  1122
49605
ea566f5e1724 avoid another brand of trivial "disc_rel" theorems (which made the simplifier loop for all single-constructor types)
blanchet
parents: 49595
diff changeset
  1123
        val is_triv_discI = is_triv_implies orf is_concl_refl;
ea566f5e1724 avoid another brand of trivial "disc_rel" theorems (which made the simplifier loop for all single-constructor types)
blanchet
parents: 49595
diff changeset
  1124
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1125
        fun mk_disc_corec_like_thms corec_likes discIs =
49605
ea566f5e1724 avoid another brand of trivial "disc_rel" theorems (which made the simplifier loop for all single-constructor types)
blanchet
parents: 49595
diff changeset
  1126
          map (op RS) (filter_out (is_triv_discI o snd) (corec_likes ~~ discIs));
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
  1127
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1128
        val disc_unfold_thmss = map2 mk_disc_corec_like_thms unfold_thmss discIss;
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1129
        val disc_corec_thmss = map2 mk_disc_corec_like_thms corec_thmss discIss;
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
  1130
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1131
        fun mk_sel_corec_like_thm corec_like_thm sel sel_thm =
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
  1132
          let
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1133
            val (domT, ranT) = dest_funT (fastype_of sel);
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
  1134
            val arg_cong' =
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
  1135
              Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT])
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1136
                [NONE, NONE, SOME (certify lthy sel)] arg_cong
49267
c96a07255e10 correctly generate sel_coiter and sel_corec theorems
blanchet
parents: 49266
diff changeset
  1137
              |> Thm.varifyT_global;
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
  1138
            val sel_thm' = sel_thm RSN (2, trans);
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
  1139
          in
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1140
            corec_like_thm RS arg_cong' RS sel_thm'
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
  1141
          end;
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
  1142
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1143
        fun mk_sel_corec_like_thms corec_likess =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1144
          map3 (map3 (map2 o mk_sel_corec_like_thm)) corec_likess selsss sel_thmsss |> map flat;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1145
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1146
        val sel_unfold_thmss = mk_sel_corec_like_thms unfold_thmss;
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1147
        val sel_corec_thmss = mk_sel_corec_like_thms corec_thmss;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1148
49587
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
  1149
        fun flat_corec_like_thms corec_likes disc_corec_likes sel_corec_likes =
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1150
          corec_likes @ disc_corec_likes @ sel_corec_likes;
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1151
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1152
        val simp_thmss =
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1153
          mk_simp_thmss wrap_ress
49587
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
  1154
            (map3 flat_corec_like_thms safe_corec_thmss disc_corec_thmss sel_corec_thmss)
33cf557c7849 name tuning
blanchet
parents: 49585
diff changeset
  1155
            (map3 flat_corec_like_thms safe_unfold_thmss disc_unfold_thmss sel_unfold_thmss);
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1156
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1157
        val anonymous_notes =
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1158
          [(flat safe_unfold_thmss @ flat safe_corec_thmss, simp_attrs)]
49479
504f0a38f608 added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents: 49478
diff changeset
  1159
          |> map (fn (thms, attrs) => ((Binding.empty, attrs), [(thms, [])]));
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49264
diff changeset
  1160
51777
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1161
        val coinduct_consumes_attr = Attrib.internal (K (Rule_Cases.consumes nn));
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1162
        val coinduct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names coinduct_cases));
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1163
        val coinduct_case_concl_attrs =
48a0ae342ea0 generate proper attributes for coinduction rules
blanchet
parents: 51769
diff changeset
  1164
          map2 (fn casex => fn concls =>