src/HOL/Tools/datatype_prop.ML
author wenzelm
Fri, 31 Aug 2001 18:46:48 +0200
changeset 11539 0f17da240450
parent 10911 eb5721204b38
child 11957 f1657e0291ca
permissions -rw-r--r--
tuned headers;
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
     1
(*  Title:      HOL/Tools/datatype_prop.ML
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
     2
    ID:         $Id$
11539
0f17da240450 tuned headers;
wenzelm
parents: 10911
diff changeset
     3
    Author:     Stefan Berghofer, TU Muenchen
0f17da240450 tuned headers;
wenzelm
parents: 10911
diff changeset
     4
    License:    GPL (GNU GENERAL PUBLIC LICENSE)
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
     5
11539
0f17da240450 tuned headers;
wenzelm
parents: 10911
diff changeset
     6
Characteristic properties of datatypes.
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
     7
*)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
     8
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
     9
signature DATATYPE_PROP =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    10
sig
7015
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
    11
  val dtK : int ref
8434
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
    12
  val indexify_names: string list -> string list
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    13
  val make_injs : (int * (string * DatatypeAux.dtyp list *
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    14
    (string * DatatypeAux.dtyp list) list)) list list -> (string * sort) list ->
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    15
      term list list
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    16
  val make_ind : (int * (string * DatatypeAux.dtyp list *
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    17
    (string * DatatypeAux.dtyp list) list)) list list -> (string * sort) list -> term
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    18
  val make_casedists : (int * (string * DatatypeAux.dtyp list *
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    19
    (string * DatatypeAux.dtyp list) list)) list list -> (string * sort) list -> term list
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    20
  val make_primrecs : string list -> (int * (string * DatatypeAux.dtyp list *
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    21
    (string * DatatypeAux.dtyp list) list)) list list -> (string * sort) list ->
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    22
      theory -> term list
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    23
  val make_cases : string list -> (int * (string * DatatypeAux.dtyp list *
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    24
    (string * DatatypeAux.dtyp list) list)) list list -> (string * sort) list ->
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    25
      theory -> term list list
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    26
  val make_distincts : string list -> (int * (string * DatatypeAux.dtyp list *
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    27
    (string * DatatypeAux.dtyp list) list)) list list -> (string * sort) list ->
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    28
      theory -> term list list
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    29
  val make_splits : string list -> (int * (string * DatatypeAux.dtyp list *
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    30
    (string * DatatypeAux.dtyp list) list)) list list -> (string * sort) list ->
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    31
      theory -> (term * term) list
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    32
  val make_case_trrules : string list -> (int * (string * DatatypeAux.dtyp list *
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    33
    (string * DatatypeAux.dtyp list) list)) list list -> ast Syntax.trrule list
9739
8470c4662685 Improved names for size function.
berghofe
parents: 9060
diff changeset
    34
  val make_size : (int * (string * DatatypeAux.dtyp list *
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    35
    (string * DatatypeAux.dtyp list) list)) list list -> (string * sort) list ->
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    36
      theory -> term list
8601
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
    37
  val make_weak_case_congs : string list -> (int * (string * DatatypeAux.dtyp list *
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
    38
    (string * DatatypeAux.dtyp list) list)) list list -> (string * sort) list ->
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
    39
      theory -> term list
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    40
  val make_case_congs : string list -> (int * (string * DatatypeAux.dtyp list *
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    41
    (string * DatatypeAux.dtyp list) list)) list list -> (string * sort) list ->
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    42
      theory -> term list
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    43
  val make_nchotomys : (int * (string * DatatypeAux.dtyp list *
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    44
    (string * DatatypeAux.dtyp list) list)) list list -> (string * sort) list -> term list
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    45
end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    46
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    47
structure DatatypeProp : DATATYPE_PROP =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    48
struct
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    49
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    50
open DatatypeAux;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    51
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    52
(*the kind of distinctiveness axioms depends on number of constructors*)
7015
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
    53
val dtK = ref 7;
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    54
8434
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
    55
fun indexify_names names =
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
    56
  let
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
    57
    fun index (x :: xs) tab =
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
    58
      (case assoc (tab, x) of
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
    59
        None => if x mem xs then (x ^ "1") :: index xs ((x, 2) :: tab) else x :: index xs tab
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
    60
      | Some i => (x ^ Library.string_of_int i) :: index xs ((x, i + 1) :: tab))
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
    61
    | index [] _ = [];
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
    62
  in index names [] end;
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
    63
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    64
fun make_tnames Ts =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    65
  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    66
    fun type_name (TFree (name, _)) = implode (tl (explode name))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    67
      | type_name (Type (name, _)) = 
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    68
          let val name' = Sign.base_name name
8434
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
    69
          in if Syntax.is_identifier name' then name' else "x" end;
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
    70
  in indexify_names (map type_name Ts) end;
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    71
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    72
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    73
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    74
(************************* injectivity of constructors ************************)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    75
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    76
fun make_injs descr sorts =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    77
  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    78
    val descr' = flat descr;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    79
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    80
    fun make_inj T ((cname, cargs), injs) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    81
      if null cargs then injs else
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    82
        let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    83
          val Ts = map (typ_of_dtyp descr' sorts) cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    84
          val constr_t = Const (cname, Ts ---> T);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    85
          val tnames = make_tnames Ts;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    86
          val frees = map Free (tnames ~~ Ts);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    87
          val frees' = map Free ((map ((op ^) o (rpair "'")) tnames) ~~ Ts);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    88
        in (HOLogic.mk_Trueprop (HOLogic.mk_eq
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    89
          (HOLogic.mk_eq (list_comb (constr_t, frees), list_comb (constr_t, frees')),
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    90
           foldr1 (HOLogic.mk_binop "op &")
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    91
             (map HOLogic.mk_eq (frees ~~ frees')))))::injs
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    92
        end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    93
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    94
  in map (fn (d, T) => foldr (make_inj T) (#3 (snd d), []))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    95
    ((hd descr) ~~ take (length (hd descr), get_rec_types descr' sorts))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    96
  end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    97
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    98
(********************************* induction **********************************)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
    99
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   100
fun make_ind descr sorts =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   101
  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   102
    val descr' = flat descr;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   103
    val recTs = get_rec_types descr' sorts;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   104
    val pnames = if length descr' = 1 then ["P"]
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   105
      else map (fn i => "P" ^ string_of_int i) (1 upto length descr');
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   106
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   107
    fun make_pred i T =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   108
      let val T' = T --> HOLogic.boolT
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   109
      in Free (nth_elem (i, pnames), T') end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   110
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   111
    fun make_ind_prem k T (cname, cargs) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   112
      let
7015
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   113
        fun mk_prem ((DtRec k, s), T) = HOLogic.mk_Trueprop
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   114
              (make_pred k T $ Free (s, T))
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   115
          | mk_prem ((DtType ("fun", [_, DtRec k]), s), T' as Type ("fun", [T, U])) =
10911
eb5721204b38 proper induction rule for arbitrarily branching datatype;
wenzelm
parents: 10214
diff changeset
   116
              (Const (InductivePackage.inductive_forall_name,
eb5721204b38 proper induction rule for arbitrarily branching datatype;
wenzelm
parents: 10214
diff changeset
   117
                  [T --> HOLogic.boolT] ---> HOLogic.boolT) $
eb5721204b38 proper induction rule for arbitrarily branching datatype;
wenzelm
parents: 10214
diff changeset
   118
                Abs ("x", T, make_pred k U $ (Free (s, T') $ Bound 0))) |> HOLogic.mk_Trueprop;
7015
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   119
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   120
        val recs = filter is_rec_type cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   121
        val Ts = map (typ_of_dtyp descr' sorts) cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   122
        val recTs' = map (typ_of_dtyp descr' sorts) recs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   123
        val tnames = variantlist (make_tnames Ts, pnames);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   124
        val rec_tnames = map fst (filter (is_rec_type o snd) (tnames ~~ cargs));
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   125
        val frees = tnames ~~ Ts;
7015
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   126
        val prems = map mk_prem (recs ~~ rec_tnames ~~ recTs');
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   127
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   128
      in list_all_free (frees, Logic.list_implies (prems,
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   129
        HOLogic.mk_Trueprop (make_pred k T $ 
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   130
          list_comb (Const (cname, Ts ---> T), map Free frees))))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   131
      end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   132
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   133
    val prems = flat (map (fn ((i, (_, _, constrs)), T) =>
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   134
      map (make_ind_prem i T) constrs) (descr' ~~ recTs));
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   135
    val tnames = make_tnames recTs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   136
    val concl = HOLogic.mk_Trueprop (foldr1 (HOLogic.mk_binop "op &")
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   137
      (map (fn (((i, _), T), tname) => make_pred i T $ Free (tname, T))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   138
        (descr' ~~ recTs ~~ tnames)))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   139
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   140
  in Logic.list_implies (prems, concl) end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   141
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   142
(******************************* case distinction *****************************)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   143
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   144
fun make_casedists descr sorts =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   145
  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   146
    val descr' = flat descr;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   147
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   148
    fun make_casedist_prem T (cname, cargs) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   149
      let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   150
        val Ts = map (typ_of_dtyp descr' sorts) cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   151
        val frees = variantlist (make_tnames Ts, ["P", "y"]) ~~ Ts;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   152
        val free_ts = map Free frees
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   153
      in list_all_free (frees, Logic.mk_implies (HOLogic.mk_Trueprop
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   154
        (HOLogic.mk_eq (Free ("y", T), list_comb (Const (cname, Ts ---> T), free_ts))),
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   155
          HOLogic.mk_Trueprop (Free ("P", HOLogic.boolT))))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   156
      end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   157
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   158
    fun make_casedist ((_, (_, _, constrs)), T) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   159
      let val prems = map (make_casedist_prem T) constrs
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   160
      in Logic.list_implies (prems, HOLogic.mk_Trueprop (Free ("P", HOLogic.boolT)))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   161
      end
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   162
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   163
  in map make_casedist
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   164
    ((hd descr) ~~ take (length (hd descr), get_rec_types descr' sorts))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   165
  end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   166
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   167
(*************** characteristic equations for primrec combinator **************)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   168
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   169
fun make_primrecs new_type_names descr sorts thy =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   170
  let
7015
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   171
    val o_name = Sign.intern_const (sign_of Fun.thy) "op o";
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   172
6394
3d9fd50fcc43 Theory.sign_of;
wenzelm
parents: 5695
diff changeset
   173
    val sign = Theory.sign_of thy;
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   174
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   175
    val descr' = flat descr;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   176
    val recTs = get_rec_types descr' sorts;
5578
7de426cf179c Package now chooses type variable names more carefully to
berghofe
parents: 5177
diff changeset
   177
    val used = foldr add_typ_tfree_names (recTs, []);
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   178
5578
7de426cf179c Package now chooses type variable names more carefully to
berghofe
parents: 5177
diff changeset
   179
    val rec_result_Ts = map TFree (variantlist (replicate (length descr') "'t", used) ~~
7de426cf179c Package now chooses type variable names more carefully to
berghofe
parents: 5177
diff changeset
   180
      replicate (length descr') HOLogic.termS);
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   181
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   182
    val reccomb_fn_Ts = flat (map (fn (i, (_, _, constrs)) =>
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   183
      map (fn (_, cargs) =>
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   184
        let
7015
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   185
          val Ts = map (typ_of_dtyp descr' sorts) cargs;
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   186
          val recs = filter (is_rec_type o fst) (cargs ~~ Ts);
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   187
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   188
          fun mk_argT (DtRec k, _) = nth_elem (k, rec_result_Ts)
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   189
            | mk_argT (DtType ("fun", [_, DtRec k]), Type ("fun", [T, _])) =
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   190
               T --> nth_elem (k, rec_result_Ts);
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   191
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   192
          val argTs = Ts @ map mk_argT recs
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   193
        in argTs ---> nth_elem (i, rec_result_Ts)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   194
        end) constrs) descr');
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   195
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   196
    val rec_fns = map (uncurry (mk_Free "f"))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   197
      (reccomb_fn_Ts ~~ (1 upto (length reccomb_fn_Ts)));
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   198
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   199
    val big_reccomb_name = (space_implode "_" new_type_names) ^ "_rec";
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   200
    val reccomb_names = map (Sign.intern_const sign)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   201
      (if length descr' = 1 then [big_reccomb_name] else
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   202
        (map ((curry (op ^) (big_reccomb_name ^ "_")) o string_of_int)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   203
          (1 upto (length descr'))));
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   204
    val reccombs = map (fn ((name, T), T') => list_comb
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   205
      (Const (name, reccomb_fn_Ts @ [T] ---> T'), rec_fns))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   206
        (reccomb_names ~~ recTs ~~ rec_result_Ts);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   207
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   208
    fun make_primrec T comb_t ((ts, f::fs), (cname, cargs)) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   209
      let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   210
        val recs = filter is_rec_type cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   211
        val Ts = map (typ_of_dtyp descr' sorts) cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   212
        val recTs' = map (typ_of_dtyp descr' sorts) recs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   213
        val tnames = make_tnames Ts;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   214
        val rec_tnames = map fst (filter (is_rec_type o snd) (tnames ~~ cargs));
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   215
        val frees = map Free (tnames ~~ Ts);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   216
        val frees' = map Free (rec_tnames ~~ recTs');
7015
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   217
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   218
        fun mk_reccomb (DtRec i, _) = nth_elem (i, reccombs)
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   219
          | mk_reccomb (DtType ("fun", [_, DtRec i]), Type ("fun", [T, U])) =
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   220
              let val T' = nth_elem (i, rec_result_Ts)
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   221
              in Const (o_name, [U --> T', T --> U, T] ---> T') $ nth_elem (i, reccombs)
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   222
              end;
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   223
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   224
        val reccombs' = map mk_reccomb (recs ~~ recTs')
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   225
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   226
      in (ts @ [HOLogic.mk_Trueprop (HOLogic.mk_eq
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   227
        (comb_t $ list_comb (Const (cname, Ts ---> T), frees),
7704
9a6783fdb9a5 eliminated ap/app;
wenzelm
parents: 7015
diff changeset
   228
         list_comb (f, frees @ (map (op $) (reccombs' ~~ frees')))))], fs)
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   229
      end
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   230
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   231
  in fst (foldl (fn (x, ((dt, T), comb_t)) =>
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   232
    foldl (make_primrec T comb_t) (x, #3 (snd dt)))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   233
      (([], rec_fns), descr' ~~ recTs ~~ reccombs))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   234
  end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   235
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   236
(****************** make terms of form  t_case f1 ... fn  *********************)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   237
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   238
fun make_case_combs new_type_names descr sorts thy fname =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   239
  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   240
    val descr' = flat descr;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   241
    val recTs = get_rec_types descr' sorts;
5578
7de426cf179c Package now chooses type variable names more carefully to
berghofe
parents: 5177
diff changeset
   242
    val used = foldr add_typ_tfree_names (recTs, []);
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   243
    val newTs = take (length (hd descr), recTs);
5578
7de426cf179c Package now chooses type variable names more carefully to
berghofe
parents: 5177
diff changeset
   244
    val T' = TFree (variant used "'t", HOLogic.termS);
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   245
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   246
    val case_fn_Ts = map (fn (i, (_, _, constrs)) =>
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   247
      map (fn (_, cargs) =>
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   248
        let val Ts = map (typ_of_dtyp descr' sorts) cargs
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   249
        in Ts ---> T' end) constrs) (hd descr);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   250
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   251
    val case_names = map (fn s =>
6394
3d9fd50fcc43 Theory.sign_of;
wenzelm
parents: 5695
diff changeset
   252
      Sign.intern_const (Theory.sign_of thy) (s ^ "_case")) new_type_names
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   253
  in
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   254
    map (fn ((name, Ts), T) => list_comb
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   255
      (Const (name, Ts @ [T] ---> T'),
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   256
        map (uncurry (mk_Free fname)) (Ts ~~ (1 upto length Ts))))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   257
          (case_names ~~ case_fn_Ts ~~ newTs)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   258
  end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   259
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   260
(**************** characteristic equations for case combinator ****************)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   261
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   262
fun make_cases new_type_names descr sorts thy =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   263
  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   264
    val descr' = flat descr;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   265
    val recTs = get_rec_types descr' sorts;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   266
    val newTs = take (length (hd descr), recTs);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   267
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   268
    fun make_case T comb_t ((cname, cargs), f) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   269
      let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   270
        val Ts = map (typ_of_dtyp descr' sorts) cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   271
        val frees = map Free ((make_tnames Ts) ~~ Ts)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   272
      in HOLogic.mk_Trueprop (HOLogic.mk_eq
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   273
        (comb_t $ list_comb (Const (cname, Ts ---> T), frees),
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   274
         list_comb (f, frees)))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   275
      end
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   276
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   277
  in map (fn (((_, (_, _, constrs)), T), comb_t) =>
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   278
    map (make_case T comb_t) (constrs ~~ (snd (strip_comb comb_t))))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   279
      ((hd descr) ~~ newTs ~~ (make_case_combs new_type_names descr sorts thy "f"))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   280
  end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   281
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   282
(************************* distinctness of constructors ***********************)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   283
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   284
fun make_distincts new_type_names descr sorts thy =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   285
  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   286
    val descr' = flat descr;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   287
    val recTs = get_rec_types descr' sorts;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   288
    val newTs = take (length (hd descr), recTs);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   289
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   290
    (**** number of constructors < dtK : C_i ... ~= C_j ... ****)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   291
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   292
    fun make_distincts_1 _ [] = []
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   293
      | make_distincts_1 T ((cname, cargs)::constrs) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   294
          let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   295
            val Ts = map (typ_of_dtyp descr' sorts) cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   296
            val frees = map Free ((make_tnames Ts) ~~ Ts);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   297
            val t = list_comb (Const (cname, Ts ---> T), frees);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   298
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   299
            fun make_distincts' [] = []
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   300
              | make_distincts' ((cname', cargs')::constrs') =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   301
                  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   302
                    val Ts' = map (typ_of_dtyp descr' sorts) cargs';
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   303
                    val frees' = map Free ((map ((op ^) o (rpair "'"))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   304
                      (make_tnames Ts')) ~~ Ts');
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   305
                    val t' = list_comb (Const (cname', Ts' ---> T), frees')
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   306
                  in
8434
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
   307
                    (HOLogic.mk_Trueprop (HOLogic.Not $ HOLogic.mk_eq (t, t')))::
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
   308
                    (HOLogic.mk_Trueprop (HOLogic.Not $ HOLogic.mk_eq (t', t)))::
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   309
                      (make_distincts' constrs')
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   310
                  end
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   311
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   312
          in (make_distincts' constrs) @ (make_distincts_1 T constrs)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   313
          end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   314
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   315
  in map (fn (((_, (_, _, constrs)), T), tname) =>
7015
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   316
      if length constrs < !dtK then make_distincts_1 T constrs else [])
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   317
        ((hd descr) ~~ newTs ~~ new_type_names)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   318
  end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   319
7015
85be09eb136c - Datatype package now also supports arbitrarily branching datatypes
berghofe
parents: 6394
diff changeset
   320
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   321
(*************************** the "split" - equations **************************)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   322
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   323
fun make_splits new_type_names descr sorts thy =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   324
  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   325
    val descr' = flat descr;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   326
    val recTs = get_rec_types descr' sorts;
5578
7de426cf179c Package now chooses type variable names more carefully to
berghofe
parents: 5177
diff changeset
   327
    val used' = foldr add_typ_tfree_names (recTs, []);
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   328
    val newTs = take (length (hd descr), recTs);
5578
7de426cf179c Package now chooses type variable names more carefully to
berghofe
parents: 5177
diff changeset
   329
    val T' = TFree (variant used' "'t", HOLogic.termS);
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   330
    val P = Free ("P", T' --> HOLogic.boolT);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   331
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   332
    fun make_split (((_, (_, _, constrs)), T), comb_t) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   333
      let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   334
        val (_, fs) = strip_comb comb_t;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   335
        val used = ["P", "x"] @ (map (fst o dest_Free) fs);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   336
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   337
        fun process_constr (((cname, cargs), f), (t1s, t2s)) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   338
          let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   339
            val Ts = map (typ_of_dtyp descr' sorts) cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   340
            val frees = map Free (variantlist (make_tnames Ts, used) ~~ Ts);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   341
            val eqn = HOLogic.mk_eq (Free ("x", T),
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   342
              list_comb (Const (cname, Ts ---> T), frees));
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   343
            val P' = P $ list_comb (f, frees)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   344
          in ((foldr (fn (Free (s, T), t) => HOLogic.mk_all (s, T, t))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   345
                (frees, HOLogic.imp $ eqn $ P'))::t1s,
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   346
              (foldr (fn (Free (s, T), t) => HOLogic.mk_exists (s, T, t))
8434
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
   347
                (frees, HOLogic.conj $ eqn $ (HOLogic.Not $ P')))::t2s)
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   348
          end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   349
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   350
        val (t1s, t2s) = foldr process_constr (constrs ~~ fs, ([], []));
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   351
        val lhs = P $ (comb_t $ Free ("x", T))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   352
      in
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   353
        (HOLogic.mk_Trueprop (HOLogic.mk_eq (lhs, mk_conj t1s)),
8434
5e4bba59bfaa use HOLogic.Not;
wenzelm
parents: 7704
diff changeset
   354
         HOLogic.mk_Trueprop (HOLogic.mk_eq (lhs, HOLogic.Not $ mk_disj t2s)))
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   355
      end
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   356
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   357
  in map make_split ((hd descr) ~~ newTs ~~
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   358
    (make_case_combs new_type_names descr sorts thy "f"))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   359
  end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   360
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   361
(************************ translation rules for case **************************)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   362
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   363
fun make_case_trrules new_type_names descr =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   364
  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   365
    fun mk_asts i j ((cname, cargs)::constrs) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   366
      let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   367
        val k = length cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   368
        val xs = map (fn i => Variable ("x" ^ string_of_int i)) (i upto i + k - 1);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   369
        val t = Variable ("t" ^ string_of_int j);
9060
b0dd884b1848 rename @case to _case_syntax (improves on low-level errors);
wenzelm
parents: 8601
diff changeset
   370
        val ast = Syntax.mk_appl (Constant "_case1")
5695
898429dbb162 fixed Syntax module;
wenzelm
parents: 5578
diff changeset
   371
          [Syntax.mk_appl (Constant (Sign.base_name cname)) xs, t];
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   372
        val ast' = foldr (fn (x, y) =>
5695
898429dbb162 fixed Syntax module;
wenzelm
parents: 5578
diff changeset
   373
          Syntax.mk_appl (Constant "_abs") [x, y]) (xs, t)
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   374
      in
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   375
        (case constrs of
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   376
            [] => (ast, [ast'])
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   377
          | cs => let val (ast'', asts) = mk_asts (i + k) (j + 1) cs
9060
b0dd884b1848 rename @case to _case_syntax (improves on low-level errors);
wenzelm
parents: 8601
diff changeset
   378
              in (Syntax.mk_appl (Constant "_case2") [ast, ast''],
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   379
                  ast'::asts)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   380
              end)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   381
      end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   382
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   383
    fun mk_trrule ((_, (_, _, constrs)), tname) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   384
      let val (ast, asts) = mk_asts 1 1 constrs
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   385
      in Syntax.ParsePrintRule
9060
b0dd884b1848 rename @case to _case_syntax (improves on low-level errors);
wenzelm
parents: 8601
diff changeset
   386
        (Syntax.mk_appl (Constant "_case_syntax") [Variable "t", ast],
5695
898429dbb162 fixed Syntax module;
wenzelm
parents: 5578
diff changeset
   387
         Syntax.mk_appl (Constant (tname ^ "_case"))
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   388
           (asts @ [Variable "t"]))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   389
      end
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   390
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   391
  in
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   392
    map mk_trrule (hd descr ~~ new_type_names)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   393
  end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   394
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   395
(******************************* size functions *******************************)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   396
9739
8470c4662685 Improved names for size function.
berghofe
parents: 9060
diff changeset
   397
fun make_size descr sorts thy =
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   398
  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   399
    val descr' = flat descr;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   400
    val recTs = get_rec_types descr' sorts;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   401
10214
77349ed89f45 *** empty log message ***
nipkow
parents: 10212
diff changeset
   402
    val size_name = Sign.intern_const (Theory.sign_of (theory "NatArith")) "size";
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   403
    val size_names = replicate (length (hd descr)) size_name @
9739
8470c4662685 Improved names for size function.
berghofe
parents: 9060
diff changeset
   404
      map (Sign.intern_const (Theory.sign_of thy)) (indexify_names
8470c4662685 Improved names for size function.
berghofe
parents: 9060
diff changeset
   405
        (map (fn T => name_of_typ T ^ "_size") (drop (length (hd descr), recTs))));
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   406
    val size_consts = map (fn (s, T) =>
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   407
      Const (s, T --> HOLogic.natT)) (size_names ~~ recTs);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   408
7704
9a6783fdb9a5 eliminated ap/app;
wenzelm
parents: 7015
diff changeset
   409
    fun plus (t1, t2) = Const ("op +", [HOLogic.natT, HOLogic.natT] ---> HOLogic.natT) $ t1 $ t2;
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   410
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   411
    fun make_size_eqn size_const T (cname, cargs) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   412
      let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   413
        val recs = filter is_rec_type cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   414
        val Ts = map (typ_of_dtyp descr' sorts) cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   415
        val recTs = map (typ_of_dtyp descr' sorts) recs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   416
        val tnames = make_tnames Ts;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   417
        val rec_tnames = map fst (filter (is_rec_type o snd) (tnames ~~ cargs));
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   418
        val ts = map (fn ((r, s), T) => nth_elem (dest_DtRec r, size_consts) $
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   419
          Free (s, T)) (recs ~~ rec_tnames ~~ recTs);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   420
        val t = if ts = [] then HOLogic.zero else
7704
9a6783fdb9a5 eliminated ap/app;
wenzelm
parents: 7015
diff changeset
   421
          foldl1 plus (ts @ [HOLogic.mk_nat 1])
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   422
      in
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   423
        HOLogic.mk_Trueprop (HOLogic.mk_eq (size_const $
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   424
          list_comb (Const (cname, Ts ---> T), map Free (tnames ~~ Ts)), t))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   425
      end
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   426
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   427
  in
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   428
    flat (map (fn (((_, (_, _, constrs)), size_const), T) =>
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   429
      map (make_size_eqn size_const T) constrs) (descr' ~~ size_consts ~~ recTs))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   430
  end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   431
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   432
(************************* additional rules for TFL ***************************)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   433
8601
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   434
fun make_weak_case_congs new_type_names descr sorts thy =
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   435
  let
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   436
    val case_combs = make_case_combs new_type_names descr sorts thy "f";
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   437
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   438
    fun mk_case_cong comb =
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   439
      let 
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   440
        val Type ("fun", [T, _]) = fastype_of comb;
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   441
        val M = Free ("M", T);
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   442
        val M' = Free ("M'", T);
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   443
      in
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   444
        Logic.mk_implies (HOLogic.mk_Trueprop (HOLogic.mk_eq (M, M')),
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   445
          HOLogic.mk_Trueprop (HOLogic.mk_eq (comb $ M, comb $ M')))
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   446
      end
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   447
  in
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   448
    map mk_case_cong case_combs
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   449
  end;
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   450
 
8fb3a81b4ccf added weak_case_cong feature
nipkow
parents: 8434
diff changeset
   451
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   452
(*---------------------------------------------------------------------------
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   453
 * Structure of case congruence theorem looks like this:
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   454
 *
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   455
 *    (M = M') 
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   456
 *    ==> (!!x1,...,xk. (M' = C1 x1..xk) ==> (f1 x1..xk = g1 x1..xk)) 
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   457
 *    ==> ... 
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   458
 *    ==> (!!x1,...,xj. (M' = Cn x1..xj) ==> (fn x1..xj = gn x1..xj)) 
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   459
 *    ==>
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   460
 *      (ty_case f1..fn M = ty_case g1..gn M')
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   461
 *---------------------------------------------------------------------------*)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   462
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   463
fun make_case_congs new_type_names descr sorts thy =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   464
  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   465
    val case_combs = make_case_combs new_type_names descr sorts thy "f";
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   466
    val case_combs' = make_case_combs new_type_names descr sorts thy "g";
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   467
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   468
    fun mk_case_cong ((comb, comb'), (_, (_, _, constrs))) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   469
      let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   470
        val Type ("fun", [T, _]) = fastype_of comb;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   471
        val (_, fs) = strip_comb comb;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   472
        val (_, gs) = strip_comb comb';
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   473
        val used = ["M", "M'"] @ map (fst o dest_Free) (fs @ gs);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   474
        val M = Free ("M", T);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   475
        val M' = Free ("M'", T);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   476
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   477
        fun mk_clause ((f, g), (cname, _)) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   478
          let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   479
            val (Ts, _) = strip_type (fastype_of f);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   480
            val tnames = variantlist (make_tnames Ts, used);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   481
            val frees = map Free (tnames ~~ Ts)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   482
          in
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   483
            list_all_free (tnames ~~ Ts, Logic.mk_implies
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   484
              (HOLogic.mk_Trueprop
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   485
                (HOLogic.mk_eq (M', list_comb (Const (cname, Ts ---> T), frees))),
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   486
               HOLogic.mk_Trueprop
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   487
                (HOLogic.mk_eq (list_comb (f, frees), list_comb (g, frees)))))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   488
          end
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   489
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   490
      in
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   491
        Logic.list_implies (HOLogic.mk_Trueprop (HOLogic.mk_eq (M, M')) ::
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   492
          map mk_clause (fs ~~ gs ~~ constrs),
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   493
            HOLogic.mk_Trueprop (HOLogic.mk_eq (comb $ M, comb' $ M')))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   494
      end
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   495
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   496
  in
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   497
    map mk_case_cong (case_combs ~~ case_combs' ~~ hd descr)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   498
  end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   499
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   500
(*---------------------------------------------------------------------------
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   501
 * Structure of exhaustion theorem looks like this:
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   502
 *
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   503
 *    !v. (? y1..yi. v = C1 y1..yi) | ... | (? y1..yj. v = Cn y1..yj)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   504
 *---------------------------------------------------------------------------*)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   505
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   506
fun make_nchotomys descr sorts =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   507
  let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   508
    val descr' = flat descr;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   509
    val recTs = get_rec_types descr' sorts;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   510
    val newTs = take (length (hd descr), recTs);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   511
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   512
    fun mk_eqn T (cname, cargs) =
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   513
      let
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   514
        val Ts = map (typ_of_dtyp descr' sorts) cargs;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   515
        val tnames = variantlist (make_tnames Ts, ["v"]);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   516
        val frees = tnames ~~ Ts
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   517
      in
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   518
        foldr (fn ((s, T'), t) => HOLogic.mk_exists (s, T', t))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   519
          (frees, HOLogic.mk_eq (Free ("v", T),
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   520
            list_comb (Const (cname, Ts ---> T), map Free frees)))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   521
      end
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   522
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   523
  in map (fn ((_, (_, _, constrs)), T) =>
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   524
    HOLogic.mk_Trueprop (HOLogic.mk_all ("v", T, mk_disj (map (mk_eqn T) constrs))))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   525
      (hd descr ~~ newTs)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   526
  end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   527
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   528
end;