src/HOL/Tools/split_rule.ML
author skalberg
Fri, 04 Mar 2005 15:07:34 +0100
changeset 15574 b1d1b5bfc464
parent 15570 8d8c70b41bab
child 15661 9ef583b08647
permissions -rw-r--r--
Removed practically all references to Library.foldr.
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
     1
(*  Title:      Tools/split_rule.ML
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
     2
    ID:         $Id$
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
     3
    Author:     Stefan Berghofer, David von Oheimb, and Markus Wenzel, TU Muenchen
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
     4
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14981
diff changeset
     5
SOME tools for managing tupled arguments and abstractions in rules.
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
     6
*)
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
     7
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
     8
signature BASIC_SPLIT_RULE =
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
     9
sig
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    10
  val split_rule: thm -> thm
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    11
  val complete_split_rule: thm -> thm
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    12
end;
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    13
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    14
signature SPLIT_RULE =
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    15
sig
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    16
  include BASIC_SPLIT_RULE
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    17
  val split_rule_var: term * thm -> thm
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    18
  val split_rule_goal: string list list -> thm -> thm
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    19
  val setup: (theory -> theory) list
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    20
end;
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    21
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    22
structure SplitRule: SPLIT_RULE =
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    23
struct
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    24
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    25
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    26
(** theory context references **)
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    27
11838
02d75712061d got rid of ML proof scripts for Product_Type;
wenzelm
parents: 11045
diff changeset
    28
val split_conv = thm "split_conv";
02d75712061d got rid of ML proof scripts for Product_Type;
wenzelm
parents: 11045
diff changeset
    29
val fst_conv = thm "fst_conv";
02d75712061d got rid of ML proof scripts for Product_Type;
wenzelm
parents: 11045
diff changeset
    30
val snd_conv = thm "snd_conv";
02d75712061d got rid of ML proof scripts for Product_Type;
wenzelm
parents: 11045
diff changeset
    31
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    32
fun internal_split_const (Ta, Tb, Tc) =
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    33
  Const ("Product_Type.internal_split", [[Ta, Tb] ---> Tc, HOLogic.mk_prodT (Ta, Tb)] ---> Tc);
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    34
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    35
val internal_split_def = thm "internal_split_def";
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    36
val internal_split_conv = thm "internal_split_conv";
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    37
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    38
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    39
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    40
(** split rules **)
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    41
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    42
val eval_internal_split = hol_simplify [internal_split_def] o hol_simplify [internal_split_conv];
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    43
val remove_internal_split = eval_internal_split o split_all;
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    44
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    45
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    46
(*In ap_split S T u, term u expects separate arguments for the factors of S,
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    47
  with result type T.  The call creates a new term expecting one argument
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    48
  of type S.*)
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    49
fun ap_split (Type ("*", [T1, T2])) T3 u =
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    50
      internal_split_const (T1, T2, T3) $
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    51
      Abs ("v", T1,
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    52
          ap_split T2 T3
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    53
             ((ap_split T1 (HOLogic.prodT_factors T2 ---> T3) (incr_boundvars 1 u)) $
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    54
              Bound 0))
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    55
  | ap_split T T3 u = u;
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    56
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    57
(*Curries any Var of function type in the rule*)
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    58
fun split_rule_var' (t as Var (v, Type ("fun", [T1, T2])), rl) =
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    59
      let val T' = HOLogic.prodT_factors T1 ---> T2;
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    60
          val newt = ap_split T1 T2 (Var (v, T'));
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    61
          val cterm = Thm.cterm_of (#sign (Thm.rep_thm rl));
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    62
      in Thm.instantiate ([], [(cterm t, cterm newt)]) rl end
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    63
  | split_rule_var' (t, rl) = rl;
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    64
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    65
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    66
(* complete splitting of partially splitted rules *)
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    67
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    68
fun ap_split' (T::Ts) U u = Abs ("v", T, ap_split' Ts U
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
    69
      (ap_split T (List.concat (map HOLogic.prodT_factors Ts) ---> U)
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    70
        (incr_boundvars 1 u) $ Bound 0))
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    71
  | ap_split' _ _ u = u;
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    72
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    73
fun complete_split_rule_var ((t as Var (v, T), ts), (rl, vs)) =
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    74
      let
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    75
        val cterm = Thm.cterm_of (#sign (Thm.rep_thm rl))
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    76
        val (Us', U') = strip_type T;
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
    77
        val Us = Library.take (length ts, Us');
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
    78
        val U = Library.drop (length ts, Us') ---> U';
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
    79
        val T' = List.concat (map HOLogic.prodT_factors Us) ---> U;
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    80
        fun mk_tuple ((xs, insts), v as Var ((a, _), T)) =
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    81
              let
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    82
                val Ts = HOLogic.prodT_factors T;
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    83
                val ys = Term.variantlist (replicate (length Ts) a, xs);
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    84
              in (xs @ ys, (cterm v, cterm (HOLogic.mk_tuple T
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    85
                (map (Var o apfst (rpair 0)) (ys ~~ Ts))))::insts)
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    86
              end
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    87
          | mk_tuple (x, _) = x;
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    88
        val newt = ap_split' Us U (Var (v, T'));
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
    89
        val cterm = Thm.cterm_of (#sign (Thm.rep_thm rl));
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
    90
        val (vs', insts) = Library.foldl mk_tuple ((vs, []), ts);
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    91
      in
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    92
        (instantiate ([], [(cterm t, cterm newt)] @ insts) rl, vs')
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    93
      end
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    94
  | complete_split_rule_var (_, x) = x;
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    95
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    96
fun collect_vars (vs, Abs (_, _, t)) = collect_vars (vs, t)
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    97
  | collect_vars (vs, t) = (case strip_comb t of
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
    98
        (v as Var _, ts) => (v, ts)::vs
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
    99
      | (t, ts) => Library.foldl collect_vars (vs, ts));
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
   100
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   101
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   102
val split_rule_var = Drule.standard o remove_internal_split o split_rule_var';
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
   103
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   104
(*curries ALL function variables occurring in a rule's conclusion*)
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   105
fun split_rule rl =
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   106
  foldr split_rule_var' rl (Term.term_vars (concl_of rl))
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   107
  |> remove_internal_split
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   108
  |> Drule.standard;
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
   109
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
   110
fun complete_split_rule rl =
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   111
  fst (foldr complete_split_rule_var
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   112
    (rl, map (fst o fst o dest_Var) (Term.term_vars (#prop (Thm.rep_thm rl))))
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   113
    (collect_vars ([], concl_of rl)))
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   114
  |> remove_internal_split
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   115
  |> Drule.standard
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   116
  |> RuleCases.save rl;
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   117
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   118
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   119
val split_rule_ss = HOL_basic_ss addsimps [split_conv, fst_conv, snd_conv];
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   120
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   121
fun split_rule_goal xss rl =
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   122
  let
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   123
    fun one_split i (th, s) = Tactic.rule_by_tactic (pair_tac s i) th;
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   124
    fun one_goal (xs, i) th = Library.foldl (one_split i) (th, xs);
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   125
  in
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   126
    Drule.standard (Simplifier.full_simplify split_rule_ss (Library.foldln one_goal xss rl))
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   127
    |> RuleCases.save rl
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   128
  end;
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   129
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   130
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   131
(* attribute syntax *)
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   132
11040
194406da4e43 simplified 'split_format' syntax;
wenzelm
parents: 11037
diff changeset
   133
fun split_format x = Attrib.syntax
11045
971a50fda146 fixed syntax of 'split_format';
wenzelm
parents: 11040
diff changeset
   134
  (Scan.lift (Args.parens (Args.$$$ "complete"))
971a50fda146 fixed syntax of 'split_format';
wenzelm
parents: 11040
diff changeset
   135
    >> K (Drule.rule_attribute (K complete_split_rule)) ||
971a50fda146 fixed syntax of 'split_format';
wenzelm
parents: 11040
diff changeset
   136
  Args.and_list1 (Scan.lift (Scan.repeat Args.name))
971a50fda146 fixed syntax of 'split_format';
wenzelm
parents: 11040
diff changeset
   137
    >> (fn xss => Drule.rule_attribute (K (split_rule_goal xss)))) x;
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   138
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   139
val setup =
11040
194406da4e43 simplified 'split_format' syntax;
wenzelm
parents: 11037
diff changeset
   140
 [Attrib.add_attributes
194406da4e43 simplified 'split_format' syntax;
wenzelm
parents: 11037
diff changeset
   141
  [("split_format", (split_format, split_format),
194406da4e43 simplified 'split_format' syntax;
wenzelm
parents: 11037
diff changeset
   142
    "split pair-typed subterms in premises, or function arguments")]];
11025
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
   143
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
   144
end;
a70b796d9af8 converted to Isar therory, adding attributes complete_split and split_format
oheimb
parents:
diff changeset
   145
11037
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   146
structure BasicSplitRule: BASIC_SPLIT_RULE = SplitRule;
37716a82a3d9 module setup;
wenzelm
parents: 11025
diff changeset
   147
open BasicSplitRule;