src/HOL/Tools/Function/measure_functions.ML
author haftmann
Tue, 24 Nov 2009 17:28:25 +0100
changeset 33955 fff6f11b1f09
parent 32603 e08fdd615333
child 34232 36a2a3029fd3
permissions -rw-r--r--
curried take/drop
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
31775
2b04504fcb69 uniformly capitialized names for subdirectories
haftmann
parents: 26875
diff changeset
     1
(*  Title:       HOL/Tools/Function/measure_functions.ML
26875
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
     2
    Author:      Alexander Krauss, TU Muenchen
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
     3
31902
862ae16a799d renamed NamedThmsFun to Named_Thms;
wenzelm
parents: 31775
diff changeset
     4
Measure functions, generated heuristically.
26875
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
     5
*)
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
     6
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
     7
signature MEASURE_FUNCTIONS =
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
     8
sig
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
     9
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    10
  val get_measure_functions : Proof.context -> typ -> term list
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    11
  val setup : theory -> theory                                                      
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    12
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    13
end
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    14
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    15
structure MeasureFunctions : MEASURE_FUNCTIONS = 
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    16
struct 
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    17
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    18
(** User-declared size functions **)
31902
862ae16a799d renamed NamedThmsFun to Named_Thms;
wenzelm
parents: 31775
diff changeset
    19
structure Measure_Heuristic_Rules = Named_Thms
862ae16a799d renamed NamedThmsFun to Named_Thms;
wenzelm
parents: 31775
diff changeset
    20
(
26875
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    21
  val name = "measure_function" 
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    22
  val description = "Rules that guide the heuristic generation of measure functions"
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    23
);
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    24
32603
e08fdd615333 tuned const_name antiquotations
haftmann
parents: 31902
diff changeset
    25
fun mk_is_measures t = Const (@{const_name is_measure}, fastype_of t --> HOLogic.boolT) $ t
26875
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    26
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    27
fun find_measures ctxt T =
31902
862ae16a799d renamed NamedThmsFun to Named_Thms;
wenzelm
parents: 31775
diff changeset
    28
  DEPTH_SOLVE (resolve_tac (Measure_Heuristic_Rules.get ctxt) 1) 
26875
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    29
    (HOLogic.mk_Trueprop (mk_is_measures (Var (("f",0), T --> HOLogic.natT)))
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    30
      |> cterm_of (ProofContext.theory_of ctxt) |> Goal.init)
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    31
  |> Seq.map (prop_of #> (fn _ $ (_ $ (_ $ f)) => f))
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    32
  |> Seq.list_of
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    33
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    34
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    35
(** Generating Measure Functions **)
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    36
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    37
fun constant_0 T = Abs ("x", T, HOLogic.zero)
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    38
fun constant_1 T = Abs ("x", T, HOLogic.Suc_zero)
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    39
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    40
fun mk_funorder_funs (Type ("+", [fT, sT])) =
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    41
      map (fn m => SumTree.mk_sumcase fT sT HOLogic.natT m (constant_0 sT)) (mk_funorder_funs fT)
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    42
    @ map (fn m => SumTree.mk_sumcase fT sT HOLogic.natT (constant_0 fT) m) (mk_funorder_funs sT)
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    43
  | mk_funorder_funs T = [ constant_1 T ]
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    44
31902
862ae16a799d renamed NamedThmsFun to Named_Thms;
wenzelm
parents: 31775
diff changeset
    45
fun mk_ext_base_funs ctxt (Type ("+", [fT, sT])) =
26875
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    46
      map_product (SumTree.mk_sumcase fT sT HOLogic.natT)
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    47
                  (mk_ext_base_funs ctxt fT) (mk_ext_base_funs ctxt sT)
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    48
  | mk_ext_base_funs ctxt T = find_measures ctxt T
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    49
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    50
fun mk_all_measure_funs ctxt (T as Type ("+", _)) =
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    51
    mk_ext_base_funs ctxt T @ mk_funorder_funs T
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    52
  | mk_all_measure_funs ctxt T = find_measures ctxt T
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    53
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    54
val get_measure_functions = mk_all_measure_funs
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    55
31902
862ae16a799d renamed NamedThmsFun to Named_Thms;
wenzelm
parents: 31775
diff changeset
    56
val setup = Measure_Heuristic_Rules.setup
26875
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    57
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    58
end
e18574413bc4 Measure functions can now be declared via special rules, allowing for a
krauss
parents:
diff changeset
    59