| author | haftmann | 
| Mon, 26 Apr 2010 11:34:15 +0200 | |
| changeset 36348 | 89c54f51f55a | 
| parent 34232 | 36a2a3029fd3 | 
| child 37387 | 3581483cca6c | 
| permissions | -rw-r--r-- | 
| 31775 | 1 | (* Title: HOL/Tools/Function/measure_functions.ML | 
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Measure functions can now be declared via special rules, allowing for a
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changeset | 2 | Author: Alexander Krauss, TU Muenchen | 
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changeset | 3 | |
| 31902 | 4 | Measure functions, generated heuristically. | 
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changeset | 5 | *) | 
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changeset | 6 | |
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changeset | 7 | signature MEASURE_FUNCTIONS = | 
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changeset | 8 | sig | 
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changeset | 9 | |
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changeset | 10 | val get_measure_functions : Proof.context -> typ -> term list | 
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changeset | 11 | val setup : theory -> theory | 
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changeset | 12 | |
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changeset | 13 | end | 
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changeset | 14 | |
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changeset | 15 | structure MeasureFunctions : MEASURE_FUNCTIONS = | 
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changeset | 16 | struct | 
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changeset | 17 | |
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changeset | 18 | (** User-declared size functions **) | 
| 31902 | 19 | structure Measure_Heuristic_Rules = Named_Thms | 
| 20 | ( | |
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changeset | 21 | val name = "measure_function" | 
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changeset | 22 | val description = | 
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changeset | 23 | "Rules that guide the heuristic generation of measure functions" | 
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changeset | 24 | ); | 
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changeset | 25 | |
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changeset | 26 | fun mk_is_measure t = | 
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changeset | 27 |   Const (@{const_name is_measure}, fastype_of t --> HOLogic.boolT) $ t
 | 
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changeset | 28 | |
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changeset | 29 | fun find_measures ctxt T = | 
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changeset | 30 | DEPTH_SOLVE (resolve_tac (Measure_Heuristic_Rules.get ctxt) 1) | 
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changeset | 31 |     (HOLogic.mk_Trueprop (mk_is_measure (Var (("f",0), T --> HOLogic.natT)))
 | 
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changeset | 32 | |> cterm_of (ProofContext.theory_of ctxt) |> Goal.init) | 
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changeset | 33 | |> Seq.map (prop_of #> (fn _ $ (_ $ (_ $ f)) => f)) | 
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changeset | 34 | |> Seq.list_of | 
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changeset | 35 | |
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changeset | 36 | |
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changeset | 37 | (** Generating Measure Functions **) | 
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changeset | 38 | |
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changeset | 39 | fun constant_0 T = Abs ("x", T, HOLogic.zero)
 | 
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changeset | 40 | fun constant_1 T = Abs ("x", T, HOLogic.Suc_zero)
 | 
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changeset | 41 | |
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changeset | 42 | fun mk_funorder_funs (Type ("+", [fT, sT])) =
 | 
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changeset | 43 | map (fn m => SumTree.mk_sumcase fT sT HOLogic.natT m (constant_0 sT)) (mk_funorder_funs fT) | 
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changeset | 44 | @ map (fn m => SumTree.mk_sumcase fT sT HOLogic.natT (constant_0 fT) m) (mk_funorder_funs sT) | 
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changeset | 45 | | mk_funorder_funs T = [ constant_1 T ] | 
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changeset | 46 | |
| 31902 | 47 | fun mk_ext_base_funs ctxt (Type ("+", [fT, sT])) =
 | 
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changeset | 48 | map_product (SumTree.mk_sumcase fT sT HOLogic.natT) | 
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changeset | 49 | (mk_ext_base_funs ctxt fT) (mk_ext_base_funs ctxt sT) | 
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changeset | 50 | | mk_ext_base_funs ctxt T = find_measures ctxt T | 
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changeset | 51 | |
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changeset | 52 | fun mk_all_measure_funs ctxt (T as Type ("+", _)) =
 | 
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changeset | 53 | mk_ext_base_funs ctxt T @ mk_funorder_funs T | 
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changeset | 54 | | mk_all_measure_funs ctxt T = find_measures ctxt T | 
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changeset | 55 | |
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changeset | 56 | val get_measure_functions = mk_all_measure_funs | 
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changeset | 57 | |
| 31902 | 58 | val setup = Measure_Heuristic_Rules.setup | 
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changeset | 59 | |
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changeset | 60 | end |