| author | wenzelm | 
| Sat, 01 Jul 2017 16:39:56 +0200 | |
| changeset 66243 | 453f9cabddb5 | 
| parent 59621 | 291934bac95e | 
| child 67149 | e61557884799 | 
| 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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Measure functions can now be declared via special rules, allowing for a
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changeset | 7 | signature MEASURE_FUNCTIONS = | 
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changeset | 8 | sig | 
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changeset | 9 | val get_measure_functions : Proof.context -> typ -> term list | 
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changeset | 10 | end | 
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changeset | 11 | |
| 57959 | 12 | structure Measure_Functions : MEASURE_FUNCTIONS = | 
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changeset | 13 | struct | 
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changeset | 14 | |
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changeset | 15 | (** User-declared size functions **) | 
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changeset | 16 | |
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changeset | 17 | fun mk_is_measure t = | 
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changeset | 18 |   Const (@{const_name is_measure}, fastype_of t --> HOLogic.boolT) $ t
 | 
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changeset | 19 | |
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changeset | 20 | fun find_measures ctxt T = | 
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changeset | 21 |   DEPTH_SOLVE (resolve_tac ctxt (rev (Named_Theorems.get ctxt @{named_theorems measure_function})) 1)
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changeset | 22 |     (HOLogic.mk_Trueprop (mk_is_measure (Var (("f",0), T --> HOLogic.natT)))
 | 
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Thm.cterm_of and Thm.ctyp_of operate on local context;
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changeset | 23 | |> Thm.cterm_of ctxt |> Goal.init) | 
| 59582 | 24 | |> Seq.map (Thm.prop_of #> (fn _ $ (_ $ (_ $ f)) => f)) | 
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changeset | 25 | |> Seq.list_of | 
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changeset | 26 | |
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changeset | 27 | |
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changeset | 28 | (** Generating Measure Functions **) | 
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changeset | 29 | |
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changeset | 30 | fun constant_0 T = Abs ("x", T, HOLogic.zero)
 | 
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changeset | 31 | fun constant_1 T = Abs ("x", T, HOLogic.Suc_zero)
 | 
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changeset | 32 | |
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changeset | 33 | fun mk_funorder_funs (Type (@{type_name Sum_Type.sum}, [fT, sT])) =
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| 55968 | 34 | map (fn m => Sum_Tree.mk_sumcase fT sT HOLogic.natT m (constant_0 sT)) (mk_funorder_funs fT) | 
| 35 | @ map (fn m => Sum_Tree.mk_sumcase fT sT HOLogic.natT (constant_0 fT) m) (mk_funorder_funs sT) | |
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changeset | 36 | | mk_funorder_funs T = [ constant_1 T ] | 
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changeset | 37 | |
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changeset | 38 | fun mk_ext_base_funs ctxt (Type (@{type_name Sum_Type.sum}, [fT, sT])) =
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| 55968 | 39 | map_product (Sum_Tree.mk_sumcase fT sT HOLogic.natT) | 
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changeset | 40 | (mk_ext_base_funs ctxt fT) (mk_ext_base_funs ctxt sT) | 
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changeset | 41 | | mk_ext_base_funs ctxt T = find_measures ctxt T | 
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changeset | 42 | |
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changeset | 43 | fun mk_all_measure_funs ctxt (T as Type (@{type_name Sum_Type.sum}, _)) =
 | 
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changeset | 44 | mk_ext_base_funs ctxt T @ mk_funorder_funs T | 
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changeset | 45 | | mk_all_measure_funs ctxt T = find_measures ctxt T | 
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changeset | 46 | |
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changeset | 47 | val get_measure_functions = mk_all_measure_funs | 
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changeset | 48 | |
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changeset | 49 | end |