author  bulwahn 
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permissions  rwrr 
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(* Title: HOL/Tools/Quickcheck/exhaustive_generators.ML 
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Author: Lukas Bulwahn, TU Muenchen 
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Exhaustive generators for various types. 
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*) 
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signature EXHAUSTIVE_GENERATORS = 
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sig 
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val compile_generator_expr: 
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Proof.context > (term * term list) list > int list > term list option * Quickcheck.report option 
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val compile_generator_exprs: Proof.context > term list > (int > term list option) list 
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val compile_validator_exprs: Proof.context > term list > (int > bool) list 
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val put_counterexample: (unit > int > int > term list option) 
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> Proof.context > Proof.context 
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val put_counterexample_batch: (unit > (int > term list option) list) 
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> Proof.context > Proof.context 
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val put_validator_batch: (unit > (int > bool) list) > Proof.context > Proof.context 
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exception Counterexample of term list 
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val smart_quantifier : bool Config.T 
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val quickcheck_pretty : bool Config.T 
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val setup: theory > theory 
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end; 
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structure Exhaustive_Generators : EXHAUSTIVE_GENERATORS = 
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struct 
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(* basics *) 
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(** dynamic options **) 
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val (smart_quantifier, setup_smart_quantifier) = 

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Attrib.config_bool "quickcheck_smart_quantifier" (K true) 

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val (fast, setup_fast) = 
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Attrib.config_bool "quickcheck_fast" (K true) 

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val (full_support, setup_full_support) = 
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Attrib.config_bool "quickcheck_full_support" (K true) 

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val (quickcheck_pretty, setup_quickcheck_pretty) = 
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Attrib.config_bool "quickcheck_pretty" (K true) 
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(** general term functions **) 
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fun mk_measure f = 
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let 
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val Type ("fun", [T, @{typ nat}]) = fastype_of f 
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in 
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Const (@{const_name Wellfounded.measure}, 
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(T > @{typ nat}) > HOLogic.mk_prodT (T, T) > @{typ bool}) 
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$ f 
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end 
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fun mk_sumcases rT f (Type (@{type_name Sum_Type.sum}, [TL, TR])) = 
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let 
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val lt = mk_sumcases rT f TL 
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val rt = mk_sumcases rT f TR 
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in 
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SumTree.mk_sumcase TL TR rT lt rt 
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end 
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 mk_sumcases _ f T = f T 
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fun mk_undefined T = Const(@{const_name undefined}, T) 
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(** abstract syntax **) 
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fun termifyT T = HOLogic.mk_prodT (T, @{typ "unit => Code_Evaluation.term"}); 
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val size = @{term "i :: code_numeral"} 
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val size_pred = @{term "(i :: code_numeral)  1"} 
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val size_ge_zero = @{term "(i :: code_numeral) > 0"} 
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fun mk_none_continuation (x, y) = 
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let 
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val (T as Type(@{type_name "option"}, [T'])) = fastype_of x 
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in 
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Const (@{const_name "Quickcheck_Exhaustive.orelse"}, T > T > T) $ x $ y 
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end 
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fun mk_unit_let (x, y) = 
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Const (@{const_name "Let"}, @{typ "unit => (unit => unit) => unit"}) $ x $ (absdummy (@{typ unit}, y)) 

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(* handling inductive datatypes *) 
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(** constructing generator instances **) 
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exception FUNCTION_TYPE; 
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exception Counterexample of term list 

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val exhaustiveN = "exhaustive"; 
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val full_exhaustiveN = "full_exhaustive"; 
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val fast_exhaustiveN = "fast_exhaustive"; 
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val bounded_forallN = "bounded_forall"; 
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fun fast_exhaustiveT T = (T > @{typ unit}) 

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> @{typ code_numeral} > @{typ unit} 

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fun exhaustiveT T = (T > @{typ "Code_Evaluation.term list option"}) 
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> @{typ code_numeral} > @{typ "Code_Evaluation.term list option"} 

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fun bounded_forallT T = (T > @{typ bool}) > @{typ code_numeral} > @{typ bool} 
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fun full_exhaustiveT T = (termifyT T > @{typ "Code_Evaluation.term list option"}) 
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> @{typ code_numeral} > @{typ "Code_Evaluation.term list option"} 
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fun check_allT T = (termifyT T > @{typ "Code_Evaluation.term list option"}) 
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> @{typ "Code_Evaluation.term list option"} 
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fun mk_equation_terms generics (descr, vs, Ts) = 
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let 
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val (mk_call, mk_aux_call, mk_consexpr, mk_rhs, test_function, exhaustives) = generics 
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val rhss = 
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Datatype_Aux.interpret_construction descr vs 
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{ atyp = mk_call, dtyp = mk_aux_call } 
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> (map o apfst) Type 
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> map (fn (T, cs) => map (mk_consexpr T) cs) 
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> map mk_rhs 
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val lhss = map2 (fn t => fn T => t $ test_function T $ size) exhaustives Ts 
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in 
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map (HOLogic.mk_Trueprop o HOLogic.mk_eq) (lhss ~~ rhss) 
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end 
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fun gen_mk_call c T = (T, fn t => c T $ absdummy (T, t) $ size_pred) 
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fun gen_mk_aux_call functerms fTs (k, _) (tyco, Ts) = 
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let 
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val T = Type (tyco, Ts) 
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val _ = if not (null fTs) then raise FUNCTION_TYPE else () 
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in 
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(T, fn t => nth functerms k $ absdummy (T, t) $ size_pred) 
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end 
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fun gen_mk_consexpr test_function functerms simpleT (c, xs) = 
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let 
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val (Ts, fns) = split_list xs 
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val constr = Const (c, Ts > simpleT) 
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val bounds = map Bound (((length xs)  1) downto 0) 
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val term_bounds = map (fn x => Bound (2 * x)) (((length xs)  1) downto 0) 
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val start_term = test_function simpleT $ list_comb (constr, bounds) 
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in fold_rev (fn f => fn t => f t) fns start_term end 
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fun mk_fast_equations functerms = 
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let 
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fun test_function T = Free ("f", T > @{typ "unit"}) 
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val mk_call = gen_mk_call (fn T => 
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Const (@{const_name "Quickcheck_Exhaustive.fast_exhaustive_class.fast_exhaustive"}, 
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fast_exhaustiveT T)) 
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val mk_aux_call = gen_mk_aux_call functerms 
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val mk_consexpr = gen_mk_consexpr test_function functerms 
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fun mk_rhs exprs = @{term "If :: bool => unit => unit => unit"} 
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$ size_ge_zero $ (foldr1 mk_unit_let exprs) $ @{term "()"} 
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in 
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mk_equation_terms (mk_call, mk_aux_call, mk_consexpr, mk_rhs, test_function, functerms) 
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end 
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fun mk_equations functerms = 
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let 
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fun test_function T = Free ("f", T > @{typ "term list option"}) 
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val mk_call = gen_mk_call (fn T => 
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Const (@{const_name "Quickcheck_Exhaustive.exhaustive_class.exhaustive"}, exhaustiveT T)) 
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val mk_aux_call = gen_mk_aux_call functerms 
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val mk_consexpr = gen_mk_consexpr test_function functerms 
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fun mk_rhs exprs = 
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@{term "If :: bool => term list option => term list option => term list option"} 

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$ size_ge_zero $ (foldr1 mk_none_continuation exprs) $ @{term "None :: term list option"} 

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in 

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mk_equation_terms (mk_call, mk_aux_call, mk_consexpr, mk_rhs, test_function, functerms) 
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end 
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fun mk_bounded_forall_equations functerms = 
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let 
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fun test_function T = Free ("P", T > @{typ bool}) 
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val mk_call = gen_mk_call (fn T => 
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Const (@{const_name "Quickcheck_Exhaustive.bounded_forall_class.bounded_forall"}, 
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bounded_forallT T)) 
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val mk_aux_call = gen_mk_aux_call functerms 
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val mk_consexpr = gen_mk_consexpr test_function functerms 
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fun mk_rhs exprs = 
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@{term "If :: bool => bool => bool => bool"} $ size_ge_zero $ 
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(foldr1 HOLogic.mk_conj exprs) $ @{term "True"} 
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in 
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mk_equation_terms (mk_call, mk_aux_call, mk_consexpr, mk_rhs, test_function, functerms) 
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end 
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fun mk_full_equations functerms = 
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let 
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fun test_function T = Free ("f", termifyT T > @{typ "term list option"}) 
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fun mk_call T = 
190 
let 

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val full_exhaustive = 
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Const (@{const_name "Quickcheck_Exhaustive.exhaustive_class.full_exhaustive"}, 
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full_exhaustiveT T) 
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in 
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(T, (fn t => full_exhaustive $ 

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(HOLogic.split_const (T, @{typ "unit => Code_Evaluation.term"}, @{typ "Code_Evaluation.term list option"}) 
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$ absdummy (T, absdummy (@{typ "unit => Code_Evaluation.term"}, t))) $ size_pred)) 
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end 
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fun mk_aux_call fTs (k, _) (tyco, Ts) = 
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let 
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val T = Type (tyco, Ts) 
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val _ = if not (null fTs) then raise FUNCTION_TYPE else () 
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in 
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(T, (fn t => nth functerms k $ 
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(HOLogic.split_const (T, @{typ "unit => Code_Evaluation.term"}, @{typ "Code_Evaluation.term list option"}) 
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$ absdummy (T, absdummy (@{typ "unit => Code_Evaluation.term"}, t))) $ size_pred)) 
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end 
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fun mk_consexpr simpleT (c, xs) = 
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let 
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val (Ts, fns) = split_list xs 
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val constr = Const (c, Ts > simpleT) 
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val bounds = map (fn x => Bound (2 * x + 1)) (((length xs)  1) downto 0) 
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val term_bounds = map (fn x => Bound (2 * x)) (((length xs)  1) downto 0) 
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val Eval_App = Const ("Code_Evaluation.App", HOLogic.termT > HOLogic.termT > HOLogic.termT) 
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val Eval_Const = Const ("Code_Evaluation.Const", HOLogic.literalT > @{typ typerep} > HOLogic.termT) 
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val term = fold (fn u => fn t => Eval_App $ t $ (u $ @{term "()"})) 
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bounds (Eval_Const $ HOLogic.mk_literal c $ HOLogic.mk_typerep (Ts > simpleT)) 
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val start_term = test_function simpleT $ 
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(HOLogic.pair_const simpleT @{typ "unit => Code_Evaluation.term"} 
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$ (list_comb (constr, bounds)) $ absdummy (@{typ unit}, term)) 
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in fold_rev (fn f => fn t => f t) fns start_term end 
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fun mk_rhs exprs = 
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@{term "If :: bool => term list option => term list option => term list option"} 
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$ size_ge_zero $ (foldr1 mk_none_continuation exprs) $ @{term "None :: term list option"} 
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in 
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mk_equation_terms (mk_call, mk_aux_call, mk_consexpr, mk_rhs, test_function, functerms) 
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end 
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(** foundational definition with the function package **) 
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val less_int_pred = @{lemma "i > 0 ==> Code_Numeral.nat_of ((i :: code_numeral)  1) < Code_Numeral.nat_of i" by auto} 
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fun mk_single_measure T = HOLogic.mk_comp (@{term "Code_Numeral.nat_of"}, 
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Const (@{const_name "Product_Type.snd"}, T > @{typ "code_numeral"})) 
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fun mk_termination_measure T = 
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let 
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val T' = fst (HOLogic.dest_prodT (HOLogic.dest_setT T)) 
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in 
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mk_measure (mk_sumcases @{typ nat} mk_single_measure T') 
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end 
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fun termination_tac ctxt = 
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Function_Relation.relation_tac ctxt mk_termination_measure 1 
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THEN rtac @{thm wf_measure} 1 
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THEN (REPEAT_DETERM (Simplifier.asm_full_simp_tac 
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(HOL_basic_ss addsimps [@{thm in_measure}, @{thm o_def}, @{thm snd_conv}, 
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@{thm nat_mono_iff}, less_int_pred] @ @{thms sum.cases}) 1)) 
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(** instantiating generator classes **) 
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41918  252 
fun instantiate_exhaustive_datatype config descr vs tycos prfx (names, auxnames) (Ts, Us) thy = 
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let 
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val _ = Datatype_Aux.message config "Creating exhaustive generators..."; 
42304  255 
val exhaustivesN = map (prefix (exhaustiveN ^ "_")) (names @ auxnames) 
256 
val full_exhaustivesN = map (prefix (full_exhaustiveN ^ "_")) (names @ auxnames) 

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in 
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thy 
41918  259 
> Class.instantiation (tycos, vs, @{sort exhaustive}) 
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> Quickcheck_Common.define_functions 
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(fn functerms => mk_equations functerms (descr, vs, Ts @ Us), SOME termination_tac) 
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prfx ["f", "i"] exhaustivesN (map exhaustiveT (Ts @ Us)) 
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> Quickcheck_Common.define_functions 
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(fn functerms => mk_full_equations functerms (descr, vs, Ts @ Us), SOME termination_tac) 
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prfx ["f", "i"] full_exhaustivesN (map full_exhaustiveT (Ts @ Us)) 
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> Class.prove_instantiation_exit (K (Class.intro_classes_tac [])) 
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end handle FUNCTION_TYPE => 
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(Datatype_Aux.message config 
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"Creation of exhaustive generators failed because the datatype contains a function type"; 
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thy) 
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fun instantiate_fast_exhaustive_datatype config descr vs tycos prfx (names, auxnames) (Ts, Us) thy = 
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let 

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val _ = Datatype_Aux.message config "Creating fast exhaustive generators..."; 

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val fast_exhaustivesN = map (prefix (fast_exhaustiveN ^ "_")) (names @ auxnames) 

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in 

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thy 

278 
> Class.instantiation (tycos, vs, @{sort fast_exhaustive}) 

279 
> Quickcheck_Common.define_functions 

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(fn functerms => mk_fast_equations functerms (descr, vs, Ts @ Us), SOME termination_tac) 
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prfx ["f", "i"] fast_exhaustivesN (map fast_exhaustiveT (Ts @ Us)) 
282 
> Class.prove_instantiation_exit (K (Class.intro_classes_tac [])) 

283 
end handle FUNCTION_TYPE => 

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(Datatype_Aux.message config 

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"Creation of exhaustive generators failed because the datatype contains a function type"; 

286 
thy) 

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fun instantiate_bounded_forall_datatype config descr vs tycos prfx (names, auxnames) (Ts, Us) thy = 
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let 
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val _ = Datatype_Aux.message config "Creating bounded universal quantifiers..."; 
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val bounded_forallsN = map (prefix (bounded_forallN ^ "_")) (names @ auxnames); 
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in 
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thy 
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> Class.instantiation (tycos, vs, @{sort bounded_forall}) 
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> Quickcheck_Common.define_functions 
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(fn functerms => mk_bounded_forall_equations functerms (descr, vs, Ts @ Us), NONE) 
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prfx ["P", "i"] bounded_forallsN (map bounded_forallT (Ts @ Us)) 
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> Class.prove_instantiation_exit (K (Class.intro_classes_tac [])) 
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end handle FUNCTION_TYPE => 
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(Datatype_Aux.message config 
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"Creation of bounded universal quantifiers failed because the datatype contains a function type"; 
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302 
thy) 
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303 

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(* building and compiling generator expressions *) 
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42306  306 
fun mk_fast_generator_expr ctxt (t, eval_terms) = 
307 
let 

308 
val thy = ProofContext.theory_of ctxt 

309 
val ctxt' = Variable.auto_fixes t ctxt 

310 
val names = Term.add_free_names t [] 

311 
val frees = map Free (Term.add_frees t []) 

312 
val ([depth_name], ctxt'') = Variable.variant_fixes ["depth"] ctxt' 

313 
val depth = Free (depth_name, @{typ code_numeral}) 

314 
val return = @{term "throw_Counterexample :: term list => unit"} $ 

315 
(HOLogic.mk_list @{typ "term"} 

316 
(map (fn t => HOLogic.mk_term_of (fastype_of t) t) (frees @ eval_terms))) 

317 
fun mk_exhaustive_closure (free as Free (_, T)) t = 

318 
Const (@{const_name "Quickcheck_Exhaustive.fast_exhaustive_class.fast_exhaustive"}, fast_exhaustiveT T) 

319 
$ lambda free t $ depth 

320 
val none_t = @{term "()"} 

321 
fun mk_safe_if (cond, then_t, else_t) = 

322 
@{term "If :: bool => unit => unit => unit"} $ cond $ then_t $ else_t 

323 
fun lookup v = the (AList.lookup (op =) (names ~~ frees) v) 

324 
fun mk_naive_test_term t = 

325 
fold_rev mk_exhaustive_closure frees (mk_safe_if (t, none_t, return)) 

326 
fun mk_smart_test_term' concl bound_vars assms = 

327 
let 

328 
fun vars_of t = subtract (op =) bound_vars (Term.add_free_names t []) 

329 
val (vars, check) = 

330 
case assms of [] => (vars_of concl, (concl, none_t, return)) 

331 
 assm :: assms => (vars_of assm, (assm, 

332 
mk_smart_test_term' concl (union (op =) (vars_of assm) bound_vars) assms, none_t)) 

333 
in 

334 
fold_rev mk_exhaustive_closure (map lookup vars) (mk_safe_if check) 

335 
end 

336 
fun mk_smart_test_term t = 

337 
let 

338 
val (assms, concl) = Quickcheck_Common.strip_imp t 

339 
in 

340 
mk_smart_test_term' concl [] assms 

341 
end 

342 
val mk_test_term = 

343 
if Config.get ctxt smart_quantifier then mk_smart_test_term else mk_naive_test_term 

344 
in lambda depth (@{term "catch_Counterexample :: unit => term list option"} $ mk_test_term t) end 

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fun mk_generator_expr ctxt (t, eval_terms) = 
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let 
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val thy = ProofContext.theory_of ctxt 
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val ctxt' = Variable.auto_fixes t ctxt 
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val names = Term.add_free_names t [] 
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val frees = map Free (Term.add_frees t []) 
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val ([depth_name], ctxt'') = Variable.variant_fixes ["depth"] ctxt' 
42304  353 
val depth = Free (depth_name, @{typ code_numeral}) 
354 
val return = @{term "Some :: term list => term list option"} $ 

355 
(HOLogic.mk_list @{typ "term"} 

356 
(map (fn t => HOLogic.mk_term_of (fastype_of t) t) (frees @ eval_terms))) 

357 
fun mk_exhaustive_closure (free as Free (_, T)) t = 

358 
Const (@{const_name "Quickcheck_Exhaustive.exhaustive_class.exhaustive"}, exhaustiveT T) 

359 
$ lambda free t $ depth 

360 
val none_t = @{term "None :: term list option"} 

361 
fun mk_safe_if (cond, then_t, else_t) = 

362 
@{term "Quickcheck_Exhaustive.catch_match :: term list option => term list option => term list option"} $ 

363 
(@{term "If :: bool => term list option => term list option => term list option"} 

364 
$ cond $ then_t $ else_t) $ none_t; 

365 
fun lookup v = the (AList.lookup (op =) (names ~~ frees) v) 

366 
fun mk_naive_test_term t = 

367 
fold_rev mk_exhaustive_closure frees (mk_safe_if (t, none_t, return)) 

368 
fun mk_smart_test_term' concl bound_vars assms = 

369 
let 

370 
fun vars_of t = subtract (op =) bound_vars (Term.add_free_names t []) 

371 
val (vars, check) = 

372 
case assms of [] => (vars_of concl, (concl, none_t, return)) 

373 
 assm :: assms => (vars_of assm, (assm, 

374 
mk_smart_test_term' concl (union (op =) (vars_of assm) bound_vars) assms, none_t)) 

375 
in 

376 
fold_rev mk_exhaustive_closure (map lookup vars) (mk_safe_if check) 

377 
end 

378 
fun mk_smart_test_term t = 

379 
let 

380 
val (assms, concl) = Quickcheck_Common.strip_imp t 

381 
in 

382 
mk_smart_test_term' concl [] assms 

383 
end 

384 
val mk_test_term = 

385 
if Config.get ctxt smart_quantifier then mk_smart_test_term else mk_naive_test_term 

386 
in lambda depth (mk_test_term t) end 

387 

388 
fun mk_full_generator_expr ctxt (t, eval_terms) = 

389 
let 

390 
val thy = ProofContext.theory_of ctxt 

391 
val ctxt' = Variable.auto_fixes t ctxt 

392 
val names = Term.add_free_names t [] 

393 
val frees = map Free (Term.add_frees t []) 

394 
val ([depth_name], ctxt'') = Variable.variant_fixes ["depth"] ctxt' 

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395 
val (term_names, ctxt''') = Variable.variant_fixes (map (prefix "t_") names) ctxt'' 
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396 
val depth = Free (depth_name, @{typ code_numeral}) 
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397 
val term_vars = map (fn n => Free (n, @{typ "unit => term"})) term_names 
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398 
val terms = HOLogic.mk_list @{typ term} (map (fn v => v $ @{term "()"}) term_vars) 
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399 
val appendC = @{term "List.append :: term list => term list => term list"} 
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400 
val return = @{term "Some :: term list => term list option"} $ (appendC $ terms $ 
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401 
(HOLogic.mk_list @{typ "term"} (map (fn t => HOLogic.mk_term_of (fastype_of t) t) eval_terms))) 
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402 
fun mk_exhaustive_closure (free as Free (_, T), term_var) t = 
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403 
if Sign.of_sort thy (T, @{sort enum}) then 
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404 
Const (@{const_name "Quickcheck_Exhaustive.check_all_class.check_all"}, check_allT T) 
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405 
$ (HOLogic.split_const (T, @{typ "unit => term"}, @{typ "term list option"}) 
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406 
$ lambda free (lambda term_var t)) 
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407 
else 
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408 
Const (@{const_name "Quickcheck_Exhaustive.exhaustive_class.exhaustive"}, exhaustiveT T) 
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409 
$ (HOLogic.split_const (T, @{typ "unit => term"}, @{typ "term list option"}) 
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410 
$ lambda free (lambda term_var t)) $ depth 
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411 
val none_t = @{term "None :: term list option"} 
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412 
fun mk_safe_if (cond, then_t, else_t) = 
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413 
@{term "Quickcheck_Exhaustive.catch_match :: term list option => term list option => term list option"} $ 
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414 
(@{term "If :: bool => term list option => term list option => term list option"} 
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415 
$ cond $ then_t $ else_t) $ none_t; 
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416 
fun lookup v = the (AList.lookup (op =) (names ~~ (frees ~~ term_vars)) v) 
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417 
fun mk_naive_test_term t = 
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418 
fold_rev mk_exhaustive_closure (frees ~~ term_vars) (mk_safe_if (t, none_t, return)) 
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419 
fun mk_smart_test_term' concl bound_vars assms = 
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420 
let 
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421 
fun vars_of t = subtract (op =) bound_vars (Term.add_free_names t []) 
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422 
val (vars, check) = 
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423 
case assms of [] => (vars_of concl, (concl, none_t, return)) 
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424 
 assm :: assms => (vars_of assm, (assm, 
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425 
mk_smart_test_term' concl (union (op =) (vars_of assm) bound_vars) assms, none_t)) 
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426 
in 
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427 
fold_rev mk_exhaustive_closure (map lookup vars) (mk_safe_if check) 
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428 
end 
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429 
fun mk_smart_test_term t = 
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430 
let 
42195
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431 
val (assms, concl) = Quickcheck_Common.strip_imp t 
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432 
in 
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433 
mk_smart_test_term' concl [] assms 
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434 
end 
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435 
val mk_test_term = 
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436 
if Config.get ctxt smart_quantifier then mk_smart_test_term else mk_naive_test_term 
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437 
in lambda depth (mk_test_term t) end 
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438 

42304  439 
fun mk_parametric_generator_expr mk_generator_expr = 
42159
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440 
Quickcheck_Common.gen_mk_parametric_generator_expr 
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441 
((mk_generator_expr, absdummy (@{typ "code_numeral"}, @{term "None :: term list option"})), 
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442 
@{typ "code_numeral => term list option"}) 
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443 

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444 
fun mk_validator_expr ctxt t = 
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445 
let 
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446 
fun bounded_forallT T = (T > @{typ bool}) > @{typ code_numeral} > @{typ bool} 
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447 
val thy = ProofContext.theory_of ctxt 
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448 
val ctxt' = Variable.auto_fixes t ctxt 
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449 
val ([depth_name], ctxt'') = Variable.variant_fixes ["depth"] ctxt' 
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450 
val depth = Free (depth_name, @{typ code_numeral}) 
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451 
fun mk_bounded_forall (s, T) t = 
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452 
Const (@{const_name "Quickcheck_Exhaustive.bounded_forall_class.bounded_forall"}, bounded_forallT T) 
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453 
$ lambda (Free (s, T)) t $ depth 
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454 
fun mk_implies (cond, then_t) = 
42273  455 
@{term "If :: bool => bool => bool => bool"} $ cond $ then_t $ @{term True} 
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456 
fun mk_naive_test_term t = fold_rev mk_bounded_forall (Term.add_frees t []) t 
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457 
fun mk_smart_test_term' concl bound_frees assms = 
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458 
let 
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459 
fun vars_of t = subtract (op =) bound_frees (Term.add_frees t []) 
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460 
val (vars, check) = 
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461 
case assms of [] => (vars_of concl, concl) 
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462 
 assm :: assms => (vars_of assm, mk_implies (assm, 
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463 
mk_smart_test_term' concl (union (op =) (vars_of assm) bound_frees) assms)) 
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464 
in 
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465 
fold_rev mk_bounded_forall vars check 
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466 
end 
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467 
fun mk_smart_test_term t = 
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468 
let 
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469 
val (assms, concl) = Quickcheck_Common.strip_imp t 
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470 
in 
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471 
mk_smart_test_term' concl [] assms 
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472 
end 
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473 
val mk_test_term = 
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474 
if Config.get ctxt smart_quantifier then mk_smart_test_term else mk_naive_test_term 
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475 
in lambda depth (mk_test_term t) end 
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476 

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477 

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478 
(** generator compiliation **) 
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479 

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480 
structure Counterexample = Proof_Data 
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481 
( 
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482 
type T = unit > int > int > term list option 
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483 
(* FIXME avoid user error with nonuser text *) 
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484 
fun init _ () = error "Counterexample" 
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485 
); 
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486 
val put_counterexample = Counterexample.put; 
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487 

41861
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488 
structure Counterexample_Batch = Proof_Data 
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489 
( 
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490 
type T = unit > (int > term list option) list 
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491 
(* FIXME avoid user error with nonuser text *) 
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492 
fun init _ () = error "Counterexample" 
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493 
); 
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494 
val put_counterexample_batch = Counterexample_Batch.put; 
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495 

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496 
structure Validator_Batch = Proof_Data 
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497 
( 
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498 
type T = unit > (int > bool) list 
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499 
(* FIXME avoid user error with nonuser text *) 
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500 
fun init _ () = error "Counterexample" 
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501 
); 
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502 
val put_validator_batch = Validator_Batch.put; 
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503 

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504 

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505 
val target = "Quickcheck"; 
42159
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506 

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507 
fun compile_generator_expr ctxt ts = 
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508 
let 
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509 
val thy = ProofContext.theory_of ctxt 
42306  510 
val mk_generator_expr = 
511 
if Config.get ctxt fast then mk_fast_generator_expr 

512 
else if Config.get ctxt full_support then mk_full_generator_expr else mk_generator_expr 

42304  513 
val t' = mk_parametric_generator_expr mk_generator_expr ctxt ts; 
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514 
val compile = Code_Runtime.dynamic_value_strict 
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515 
(Counterexample.get, put_counterexample, "Exhaustive_Generators.put_counterexample") 
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516 
thy (SOME target) (fn proc => fn g => 
42195
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517 
fn card => fn size => g card size > (Option.map o map) proc) t' [] 
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518 
in 
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519 
fn [card, size] => rpair NONE (compile card size > 
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520 
(if Config.get ctxt quickcheck_pretty then 
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521 
Option.map (map Quickcheck_Common.post_process_term) else I)) 
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522 
end; 
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523 

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524 
fun compile_generator_exprs ctxt ts = 
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525 
let 
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526 
val thy = ProofContext.theory_of ctxt 
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527 
val ts' = map (fn t => mk_generator_expr ctxt (t, [])) ts; 
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528 
val compiles = Code_Runtime.dynamic_value_strict 
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529 
(Counterexample_Batch.get, put_counterexample_batch, 
41918  530 
"Exhaustive_Generators.put_counterexample_batch") 
41861
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531 
thy (SOME target) (fn proc => map (fn g => g #> (Option.map o map) proc)) 
42195
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532 
(HOLogic.mk_list @{typ "code_numeral => term list option"} ts') [] 
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533 
in 
41935
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534 
map (fn compile => fn size => compile size 
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535 
> Option.map (map Quickcheck_Common.post_process_term)) compiles 
41861
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536 
end; 
42195
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537 

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538 
fun compile_validator_exprs ctxt ts = 
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539 
let 
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540 
val thy = ProofContext.theory_of ctxt 
42273  541 
val ts' = map (mk_validator_expr ctxt) ts 
42195
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542 
in 
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543 
Code_Runtime.dynamic_value_strict 
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544 
(Validator_Batch.get, put_validator_batch, "Exhaustive_Generators.put_validator_batch") 
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545 
thy (SOME target) (K I) (HOLogic.mk_list @{typ "code_numeral => bool"} ts') [] 
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546 
end; 
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547 

42308
e2abd1ca8d01
revisiting mk_equation functions and refactoring them in exhaustive quickcheck
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548 
(* setup *) 
40420
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549 

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550 
val setup = 
42229
1491b7209e76
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changeset

551 
Datatype.interpretation (Quickcheck_Common.ensure_sort_datatype 
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552 
(((@{sort typerep}, @{sort term_of}), @{sort exhaustive}), instantiate_exhaustive_datatype)) 
42230
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553 
#> Datatype.interpretation (Quickcheck_Common.ensure_sort_datatype 
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554 
(((@{sort type}, @{sort type}), @{sort bounded_forall}), instantiate_bounded_forall_datatype)) 
42306  555 
#> Datatype.interpretation (Quickcheck_Common.ensure_sort_datatype 
556 
(((@{sort typerep}, @{sort term_of}), @{sort fast_exhaustive}), instantiate_fast_exhaustive_datatype)) 

40907  557 
#> setup_smart_quantifier 
42304  558 
#> setup_full_support 
42306  559 
#> setup_fast 
41903
39fd77f0ae59
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diff
changeset

560 
#> setup_quickcheck_pretty 
41900  561 
#> Context.theory_map (Quickcheck.add_generator ("exhaustive", compile_generator_expr)) 
42195
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562 
#> Context.theory_map (Quickcheck.add_batch_generator ("exhaustive", compile_generator_exprs)) 
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563 
#> Context.theory_map (Quickcheck.add_batch_validator ("exhaustive", compile_validator_exprs)); 
40420
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564 

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565 
end; 