author  bulwahn 
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permissions  rwrr 
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(* Author: Lukas Bulwahn, TU Muenchen *) 
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header {* A simple counterexample generator performing exhaustive testing *} 
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theory Quickcheck_Exhaustive 
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imports Quickcheck 
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uses ("Tools/Quickcheck/exhaustive_generators.ML") 
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begin 
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subsection {* basic operations for exhaustive generators *} 
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definition orelse :: "'a option => 'a option => 'a option" (infixr "orelse" 55) 
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where 
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[code_unfold]: "x orelse y = (case x of Some x' => Some x'  None => y)" 
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subsection {* exhaustive generator type classes *} 
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class exhaustive = term_of + 
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fixes exhaustive :: "('a \<Rightarrow> (bool * term list) option) \<Rightarrow> code_numeral \<Rightarrow> (bool * term list) option" 
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class full_exhaustive = term_of + 
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instantiation code_numeral :: full_exhaustive 
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begin 
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function full_exhaustive_code_numeral' :: "(code_numeral * (unit => term) => (bool * term list) option) => code_numeral => code_numeral => (bool * term list) option" 
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where "full_exhaustive_code_numeral' f d i = 
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(if d < i then None 

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else (f (i, %_. Code_Evaluation.term_of i)) orelse (full_exhaustive_code_numeral' f d (i + 1)))" 

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by pat_completeness auto 

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termination 

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by (relation "measure (%(_, d, i). Code_Numeral.nat_of (d + 1  i))") auto 

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definition "full_exhaustive f d = full_exhaustive_code_numeral' f d 0" 

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instance .. 
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end 
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instantiation code_numeral :: exhaustive 
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begin 
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function exhaustive_code_numeral' :: "(code_numeral => (bool * term list) option) => code_numeral => code_numeral => (bool * term list) option" 
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where "exhaustive_code_numeral' f d i = 
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(if d < i then None 
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else (f i orelse exhaustive_code_numeral' f d (i + 1)))" 
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by pat_completeness auto 
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termination 
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by (relation "measure (%(_, d, i). Code_Numeral.nat_of (d + 1  i))") auto 
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definition "exhaustive f d = exhaustive_code_numeral' f d 0" 
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instance .. 
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end 
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instantiation nat :: exhaustive 
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begin 
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definition "exhaustive f d = exhaustive (%x. f (Code_Numeral.nat_of x)) d" 
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instance .. 
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end 
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instantiation nat :: full_exhaustive 
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begin 
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definition "full_exhaustive f d = full_exhaustive (%(x, xt). f (Code_Numeral.nat_of x, %_. Code_Evaluation.term_of (Code_Numeral.nat_of x))) d" 
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instance .. 
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end 
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instantiation int :: exhaustive 
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begin 
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function exhaustive' :: "(int => (bool * term list) option) => int => int => (bool * term list) option" 
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where "exhaustive' f d i = (if d < i then None else (f i orelse exhaustive' f d (i + 1)))" 
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by pat_completeness auto 
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termination 
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by (relation "measure (%(_, d, i). nat (d + 1  i))") auto 
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definition "exhaustive f d = exhaustive' f (Code_Numeral.int_of d) ( (Code_Numeral.int_of d))" 
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instance .. 
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end 
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instantiation int :: full_exhaustive 
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begin 
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function full_exhaustive' :: "(int * (unit => term) => (bool * term list) option) => int => int => (bool * term list) option" 
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where "full_exhaustive' f d i = (if d < i then None else (case f (i, %_. Code_Evaluation.term_of i) of Some t => Some t  None => full_exhaustive' f d (i + 1)))" 
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by pat_completeness auto 

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by (relation "measure (%(_, d, i). nat (d + 1  i))") auto 

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definition "full_exhaustive f d = full_exhaustive' f (Code_Numeral.int_of d) ( (Code_Numeral.int_of d))" 

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instance .. 
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end 
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instantiation prod :: (exhaustive, exhaustive) exhaustive 
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begin 
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definition 
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"exhaustive f d = exhaustive (%x. exhaustive (%y. f ((x, y))) d) d" 
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instance .. 
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end 
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instantiation prod :: (full_exhaustive, full_exhaustive) full_exhaustive 
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begin 
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definition 
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"full_exhaustive f d = full_exhaustive (%(x, t1). full_exhaustive (%(y, t2). f ((x, y), 

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%u. let T1 = (Typerep.typerep (TYPE('a))); 
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T2 = (Typerep.typerep (TYPE('b))) 
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in Code_Evaluation.App (Code_Evaluation.App ( 
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Code_Evaluation.Const (STR ''Product_Type.Pair'') 
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(Typerep.Typerep (STR ''fun'') [T1, Typerep.Typerep (STR ''fun'') [T2, Typerep.Typerep (STR ''Product_Type.prod'') [T1, T2]]])) 
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(t1 ())) (t2 ()))) d) d" 
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instance .. 
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end 
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instantiation "fun" :: ("{equal, exhaustive}", exhaustive) exhaustive 
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begin 
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fun exhaustive_fun' :: "(('a => 'b) => (bool * term list) option) => code_numeral => code_numeral => (bool * term list) option" 
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"exhaustive_fun' f i d = (exhaustive (%b. f (%_. b)) d) 

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orelse (if i > 1 then 

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exhaustive_fun' (%g. exhaustive (%a. exhaustive (%b. 

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f (g(a := b))) d) d) (i  1) d else None)" 

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definition exhaustive_fun :: "(('a => 'b) => (bool * term list) option) => code_numeral => (bool * term list) option" 
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where 
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"exhaustive_fun f d = exhaustive_fun' f d d" 
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instance .. 
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end 
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instantiation "fun" :: ("{equal, full_exhaustive}", full_exhaustive) full_exhaustive 
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begin 
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fun full_exhaustive_fun' :: "(('a => 'b) * (unit => term) => (bool * term list) option) => code_numeral => code_numeral => (bool * term list) option" 
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"full_exhaustive_fun' f i d = (full_exhaustive (%(b, t). f (%_. b, %_. Code_Evaluation.Abs (STR ''x'') (Typerep.typerep TYPE('a)) (t ()))) d) 

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orelse (if i > 1 then 
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full_exhaustive_fun' (%(g, gt). full_exhaustive (%(a, at). full_exhaustive (%(b, bt). 
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f (g(a := b), 
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(%_. let A = (Typerep.typerep (TYPE('a))); 
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B = (Typerep.typerep (TYPE('b))); 
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fun = (%T U. Typerep.Typerep (STR ''fun'') [T, U]) 
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in 
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Code_Evaluation.App (Code_Evaluation.App (Code_Evaluation.App 
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(Code_Evaluation.Const (STR ''Fun.fun_upd'') (fun (fun A B) (fun A (fun B (fun A B))))) 
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(gt ())) (at ())) (bt ())))) d) d) (i  1) d else None)" 
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definition full_exhaustive_fun :: "(('a => 'b) * (unit => term) => (bool * term list) option) => code_numeral => (bool * term list) option" 
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where 
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"full_exhaustive_fun f d = full_exhaustive_fun' f d d" 
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instance .. 
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end 
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subsubsection {* A smarter enumeration scheme for functions over finite datatypes *} 
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class check_all = enum + term_of + 
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fixes enum_term_of :: "'a itself \<Rightarrow> unit \<Rightarrow> term list" 
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fun check_all_n_lists :: "(('a :: check_all) list * (unit \<Rightarrow> term list) \<Rightarrow> (bool * term list) option) \<Rightarrow> code_numeral \<Rightarrow> (bool * term list) option" 
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where 
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"check_all_n_lists f n = 
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(if n = 0 then f ([], (%_. [])) else check_all (%(x, xt). check_all_n_lists (%(xs, xst). f ((x # xs), (%_. (xt () # xst ())))) (n  1)))" 
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definition mk_map_term :: " (unit \<Rightarrow> typerep) \<Rightarrow> (unit \<Rightarrow> typerep) \<Rightarrow> (unit \<Rightarrow> term list) \<Rightarrow> (unit \<Rightarrow> term list) \<Rightarrow> unit \<Rightarrow> term" 
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"mk_map_term T1 T2 domm rng = 
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(%_. let T1 = T1 (); 
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T2 = T2 (); 
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update_term = (%g (a, b). 
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Code_Evaluation.App (Code_Evaluation.App (Code_Evaluation.App 
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(Code_Evaluation.Const (STR ''Fun.fun_upd'') 
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(Typerep.Typerep (STR ''fun'') [Typerep.Typerep (STR ''fun'') [T1, T2], 
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Typerep.Typerep (STR ''fun'') [T1, 
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Typerep.Typerep (STR ''fun'') [T2, Typerep.Typerep (STR ''fun'') [T1, T2]]]])) 
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g) a) b) 
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in 
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List.foldl update_term (Code_Evaluation.Abs (STR ''x'') T1 (Code_Evaluation.Const (STR ''HOL.undefined'') T2)) (zip (domm ()) (rng ())))" 
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instantiation "fun" :: ("{equal, check_all}", check_all) check_all 
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begin 
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definition 
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"check_all f = 
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(let 
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mk_term = mk_map_term (%_. Typerep.typerep (TYPE('a))) (%_. Typerep.typerep (TYPE('b))) (enum_term_of (TYPE('a))); 
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enum = (Enum.enum :: 'a list) 
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in check_all_n_lists (\<lambda>(ys, yst). f (the o map_of (zip enum ys), mk_term yst)) (Code_Numeral.of_nat (length enum)))" 
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definition enum_term_of_fun :: "('a => 'b) itself => unit => term list" 
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where 
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"enum_term_of_fun = (%_ _. let 
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enum_term_of_a = enum_term_of (TYPE('a)); 
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mk_term = mk_map_term (%_. Typerep.typerep (TYPE('a))) (%_. Typerep.typerep (TYPE('b))) enum_term_of_a 
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in map (%ys. mk_term (%_. ys) ()) (Enum.n_lists (length (enum_term_of_a ())) (enum_term_of (TYPE('b)) ())))" 
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instance .. 
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end 
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instantiation unit :: check_all 
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begin 
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definition 
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"check_all f = f (Code_Evaluation.valtermify ())" 
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definition enum_term_of_unit :: "unit itself => unit => term list" 
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where 
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"enum_term_of_unit = (%_ _. [Code_Evaluation.term_of ()])" 
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instance .. 
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end 
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instantiation bool :: check_all 
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begin 
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definition 
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"check_all f = (case f (Code_Evaluation.valtermify False) of Some x' \<Rightarrow> Some x'  None \<Rightarrow> f (Code_Evaluation.valtermify True))" 
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definition enum_term_of_bool :: "bool itself => unit => term list" 
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where 
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"enum_term_of_bool = (%_ _. map Code_Evaluation.term_of (Enum.enum :: bool list))" 
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instance .. 
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end 
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instantiation prod :: (check_all, check_all) check_all 
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begin 
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definition 
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"check_all f = check_all (%(x, t1). check_all (%(y, t2). f ((x, y), 
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%u. let T1 = (Typerep.typerep (TYPE('a))); 
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T2 = (Typerep.typerep (TYPE('b))) 
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in Code_Evaluation.App (Code_Evaluation.App ( 
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Code_Evaluation.Const (STR ''Product_Type.Pair'') 
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(Typerep.Typerep (STR ''fun'') [T1, Typerep.Typerep (STR ''fun'') [T2, Typerep.Typerep (STR ''Product_Type.prod'') [T1, T2]]])) 
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(t1 ())) (t2 ()))))" 
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definition enum_term_of_prod :: "('a * 'b) itself => unit => term list" 
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where 
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"enum_term_of_prod = (%_ _. map (%(x, y). 
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let T1 = (Typerep.typerep (TYPE('a))); 
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T2 = (Typerep.typerep (TYPE('b))) 
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in Code_Evaluation.App (Code_Evaluation.App ( 
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Code_Evaluation.Const (STR ''Product_Type.Pair'') 
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(Typerep.Typerep (STR ''fun'') [T1, Typerep.Typerep (STR ''fun'') [T2, Typerep.Typerep (STR ''Product_Type.prod'') [T1, T2]]])) x) y) 
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(Enum.product (enum_term_of (TYPE('a)) ()) (enum_term_of (TYPE('b)) ()))) " 
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instance .. 
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end 
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instantiation sum :: (check_all, check_all) check_all 
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begin 
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definition 
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"check_all f = (case check_all (%(a, t). f (Inl a, %_. 
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let T1 = (Typerep.typerep (TYPE('a))); 
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T2 = (Typerep.typerep (TYPE('b))) 
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in Code_Evaluation.App (Code_Evaluation.Const (STR ''Sum_Type.Inl'') 
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(Typerep.Typerep (STR ''fun'') [T1, Typerep.Typerep (STR ''Sum_Type.sum'') [T1, T2]])) (t ()))) of Some x' => Some x' 
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 None => check_all (%(b, t). f (Inr b, %_. let 
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T1 = (Typerep.typerep (TYPE('a))); 
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T2 = (Typerep.typerep (TYPE('b))) 
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in Code_Evaluation.App (Code_Evaluation.Const (STR ''Sum_Type.Inr'') 
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(Typerep.Typerep (STR ''fun'') [T2, Typerep.Typerep (STR ''Sum_Type.sum'') [T1, T2]])) (t ()))))" 
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definition enum_term_of_sum :: "('a + 'b) itself => unit => term list" 
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where 
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"enum_term_of_sum = (%_ _. 
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let 
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T1 = (Typerep.typerep (TYPE('a))); 
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T2 = (Typerep.typerep (TYPE('b))) 
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in 
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map (Code_Evaluation.App (Code_Evaluation.Const (STR ''Sum_Type.Inl'') 
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(Typerep.Typerep (STR ''fun'') [T1, Typerep.Typerep (STR ''Sum_Type.sum'') [T1, T2]]))) 
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(enum_term_of (TYPE('a)) ()) @ 
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map (Code_Evaluation.App (Code_Evaluation.Const (STR ''Sum_Type.Inr'') 
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(Typerep.Typerep (STR ''fun'') [T2, Typerep.Typerep (STR ''Sum_Type.sum'') [T1, T2]]))) 
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(enum_term_of (TYPE('b)) ()))" 
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instance .. 
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end 
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instantiation nibble :: check_all 
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begin 
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319 

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definition 
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"check_all f = 
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f (Code_Evaluation.valtermify Nibble0) orelse 
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f (Code_Evaluation.valtermify Nibble1) orelse 
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f (Code_Evaluation.valtermify Nibble2) orelse 
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f (Code_Evaluation.valtermify Nibble3) orelse 
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f (Code_Evaluation.valtermify Nibble4) orelse 
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f (Code_Evaluation.valtermify Nibble5) orelse 
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f (Code_Evaluation.valtermify Nibble6) orelse 
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f (Code_Evaluation.valtermify Nibble7) orelse 
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f (Code_Evaluation.valtermify Nibble8) orelse 
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f (Code_Evaluation.valtermify Nibble9) orelse 
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f (Code_Evaluation.valtermify NibbleA) orelse 
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f (Code_Evaluation.valtermify NibbleB) orelse 
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f (Code_Evaluation.valtermify NibbleC) orelse 
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f (Code_Evaluation.valtermify NibbleD) orelse 
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f (Code_Evaluation.valtermify NibbleE) orelse 
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f (Code_Evaluation.valtermify NibbleF)" 
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338 

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definition enum_term_of_nibble :: "nibble itself => unit => term list" 
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where 
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"enum_term_of_nibble = (%_ _. map Code_Evaluation.term_of (Enum.enum :: nibble list))" 
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342 

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instance .. 
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344 

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end 
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346 

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347 

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instantiation char :: check_all 
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begin 
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350 

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351 
definition 
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"check_all f = check_all (%(x, t1). check_all (%(y, t2). f (Char x y, %_. Code_Evaluation.App (Code_Evaluation.App (Code_Evaluation.term_of Char) (t1 ())) (t2 ()))))" 
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353 

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definition enum_term_of_char :: "char itself => unit => term list" 
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355 
where 
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"enum_term_of_char = (%_ _. map Code_Evaluation.term_of (Enum.enum :: char list))" 
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357 

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358 
instance .. 
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359 

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360 
end 
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361 

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362 

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instantiation option :: (check_all) check_all 
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364 
begin 
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365 

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366 
definition 
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"check_all f = f (Code_Evaluation.valtermify (None :: 'a option)) orelse check_all (%(x, t). f (Some x, %_. Code_Evaluation.App 
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(Code_Evaluation.Const (STR ''Option.option.Some'') 
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(Typerep.Typerep (STR ''fun'') [Typerep.typerep TYPE('a), Typerep.Typerep (STR ''Option.option'') [Typerep.typerep TYPE('a)]])) (t ())))" 
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370 

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definition enum_term_of_option :: "'a option itself => unit => term list" 
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372 
where 
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"enum_term_of_option = (% _ _. (Code_Evaluation.term_of (None :: 'a option)) # (map (Code_Evaluation.App (Code_Evaluation.Const (STR ''Option.option.Some'') 
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(Typerep.Typerep (STR ''fun'') [Typerep.typerep TYPE('a), Typerep.Typerep (STR ''Option.option'') [Typerep.typerep TYPE('a)]]))) (enum_term_of (TYPE('a)) ())))" 
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375 

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376 
instance .. 
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377 

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378 
end 
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379 

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380 

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instantiation Enum.finite_1 :: check_all 
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382 
begin 
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383 

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384 
definition 
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385 
"check_all f = f (Code_Evaluation.valtermify Enum.finite_1.a\<^isub>1)" 
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386 

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387 
definition enum_term_of_finite_1 :: "Enum.finite_1 itself => unit => term list" 
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388 
where 
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389 
"enum_term_of_finite_1 = (%_ _. [Code_Evaluation.term_of Enum.finite_1.a\<^isub>1])" 
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390 

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391 
instance .. 
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392 

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393 
end 
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394 

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395 
instantiation Enum.finite_2 :: check_all 
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396 
begin 
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397 

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398 
definition 
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399 
"check_all f = (case f (Code_Evaluation.valtermify Enum.finite_2.a\<^isub>1) of Some x' \<Rightarrow> Some x'  None \<Rightarrow> f (Code_Evaluation.valtermify Enum.finite_2.a\<^isub>2))" 
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400 

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401 
definition enum_term_of_finite_2 :: "Enum.finite_2 itself => unit => term list" 
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402 
where 
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403 
"enum_term_of_finite_2 = (%_ _. map Code_Evaluation.term_of (Enum.enum :: Enum.finite_2 list))" 
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404 

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405 
instance .. 
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406 

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407 
end 
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408 

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409 
instantiation Enum.finite_3 :: check_all 
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410 
begin 
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411 

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412 
definition 
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413 
"check_all f = (case f (Code_Evaluation.valtermify Enum.finite_3.a\<^isub>1) of Some x' \<Rightarrow> Some x'  None \<Rightarrow> (case f (Code_Evaluation.valtermify Enum.finite_3.a\<^isub>2) of Some x' \<Rightarrow> Some x'  None \<Rightarrow> f (Code_Evaluation.valtermify Enum.finite_3.a\<^isub>3)))" 
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414 

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415 
definition enum_term_of_finite_3 :: "Enum.finite_3 itself => unit => term list" 
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416 
where 
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417 
"enum_term_of_finite_3 = (%_ _. map Code_Evaluation.term_of (Enum.enum :: Enum.finite_3 list))" 
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418 

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419 
instance .. 
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420 

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421 
end 
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422 

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423 
subsection {* Bounded universal quantifiers *} 
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424 

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425 
class bounded_forall = 
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426 
fixes bounded_forall :: "('a \<Rightarrow> bool) \<Rightarrow> code_numeral \<Rightarrow> bool" 
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427 

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428 
subsection {* Fast exhaustive combinators *} 
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429 

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430 
class fast_exhaustive = term_of + 
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431 
fixes fast_exhaustive :: "('a \<Rightarrow> unit) \<Rightarrow> code_numeral \<Rightarrow> unit" 
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432 

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433 
axiomatization throw_Counterexample :: "term list => unit" 
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434 
axiomatization catch_Counterexample :: "unit => term list option" 
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435 

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436 
code_const throw_Counterexample 
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437 
(Quickcheck "raise (Exhaustive'_Generators.Counterexample _)") 
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theory definitions for fast exhaustive quickcheck compilation
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438 
code_const catch_Counterexample 
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theory definitions for fast exhaustive quickcheck compilation
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439 
(Quickcheck "(((_); NONE) handle Exhaustive'_Generators.Counterexample ts => SOME ts)") 
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440 

45450  441 
subsection {* Continuation passing style functions as plus monad *} 
442 

443 
type_synonym 'a cps = "('a => term list option) => term list option" 

444 

445 
definition cps_empty :: "'a cps" 

446 
where 

447 
"cps_empty = (%cont. None)" 

448 

449 
definition cps_single :: "'a => 'a cps" 

450 
where 

451 
"cps_single v = (%cont. cont v)" 

452 

453 
definition cps_bind :: "'a cps => ('a => 'b cps) => 'b cps" 

454 
where 

455 
"cps_bind m f = (%cont. m (%a. (f a) cont))" 

456 

457 
definition cps_plus :: "'a cps => 'a cps => 'a cps" 

458 
where 

459 
"cps_plus a b = (%c. case a c of None => b c  Some x => Some x)" 

460 

461 
definition cps_if :: "bool => unit cps" 

462 
where 

463 
"cps_if b = (if b then cps_single () else cps_empty)" 

464 

465 
definition cps_not :: "unit cps => unit cps" 

466 
where 

467 
"cps_not n = (%c. case n (%u. Some []) of None => c ()  Some _ => None)" 

468 

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469 
type_synonym 'a pos_bound_cps = "('a => (bool * term list) option) => code_numeral => (bool * term list) option" 
45450  470 

471 
definition pos_bound_cps_empty :: "'a pos_bound_cps" 

472 
where 

473 
"pos_bound_cps_empty = (%cont i. None)" 

474 

475 
definition pos_bound_cps_single :: "'a => 'a pos_bound_cps" 

476 
where 

477 
"pos_bound_cps_single v = (%cont i. cont v)" 

478 

479 
definition pos_bound_cps_bind :: "'a pos_bound_cps => ('a => 'b pos_bound_cps) => 'b pos_bound_cps" 

480 
where 

481 
"pos_bound_cps_bind m f = (%cont i. if i = 0 then None else (m (%a. (f a) cont i) (i  1)))" 

482 

483 
definition pos_bound_cps_plus :: "'a pos_bound_cps => 'a pos_bound_cps => 'a pos_bound_cps" 

484 
where 

485 
"pos_bound_cps_plus a b = (%c i. case a c i of None => b c i  Some x => Some x)" 

486 

487 
definition pos_bound_cps_if :: "bool => unit pos_bound_cps" 

488 
where 

489 
"pos_bound_cps_if b = (if b then pos_bound_cps_single () else pos_bound_cps_empty)" 

490 

491 
datatype 'a unknown = Unknown  Known 'a 

492 
datatype 'a three_valued = Unknown_value  Value 'a  No_value 

493 

494 
type_synonym 'a neg_bound_cps = "('a unknown => term list three_valued) => code_numeral => term list three_valued" 

495 

496 
definition neg_bound_cps_empty :: "'a neg_bound_cps" 

497 
where 

498 
"neg_bound_cps_empty = (%cont i. No_value)" 

499 

500 
definition neg_bound_cps_single :: "'a => 'a neg_bound_cps" 

501 
where 

502 
"neg_bound_cps_single v = (%cont i. cont (Known v))" 

503 

504 
definition neg_bound_cps_bind :: "'a neg_bound_cps => ('a => 'b neg_bound_cps) => 'b neg_bound_cps" 

505 
where 

506 
"neg_bound_cps_bind m f = (%cont i. if i = 0 then cont Unknown else m (%a. case a of Unknown => cont Unknown  Known a' => f a' cont i) (i  1))" 

507 

508 
definition neg_bound_cps_plus :: "'a neg_bound_cps => 'a neg_bound_cps => 'a neg_bound_cps" 

509 
where 

510 
"neg_bound_cps_plus a b = (%c i. case a c i of No_value => b c i  Value x => Value x  Unknown_value => (case b c i of No_value => Unknown_value  Value x => Value x  Unknown_value => Unknown_value))" 

511 

512 
definition neg_bound_cps_if :: "bool => unit neg_bound_cps" 

513 
where 

514 
"neg_bound_cps_if b = (if b then neg_bound_cps_single () else neg_bound_cps_empty)" 

515 

516 
definition neg_bound_cps_not :: "unit pos_bound_cps => unit neg_bound_cps" 

517 
where 

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518 
"neg_bound_cps_not n = (%c i. case n (%u. Some (True, [])) i of None => c (Known ())  Some _ => No_value)" 
45450  519 

520 
definition pos_bound_cps_not :: "unit neg_bound_cps => unit pos_bound_cps" 

521 
where 

522 
"pos_bound_cps_not n = (%c i. case n (%u. Value []) i of No_value => c ()  Value _ => None  Unknown_value => None)" 

523 

40620  524 
subsection {* Defining combinators for any firstorder data type *} 
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525 

45697
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526 
axiomatization unknown :: 'a 
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527 

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528 
notation (output) unknown ("?") 
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adding a exceptionsafe term reification step in quickcheck; adding examples
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changeset

529 

41920
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moving exhaustive_generators.ML to Quickcheck directory
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diff
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530 
use "Tools/Quickcheck/exhaustive_generators.ML" 
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531 

41918  532 
setup {* Exhaustive_Generators.setup *} 
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533 

43882
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renaming quickcheck_tester to quickcheck_batch_tester; tuned
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diff
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534 
declare [[quickcheck_batch_tester = exhaustive]] 
40915
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declaring quickcheck testers as default after their setup
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diff
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535 

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hiding internal constants and facts more properly
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536 
hide_fact orelse_def 
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adding check_all instances for a few more finite types in smallcheck
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537 
no_notation orelse (infixr "orelse" 55) 
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hiding constants and facts in the Quickcheck_Exhaustive and Quickcheck_Narrowing theory;
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538 

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hiding constants and facts in the Quickcheck_Exhaustive and Quickcheck_Narrowing theory;
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539 
hide_fact 
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hiding constants and facts in the Quickcheck_Exhaustive and Quickcheck_Narrowing theory;
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diff
changeset

540 
exhaustive'_def 
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hiding constants and facts in the Quickcheck_Exhaustive and Quickcheck_Narrowing theory;
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541 
exhaustive_code_numeral'_def 
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hiding constants and facts in the Quickcheck_Exhaustive and Quickcheck_Narrowing theory;
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542 

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hiding constants and facts in the Quickcheck_Exhaustive and Quickcheck_Narrowing theory;
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diff
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543 
hide_const (open) 
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hiding constants and facts in the Quickcheck_Exhaustive and Quickcheck_Narrowing theory;
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diff
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544 
exhaustive full_exhaustive exhaustive' exhaustive_code_numeral' full_exhaustive_code_numeral' 
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hiding constants and facts in the Quickcheck_Exhaustive and Quickcheck_Narrowing theory;
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545 
throw_Counterexample catch_Counterexample 
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hiding constants and facts in the Quickcheck_Exhaustive and Quickcheck_Narrowing theory;
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546 
check_all enum_term_of 
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hiding constants and facts in the Quickcheck_Exhaustive and Quickcheck_Narrowing theory;
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547 
orelse unknown mk_map_term check_all_n_lists 
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adding code and theory for smallvalue generators, but do not setup the interpretation yet
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548 

45450  549 
hide_type (open) cps pos_bound_cps neg_bound_cps unknown three_valued 
550 
hide_const (open) cps_empty cps_single cps_bind cps_plus cps_if cps_not 

551 
pos_bound_cps_empty pos_bound_cps_single pos_bound_cps_bind pos_bound_cps_plus pos_bound_cps_if pos_bound_cps_not 

552 
neg_bound_cps_empty neg_bound_cps_single neg_bound_cps_bind neg_bound_cps_plus neg_bound_cps_if neg_bound_cps_not 

553 
Unknown Known Unknown_value Value No_value 

554 

555 
end 