elem_3.hs

contents

{-# htermination (elemMyBool :: MyBool  ->  (List MyBool)  ->  MyBool) #-} 
import qualified Prelude 
data MyBool = MyTrue | MyFalse 
data List a = Cons a (List a) | Nil 
map :: (a  ->  b)  ->  (List a)  ->  (List b);
map f Nil = Nil;
map f (Cons x xs) = Cons (f x) (map f xs);

foldr :: (a  ->  b  ->  b)  ->  b  ->  (List a)  ->  b;
foldr f z Nil = z;
foldr f z (Cons x xs) = f x (foldr f z xs);

pePe :: MyBool  ->  MyBool  ->  MyBool;
pePe MyFalse x = x;
pePe MyTrue x = MyTrue;

or :: (List MyBool)  ->  MyBool;
or = foldr pePe MyFalse;

pt :: (c  ->  a)  ->  (b  ->  c)  ->  b  ->  a;
pt f g x = f (g x);

any :: (a  ->  MyBool)  ->  (List a)  ->  MyBool;
any p = pt or (map p);

esEsMyBool :: MyBool  ->  MyBool  ->  MyBool
esEsMyBool MyFalse MyFalse = MyTrue;
esEsMyBool MyFalse MyTrue = MyFalse;
esEsMyBool MyTrue MyFalse = MyFalse;
esEsMyBool MyTrue MyTrue = MyTrue;

elemMyBool :: MyBool  ->  (List MyBool)  ->  MyBool
elemMyBool = pt any esEsMyBool;

content may be truncated. 'popout' for larger text window.