minimum_2.hs

contents

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

foldl1 :: (a  ->  a  ->  a)  ->  (List a)  ->  a;
foldl1 f (Cons x xs) = foldl f x xs;

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

min0 x y MyTrue = y;

otherwise :: MyBool;
otherwise = MyTrue;

min1 x y MyTrue = x;
min1 x y MyFalse = min0 x y otherwise;

min2 x y = min1 x y (ltEsMyBool x y);

minMyBool :: MyBool  ->  MyBool  ->  MyBool
minMyBool x y = min2 x y;

minimumMyBool :: (List MyBool)  ->  MyBool
minimumMyBool = foldl1 minMyBool;

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