diff options
Diffstat (limited to 'files/practicum/BewijsMeppenEnTippen.icl')
| -rw-r--r-- | files/practicum/BewijsMeppenEnTippen.icl | 29 |
1 files changed, 0 insertions, 29 deletions
diff --git a/files/practicum/BewijsMeppenEnTippen.icl b/files/practicum/BewijsMeppenEnTippen.icl deleted file mode 100644 index 720ff4d..0000000 --- a/files/practicum/BewijsMeppenEnTippen.icl +++ /dev/null @@ -1,29 +0,0 @@ -Zij gegeven:
-
-:: BTree a = Tip a | Bin (BTree a) (BTree a)
-
-map :: (a -> b) [a] -> [b]
-map f [] = [] (1.)
-map f [x:xs] = [f x : map f xs] (2.)
-
-mapbtree :: (a -> b) (BTree a) -> BTree b
-mapbtree f (Tip a) = Tip (f a) (3.)
-mapbtree f (Bin t1 t2) = Bin (mapbtree f t1) (mapbtree f t2) (4.)
-
-foldbtree :: (a a -> a) (BTree a) -> a
-foldbtree f (Tip x) = x (5.)
-foldbtree f (Bin t1 t2) = f (foldbtree f t1) (foldbtree f t2) (6.)
-
-tips :: (BTree a) -> [a]
-tips t = foldbtree (++) (mapbtree unit t) (7.)
-
-unit :: a -> [a]
-unit x = [x] (8.)
-
-
-Te bewijzen:
- voor alle functies f, voor alle eindige bomen t:
-
- map f (tips t) = tips (mapbtree f t)
-
-Bewijs:
|