diff --git a/core-elm/Automaton.elm b/core-elm/Automaton.elm
index 01f309e..477a1bb 100644
--- a/core-elm/Automaton.elm
+++ b/core-elm/Automaton.elm
@@ -9,41 +9,63 @@ data Automaton a b = Automaton (a -> (b, Automaton a b))
 run :: Automaton a b -> Signal a -> Signal b
 run :: OrderedContainer c => Automaton a b -> c a -> c b
 
-compose :: Automaton a b -> Automaton b c -> Automaton a c
+(>>>) :: Automaton a b -> Automaton b c -> Automaton a c
+(<<<) :: Automaton b c -> Automaton a b -> Automaton a c
 
 combine :: [Automaton a b] -> Automaton a [b]
 combine :: Container c => c (Automaton a b) -> Automaton a (c b)
 
 
-pure :: (a -> b) -> Automaton a b
+pure  :: (a -> b) -> Automaton a b
 init  :: b -> (a -> b -> b) -> Automaton a b
 init' :: s -> (a -> s -> (b,s)) -> Automaton a b
 
 count :: Automaton a Int
 
 draggable :: Form -> Automaton (Bool,(Int,Int)) Form
-foo :: (a -> b) -> Automaton b c -> Automaton a c
-bar :: Automaton a b -> (b -> c) -> Automaton a c
+
+(^>>) :: (a -> b) -> Automaton b c -> Automaton a c
+(>>^) :: Automaton a b -> (b -> c) -> Automaton a c
+
+(^<<) :: (b -> c) -> Automaton a b -> Automaton a c
+(<<^) :: Automaton b c -> (a -> b) -> Automaton a c
 
 --}
 
 
 run (Automaton m0) input =
-    lift fst $ foldp1 (\a (b, Automaton m) -> m a) m0 input
+  lift fst $ foldp' (\a (b, Automaton m) -> m a) m0 input
 
-compose (Automaton m1) (Automaton m2) =
-    Automaton 
+a1 >>> a2 =
+  let { Automaton m1 = a1 ; Automaton m2 = a2 } in
+  Automaton 
     (\a -> let (b,m1') = m1 a in
-           let (c,m2') = m2 b in (c, compose (Automaton m1') (Automaton m2')))
+           let (c,m2') = m2 b in (c, Automaton m1' >>> Automaton m2'))
+
+a2 <<< a1 = a1 >>> a2
+f  ^>> a  = pure f >>> a
+a  >>^ f  = a >>> pure f
+f  ^<< a  = a >>> pure f
+a  <<^ f  = pure f >>> a
 
 combine autos =
-    Automaton (\a -> let (bs,autos') = unzip $ map (\m -> m a) autos in
-                     (bs, combine autos'))
+  Automaton (\a -> let (bs,autos') = unzip $ map (\m -> m a) autos in
+                   (bs, combine autos'))
 
-init s step = 
-  Automaton (\a -> let s' = step a s in (s', init s' step))
+pure  f      = Automaton (\x -> (f x, pure f))
+init  s step = Automaton (\a -> let s'     = step a s in (s', init s' step))
+init' s step = Automaton (\a -> let (b,s') = step a s in (b , init s' step))
 
-init' s step =
-  Automaton (\a -> let (b,s') = step a s in (b, init s' step))
+count = init 0 (\_ c -> c + 1)
 
-count = init 0 (\_ c -> c + 1)
\ No newline at end of file
+
+
+{--- See the following papers for ideas on how to make this faster:
+
+- Functional Reactive Programming, Continued
+- Causal commutative arrows and their optimization
+
+Speeding things up is a really low priority. Language features and
+libraries with nice APIs and are way more important!
+
+--}
\ No newline at end of file