I need to write an implementation using foldl, and a separate implementation using foldr, of a function, "remdups xs", that removes adjacent duplicate items from the list xs.  For example, remdups [1,2,2,3,3,3,1,1]= [1,2,3,1].

My approach is first to write a direct recursion, as follows:

   remdups               :: (Eq a) => [a] -> [a]
   remdups []            =  []
   remdups (x : [])      =  [x]
   remdups (x : xx : xs) =  if x == xx then remdups (x : xs) else x : remdups (xx : xs)

This code works, but it has three cases, not usual two, namely [] and (x : xs).

What, if any, is the implementation using only two cases?

Also, if three cases are required, then how can it be implemented using foldr, and how using foldl?

Thanks.