(STRATEGY
    INNERMOST)

(VAR
    x)
(DATATYPES
    A = µX.< 0, s(X) >)
(SIGNATURES
    half :: [A] -> A
    bits :: [A] -> A)
(RULES
    half(0()) -> 0()
    half(s(0())) -> 0()
    half(s(s(x))) -> s(half(x))
    bits(0()) -> 0()
    bits(s(x)) ->
      s(bits(half(s(x)))))