(STRATEGY
    INNERMOST)

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