TRS: { lt(0(), s(x)) -> true(), lt(x, 0()) -> false(), lt(s(x), s(y)) -> lt(x, y), logarithm(x) -> ifa(lt(0(), x), x), ifa(true(), x) -> help(x, 1()), ifa(false(), x) -> logZeroError(), help(x, y) -> ifb(lt(y, x), x, y), ifb(true(), x, y) -> help(half(x), s(y)), ifb(false(), x, y) -> y, half(0()) -> 0(), half(s(0())) -> 0(), half(s(s(x))) -> s(half(x))} Fail