(VAR b x y )
(RULES 
        half(0) -> 0
        half(s(0)) -> 0
        half(s(s(x))) -> s(half(x))
        le(0, y) -> true
        le(s(x), 0) -> false
        le(s(x), s(y)) -> le(x, y)
        inc(s(x)) -> s(inc(x))
        inc(0) -> s(0)
        logarithm(x) -> logIter(x, 0)
        logIter(x, y) -> if(le(s(0), x), le(s(s(0)), x), half(x), inc(y))
        if(false, b, x, y) -> logZeroError
        if(true, false, x, s(y)) -> y
        if(true, true, x, y) -> logIter(x, y)
        f -> g
        f -> h
        
)