MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { plus(0(), x) -> x , plus(s(x), y) -> s(plus(x, y)) , times(0(), y) -> 0() , times(s(x), y) -> plus(y, times(x, y)) , exp(x, 0()) -> s(0()) , exp(x, s(y)) -> times(x, exp(x, y)) , ge(x, 0()) -> true() , ge(0(), s(x)) -> false() , ge(s(x), s(y)) -> ge(x, y) , tower(x, y) -> towerIter(0(), x, y, s(0())) , towerIter(c, x, y, z) -> help(ge(c, x), c, x, y, z) , help(true(), c, x, y, z) -> z , help(false(), c, x, y, z) -> towerIter(s(c), x, y, exp(y, z)) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..