MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { lcs(x, e()) -> 0() , lcs(e(), y) -> 0() , lcs(a(x), a(y)) -> s(lcs(x, y)) , lcs(a(x), b(y)) -> max(lcs(x, b(y)), lcs(a(x), y)) , lcs(b(x), a(y)) -> max(lcs(x, a(y)), lcs(b(x), y)) , lcs(b(x), b(y)) -> s(lcs(x, y)) , max(x, 0()) -> 0() , max(0(), y) -> 0() , max(s(x), s(y)) -> max(x, y) } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..