YES TRS: f(0()) -> s(0()) f(s(0())) -> s(0()) f(s(s(x))) -> f(f(s(x))) linear polynomial interpretations on N: f_A(x1) = 4 f#_A(x1) = 2 0_A = 1 0#_A = 0 s_A(x1) = 3 s#_A(x1) = x1 precedence: f > s > 0