YES O(n^2) TRS: { not(false()) -> true(), not(true()) -> false(), evenodd(x, 0()) -> not(evenodd(x, s(0()))), evenodd(s(x), s(0())) -> evenodd(x, 0()), evenodd(0(), s(0())) -> false() } DUP: We consider a non-duplicating system. Trs: { not(false()) -> true(), not(true()) -> false(), evenodd(x, 0()) -> not(evenodd(x, s(0()))), evenodd(s(x), s(0())) -> evenodd(x, 0()), evenodd(0(), s(0())) -> false() } Matrix Interpretation: Interpretation class: triangular [0] [0] = [3] [X1] [1 0][X1] [5] [s]([X0]) = [0 0][X0] + [0] [X3] [X1] [1 0][X3] [1 3][X1] [0] [evenodd]([X2], [X0]) = [0 0][X2] + [0 0][X0] + [1] [0] [true] = [1] [X1] [1 1][X1] [0] [not]([X0]) = [0 1][X0] + [0] [0] [false] = [1] Qed