YES O(n^3) TRS: { *(x, 0()) -> 0(), *(1(), y) -> y, *(*(x, y), z) -> *(x, *(y, z)), *(i(x), x) -> 1() } DUP: We consider a non-duplicating system. Trs: { *(x, 0()) -> 0(), *(1(), y) -> y, *(*(x, y), z) -> *(x, *(y, z)), *(i(x), x) -> 1() } Matrix Interpretation: Interpretation class: triangular [0] [0] = [0] [0] [X2] [1 0 0][X2] [0] [i]([X1]) = [0 0 0][X1] + [0] [X0] [0 0 0][X0] [0] [X5] [X2] [1 0 1][X5] [1 0 0][X2] [1] [*]([X4], [X1]) = [0 0 0][X4] + [0 1 0][X1] + [0] [X3] [X0] [0 0 1][X3] [0 0 1][X0] [1] [0] [1] = [0] [0] Qed