YES(?,O(n^2)) TRS: { +(0(), y) -> y, +(s x, y) -> s +(x, y), -(x, 0()) -> x, -(0(), y) -> 0(), -(s x, s y) -> -(x, y) } DUP: We consider a non-duplicating system. Trs: { +(0(), y) -> y, +(s x, y) -> s +(x, y), -(x, 0()) -> x, -(0(), y) -> 0(), -(s x, s y) -> -(x, y) } Matrix Interpretation: Interpretation class: triangular [X3] [X1] [1 1][X3] [1 3][X1] [0] [-]([X2], [X0]) = [0 1][X2] + [0 1][X0] + [3] [X1] [1 0][X1] [2] [s]([X0]) = [0 1][X0] + [3] [1] [0] = [3] [X3] [X1] [1 1][X3] [1 0][X1] [0] [+]([X2], [X0]) = [0 1][X2] + [0 1][X0] + [1] Qed