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