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