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