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