YES O(n^3) TRS: { __(X, nil()) -> X, __(__(X, Y), Z) -> __(X, __(Y, Z)), __(nil(), X) -> X, U12(tt()) -> tt(), U11(tt()) -> U12(tt()), isNePal(__(I, __(P, I))) -> U11(tt()) } DUP: We consider a non-duplicating system. Trs: { __(X, nil()) -> X, __(__(X, Y), Z) -> __(X, __(Y, Z)), __(nil(), X) -> X, U12(tt()) -> tt(), U11(tt()) -> U12(tt()), isNePal(__(I, __(P, I))) -> U11(tt()) } Matrix Interpretation: Interpretation class: triangular [X2] [1 1 0][X2] [1] [isNePal]([X1]) = [0 0 0][X1] + [1] [X0] [0 0 0][X0] [1] [X2] [1 1 0][X2] [1] [U11]([X1]) = [0 1 0][X1] + [0] [X0] [0 0 0][X0] [1] [0] [tt] = [1] [0] [X2] [1 0 0][X2] [1] [U12]([X1]) = [0 0 0][X1] + [1] [X0] [0 0 0][X0] [1] [1] [nil] = [1] [0] [X5] [X2] [1 1 0][X5] [1 0 0][X2] [0] [__]([X4], [X1]) = [0 1 0][X4] + [0 1 0][X1] + [1] [X3] [X0] [0 0 1][X3] [0 0 1][X0] [0] Qed