YES(?,O(n^2)) TRS: { __(X, nil()) -> X, __(nil(), X) -> X, __(__(X, Y), Z) -> __(X, __(Y, Z)), U12 tt() -> tt(), U11 tt() -> U12 tt(), isNePal __(I, __(P, I)) -> U11 tt() } DUP: We consider a non-duplicating system. Trs: { __(X, nil()) -> X, __(nil(), X) -> X, __(__(X, Y), Z) -> __(X, __(Y, Z)), U12 tt() -> tt(), U11 tt() -> U12 tt(), isNePal __(I, __(P, I)) -> U11 tt() } Matrix Interpretation: Interpretation class: triangular [X1] [1 2][X1] [1] [isNePal]([X0]) = [0 1][X0] + [1] [X1] [1 2][X1] [2] [U11]([X0]) = [0 1][X0] + [2] [0] [tt] = [3] [X1] [1 0][X1] [2] [U12]([X0]) = [0 1][X0] + [2] [X3] [X1] [1 2][X3] [1 0][X1] [0] [__]([X2], [X0]) = [0 1][X2] + [0 1][X0] + [2] [2] [nil] = [3] Qed