YES O(n^4) TRS: { r1(empty(), a) -> a, r1(cons(x, k), a) -> r1(k, cons(x, a)), rev(ls) -> r1(ls, empty()) } DUP: We consider a non-duplicating system. Trs: { r1(empty(), a) -> a, r1(cons(x, k), a) -> r1(k, cons(x, a)), rev(ls) -> r1(ls, empty()) } Matrix Interpretation: Interpretation class: triangular [X7] [X3] [1 0 0 0][X7] [1 0 0 0][X3] [0] [X6] [X2] [0 0 0 1][X6] [0 1 0 0][X2] [1] [cons]([X5], [X1]) = [0 0 0 0][X5] + [0 0 1 0][X1] + [0] [X4] [X0] [0 0 0 1][X4] [0 0 0 1][X0] [0] [X3] [1 1 0 0][X3] [1] [X2] [0 1 0 1][X2] [1] [rev]([X1]) = [0 0 0 0][X1] + [0] [X0] [0 0 0 1][X0] [0] [0] [1] [empty] = [0] [0] [X7] [X3] [1 1 0 0][X7] [1 0 0 0][X3] [0] [X6] [X2] [0 1 0 1][X6] [0 1 0 0][X2] [0] [r1]([X5], [X1]) = [0 0 0 0][X5] + [0 0 1 0][X1] + [0] [X4] [X0] [0 0 0 1][X4] [0 0 0 1][X0] [0] Qed