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