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