YES O(n) 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()) } BOUND: Automaton: { prefix_0(6) -> 6, zWadr_0(6, 6) -> 6, from_0(6) -> 6, cons_2(6) -> 6, cons_1(6) -> 6, cons_0(6) -> 6, nil_1() -> 6, nil_0() -> 6, app_1(6, 6) -> 6, app_0(6, 6) -> 6 } Strict: {} Qed