YES(?,O(n^1)) TRS: { f(X, X) -> c X, f(X, c X) -> f(s X, X), f(s X, X) -> f(X, a X)} DUP: We consider a non-duplicating system. Trs: { f(X, X) -> c X, f(X, c X) -> f(s X, X), f(s X, X) -> f(X, a X)} Natural interpretation: Strict: { f(X, X) -> c X, f(X, c X) -> f(s X, X), f(s X, X) -> f(X, a X)} Weak: {} Interpretation class: stronglylinear [c](X0) = + 1*X0 + 3 [s](X0) = + 1*X0 + 2 [a](X0) = + 1*X0 + 1 [f](X1, X0) = + 1*X0 + 1*X1 + 4 Qed