YES(?,O(n^2)) TRS: { a__zeros() -> cons(0(), zeros()), a__zeros() -> zeros(), mark cons(X1, X2) -> cons(mark X1, X2), mark 0() -> 0(), mark zeros() -> a__zeros(), mark tail X -> a__tail mark X, a__tail X -> tail X, a__tail cons(X, XS) -> mark XS } DUP: We consider a non-duplicating system. Trs: { a__zeros() -> cons(0(), zeros()), a__zeros() -> zeros(), mark cons(X1, X2) -> cons(mark X1, X2), mark 0() -> 0(), mark zeros() -> a__zeros(), mark tail X -> a__tail mark X, a__tail X -> tail X, a__tail cons(X, XS) -> mark XS } Matrix Interpretation: Interpretation class: triangular [X1] [1 3][X1] [0] [tail]([X0]) = [0 1][X0] + [3] [X1] [1 3][X1] [1] [a__tail]([X0]) = [0 1][X0] + [3] [X1] [1 3][X1] [1] [mark]([X0]) = [0 1][X0] + [1] [3] [a__zeros] = [2] [1] [zeros] = [1] [0] [0] = [0] [X3] [X1] [1 0][X3] [1 0][X1] [1] [cons]([X2], [X0]) = [0 1][X2] + [0 1][X0] + [1] Qed