YES O(n^3) TRS: { f(s(X)) -> f(X), g(cons(s(X), Y)) -> s(X), g(cons(0(), Y)) -> g(Y), h(cons(X, Y)) -> h(g(cons(X, Y))) } DUP: We consider a non-duplicating system. Trs: { f(s(X)) -> f(X), g(cons(s(X), Y)) -> s(X), g(cons(0(), Y)) -> g(Y), h(cons(X, Y)) -> h(g(cons(X, Y))) } Matrix Interpretation: Interpretation class: triangular [X2] [1 1 0][X2] [0] [h]([X1]) = [0 1 1][X1] + [0] [X0] [0 0 0][X0] [0] [0] [0] = [0] [1] [X5] [X2] [1 0 1][X5] [1 0 0][X2] [0] [cons]([X4], [X1]) = [0 0 1][X4] + [0 0 1][X1] + [1] [X3] [X0] [0 0 1][X3] [0 0 1][X0] [0] [X2] [1 0 0][X2] [0] [g]([X1]) = [0 0 0][X1] + [0] [X0] [0 0 0][X0] [1] [X2] [1 0 0][X2] [1] [s]([X1]) = [0 0 0][X1] + [0] [X0] [0 0 0][X0] [1] [X2] [1 0 0][X2] [0] [f]([X1]) = [0 0 0][X1] + [0] [X0] [0 0 0][X0] [0] Qed