YES(?,O(n^1)) 830.18/297.05 YES(?,O(n^1)) 830.18/297.05 830.18/297.05 We are left with following problem, upon which TcT provides the 830.18/297.05 certificate YES(?,O(n^1)). 830.18/297.05 830.18/297.05 Strict Trs: 830.18/297.05 { f(a(), f(x, a())) -> f(x, f(f(f(a(), a()), a()), a())) } 830.18/297.05 Obligation: 830.18/297.05 derivational complexity 830.18/297.05 Answer: 830.18/297.05 YES(?,O(n^1)) 830.18/297.05 830.18/297.05 The problem is match-bounded by 1. The enriched problem is 830.18/297.05 compatible with the following automaton. 830.18/297.05 { f_0(1, 1) -> 1 830.18/297.05 , f_0(1, 2) -> 1 830.18/297.05 , f_0(2, 1) -> 1 830.18/297.05 , f_0(2, 2) -> 1 830.18/297.05 , f_1(1, 3) -> 1 830.18/297.05 , f_1(2, 3) -> 1 830.18/297.05 , f_1(4, 3) -> 1 830.18/297.05 , f_1(4, 5) -> 3 830.18/297.05 , f_1(6, 7) -> 4 830.18/297.05 , f_1(8, 9) -> 6 830.18/297.05 , a_0() -> 2 830.18/297.05 , a_1() -> 5 830.18/297.05 , a_1() -> 7 830.18/297.05 , a_1() -> 8 830.18/297.05 , a_1() -> 9 } 830.18/297.05 830.18/297.05 Hurray, we answered YES(?,O(n^1)) 830.27/297.13 EOF