YES(?,O(n^1)) 731.84/297.03 YES(?,O(n^1)) 731.84/297.03 731.84/297.03 We are left with following problem, upon which TcT provides the 731.84/297.03 certificate YES(?,O(n^1)). 731.84/297.03 731.84/297.03 Strict Trs: 731.84/297.03 { f(f(x, a()), a()) -> f(f(f(a(), a()), f(x, a())), a()) } 731.84/297.03 Obligation: 731.84/297.03 derivational complexity 731.84/297.03 Answer: 731.84/297.03 YES(?,O(n^1)) 731.84/297.03 731.84/297.03 The problem is match-bounded by 2. The enriched problem is 731.84/297.03 compatible with the following automaton. 731.84/297.03 { f_0(1, 1) -> 1 731.84/297.03 , f_0(1, 2) -> 1 731.84/297.03 , f_0(2, 1) -> 1 731.84/297.03 , f_0(2, 2) -> 1 731.84/297.03 , f_1(1, 9) -> 6 731.84/297.03 , f_1(2, 9) -> 6 731.84/297.03 , f_1(3, 4) -> 1 731.84/297.03 , f_1(3, 9) -> 6 731.84/297.03 , f_1(5, 6) -> 3 731.84/297.03 , f_1(7, 8) -> 5 731.84/297.03 , f_2(3, 16) -> 13 731.84/297.03 , f_2(10, 11) -> 6 731.84/297.03 , f_2(12, 13) -> 10 731.84/297.03 , f_2(14, 15) -> 12 731.84/297.03 , a_0() -> 2 731.84/297.03 , a_1() -> 4 731.84/297.03 , a_1() -> 7 731.84/297.03 , a_1() -> 8 731.84/297.03 , a_1() -> 9 731.84/297.03 , a_2() -> 11 731.84/297.03 , a_2() -> 14 731.84/297.03 , a_2() -> 15 731.84/297.03 , a_2() -> 16 } 731.84/297.03 731.84/297.03 Hurray, we answered YES(?,O(n^1)) 731.95/297.15 EOF