YES(?,O(n^1)) 669.90/297.04 YES(?,O(n^1)) 669.90/297.04 669.90/297.04 We are left with following problem, upon which TcT provides the 669.90/297.04 certificate YES(?,O(n^1)). 669.90/297.04 669.90/297.04 Strict Trs: 669.90/297.04 { f(a(), f(x, a())) -> f(a(), f(f(a(), a()), f(a(), x))) } 669.90/297.04 Obligation: 669.90/297.04 derivational complexity 669.90/297.04 Answer: 669.90/297.04 YES(?,O(n^1)) 669.90/297.04 669.90/297.04 The problem is match-bounded by 1. The enriched problem is 669.90/297.04 compatible with the following automaton. 669.90/297.04 { f_0(1, 1) -> 1 669.90/297.04 , f_1(2, 3) -> 1 669.90/297.04 , f_1(4, 5) -> 3 669.90/297.04 , f_1(6, 7) -> 4 669.90/297.04 , f_1(8, 1) -> 5 669.90/297.04 , f_1(8, 3) -> 5 669.90/297.04 , a_0() -> 1 669.90/297.04 , a_1() -> 2 669.90/297.04 , a_1() -> 6 669.90/297.04 , a_1() -> 7 669.90/297.04 , a_1() -> 8 } 669.90/297.04 669.90/297.04 Hurray, we answered YES(?,O(n^1)) 670.06/297.16 EOF