YES(?,O(n^1)) 684.54/297.11 YES(?,O(n^1)) 684.54/297.11 684.54/297.11 We are left with following problem, upon which TcT provides the 684.54/297.11 certificate YES(?,O(n^1)). 684.54/297.11 684.54/297.11 Strict Trs: 684.54/297.11 { f(a(), f(x, a())) -> f(f(a(), f(f(a(), a()), x)), a()) } 684.54/297.11 Obligation: 684.54/297.11 derivational complexity 684.54/297.11 Answer: 684.54/297.11 YES(?,O(n^1)) 684.54/297.11 684.54/297.11 The problem is match-bounded by 1. The enriched problem is 684.54/297.11 compatible with the following automaton. 684.54/297.11 { f_0(1, 1) -> 1 684.54/297.11 , f_1(2, 3) -> 1 684.54/297.11 , f_1(4, 5) -> 2 684.54/297.11 , f_1(6, 1) -> 5 684.54/297.11 , f_1(6, 2) -> 5 684.54/297.11 , f_1(6, 6) -> 10 684.54/297.11 , f_1(7, 8) -> 6 684.54/297.11 , f_1(8, 10) -> 9 684.54/297.11 , f_1(9, 8) -> 2 684.54/297.11 , a_0() -> 1 684.54/297.11 , a_1() -> 3 684.54/297.11 , a_1() -> 4 684.54/297.11 , a_1() -> 7 684.54/297.11 , a_1() -> 8 } 684.54/297.11 684.54/297.11 Hurray, we answered YES(?,O(n^1)) 684.54/297.19 EOF