YES(?,O(n^1)) 734.74/297.10 YES(?,O(n^1)) 734.74/297.10 734.74/297.10 We are left with following problem, upon which TcT provides the 734.74/297.10 certificate YES(?,O(n^1)). 734.74/297.10 734.74/297.10 Strict Trs: 734.74/297.10 { f(x, f(a(), a())) -> f(f(f(f(a(), a()), a()), x), a()) } 734.74/297.10 Obligation: 734.74/297.10 derivational complexity 734.74/297.10 Answer: 734.74/297.10 YES(?,O(n^1)) 734.74/297.10 734.74/297.10 The problem is match-bounded by 1. The enriched problem is 734.74/297.10 compatible with the following automaton. 734.74/297.10 { f_0(1, 1) -> 1 734.74/297.10 , f_1(2, 3) -> 1 734.74/297.10 , f_1(4, 1) -> 2 734.74/297.10 , f_1(4, 4) -> 9 734.74/297.10 , f_1(5, 6) -> 4 734.74/297.10 , f_1(7, 8) -> 5 734.74/297.10 , f_1(9, 8) -> 2 734.74/297.10 , a_0() -> 1 734.74/297.10 , a_1() -> 3 734.74/297.10 , a_1() -> 6 734.74/297.10 , a_1() -> 7 734.74/297.10 , a_1() -> 8 } 734.74/297.10 734.74/297.10 Hurray, we answered YES(?,O(n^1)) 734.74/297.18 EOF