YES(?,O(n^1)) 789.45/297.07 YES(?,O(n^1)) 789.45/297.07 789.45/297.07 We are left with following problem, upon which TcT provides the 789.45/297.07 certificate YES(?,O(n^1)). 789.45/297.07 789.45/297.07 Strict Trs: 789.45/297.07 { f(a(), f(x, a())) -> f(a(), f(f(f(a(), a()), a()), x)) } 789.45/297.07 Obligation: 789.45/297.07 derivational complexity 789.45/297.07 Answer: 789.45/297.07 YES(?,O(n^1)) 789.45/297.07 789.45/297.07 The problem is match-bounded by 1. The enriched problem is 789.45/297.07 compatible with the following automaton. 789.45/297.07 { f_0(1, 1) -> 1 789.45/297.07 , f_1(2, 3) -> 1 789.45/297.07 , f_1(4, 1) -> 3 789.45/297.07 , f_1(4, 4) -> 3 789.45/297.07 , f_1(5, 6) -> 4 789.45/297.07 , f_1(7, 8) -> 5 789.45/297.07 , a_0() -> 1 789.45/297.07 , a_1() -> 2 789.45/297.07 , a_1() -> 6 789.45/297.07 , a_1() -> 7 789.45/297.07 , a_1() -> 8 } 789.45/297.07 789.45/297.07 Hurray, we answered YES(?,O(n^1)) 789.55/297.15 EOF