YES(?,O(n^1)) 741.91/297.03 YES(?,O(n^1)) 741.91/297.03 741.91/297.03 We are left with following problem, upon which TcT provides the 741.91/297.03 certificate YES(?,O(n^1)). 741.91/297.03 741.91/297.03 Strict Trs: 741.91/297.03 { f(a(), f(x, a())) -> f(a(), f(f(a(), x), f(a(), a()))) } 741.91/297.03 Obligation: 741.91/297.03 derivational complexity 741.91/297.03 Answer: 741.91/297.03 YES(?,O(n^1)) 741.91/297.03 741.91/297.03 The problem is match-bounded by 1. The enriched problem is 741.91/297.03 compatible with the following automaton. 741.91/297.03 { f_0(1, 1) -> 1 741.91/297.03 , f_1(2, 3) -> 1 741.91/297.03 , f_1(4, 5) -> 3 741.91/297.03 , f_1(6, 7) -> 5 741.91/297.03 , f_1(8, 1) -> 4 741.91/297.03 , f_1(8, 3) -> 4 741.91/297.03 , a_0() -> 1 741.91/297.03 , a_1() -> 2 741.91/297.03 , a_1() -> 6 741.91/297.03 , a_1() -> 7 741.91/297.03 , a_1() -> 8 } 741.91/297.03 741.91/297.03 Hurray, we answered YES(?,O(n^1)) 742.13/297.21 EOF