YES(?,O(n^1)) 754.34/297.07 YES(?,O(n^1)) 754.34/297.07 754.34/297.07 We are left with following problem, upon which TcT provides the 754.34/297.07 certificate YES(?,O(n^1)). 754.34/297.07 754.34/297.07 Strict Trs: 754.34/297.07 { f(x, f(a(), a())) -> f(f(f(f(a(), a()), a()), a()), x) } 754.34/297.07 Obligation: 754.34/297.07 derivational complexity 754.34/297.07 Answer: 754.34/297.07 YES(?,O(n^1)) 754.34/297.07 754.34/297.07 The problem is match-bounded by 1. The enriched problem is 754.34/297.07 compatible with the following automaton. 754.34/297.07 { f_0(1, 1) -> 1 754.34/297.07 , f_1(2, 1) -> 1 754.34/297.07 , f_1(2, 2) -> 1 754.34/297.07 , f_1(3, 4) -> 2 754.34/297.07 , f_1(5, 6) -> 3 754.34/297.07 , f_1(7, 8) -> 5 754.34/297.07 , a_0() -> 1 754.34/297.07 , a_1() -> 4 754.34/297.07 , a_1() -> 6 754.34/297.07 , a_1() -> 7 754.34/297.07 , a_1() -> 8 } 754.34/297.07 754.34/297.07 Hurray, we answered YES(?,O(n^1)) 754.34/297.15 EOF