YES(?,O(n^1)) 0.00/0.31 YES(?,O(n^1)) 0.00/0.31 0.00/0.31 We are left with following problem, upon which TcT provides the 0.00/0.31 certificate YES(?,O(n^1)). 0.00/0.31 0.00/0.31 Strict Trs: 0.00/0.31 { g(a()) -> g(b()) 0.00/0.31 , b() -> f(a(), a()) 0.00/0.31 , f(a(), a()) -> g(d()) } 0.00/0.31 Obligation: 0.00/0.31 derivational complexity 0.00/0.31 Answer: 0.00/0.31 YES(?,O(n^1)) 0.00/0.31 0.00/0.31 The problem is match-bounded by 3. The enriched problem is 0.00/0.31 compatible with the following automaton. 0.00/0.31 { g_0(1) -> 1 0.00/0.31 , g_1(2) -> 1 0.00/0.31 , g_2(7) -> 1 0.00/0.31 , g_3(8) -> 2 0.00/0.31 , a_0() -> 1 0.00/0.31 , a_1() -> 3 0.00/0.31 , a_1() -> 4 0.00/0.31 , a_2() -> 5 0.00/0.31 , a_2() -> 6 0.00/0.31 , b_0() -> 1 0.00/0.31 , b_1() -> 2 0.00/0.31 , f_0(1, 1) -> 1 0.00/0.31 , f_1(3, 4) -> 1 0.00/0.31 , f_2(5, 6) -> 2 0.00/0.31 , d_0() -> 1 0.00/0.31 , d_1() -> 2 0.00/0.31 , d_2() -> 7 0.00/0.31 , d_3() -> 8 } 0.00/0.31 0.00/0.31 Hurray, we answered YES(?,O(n^1)) 0.00/0.31 EOF