YES(?,O(n^1)) 0.00/0.51 YES(?,O(n^1)) 0.00/0.51 0.00/0.51 We are left with following problem, upon which TcT provides the 0.00/0.51 certificate YES(?,O(n^1)). 0.00/0.51 0.00/0.51 Strict Trs: 0.00/0.51 { f(a(), a()) -> f(a(), b()) 0.00/0.51 , f(a(), b()) -> f(s(a()), c()) 0.00/0.51 , f(s(X), c()) -> f(X, c()) 0.00/0.51 , f(c(), c()) -> f(a(), a()) } 0.00/0.51 Obligation: 0.00/0.51 derivational complexity 0.00/0.51 Answer: 0.00/0.51 YES(?,O(n^1)) 0.00/0.51 0.00/0.51 The problem is match-bounded by 4. The enriched problem is 0.00/0.51 compatible with the following automaton. 0.00/0.51 { f_0(1, 1) -> 1 0.00/0.51 , f_1(1, 3) -> 1 0.00/0.51 , f_1(2, 2) -> 1 0.00/0.51 , f_1(2, 3) -> 1 0.00/0.51 , f_2(2, 5) -> 1 0.00/0.51 , f_2(4, 5) -> 1 0.00/0.51 , f_2(6, 8) -> 1 0.00/0.51 , f_3(6, 7) -> 1 0.00/0.51 , f_4(9, 10) -> 1 0.00/0.51 , a_0() -> 1 0.00/0.51 , a_1() -> 2 0.00/0.51 , a_2() -> 6 0.00/0.51 , a_3() -> 9 0.00/0.51 , b_0() -> 1 0.00/0.51 , b_1() -> 3 0.00/0.51 , b_2() -> 8 0.00/0.51 , s_0(1) -> 1 0.00/0.51 , s_1(2) -> 2 0.00/0.51 , s_2(6) -> 4 0.00/0.51 , s_3(9) -> 6 0.00/0.51 , c_0() -> 1 0.00/0.51 , c_1() -> 3 0.00/0.51 , c_2() -> 5 0.00/0.51 , c_3() -> 7 0.00/0.51 , c_4() -> 10 } 0.00/0.51 0.00/0.51 Hurray, we answered YES(?,O(n^1)) 0.00/0.51 EOF