YES(?,O(n^1)) 1087.53/297.02 YES(?,O(n^1)) 1087.53/297.02 1087.53/297.02 We are left with following problem, upon which TcT provides the 1087.53/297.02 certificate YES(?,O(n^1)). 1087.53/297.02 1087.53/297.02 Strict Trs: { b(a(a(b(b(x1))))) -> a(a(b(b(b(a(a(x1))))))) } 1087.53/297.02 Obligation: 1087.53/297.02 derivational complexity 1087.53/297.02 Answer: 1087.53/297.02 YES(?,O(n^1)) 1087.53/297.02 1087.53/297.02 The problem is match-bounded by 2. The enriched problem is 1087.53/297.02 compatible with the following automaton. 1087.53/297.02 { b_0(1) -> 1 1087.53/297.02 , b_0(2) -> 1 1087.53/297.02 , b_1(5) -> 4 1087.53/297.02 , b_1(6) -> 5 1087.53/297.02 , b_1(7) -> 6 1087.53/297.02 , b_2(11) -> 10 1087.53/297.02 , b_2(12) -> 11 1087.53/297.02 , b_2(13) -> 12 1087.53/297.02 , b_2(17) -> 16 1087.53/297.02 , b_2(18) -> 17 1087.53/297.02 , b_2(19) -> 18 1087.53/297.02 , a_0(1) -> 2 1087.53/297.02 , a_0(2) -> 2 1087.53/297.02 , a_1(1) -> 8 1087.53/297.02 , a_1(2) -> 8 1087.53/297.02 , a_1(3) -> 1 1087.53/297.02 , a_1(3) -> 6 1087.53/297.02 , a_1(4) -> 3 1087.53/297.02 , a_1(6) -> 8 1087.53/297.02 , a_1(8) -> 7 1087.53/297.02 , a_2(6) -> 14 1087.53/297.02 , a_2(9) -> 5 1087.53/297.02 , a_2(10) -> 9 1087.53/297.02 , a_2(12) -> 20 1087.53/297.02 , a_2(14) -> 13 1087.53/297.02 , a_2(15) -> 4 1087.53/297.02 , a_2(16) -> 15 1087.53/297.02 , a_2(20) -> 19 } 1087.53/297.02 1087.53/297.02 Hurray, we answered YES(?,O(n^1)) 1087.65/297.17 EOF