YES(?,O(n^1)) 14.07/4.94 YES(?,O(n^1)) 14.07/4.94 14.07/4.94 We are left with following problem, upon which TcT provides the 14.07/4.94 certificate YES(?,O(n^1)). 14.07/4.94 14.07/4.94 Strict Trs: 14.07/4.94 { b(x1) -> c(c(x1)) 14.07/4.94 , b(c(a(x1))) -> a(b(a(b(x1)))) 14.07/4.94 , a(a(x1)) -> a(c(b(a(x1)))) } 14.07/4.94 Obligation: 14.07/4.94 derivational complexity 14.07/4.94 Answer: 14.07/4.94 YES(?,O(n^1)) 14.07/4.94 14.07/4.94 The problem is match-bounded by 3. The enriched problem is 14.07/4.94 compatible with the following automaton. 14.07/4.94 { b_0(1) -> 1 14.07/4.94 , b_0(2) -> 1 14.07/4.94 , b_0(3) -> 1 14.07/4.94 , b_1(1) -> 7 14.07/4.94 , b_1(2) -> 7 14.07/4.94 , b_1(3) -> 7 14.07/4.94 , b_1(5) -> 7 14.07/4.94 , b_1(6) -> 5 14.07/4.94 , b_1(8) -> 7 14.07/4.94 , b_1(10) -> 9 14.07/4.94 , b_2(5) -> 20 14.07/4.94 , b_2(7) -> 15 14.07/4.94 , b_2(16) -> 15 14.07/4.94 , b_2(18) -> 20 14.07/4.94 , b_2(19) -> 18 14.07/4.94 , c_0(1) -> 2 14.07/4.94 , c_0(2) -> 2 14.07/4.94 , c_0(3) -> 2 14.07/4.94 , c_1(1) -> 4 14.07/4.94 , c_1(2) -> 4 14.07/4.94 , c_1(3) -> 4 14.07/4.94 , c_1(4) -> 1 14.07/4.94 , c_1(7) -> 8 14.07/4.94 , c_1(9) -> 8 14.07/4.94 , c_2(1) -> 11 14.07/4.94 , c_2(2) -> 11 14.07/4.94 , c_2(3) -> 11 14.07/4.94 , c_2(5) -> 11 14.07/4.94 , c_2(6) -> 12 14.07/4.94 , c_2(8) -> 11 14.07/4.94 , c_2(10) -> 13 14.07/4.94 , c_2(11) -> 7 14.07/4.94 , c_2(12) -> 5 14.07/4.94 , c_2(13) -> 9 14.07/4.94 , c_2(15) -> 14 14.07/4.94 , c_3(5) -> 21 14.07/4.94 , c_3(7) -> 17 14.07/4.94 , c_3(16) -> 17 14.07/4.94 , c_3(17) -> 15 14.07/4.94 , c_3(18) -> 21 14.07/4.94 , c_3(19) -> 22 14.07/4.94 , c_3(21) -> 20 14.07/4.94 , c_3(22) -> 18 14.07/4.94 , a_0(1) -> 3 14.07/4.94 , a_0(2) -> 3 14.07/4.94 , a_0(3) -> 3 14.07/4.94 , a_1(1) -> 10 14.07/4.94 , a_1(2) -> 10 14.07/4.94 , a_1(3) -> 10 14.07/4.94 , a_1(5) -> 1 14.07/4.94 , a_1(5) -> 7 14.07/4.94 , a_1(7) -> 6 14.07/4.94 , a_1(8) -> 3 14.07/4.94 , a_1(8) -> 10 14.07/4.94 , a_2(5) -> 16 14.07/4.94 , a_2(8) -> 16 14.07/4.94 , a_2(14) -> 6 14.07/4.94 , a_2(14) -> 10 14.07/4.94 , a_2(18) -> 7 14.07/4.94 , a_2(20) -> 19 } 14.07/4.94 14.07/4.94 Hurray, we answered YES(?,O(n^1)) 14.07/4.97 EOF