YES(?,O(n^1)) 1180.11/299.18 YES(?,O(n^1)) 1180.11/299.18 1180.11/299.18 We are left with following problem, upon which TcT provides the 1180.11/299.18 certificate YES(?,O(n^1)). 1180.11/299.18 1180.11/299.18 Strict Trs: 1180.11/299.18 { c(a(a(b(c(a(x1)))))) -> a(a(b(c(c(a(a(b(c(x1))))))))) } 1180.11/299.18 Obligation: 1180.11/299.18 derivational complexity 1180.11/299.18 Answer: 1180.11/299.18 YES(?,O(n^1)) 1180.11/299.18 1180.11/299.18 The problem is match-bounded by 4. The enriched problem is 1180.11/299.18 compatible with the following automaton. 1180.11/299.18 { c_0(1) -> 1 1180.11/299.18 , c_1(1) -> 9 1180.11/299.18 , c_1(2) -> 9 1180.11/299.18 , c_1(5) -> 4 1180.11/299.18 , c_1(6) -> 5 1180.11/299.18 , c_1(10) -> 9 1180.11/299.18 , c_2(2) -> 17 1180.11/299.18 , c_2(3) -> 17 1180.11/299.18 , c_2(10) -> 17 1180.11/299.18 , c_2(11) -> 17 1180.11/299.18 , c_2(13) -> 12 1180.11/299.18 , c_2(14) -> 13 1180.11/299.18 , c_2(26) -> 17 1180.11/299.18 , c_3(10) -> 25 1180.11/299.18 , c_3(11) -> 33 1180.11/299.18 , c_3(21) -> 20 1180.11/299.18 , c_3(22) -> 21 1180.11/299.18 , c_3(26) -> 25 1180.11/299.18 , c_3(27) -> 33 1180.11/299.18 , c_3(29) -> 28 1180.11/299.18 , c_3(30) -> 29 1180.11/299.18 , c_4(27) -> 41 1180.11/299.18 , c_4(37) -> 36 1180.11/299.18 , c_4(38) -> 37 1180.11/299.18 , a_0(1) -> 1 1180.11/299.18 , a_1(2) -> 1 1180.11/299.18 , a_1(2) -> 5 1180.11/299.18 , a_1(2) -> 9 1180.11/299.18 , a_1(3) -> 2 1180.11/299.18 , a_1(7) -> 6 1180.11/299.18 , a_1(8) -> 7 1180.11/299.18 , a_2(10) -> 4 1180.11/299.18 , a_2(10) -> 5 1180.11/299.18 , a_2(10) -> 9 1180.11/299.18 , a_2(10) -> 13 1180.11/299.18 , a_2(11) -> 10 1180.11/299.18 , a_2(15) -> 14 1180.11/299.18 , a_2(16) -> 15 1180.11/299.18 , a_3(18) -> 12 1180.11/299.18 , a_3(19) -> 18 1180.11/299.18 , a_3(23) -> 22 1180.11/299.18 , a_3(24) -> 23 1180.11/299.18 , a_3(26) -> 13 1180.11/299.18 , a_3(26) -> 21 1180.11/299.18 , a_3(27) -> 26 1180.11/299.18 , a_3(31) -> 30 1180.11/299.18 , a_3(32) -> 31 1180.11/299.18 , a_4(34) -> 21 1180.11/299.18 , a_4(35) -> 34 1180.11/299.18 , a_4(39) -> 38 1180.11/299.18 , a_4(40) -> 39 1180.11/299.18 , b_0(1) -> 1 1180.11/299.18 , b_1(4) -> 3 1180.11/299.18 , b_1(9) -> 8 1180.11/299.18 , b_2(12) -> 11 1180.11/299.18 , b_2(17) -> 16 1180.11/299.18 , b_3(20) -> 19 1180.11/299.18 , b_3(25) -> 24 1180.11/299.18 , b_3(28) -> 27 1180.11/299.18 , b_3(33) -> 32 1180.11/299.18 , b_4(36) -> 35 1180.11/299.18 , b_4(41) -> 40 } 1180.11/299.18 1180.11/299.18 Hurray, we answered YES(?,O(n^1)) 1180.82/299.69 EOF