YES(?,O(n^1)) 1164.41/297.05 YES(?,O(n^1)) 1164.41/297.05 1164.41/297.05 We are left with following problem, upon which TcT provides the 1164.41/297.05 certificate YES(?,O(n^1)). 1164.41/297.05 1164.41/297.05 Strict Trs: 1164.41/297.05 { b(a(b(a(c(b(a(x1))))))) -> a(b(a(c(b(b(a(b(a(c(x1)))))))))) } 1164.41/297.05 Obligation: 1164.41/297.05 derivational complexity 1164.41/297.05 Answer: 1164.41/297.05 YES(?,O(n^1)) 1164.41/297.05 1164.41/297.05 The problem is match-bounded by 3. The enriched problem is 1164.41/297.05 compatible with the following automaton. 1164.41/297.05 { b_0(1) -> 1 1164.41/297.05 , b_1(3) -> 2 1164.41/297.05 , b_1(6) -> 5 1164.41/297.05 , b_1(7) -> 6 1164.41/297.05 , b_1(9) -> 8 1164.41/297.05 , b_2(12) -> 11 1164.41/297.05 , b_2(15) -> 14 1164.41/297.05 , b_2(16) -> 15 1164.41/297.05 , b_2(18) -> 17 1164.41/297.05 , b_2(21) -> 20 1164.41/297.05 , b_2(24) -> 23 1164.41/297.05 , b_2(25) -> 24 1164.41/297.05 , b_2(27) -> 26 1164.41/297.05 , b_3(30) -> 29 1164.41/297.05 , b_3(33) -> 32 1164.41/297.05 , b_3(34) -> 33 1164.41/297.05 , b_3(36) -> 35 1164.41/297.05 , a_0(1) -> 1 1164.41/297.05 , a_1(2) -> 1 1164.41/297.05 , a_1(2) -> 6 1164.41/297.05 , a_1(4) -> 3 1164.41/297.05 , a_1(8) -> 7 1164.41/297.05 , a_1(10) -> 9 1164.41/297.05 , a_2(11) -> 5 1164.41/297.05 , a_2(13) -> 12 1164.41/297.05 , a_2(17) -> 16 1164.41/297.05 , a_2(19) -> 18 1164.41/297.05 , a_2(20) -> 6 1164.41/297.05 , a_2(20) -> 15 1164.41/297.05 , a_2(22) -> 21 1164.41/297.05 , a_2(26) -> 25 1164.41/297.05 , a_2(28) -> 27 1164.41/297.05 , a_3(29) -> 15 1164.41/297.05 , a_3(31) -> 30 1164.41/297.05 , a_3(35) -> 34 1164.41/297.05 , a_3(37) -> 36 1164.41/297.05 , c_0(1) -> 1 1164.41/297.05 , c_1(1) -> 10 1164.41/297.05 , c_1(2) -> 10 1164.41/297.05 , c_1(5) -> 4 1164.41/297.05 , c_1(20) -> 10 1164.41/297.05 , c_2(2) -> 19 1164.41/297.05 , c_2(4) -> 28 1164.41/297.05 , c_2(14) -> 13 1164.41/297.05 , c_2(20) -> 19 1164.41/297.05 , c_2(22) -> 28 1164.41/297.05 , c_2(23) -> 22 1164.41/297.05 , c_3(22) -> 37 1164.41/297.05 , c_3(32) -> 31 } 1164.41/297.05 1164.41/297.05 Hurray, we answered YES(?,O(n^1)) 1165.23/297.73 EOF