YES(?,O(n^1)) 700.68/263.29 YES(?,O(n^1)) 700.68/263.29 700.68/263.29 We are left with following problem, upon which TcT provides the 700.68/263.29 certificate YES(?,O(n^1)). 700.68/263.29 700.68/263.29 Strict Trs: 700.68/263.29 { b(b(0(), y), x) -> y 700.68/263.29 , c(c(c(y))) -> c(c(a(a(c(b(0(), y)), 0()), 0()))) 700.68/263.29 , a(y, 0()) -> b(y, 0()) } 700.68/263.29 Obligation: 700.68/263.29 derivational complexity 700.68/263.29 Answer: 700.68/263.29 YES(?,O(n^1)) 700.68/263.29 700.68/263.29 The problem is match-bounded by 2. The enriched problem is 700.68/263.29 compatible with the following automaton. 700.68/263.29 { b_0(1, 1) -> 1 700.68/263.29 , b_1(1, 9) -> 1 700.68/263.29 , b_1(9, 1) -> 8 700.68/263.29 , b_1(9, 2) -> 8 700.68/263.29 , b_1(9, 3) -> 8 700.68/263.29 , b_2(4, 10) -> 3 700.68/263.29 , b_2(6, 10) -> 4 700.68/263.29 , 0_0() -> 1 700.68/263.29 , 0_1() -> 1 700.68/263.29 , 0_1() -> 5 700.68/263.29 , 0_1() -> 7 700.68/263.29 , 0_1() -> 9 700.68/263.29 , 0_2() -> 10 700.68/263.29 , c_0(1) -> 1 700.68/263.29 , c_1(2) -> 1 700.68/263.29 , c_1(3) -> 2 700.68/263.29 , c_1(8) -> 6 700.68/263.29 , a_0(1, 1) -> 1 700.68/263.29 , a_1(4, 5) -> 3 700.68/263.29 , a_1(6, 7) -> 4 } 700.68/263.29 700.68/263.29 Hurray, we answered YES(?,O(n^1)) 701.05/263.32 EOF