YES(?,O(n^1)) 24.92/9.52 YES(?,O(n^1)) 24.92/9.52 24.92/9.52 We are left with following problem, upon which TcT provides the 24.92/9.52 certificate YES(?,O(n^1)). 24.92/9.52 24.92/9.52 Strict Trs: 24.92/9.52 { f(f(x)) -> f(c(f(x))) 24.92/9.52 , f(f(x)) -> f(d(f(x))) 24.92/9.52 , g(c(x)) -> x 24.92/9.52 , g(c(0())) -> g(d(1())) 24.92/9.52 , g(c(1())) -> g(d(0())) 24.92/9.52 , g(d(x)) -> x } 24.92/9.52 Obligation: 24.92/9.52 derivational complexity 24.92/9.52 Answer: 24.92/9.52 YES(?,O(n^1)) 24.92/9.52 24.92/9.52 The problem is match-bounded by 2. The enriched problem is 24.92/9.52 compatible with the following automaton. 24.92/9.52 { f_0(1) -> 1 24.92/9.52 , f_1(1) -> 3 24.92/9.52 , f_1(2) -> 1 24.92/9.52 , f_1(2) -> 3 24.92/9.52 , f_2(2) -> 5 24.92/9.52 , f_2(4) -> 3 24.92/9.52 , c_0(1) -> 1 24.92/9.52 , c_1(3) -> 2 24.92/9.52 , c_2(5) -> 4 24.92/9.52 , d_0(1) -> 1 24.92/9.52 , d_1(3) -> 2 24.92/9.52 , d_1(7) -> 6 24.92/9.52 , d_2(5) -> 4 24.92/9.52 , g_0(1) -> 1 24.92/9.52 , g_1(6) -> 1 24.92/9.52 , 0_0() -> 1 24.92/9.52 , 0_1() -> 1 24.92/9.52 , 0_1() -> 7 24.92/9.52 , 1_0() -> 1 24.92/9.52 , 1_1() -> 1 24.92/9.52 , 1_1() -> 7 } 24.92/9.52 24.92/9.52 Hurray, we answered YES(?,O(n^1)) 24.92/9.54 EOF