YES(?,O(n^1)) 0.00/0.17 YES(?,O(n^1)) 0.00/0.17 0.00/0.17 We are left with following problem, upon which TcT provides the 0.00/0.17 certificate YES(?,O(n^1)). 0.00/0.17 0.00/0.17 Strict Trs: 0.00/0.17 { f(f(X)) -> c() 0.00/0.17 , c() -> d() 0.00/0.17 , h(X) -> c() } 0.00/0.17 Obligation: 0.00/0.17 derivational complexity 0.00/0.17 Answer: 0.00/0.17 YES(?,O(n^1)) 0.00/0.17 0.00/0.17 The problem is match-bounded by 2. The enriched problem is 0.00/0.17 compatible with the following automaton. 0.00/0.17 { f_0(1) -> 1 0.00/0.17 , f_0(2) -> 1 0.00/0.17 , f_0(3) -> 1 0.00/0.17 , f_0(4) -> 1 0.00/0.17 , c_0() -> 2 0.00/0.17 , c_1() -> 1 0.00/0.17 , c_1() -> 4 0.00/0.17 , d_0() -> 3 0.00/0.17 , d_1() -> 2 0.00/0.17 , d_2() -> 1 0.00/0.17 , d_2() -> 4 0.00/0.17 , h_0(1) -> 4 0.00/0.17 , h_0(2) -> 4 0.00/0.17 , h_0(3) -> 4 0.00/0.17 , h_0(4) -> 4 } 0.00/0.17 0.00/0.17 Hurray, we answered YES(?,O(n^1)) 0.00/0.18 EOF