YES(?,O(n^1)) 0.00/0.21 YES(?,O(n^1)) 0.00/0.21 0.00/0.21 We are left with following problem, upon which TcT provides the 0.00/0.21 certificate YES(?,O(n^1)). 0.00/0.21 0.00/0.21 Strict Trs: 0.00/0.21 { f(x, y) -> h(x, y) 0.00/0.21 , f(x, y) -> h(y, x) 0.00/0.21 , h(x, x) -> x } 0.00/0.21 Obligation: 0.00/0.21 derivational complexity 0.00/0.21 Answer: 0.00/0.21 YES(?,O(n^1)) 0.00/0.21 0.00/0.21 The problem is match-bounded by 1. The enriched problem is 0.00/0.21 compatible with the following automaton. 0.00/0.21 { f_0(1, 1) -> 1 0.00/0.21 , f_0(1, 1) -> 2 0.00/0.21 , f_0(1, 2) -> 1 0.00/0.21 , f_0(1, 2) -> 2 0.00/0.21 , f_0(2, 1) -> 1 0.00/0.21 , f_0(2, 1) -> 2 0.00/0.21 , f_0(2, 2) -> 1 0.00/0.21 , f_0(2, 2) -> 2 0.00/0.21 , h_0(1, 1) -> 1 0.00/0.21 , h_0(1, 1) -> 2 0.00/0.21 , h_0(1, 2) -> 1 0.00/0.21 , h_0(1, 2) -> 2 0.00/0.21 , h_0(2, 1) -> 1 0.00/0.21 , h_0(2, 1) -> 2 0.00/0.21 , h_0(2, 2) -> 1 0.00/0.21 , h_0(2, 2) -> 2 0.00/0.21 , h_1(1, 1) -> 1 0.00/0.21 , h_1(1, 1) -> 2 0.00/0.21 , h_1(1, 2) -> 1 0.00/0.21 , h_1(1, 2) -> 2 0.00/0.21 , h_1(2, 1) -> 1 0.00/0.21 , h_1(2, 1) -> 2 0.00/0.21 , h_1(2, 2) -> 1 0.00/0.21 , h_1(2, 2) -> 2 } 0.00/0.21 0.00/0.21 Hurray, we answered YES(?,O(n^1)) 0.00/0.21 EOF