YES(?,O(n^1)) 0.00/0.19 YES(?,O(n^1)) 0.00/0.19 0.00/0.19 We are left with following problem, upon which TcT provides the 0.00/0.19 certificate YES(?,O(n^1)). 0.00/0.19 0.00/0.19 Strict Trs: 0.00/0.19 { h(f(x), y) -> f(g(x, y)) 0.00/0.19 , g(x, y) -> h(x, y) } 0.00/0.19 Obligation: 0.00/0.19 runtime complexity 0.00/0.19 Answer: 0.00/0.19 YES(?,O(n^1)) 0.00/0.19 0.00/0.19 The input is overlay and right-linear. Switching to innermost 0.00/0.19 rewriting. 0.00/0.19 0.00/0.19 We are left with following problem, upon which TcT provides the 0.00/0.19 certificate YES(?,O(n^1)). 0.00/0.19 0.00/0.19 Strict Trs: 0.00/0.19 { h(f(x), y) -> f(g(x, y)) 0.00/0.19 , g(x, y) -> h(x, y) } 0.00/0.19 Obligation: 0.00/0.19 innermost runtime complexity 0.00/0.19 Answer: 0.00/0.19 YES(?,O(n^1)) 0.00/0.19 0.00/0.19 The problem is match-bounded by 2. The enriched problem is 0.00/0.19 compatible with the following automaton. 0.00/0.19 { h_0(2, 2) -> 1 0.00/0.19 , h_1(2, 2) -> 3 0.00/0.19 , h_2(2, 2) -> 4 0.00/0.19 , f_0(2) -> 2 0.00/0.19 , f_1(4) -> 1 0.00/0.19 , f_1(4) -> 3 0.00/0.19 , f_1(4) -> 4 0.00/0.19 , g_0(2, 2) -> 3 0.00/0.19 , g_1(2, 2) -> 4 } 0.00/0.19 0.00/0.19 Hurray, we answered YES(?,O(n^1)) 0.00/0.20 EOF