YES(?,O(n^1)) 0.00/0.26 YES(?,O(n^1)) 0.00/0.26 0.00/0.26 We are left with following problem, upon which TcT provides the 0.00/0.26 certificate YES(?,O(n^1)). 0.00/0.26 0.00/0.26 Strict Trs: 0.00/0.26 { f(x, y) -> g(x, y) 0.00/0.26 , g(h(x), y) -> h(f(x, y)) 0.00/0.26 , g(h(x), y) -> h(g(x, y)) } 0.00/0.26 Obligation: 0.00/0.26 runtime complexity 0.00/0.26 Answer: 0.00/0.26 YES(?,O(n^1)) 0.00/0.26 0.00/0.26 The input is overlay and right-linear. Switching to innermost 0.00/0.26 rewriting. 0.00/0.26 0.00/0.26 We are left with following problem, upon which TcT provides the 0.00/0.26 certificate YES(?,O(n^1)). 0.00/0.26 0.00/0.26 Strict Trs: 0.00/0.26 { f(x, y) -> g(x, y) 0.00/0.26 , g(h(x), y) -> h(f(x, y)) 0.00/0.26 , g(h(x), y) -> h(g(x, y)) } 0.00/0.26 Obligation: 0.00/0.26 innermost runtime complexity 0.00/0.26 Answer: 0.00/0.26 YES(?,O(n^1)) 0.00/0.26 0.00/0.26 The problem is match-bounded by 2. The enriched problem is 0.00/0.26 compatible with the following automaton. 0.00/0.26 { f_0(3, 3) -> 1 0.00/0.26 , f_1(3, 3) -> 4 0.00/0.26 , g_0(3, 3) -> 2 0.00/0.26 , g_1(3, 3) -> 1 0.00/0.26 , g_2(3, 3) -> 4 0.00/0.26 , h_0(3) -> 3 0.00/0.26 , h_1(1) -> 1 0.00/0.26 , h_1(1) -> 2 0.00/0.26 , h_1(1) -> 4 0.00/0.26 , h_1(4) -> 1 0.00/0.26 , h_1(4) -> 2 0.00/0.26 , h_1(4) -> 4 } 0.00/0.26 0.00/0.26 Hurray, we answered YES(?,O(n^1)) 0.00/0.26 EOF