YES(?,O(n^1)) 0.00/0.11 YES(?,O(n^1)) 0.00/0.11 0.00/0.11 We are left with following problem, upon which TcT provides the 0.00/0.11 certificate YES(?,O(n^1)). 0.00/0.11 0.00/0.11 Strict Trs: { f(s(X), Y) -> h(s(f(h(Y), X))) } 0.00/0.11 Obligation: 0.00/0.11 innermost runtime complexity 0.00/0.11 Answer: 0.00/0.11 YES(?,O(n^1)) 0.00/0.11 0.00/0.11 The problem is match-bounded by 1. The enriched problem is 0.00/0.11 compatible with the following automaton. 0.00/0.11 { f_0(2, 2) -> 1 0.00/0.11 , f_0(2, 3) -> 1 0.00/0.11 , f_0(3, 2) -> 1 0.00/0.11 , f_0(3, 3) -> 1 0.00/0.11 , f_1(6, 2) -> 5 0.00/0.11 , f_1(6, 3) -> 5 0.00/0.11 , s_0(2) -> 2 0.00/0.11 , s_0(3) -> 2 0.00/0.11 , s_1(5) -> 4 0.00/0.11 , h_0(2) -> 3 0.00/0.11 , h_0(3) -> 3 0.00/0.11 , h_1(2) -> 6 0.00/0.11 , h_1(3) -> 6 0.00/0.11 , h_1(4) -> 1 } 0.00/0.11 0.00/0.11 Hurray, we answered YES(?,O(n^1)) 0.00/0.11 EOF