YES(?,O(n^1)) 5.04/1.57 YES(?,O(n^1)) 5.04/1.57 5.04/1.57 We are left with following problem, upon which TcT provides the 5.04/1.57 certificate YES(?,O(n^1)). 5.04/1.57 5.04/1.57 Strict Trs: 5.04/1.57 { f(0()) -> cons(0()) 5.04/1.57 , f(s(0())) -> f(p(s(0()))) 5.04/1.57 , p(s(X)) -> X } 5.04/1.57 Obligation: 5.04/1.57 innermost runtime complexity 5.04/1.57 Answer: 5.04/1.57 YES(?,O(n^1)) 5.04/1.57 5.04/1.57 The problem is match-bounded by 2. The enriched problem is 5.04/1.57 compatible with the following automaton. 5.04/1.57 { f_0(2) -> 1 5.04/1.57 , f_1(4) -> 1 5.04/1.57 , 0_0() -> 1 5.04/1.57 , 0_0() -> 2 5.04/1.57 , 0_1() -> 3 5.04/1.57 , 0_1() -> 4 5.04/1.57 , 0_2() -> 6 5.04/1.57 , cons_0(2) -> 1 5.04/1.57 , cons_0(2) -> 2 5.04/1.57 , cons_1(3) -> 1 5.04/1.57 , cons_2(6) -> 1 5.04/1.57 , s_0(2) -> 1 5.04/1.57 , s_0(2) -> 2 5.04/1.57 , s_1(3) -> 5 5.04/1.57 , p_0(2) -> 1 5.04/1.57 , p_1(5) -> 4 } 5.04/1.57 5.04/1.57 Hurray, we answered YES(?,O(n^1)) 5.04/1.58 EOF