YES(?,O(n^1)) 361.34/211.50 YES(?,O(n^1)) 361.34/211.50 361.34/211.50 We are left with following problem, upon which TcT provides the 361.34/211.50 certificate YES(?,O(n^1)). 361.34/211.50 361.34/211.50 Strict Trs: 361.34/211.50 { f(X) -> if(X, c(), n__f(n__true())) 361.34/211.50 , f(X) -> n__f(X) 361.34/211.50 , if(true(), X, Y) -> X 361.34/211.50 , if(false(), X, Y) -> activate(Y) 361.34/211.50 , true() -> n__true() 361.34/211.50 , activate(X) -> X 361.34/211.50 , activate(n__f(X)) -> f(activate(X)) 361.34/211.50 , activate(n__true()) -> true() } 361.34/211.50 Obligation: 361.34/211.50 runtime complexity 361.34/211.50 Answer: 361.34/211.50 YES(?,O(n^1)) 361.34/211.50 361.34/211.50 The problem is match-bounded by 4. The enriched problem is 361.34/211.50 compatible with the following automaton. 361.34/211.50 { f_0(2) -> 1 361.34/211.50 , f_1(1) -> 1 361.34/211.50 , f_2(6) -> 1 361.34/211.50 , if_0(2, 2, 2) -> 1 361.34/211.50 , if_1(2, 3, 4) -> 1 361.34/211.50 , if_2(1, 7, 8) -> 1 361.34/211.50 , if_3(6, 10, 11) -> 1 361.34/211.50 , c_0() -> 1 361.34/211.50 , c_0() -> 2 361.34/211.50 , c_1() -> 3 361.34/211.50 , c_2() -> 1 361.34/211.50 , c_2() -> 7 361.34/211.50 , c_3() -> 1 361.34/211.50 , c_3() -> 10 361.34/211.50 , n__f_0(2) -> 1 361.34/211.50 , n__f_0(2) -> 2 361.34/211.50 , n__f_1(2) -> 1 361.34/211.50 , n__f_1(5) -> 1 361.34/211.50 , n__f_1(5) -> 4 361.34/211.50 , n__f_2(1) -> 1 361.34/211.50 , n__f_2(9) -> 1 361.34/211.50 , n__f_2(9) -> 8 361.34/211.50 , n__f_3(6) -> 1 361.34/211.50 , n__f_3(12) -> 11 361.34/211.50 , n__true_0() -> 1 361.34/211.50 , n__true_0() -> 2 361.34/211.50 , n__true_1() -> 1 361.34/211.50 , n__true_1() -> 5 361.34/211.50 , n__true_1() -> 6 361.34/211.50 , n__true_2() -> 1 361.34/211.50 , n__true_2() -> 6 361.34/211.50 , n__true_2() -> 9 361.34/211.50 , n__true_3() -> 6 361.34/211.50 , n__true_3() -> 12 361.34/211.50 , n__true_4() -> 6 361.34/211.50 , true_0() -> 1 361.34/211.50 , true_1() -> 1 361.34/211.50 , true_2() -> 6 361.34/211.50 , true_3() -> 6 361.34/211.50 , false_0() -> 1 361.34/211.50 , false_0() -> 2 361.34/211.50 , activate_0(2) -> 1 361.34/211.50 , activate_1(2) -> 1 361.34/211.50 , activate_1(4) -> 1 361.34/211.50 , activate_1(8) -> 1 361.34/211.50 , activate_2(5) -> 6 361.34/211.50 , activate_2(9) -> 6 } 361.34/211.50 361.34/211.50 Hurray, we answered YES(?,O(n^1)) 361.65/211.81 EOF