YES(?,O(n^1)) 13.50/7.66 YES(?,O(n^1)) 13.50/7.66 13.50/7.66 We are left with following problem, upon which TcT provides the 13.50/7.66 certificate YES(?,O(n^1)). 13.50/7.66 13.50/7.66 Strict Trs: 13.50/7.66 { zeros() -> cons(0(), n__zeros()) 13.50/7.66 , zeros() -> n__zeros() 13.50/7.66 , tail(cons(X, XS)) -> activate(XS) 13.50/7.66 , activate(X) -> X 13.50/7.66 , activate(n__zeros()) -> zeros() } 13.50/7.66 Obligation: 13.50/7.66 derivational complexity 13.50/7.66 Answer: 13.50/7.66 YES(?,O(n^1)) 13.50/7.66 13.50/7.66 The problem is match-bounded by 3. The enriched problem is 13.50/7.66 compatible with the following automaton. 13.50/7.66 { zeros_0() -> 1 13.50/7.66 , zeros_1() -> 1 13.50/7.66 , zeros_2() -> 1 13.50/7.66 , cons_0(1, 1) -> 1 13.50/7.66 , cons_1(2, 3) -> 1 13.50/7.66 , cons_2(4, 5) -> 1 13.50/7.66 , cons_3(6, 7) -> 1 13.50/7.66 , 0_0() -> 1 13.50/7.66 , 0_1() -> 2 13.50/7.66 , 0_2() -> 4 13.50/7.66 , 0_3() -> 6 13.50/7.66 , n__zeros_0() -> 1 13.50/7.66 , n__zeros_1() -> 1 13.50/7.66 , n__zeros_1() -> 3 13.50/7.66 , n__zeros_2() -> 1 13.50/7.66 , n__zeros_2() -> 5 13.50/7.66 , n__zeros_3() -> 1 13.50/7.66 , n__zeros_3() -> 7 13.50/7.66 , tail_0(1) -> 1 13.50/7.66 , activate_0(1) -> 1 13.50/7.66 , activate_1(1) -> 1 13.50/7.66 , activate_1(3) -> 1 13.50/7.66 , activate_1(5) -> 1 13.50/7.66 , activate_1(7) -> 1 } 13.50/7.66 13.50/7.66 Hurray, we answered YES(?,O(n^1)) 13.50/7.67 EOF