YES(?,O(1)) 0.00/0.10 YES(?,O(1)) 0.00/0.10 0.00/0.10 We are left with following problem, upon which TcT provides the 0.00/0.10 certificate YES(?,O(1)). 0.00/0.10 0.00/0.10 Strict Trs: 0.00/0.10 { zeros() -> cons(0(), n__zeros()) 0.00/0.10 , zeros() -> n__zeros() 0.00/0.10 , tail(cons(X, XS)) -> activate(XS) 0.00/0.10 , activate(X) -> X 0.00/0.10 , activate(n__zeros()) -> zeros() } 0.00/0.10 Obligation: 0.00/0.10 runtime complexity 0.00/0.10 Answer: 0.00/0.10 YES(?,O(1)) 0.00/0.10 0.00/0.10 The input is overlay and right-linear. Switching to innermost 0.00/0.10 rewriting. 0.00/0.10 0.00/0.10 We are left with following problem, upon which TcT provides the 0.00/0.10 certificate YES(?,O(1)). 0.00/0.10 0.00/0.10 Strict Trs: 0.00/0.10 { zeros() -> cons(0(), n__zeros()) 0.00/0.10 , zeros() -> n__zeros() 0.00/0.10 , tail(cons(X, XS)) -> activate(XS) 0.00/0.10 , activate(X) -> X 0.00/0.10 , activate(n__zeros()) -> zeros() } 0.00/0.10 Obligation: 0.00/0.10 innermost runtime complexity 0.00/0.10 Answer: 0.00/0.10 YES(?,O(1)) 0.00/0.10 0.00/0.10 The input was oriented with the instance of 'Small Polynomial Path 0.00/0.10 Order (PS,0-bounded)' as induced by the safe mapping 0.00/0.10 0.00/0.10 safe(zeros) = {}, safe(cons) = {1, 2}, safe(0) = {}, 0.00/0.10 safe(n__zeros) = {}, safe(tail) = {1}, safe(activate) = {1} 0.00/0.10 0.00/0.10 and precedence 0.00/0.10 0.00/0.10 tail > zeros, tail > activate, activate > zeros . 0.00/0.10 0.00/0.10 Following symbols are considered recursive: 0.00/0.10 0.00/0.10 {} 0.00/0.10 0.00/0.10 The recursion depth is 0. 0.00/0.10 0.00/0.10 For your convenience, here are the satisfied ordering constraints: 0.00/0.10 0.00/0.10 zeros() > cons(; 0(), n__zeros()) 0.00/0.10 0.00/0.10 zeros() > n__zeros() 0.00/0.10 0.00/0.10 tail(; cons(; X, XS)) > activate(; XS) 0.00/0.10 0.00/0.10 activate(; X) > X 0.00/0.10 0.00/0.10 activate(; n__zeros()) > zeros() 0.00/0.10 0.00/0.10 0.00/0.10 Hurray, we answered YES(?,O(1)) 0.00/0.10 EOF