YES(?,O(1)) 0.00/0.05 YES(?,O(1)) 0.00/0.05 0.00/0.05 We are left with following problem, upon which TcT provides the 0.00/0.05 certificate YES(?,O(1)). 0.00/0.05 0.00/0.05 Strict Trs: 0.00/0.05 { first(0(), X) -> nil() 0.00/0.05 , first(s(X), cons(Y)) -> cons(Y) 0.00/0.05 , from(X) -> cons(X) } 0.00/0.05 Obligation: 0.00/0.05 innermost runtime complexity 0.00/0.05 Answer: 0.00/0.05 YES(?,O(1)) 0.00/0.05 0.00/0.05 The input was oriented with the instance of 'Small Polynomial Path 0.00/0.05 Order (PS)' as induced by the safe mapping 0.00/0.05 0.00/0.05 safe(first) = {1}, safe(0) = {}, safe(nil) = {}, safe(s) = {1}, 0.00/0.05 safe(cons) = {1}, safe(from) = {} 0.00/0.05 0.00/0.05 and precedence 0.00/0.05 0.00/0.05 first > from . 0.00/0.05 0.00/0.05 Following symbols are considered recursive: 0.00/0.05 0.00/0.05 {} 0.00/0.05 0.00/0.05 The recursion depth is 0. 0.00/0.05 0.00/0.05 For your convenience, here are the satisfied ordering constraints: 0.00/0.05 0.00/0.05 first(X; 0()) > nil() 0.00/0.05 0.00/0.05 first(cons(; Y); s(; X)) > cons(; Y) 0.00/0.05 0.00/0.05 from(X;) > cons(; X) 0.00/0.05 0.00/0.05 0.00/0.05 Hurray, we answered YES(?,O(1)) 0.00/0.06 EOF