YES(?,O(n^1)) 0.00/0.13 YES(?,O(n^1)) 0.00/0.13 0.00/0.13 We are left with following problem, upon which TcT provides the 0.00/0.13 certificate YES(?,O(n^1)). 0.00/0.13 0.00/0.13 Strict Trs: 0.00/0.13 { duplicate(Cons(x, xs)) -> Cons(x, Cons(x, duplicate(xs))) 0.00/0.13 , duplicate(Nil()) -> Nil() 0.00/0.13 , goal(x) -> duplicate(x) } 0.00/0.13 Obligation: 0.00/0.13 innermost runtime complexity 0.00/0.13 Answer: 0.00/0.13 YES(?,O(n^1)) 0.00/0.13 0.00/0.13 The input was oriented with the instance of 'Small Polynomial Path 0.00/0.13 Order (PS,1-bounded)' as induced by the safe mapping 0.00/0.13 0.00/0.13 safe(duplicate) = {}, safe(Cons) = {1, 2}, safe(Nil) = {}, 0.00/0.13 safe(goal) = {} 0.00/0.13 0.00/0.13 and precedence 0.00/0.13 0.00/0.13 goal > duplicate . 0.00/0.13 0.00/0.13 Following symbols are considered recursive: 0.00/0.13 0.00/0.13 {duplicate} 0.00/0.13 0.00/0.13 The recursion depth is 1. 0.00/0.13 0.00/0.13 For your convenience, here are the satisfied ordering constraints: 0.00/0.13 0.00/0.13 duplicate(Cons(; x, xs);) > Cons(; x, Cons(; x, duplicate(xs;))) 0.00/0.13 0.00/0.13 duplicate(Nil();) > Nil() 0.00/0.13 0.00/0.13 goal(x;) > duplicate(x;) 0.00/0.13 0.00/0.13 0.00/0.13 Hurray, we answered YES(?,O(n^1)) 0.00/0.14 EOF