YES(?,O(n^1)) 0.00/0.29 YES(?,O(n^1)) 0.00/0.29 0.00/0.29 We are left with following problem, upon which TcT provides the 0.00/0.29 certificate YES(?,O(n^1)). 0.00/0.29 0.00/0.29 Strict Trs: 0.00/0.29 { revapp(Cons(x, xs), rest) -> revapp(xs, Cons(x, rest)) 0.00/0.29 , revapp(Nil(), rest) -> rest 0.00/0.29 , goal(xs, ys) -> revapp(xs, ys) } 0.00/0.29 Obligation: 0.00/0.29 innermost runtime complexity 0.00/0.29 Answer: 0.00/0.29 YES(?,O(n^1)) 0.00/0.29 0.00/0.29 The input was oriented with the instance of 'Small Polynomial Path 0.00/0.29 Order (PS,1-bounded)' as induced by the safe mapping 0.00/0.29 0.00/0.29 safe(revapp) = {2}, safe(Cons) = {1, 2}, safe(Nil) = {}, 0.00/0.29 safe(goal) = {2} 0.00/0.29 0.00/0.29 and precedence 0.00/0.29 0.00/0.29 goal > revapp . 0.00/0.29 0.00/0.29 Following symbols are considered recursive: 0.00/0.29 0.00/0.29 {revapp} 0.00/0.29 0.00/0.29 The recursion depth is 1. 0.00/0.29 0.00/0.29 For your convenience, here are the satisfied ordering constraints: 0.00/0.29 0.00/0.29 revapp(Cons(; x, xs); rest) > revapp(xs; Cons(; x, rest)) 0.00/0.29 0.00/0.29 revapp(Nil(); rest) > rest 0.00/0.29 0.00/0.29 goal(xs; ys) > revapp(xs; ys) 0.00/0.29 0.00/0.29 0.00/0.29 Hurray, we answered YES(?,O(n^1)) 0.00/0.29 EOF