YES(?,O(n^1)) 0.00/0.12 YES(?,O(n^1)) 0.00/0.12 0.00/0.12 We are left with following problem, upon which TcT provides the 0.00/0.12 certificate YES(?,O(n^1)). 0.00/0.12 0.00/0.12 Strict Trs: 0.00/0.12 { f(S(x), x2) -> f(x2, x) 0.00/0.12 , f(0(), x2) -> 0() } 0.00/0.12 Obligation: 0.00/0.12 innermost runtime complexity 0.00/0.12 Answer: 0.00/0.12 YES(?,O(n^1)) 0.00/0.12 0.00/0.12 The input was oriented with the instance of 'Small Polynomial Path 0.00/0.12 Order (PS)' as induced by the safe mapping 0.00/0.12 0.00/0.12 safe(f) = {}, safe(S) = {1}, safe(0) = {} 0.00/0.12 0.00/0.12 and precedence 0.00/0.12 0.00/0.12 empty . 0.00/0.12 0.00/0.12 Following symbols are considered recursive: 0.00/0.12 0.00/0.12 {f} 0.00/0.12 0.00/0.12 The recursion depth is 1. 0.00/0.12 0.00/0.12 For your convenience, here are the satisfied ordering constraints: 0.00/0.12 0.00/0.12 f(S(; x), x2;) > f(x2, x;) 0.00/0.12 0.00/0.12 f(0(), x2;) > 0() 0.00/0.12 0.00/0.12 0.00/0.12 Hurray, we answered YES(?,O(n^1)) 0.00/0.12 EOF