YES(?,O(n^1)) 0.00/0.06 YES(?,O(n^1)) 0.00/0.06 0.00/0.06 We are left with following problem, upon which TcT provides the 0.00/0.06 certificate YES(?,O(n^1)). 0.00/0.06 0.00/0.06 Strict Trs: 0.00/0.06 { f(x, x) -> a() 0.00/0.06 , f(g(x), y) -> f(x, y) } 0.00/0.06 Obligation: 0.00/0.06 innermost runtime complexity 0.00/0.06 Answer: 0.00/0.06 YES(?,O(n^1)) 0.00/0.06 0.00/0.06 The input was oriented with the instance of 'Small Polynomial Path 0.00/0.06 Order (PS)' as induced by the safe mapping 0.00/0.06 0.00/0.06 safe(f) = {}, safe(a) = {}, safe(g) = {1} 0.00/0.06 0.00/0.06 and precedence 0.00/0.06 0.00/0.06 empty . 0.00/0.06 0.00/0.06 Following symbols are considered recursive: 0.00/0.06 0.00/0.06 {f} 0.00/0.06 0.00/0.06 The recursion depth is 1. 0.00/0.06 0.00/0.06 For your convenience, here are the satisfied ordering constraints: 0.00/0.06 0.00/0.06 f(x, x;) > a() 0.00/0.06 0.00/0.06 f(g(; x), y;) > f(x, y;) 0.00/0.06 0.00/0.06 0.00/0.06 Hurray, we answered YES(?,O(n^1)) 0.00/0.07 EOF