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