YES(?,O(n^1)) 0.00/0.05 YES(?,O(n^1)) 0.00/0.05 0.00/0.05 We are left with following problem, upon which TcT provides the 0.00/0.05 certificate YES(?,O(n^1)). 0.00/0.05 0.00/0.05 Strict Trs: { a(b(x)) -> b(b(a(x))) } 0.00/0.05 Obligation: 0.00/0.05 innermost runtime complexity 0.00/0.05 Answer: 0.00/0.05 YES(?,O(n^1)) 0.00/0.05 0.00/0.05 The input was oriented with the instance of 'Small Polynomial Path 0.00/0.05 Order (PS)' as induced by the safe mapping 0.00/0.05 0.00/0.05 safe(a) = {}, safe(b) = {1} 0.00/0.05 0.00/0.05 and precedence 0.00/0.05 0.00/0.05 empty . 0.00/0.05 0.00/0.05 Following symbols are considered recursive: 0.00/0.05 0.00/0.05 {a} 0.00/0.05 0.00/0.05 The recursion depth is 1. 0.00/0.05 0.00/0.05 For your convenience, here are the satisfied ordering constraints: 0.00/0.05 0.00/0.05 a(b(; x);) > b(; b(; a(x;))) 0.00/0.05 0.00/0.05 0.00/0.05 Hurray, we answered YES(?,O(n^1)) 0.00/0.06 EOF