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 { a(b(x)) -> b(a(x)) 0.00/0.07 , a(c(x)) -> x } 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(a) = {}, safe(b) = {1}, safe(c) = {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 {a} 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 a(b(; x);) > b(; a(x;)) 0.00/0.07 0.00/0.07 a(c(; x);) > x 0.00/0.07 0.00/0.07 0.00/0.07 Hurray, we answered YES(?,O(n^1)) 0.00/0.07 EOF