YES(?,O(n^1)) 0.00/0.08 YES(?,O(n^1)) 0.00/0.08 0.00/0.08 We are left with following problem, upon which TcT provides the 0.00/0.08 certificate YES(?,O(n^1)). 0.00/0.08 0.00/0.08 Strict Trs: 0.00/0.08 { a(b(x)) -> b(a(x)) 0.00/0.08 , a(c(x)) -> x } 0.00/0.08 Obligation: 0.00/0.08 runtime complexity 0.00/0.08 Answer: 0.00/0.08 YES(?,O(n^1)) 0.00/0.08 0.00/0.08 The input is overlay and right-linear. Switching to innermost 0.00/0.08 rewriting. 0.00/0.08 0.00/0.08 We are left with following problem, upon which TcT provides the 0.00/0.08 certificate YES(?,O(n^1)). 0.00/0.08 0.00/0.08 Strict Trs: 0.00/0.08 { a(b(x)) -> b(a(x)) 0.00/0.08 , a(c(x)) -> x } 0.00/0.08 Obligation: 0.00/0.08 innermost runtime complexity 0.00/0.08 Answer: 0.00/0.08 YES(?,O(n^1)) 0.00/0.08 0.00/0.08 The input was oriented with the instance of 'Small Polynomial Path 0.00/0.08 Order (PS)' as induced by the safe mapping 0.00/0.08 0.00/0.08 safe(a) = {}, safe(b) = {1}, safe(c) = {1} 0.00/0.08 0.00/0.08 and precedence 0.00/0.08 0.00/0.08 empty . 0.00/0.08 0.00/0.08 Following symbols are considered recursive: 0.00/0.08 0.00/0.08 {a} 0.00/0.08 0.00/0.08 The recursion depth is 1. 0.00/0.08 0.00/0.08 For your convenience, here are the satisfied ordering constraints: 0.00/0.08 0.00/0.08 a(b(; x);) > b(; a(x;)) 0.00/0.08 0.00/0.08 a(c(; x);) > x 0.00/0.08 0.00/0.08 0.00/0.08 Hurray, we answered YES(?,O(n^1)) 0.00/0.08 EOF