YES(?,O(n^1)) 720.52/297.02 YES(?,O(n^1)) 720.52/297.02 720.52/297.02 We are left with following problem, upon which TcT provides the 720.52/297.02 certificate YES(?,O(n^1)). 720.52/297.02 720.52/297.02 Strict Trs: 720.52/297.02 { +(+(x, y), z) -> +(x, +(y, z)) 720.52/297.02 , +(f(x), +(f(y), z)) -> +(f(+(x, y)), z) 720.52/297.02 , +(f(x), f(y)) -> f(+(x, y)) } 720.52/297.02 Obligation: 720.52/297.02 innermost runtime complexity 720.52/297.02 Answer: 720.52/297.02 YES(?,O(n^1)) 720.52/297.02 720.52/297.02 The problem is match-bounded by 1. The enriched problem is 720.52/297.02 compatible with the following automaton. 720.52/297.02 { +_0(2, 2) -> 1 720.52/297.02 , +_1(2, 2) -> 3 720.52/297.02 , f_0(2) -> 2 720.52/297.02 , f_1(3) -> 1 720.52/297.02 , f_1(3) -> 3 } 720.52/297.02 720.52/297.02 Hurray, we answered YES(?,O(n^1)) 720.74/297.20 EOF