YES(?,O(n^1)) 873.31/297.02 YES(?,O(n^1)) 873.31/297.02 873.31/297.02 We are left with following problem, upon which TcT provides the 873.31/297.02 certificate YES(?,O(n^1)). 873.31/297.02 873.31/297.02 Strict Trs: { f(x, f(a(), y)) -> f(f(y, f(f(a(), a()), a())), x) } 873.31/297.02 Obligation: 873.31/297.02 derivational complexity 873.31/297.02 Answer: 873.31/297.02 YES(?,O(n^1)) 873.31/297.02 873.31/297.02 The problem is match-bounded by 1. The enriched problem is 873.31/297.02 compatible with the following automaton. 873.31/297.02 { f_0(1, 1) -> 1 873.31/297.02 , f_0(1, 2) -> 1 873.31/297.02 , f_0(2, 1) -> 1 873.31/297.02 , f_0(2, 2) -> 1 873.31/297.02 , f_1(1, 4) -> 3 873.31/297.02 , f_1(2, 4) -> 3 873.31/297.02 , f_1(3, 1) -> 1 873.31/297.02 , f_1(3, 2) -> 1 873.31/297.02 , f_1(3, 3) -> 1 873.31/297.02 , f_1(4, 4) -> 3 873.31/297.02 , f_1(5, 6) -> 4 873.31/297.02 , f_1(7, 8) -> 5 873.31/297.02 , a_0() -> 2 873.31/297.02 , a_1() -> 6 873.31/297.02 , a_1() -> 7 873.31/297.02 , a_1() -> 8 } 873.31/297.02 873.31/297.02 Hurray, we answered YES(?,O(n^1)) 873.43/297.17 EOF