YES(?,O(n^1)) 762.72/297.08 YES(?,O(n^1)) 762.72/297.08 762.72/297.08 We are left with following problem, upon which TcT provides the 762.72/297.08 certificate YES(?,O(n^1)). 762.72/297.08 762.72/297.08 Strict Trs: 762.72/297.08 { f(a(), f(x, a())) -> f(a(), f(x, f(f(a(), a()), a()))) } 762.72/297.08 Obligation: 762.72/297.08 derivational complexity 762.72/297.08 Answer: 762.72/297.08 YES(?,O(n^1)) 762.72/297.08 762.72/297.08 The problem is match-bounded by 1. The enriched problem is 762.72/297.08 compatible with the following automaton. 762.72/297.08 { f_0(1, 1) -> 1 762.72/297.08 , f_0(1, 2) -> 1 762.72/297.08 , f_0(2, 1) -> 1 762.72/297.08 , f_0(2, 2) -> 1 762.72/297.08 , f_1(1, 5) -> 4 762.72/297.08 , f_1(2, 5) -> 4 762.72/297.08 , f_1(3, 4) -> 1 762.72/297.08 , f_1(6, 5) -> 10 762.72/297.08 , f_1(6, 7) -> 5 762.72/297.08 , f_1(8, 9) -> 6 762.72/297.08 , f_1(9, 10) -> 4 762.72/297.08 , a_0() -> 2 762.72/297.08 , a_1() -> 3 762.72/297.08 , a_1() -> 7 762.72/297.08 , a_1() -> 8 762.72/297.08 , a_1() -> 9 } 762.72/297.08 762.72/297.08 Hurray, we answered YES(?,O(n^1)) 762.82/297.17 EOF