YES(?,O(n^1)) 133.62/75.86 YES(?,O(n^1)) 133.62/75.86 133.62/75.86 We are left with following problem, upon which TcT provides the 133.62/75.86 certificate YES(?,O(n^1)). 133.62/75.86 133.62/75.86 Strict Trs: 133.62/75.86 { c(X) -> e() 133.62/75.86 , c(b(a(X))) -> a(a(b(b(c(c(X)))))) 133.62/75.86 , b(X) -> e() 133.62/75.86 , a(X) -> e() } 133.62/75.86 Obligation: 133.62/75.86 derivational complexity 133.62/75.86 Answer: 133.62/75.86 YES(?,O(n^1)) 133.62/75.86 133.62/75.86 The problem is match-bounded by 2. The enriched problem is 133.62/75.86 compatible with the following automaton. 133.62/75.86 { c_0(1) -> 1 133.62/75.86 , c_0(2) -> 1 133.62/75.86 , c_0(3) -> 1 133.62/75.86 , c_0(4) -> 1 133.62/75.86 , c_1(1) -> 9 133.62/75.86 , c_1(2) -> 9 133.62/75.86 , c_1(3) -> 9 133.62/75.86 , c_1(4) -> 9 133.62/75.86 , c_1(5) -> 9 133.62/75.86 , c_1(9) -> 8 133.62/75.86 , b_0(1) -> 2 133.62/75.86 , b_0(2) -> 2 133.62/75.86 , b_0(3) -> 2 133.62/75.86 , b_0(4) -> 2 133.62/75.86 , b_1(7) -> 6 133.62/75.86 , b_1(8) -> 7 133.62/75.86 , a_0(1) -> 3 133.62/75.86 , a_0(2) -> 3 133.62/75.86 , a_0(3) -> 3 133.62/75.86 , a_0(4) -> 3 133.62/75.86 , a_1(5) -> 1 133.62/75.86 , a_1(5) -> 9 133.62/75.86 , a_1(6) -> 5 133.62/75.86 , e_0() -> 4 133.62/75.86 , e_1() -> 1 133.62/75.86 , e_1() -> 2 133.62/75.86 , e_1() -> 3 133.62/75.86 , e_2() -> 1 133.62/75.86 , e_2() -> 5 133.62/75.86 , e_2() -> 6 133.62/75.86 , e_2() -> 7 133.62/75.86 , e_2() -> 8 133.62/75.86 , e_2() -> 9 } 133.62/75.86 133.62/75.86 Hurray, we answered YES(?,O(n^1)) 133.95/75.94 EOF