YES(?,O(n^1)) 13.66/6.85 YES(?,O(n^1)) 13.66/6.85 13.66/6.85 We are left with following problem, upon which TcT provides the 13.66/6.85 certificate YES(?,O(n^1)). 13.66/6.85 13.66/6.85 Strict Trs: 13.66/6.85 { h(x, c(y, z)) -> h(c(s(y), x), z) 13.66/6.85 , h(c(s(x), c(s(0()), y)), z) -> h(y, c(s(0()), c(x, z))) } 13.66/6.85 Obligation: 13.66/6.85 derivational complexity 13.66/6.85 Answer: 13.66/6.85 YES(?,O(n^1)) 13.66/6.85 13.66/6.85 The problem is match-bounded by 2. The enriched problem is 13.66/6.85 compatible with the following automaton. 13.66/6.85 { h_0(1, 1) -> 1 13.66/6.85 , h_1(1, 4) -> 1 13.66/6.85 , h_1(2, 1) -> 1 13.66/6.85 , h_1(2, 4) -> 1 13.66/6.85 , h_1(8, 4) -> 1 13.66/6.85 , h_1(10, 4) -> 1 13.66/6.85 , h_2(8, 4) -> 1 13.66/6.85 , h_2(8, 6) -> 1 13.66/6.85 , h_2(10, 1) -> 1 13.66/6.85 , h_2(10, 4) -> 1 13.66/6.85 , c_0(1, 1) -> 1 13.66/6.85 , c_1(1, 1) -> 6 13.66/6.85 , c_1(1, 4) -> 6 13.66/6.85 , c_1(3, 1) -> 2 13.66/6.85 , c_1(3, 2) -> 2 13.66/6.85 , c_1(3, 10) -> 2 13.66/6.85 , c_1(5, 4) -> 4 13.66/6.85 , c_1(5, 6) -> 4 13.66/6.85 , c_2(9, 1) -> 8 13.66/6.85 , c_2(9, 2) -> 8 13.66/6.85 , c_2(9, 8) -> 8 13.66/6.85 , c_2(9, 10) -> 8 13.66/6.85 , c_2(11, 8) -> 10 13.66/6.85 , s_0(1) -> 1 13.66/6.85 , s_1(1) -> 3 13.66/6.85 , s_1(7) -> 5 13.66/6.85 , s_2(1) -> 11 13.66/6.85 , s_2(5) -> 9 13.66/6.85 , 0_0() -> 1 13.66/6.85 , 0_1() -> 7 } 13.66/6.85 13.66/6.85 Hurray, we answered YES(?,O(n^1)) 13.66/6.86 EOF