YES(?,O(n^1)) 884.06/297.08 YES(?,O(n^1)) 884.06/297.08 884.06/297.08 We are left with following problem, upon which TcT provides the 884.06/297.08 certificate YES(?,O(n^1)). 884.06/297.08 884.06/297.08 Strict Trs: 884.06/297.08 { c(y) -> y 884.06/297.08 , c(c(c(y))) -> c(c(a(y, 0()))) 884.06/297.08 , c(a(a(0(), x), y)) -> a(c(c(c(0()))), y) } 884.06/297.08 Obligation: 884.06/297.08 runtime complexity 884.06/297.08 Answer: 884.06/297.08 YES(?,O(n^1)) 884.06/297.08 884.06/297.08 The problem is match-bounded by 2. The enriched problem is 884.06/297.08 compatible with the following automaton. 884.06/297.08 { c_0(2) -> 1 884.06/297.08 , c_1(4) -> 3 884.06/297.08 , c_1(5) -> 3 884.06/297.08 , c_1(5) -> 4 884.06/297.08 , c_1(6) -> 3 884.06/297.08 , c_1(6) -> 4 884.06/297.08 , c_1(6) -> 5 884.06/297.08 , c_2(7) -> 3 884.06/297.08 , c_2(8) -> 3 884.06/297.08 , c_2(8) -> 7 884.06/297.08 , a_0(2, 2) -> 1 884.06/297.08 , a_0(2, 2) -> 2 884.06/297.08 , a_1(3, 2) -> 1 884.06/297.08 , a_2(6, 9) -> 3 884.06/297.08 , a_2(6, 9) -> 7 884.06/297.08 , a_2(6, 9) -> 8 884.06/297.08 , 0_0() -> 1 884.06/297.08 , 0_0() -> 2 884.06/297.08 , 0_1() -> 3 884.06/297.08 , 0_1() -> 4 884.06/297.08 , 0_1() -> 5 884.06/297.08 , 0_1() -> 6 884.06/297.08 , 0_2() -> 9 } 884.06/297.08 884.06/297.08 Hurray, we answered YES(?,O(n^1)) 884.28/297.21 EOF