YES(?,O(n^1)) 13.97/4.27 YES(?,O(n^1)) 13.97/4.27 13.97/4.27 We are left with following problem, upon which TcT provides the 13.97/4.27 certificate YES(?,O(n^1)). 13.97/4.27 13.97/4.27 Strict Trs: 13.97/4.27 { a(c(d(x))) -> c(x) 13.97/4.27 , u(b(d(d(x)))) -> b(x) 13.97/4.27 , v(a(a(x))) -> u(v(x)) 13.97/4.27 , v(a(c(x))) -> u(b(d(x))) 13.97/4.27 , v(c(x)) -> b(x) 13.97/4.27 , w(a(a(x))) -> u(w(x)) 13.97/4.27 , w(a(c(x))) -> u(b(d(x))) 13.97/4.27 , w(c(x)) -> b(x) } 13.97/4.27 Obligation: 13.97/4.27 runtime complexity 13.97/4.27 Answer: 13.97/4.27 YES(?,O(n^1)) 13.97/4.27 13.97/4.27 The problem is match-bounded by 1. The enriched problem is 13.97/4.27 compatible with the following automaton. 13.97/4.27 { a_0(2) -> 1 13.97/4.27 , c_0(2) -> 2 13.97/4.27 , c_1(2) -> 1 13.97/4.27 , d_0(2) -> 2 13.97/4.27 , u_0(2) -> 1 13.97/4.27 , b_0(2) -> 2 13.97/4.27 , b_1(2) -> 1 13.97/4.27 , v_0(2) -> 1 13.97/4.27 , w_0(2) -> 1 } 13.97/4.27 13.97/4.27 Hurray, we answered YES(?,O(n^1)) 13.97/4.28 EOF