YES(?,O(n^1)) 3.60/1.24 YES(?,O(n^1)) 3.60/1.24 3.60/1.24 We are left with following problem, upon which TcT provides the 3.60/1.24 certificate YES(?,O(n^1)). 3.60/1.24 3.60/1.24 Strict Trs: 3.60/1.24 { f(x, x, y) -> x 3.60/1.24 , f(x, y, y) -> y 3.60/1.24 , f(x, y, g(y)) -> x 3.60/1.24 , f(f(x, y, z), u, f(x, y, v)) -> f(x, y, f(z, u, v)) 3.60/1.24 , f(g(x), x, y) -> y } 3.60/1.24 Obligation: 3.60/1.24 runtime complexity 3.60/1.24 Answer: 3.60/1.24 YES(?,O(n^1)) 3.60/1.24 3.60/1.24 The problem is match-bounded by 0. The enriched problem is 3.60/1.24 compatible with the following automaton. 3.60/1.24 { f_0(2, 2, 2) -> 1 3.60/1.24 , g_0(2) -> 1 3.60/1.24 , g_0(2) -> 2 } 3.60/1.24 3.60/1.24 Hurray, we answered YES(?,O(n^1)) 3.60/1.24 EOF