YES(?,O(n^1)) 3.41/2.17 YES(?,O(n^1)) 3.41/2.17 3.41/2.17 We are left with following problem, upon which TcT provides the 3.41/2.17 certificate YES(?,O(n^1)). 3.41/2.17 3.41/2.17 Strict Trs: { f(g(X)) -> f(X) } 3.41/2.17 Obligation: 3.41/2.17 derivational complexity 3.41/2.17 Answer: 3.41/2.17 YES(?,O(n^1)) 3.41/2.17 3.41/2.17 TcT has computed the following matrix interpretation satisfying 3.41/2.17 not(EDA) and not(IDA(1)). 3.41/2.17 3.41/2.17 [1 0 0 0] [1] 3.41/2.17 [f](x1) = [0 0 0 0] x1 + [1] 3.41/2.17 [0 0 0 0] [1] 3.41/2.17 [0 0 0 0] [1] 3.41/2.17 3.41/2.17 [1 0 0 0] [1] 3.41/2.17 [g](x1) = [0 0 0 0] x1 + [1] 3.41/2.17 [0 0 0 0] [1] 3.41/2.17 [0 0 0 0] [1] 3.41/2.17 3.41/2.17 The order satisfies the following ordering constraints: 3.41/2.17 3.41/2.17 [f(g(X))] = [1 0 0 0] [2] 3.41/2.17 [0 0 0 0] X + [1] 3.41/2.17 [0 0 0 0] [1] 3.41/2.17 [0 0 0 0] [1] 3.41/2.17 > [1 0 0 0] [1] 3.41/2.17 [0 0 0 0] X + [1] 3.41/2.17 [0 0 0 0] [1] 3.41/2.17 [0 0 0 0] [1] 3.41/2.17 = [f(X)] 3.41/2.17 3.41/2.17 3.41/2.17 Hurray, we answered YES(?,O(n^1)) 3.41/2.17 EOF