YES(?,O(n^1)) 5.64/3.35 YES(?,O(n^1)) 5.64/3.35 5.64/3.35 We are left with following problem, upon which TcT provides the 5.64/3.35 certificate YES(?,O(n^1)). 5.64/3.35 5.64/3.35 Strict Trs: { a(b(x)) -> a(c(b(x))) } 5.64/3.35 Obligation: 5.64/3.35 derivational complexity 5.64/3.35 Answer: 5.64/3.35 YES(?,O(n^1)) 5.64/3.35 5.64/3.35 TcT has computed the following matrix interpretation satisfying 5.64/3.35 not(EDA) and not(IDA(1)). 5.64/3.35 5.64/3.35 [1 1 0 0] [1] 5.64/3.35 [a](x1) = [0 0 0 0] x1 + [1] 5.64/3.35 [0 0 0 0] [1] 5.64/3.35 [0 0 0 0] [1] 5.64/3.35 5.64/3.35 [1 0 0 0] [0] 5.64/3.35 [b](x1) = [0 0 0 0] x1 + [1] 5.64/3.35 [0 0 0 0] [0] 5.64/3.35 [0 0 0 0] [0] 5.64/3.35 5.64/3.35 [1 0 0 0] [0] 5.64/3.35 [c](x1) = [0 0 0 0] x1 + [0] 5.64/3.35 [0 0 0 0] [0] 5.64/3.35 [0 0 0 0] [0] 5.64/3.35 5.64/3.35 The order satisfies the following ordering constraints: 5.64/3.35 5.64/3.35 [a(b(x))] = [1 0 0 0] [2] 5.64/3.35 [0 0 0 0] x + [1] 5.64/3.35 [0 0 0 0] [1] 5.64/3.35 [0 0 0 0] [1] 5.64/3.35 > [1 0 0 0] [1] 5.64/3.35 [0 0 0 0] x + [1] 5.64/3.35 [0 0 0 0] [1] 5.64/3.35 [0 0 0 0] [1] 5.64/3.35 = [a(c(b(x)))] 5.64/3.35 5.64/3.35 5.64/3.35 Hurray, we answered YES(?,O(n^1)) 5.64/3.36 EOF