YES(?,O(n^2))

Problem:
 a(a(x)) -> a(b(a(x)))

Proof:
 Complexity Transformation Processor:
  strict:
   a(a(x)) -> a(b(a(x)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 2
   max_matrix:
    [1 1]
    [0 0]
    interpretation:
               [1 0]  
     [b](x0) = [0 0]x0,
     
               [1 1]     [0]
     [a](x0) = [0 0]x0 + [1]
    orientation:
               [1 1]    [1]    [1 1]    [0]             
     a(a(x)) = [0 0]x + [1] >= [0 0]x + [1] = a(b(a(x)))
    problem:
     strict:
      
     weak:
      a(a(x)) -> a(b(a(x)))
    Qed