YES(?,O(n^2))
TRS:
 {
    half 0() -> 0(),
  half s s x -> s half x,
   log s 0() -> 0(),
   log s s x -> s log s half x
 }
 DUP: We consider a non-duplicating system.
  Trs:
   {
      half 0() -> 0(),
    half s s x -> s half x,
     log s 0() -> 0(),
     log s s x -> s log s half x
   }
  Matrix Interpretation:
   Interpretation class: triangular
         [X1]    [1 3][X1]   [3]
   [log]([X0]) = [0 1][X0] + [0]
   
       [X1]    [1 0][X1]   [1]
   [s]([X0]) = [0 1][X0] + [2]
   
          [X1]    [1 0][X1]   [1]
   [half]([X0]) = [0 1][X0] + [0]
   
         [0]
   [0] = [0]
   
   
   Qed