YES
TRS:
 { f(0(), y) -> 0(),
  f(s(x), y) -> f(f(x, y), y)}
 DP:
  Strict:
   {f#(s(x), y) -> f#(x, y),
    f#(s(x), y) -> f#(f(x, y), y)}
  Weak:
  { f(0(), y) -> 0(),
   f(s(x), y) -> f(f(x, y), y)}
  EDG:
   {(f#(s(x), y) -> f#(x, y), f#(s(x), y) -> f#(x, y))
    (f#(s(x), y) -> f#(x, y), f#(s(x), y) -> f#(f(x, y), y))}
   SCCS:
    Scc:
     {f#(s(x), y) -> f#(x, y)}
    SCC:
     Strict:
      {f#(s(x), y) -> f#(x, y)}
     Weak:
     { f(0(), y) -> 0(),
      f(s(x), y) -> f(f(x, y), y)}
     SPSC:
      Simple Projection:
       pi(f#) = 0
      Strict:
       {}
      Qed