YES

TRS:

  +(0(),y) -> y
  +(s(x),y) -> s(+(x,y))
  -(0(),y) -> 0()
  -(x,0()) -> x
  -(s(x),s(y)) -> -(x,y)

linear polynomial interpretations on N:

  +_A(x1,x2) = x1 + x2 + 1
  +#_A(x1,x2) = x1 + x2
  0_A = 1
  0#_A = 0
  s_A(x1) = x1 + 1
  s#_A(x1) = 0
  -_A(x1,x2) = x1
  -#_A(x1,x2) = 1

precedence:

  - > + = 0 = s