  We construct a cascading brane model of gravity in which the behavior of the
gravitational force law interpolates from (n+4)-dimensional to
(n+3)-dimensional all the way down to 4-dimensional from longer to shorter
length scales. We show that at the linearized level, this model exhibits the
features necessary for degravitation of the cosmological constant. The model is
shown to be ghost free with the addition of suitable brane kinetic operators,
and we demonstrate this using a number of independent procedures. Consequently
this is a consistent IR modification of gravity, providing a promising
framework for a dynamical, degravitating solution of the cosmological constant
problem.
