  We study the self-tuning subclass of kinetic gravity braiding and obtain
robust predictions on self-tuning and dynamics in the tadpole-free shift
symmetric sector of the theory. In particular, we show inevitability of cosmic
acceleration, prove the dynamical stability of this late-time asymptotic state,
and derive ghost and gradient stability constraints on the self-tuning vacuum.
We discuss the results concretely in the context of generalized cubic covariant
Galileon theory and an exponential kinetic gravity braiding.
