  A large class of the dynamical laws for causal sets described by a classical
process of sequential growth yield a cyclic universe, whose cycles of expansion
and contraction are punctuated by single `origin elements' of the causal set.
We present evidence that the effective dynamics of the immediate future of one
of these origin elements, within the context of the sequential growth dynamics,
yields an initial period of de Sitter like exponential expansion, and argue
that the resulting picture has many attractive features as a model of the early
universe, with the potential to solve some of the standard model puzzles
without any fine tuning.
