  A major challenge in Causal Set research is that theories need only to match
general relativity and quantum field theory in the appropriate limits. This
means that there should be many different ways to calculate a scalar field
propagator in a causal set that match the known limits, but may give
significantly different results on the small scale. In this work, we explore
under what conditions a path sum will correspond to a scalar field propagator
in such a way that it matches the known value in the continuum limit. A family
of solutions for the path sum is found and is verified numerically in a few
specific cases.
