  We present evidence for a phase transition in a theory of 2D causal set
quantum gravity which contains a dimensionless non-locality parameter $\epsilon
\in (0,1]$. The transition is between a continuum phase and a crystalline
phase, characterised by a set of covariant observables. For a fixed size of the
causal set the transition temperature $\beta_c^{-1}$ decreases monotonotically
with $\epsilon$. The line of phase transitions in the $\beta_c^2$ v/s
$\epsilon$ plane asymptotes to the infinite temperature axis, suggesting that
the continuum phase survives the analytic continuation.
