The most natural, compositional, way of modeling real-time systems use
s a dense domain for time. The satisfiability of timing constraints th
at are capable of expressing punctuality in this model however, is kno
wn to be undecidable. We introduce a temporal language that can constr
ain the time difference between events only with finite, yet arbitrary
, precision and show the resulting logic to be EXPSPACE-complete. This
result allows us to develop an algorithm for the verification of timi
ng properties of real-time systems with a dense semantics.