The Dempty set detector [1] has completed its first data taking run at
the Fermi National Accelerator Laboratory's pBAR-p Tevatron collider.
The Level 0 trigger system is the Dempty set experiment's first trigg
er level used to identify colliding beam crossings containing interact
ions. It consists of two hodoscopes of scintillation tiles located jus
t outside the Dempty set central tracking region. The Level 0 trigger
provides a fast measurement of the interaction position along the beam
axis for use in early trigger decisions. A slower, more accurate posi
tion of the interaction and an indication of the occurrence of multipl
e interactions are available for subsequent trigger decisions. In addi
tion, the Level 0 trigger is used as a luminosity monitor for Dempty s
et. Results on the performance of the Level 0 trigger are presented.