BSR (Broadcasting with Selective Reduction) is a PRAM more powerful than an
y CRCW PRAM. in order to extend the Broadcast Instruction of BSR and make i
t more useful for a large class of applications, this article permits it to
use a general form of selection, specifically, an arbitrary relational exp
ression. BSR with general selection is denoted by BSR+. Thus, BSR or BSR wi
th L criteria (k > 1) is BSR+ in a special case. An efficient implementatio
n for the Broadcast Instruction of BSR+ is proposed; requiring (1/k)th of t
he circuits used by the best previous implementation of BSR with k criteria
. Of all PRAMs, BSR+ is the most powerful in computation.