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Computing Downwards Accumulations on Trees Quickly

Jeremy Gibbons

Abstract

Downwards accumulations on binary trees are essentially functions which pass information down a tree. Under certain conditions, these accumulations are both `efficient' (computable in a functional style in parallel time proportional to the depth of the tree) and `manipulable'. In this paper, we show that these conditions do in fact yield a stronger conclusion: the accumulation can be computed in parallel time proportional to the logarithm of the depth of the tree, on a CREW PRAM machine.

Address
Brisbane
Book Title
16th Australian Computer Science Conference
Editor
Gopal Gupta and George Mohay and Rodney Topor
Month
feb
Pages
685–691
Year
1993