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Abstract:
We show non-trivial lower bounds for several prefix problems in the
CRCW PRAM model. Our main result is an $\Omega(\alpha(n))$ lower bound
for the chaining problem, matching the previously known upper bound.
We give a reduction to show that the same lower bound applies to a
parenthesis matching problem, again matching the previously known
upper bound. We also give reductions to show that similar lower
bounds hold for the prefix maxima and the range maxima problems.