Department of Computer Science
 
Chair V

 
University of Bonn -> Department of Computer Science -> Chair V
CS-Reports 1998 Copyright 1998 University of Bonn, Department of Computer Science, Abt. V
85184

A Lower Bound for Integer Multiplication on Randomized Read-Once Branching Programs
Farid Ablayev, Marek Karpinski
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We prove an exponential lower bound ($2^{\Omega(n/\log n)}$) on the size of any {\em randomized} ordered read-once branching program computing {\em integer multiplication}. Our proof depends on proving a new lower bound on Yao's randomized one-way communication complexity of certain boolean functions. It generalizes to some other common models of randomized branching programs. In contrast, we prove that {\em testing integer multiplication}, contrary even to nondeterministic situation, can be computed by {\em randomized} ordered read-once branching program in polynomial size. It is also known that computing the latter problem with deterministic read-once branching programs is as hard as factoring integers.

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University of Bonn -> Department of Computer Science -> Chair V