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integer division

RAIRO - Theoretical Informatics and Applications (1)

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1 results

Division in logspace-uniform NC 1
Andrew Chiu, George Davida, Bruce Litow
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 35 / Issue 3 / May 2001

Published online by Cambridge University Press:

15 April 2002, pp. 259-275

Print publication:

May 2001
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Beame, Cook and Hoover were the first to exhibita log-depth, polynomial size circuit family for integerdivision. However, the family was not logspace-uniform.In this paper we describe log-depth, polynomialsize, logspace-uniform, i.e., NC 1 circuit family forinteger division. In particular, by a well-known result this showsthat division is in logspace. We also refine the methodof the paper to show that division is in dlogtime-uniformNC 1.