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Time-Space Tradeoffs in Algebraic Complexity Theory

✍ Scribed by M. Aldaz; J. Heintz; G. Matera; J.L. Montaña; L.M. Pardo

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
294 KB
Volume
16
Category
Article
ISSN
0885-064X

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✦ Synopsis

We exhibit a new method for showing lower bounds for time-space tradeoffs of polynomial evaluation procedures given by straight-line programs. From the tradeoff results obtained by this method we deduce lower space bounds for polynomial evaluation procedures running in optimal nonscalar time. Time, denoted by L, is measured in terms of nonscalar arithmetic operations and space, denoted by S, is measured by the maximal number of pebbles (registers) used during the given evaluation procedure. The time-space tradeoff function considered in this paper is

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