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Electronic Colloquium on Computational Complexity

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All reports by Author Ming Li:

TR96-051 | 1st October 1996
Richard Beigel, William Gasarch, Ming Li, Louxin Zhang

Addition in $\log_2{n}$ + O(1)$ Steps on Average: A Simple Analysis

We demonstrate the use of Kolmogorov complexity in average case
analysis of algorithms through a classical example: adding two $n$-bit
numbers in $\ceiling{\log_2{n}}+2$ steps on average. We simplify the
analysis of Burks, Goldstine, and von Neumann in 1946 and
(in more complete forms) of Briley and of Schay.

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