A note on the complexity of addition

Emil Jeřábek

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arXiv · 2306.08513

A note on the complexity of addition

Emil Jeřábek

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Abstract

We show that the sum of a sequence of integers can be computed in linear time on a Turing machine. In particular, the most obvious algorithm for this problem, which appears to require quadratic time due to carry propagation, actually runs in linear time by amortized analysis.

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Emil Jeřábek. 2023-06-14. A note on the complexity of addition. https://arxiv.org/abs/2306.08513

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