An Improved Overlap Argument for On-line Multiplication

A lower bound of cN1ogN is proved for the mean time complexity of an on-line multitape Turing machine performing the multiplication of N-digit binary integers. For a more general class of machines the corresponding bound is cN1ogN. These bounds compare favorably with know upper bounds of the form c...

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Bibliographic Details
Main Authors: Paterson, Michael S., Fischer, Michael J., Meyer, Albert R.
Published: 2023
Online Access:https://hdl.handle.net/1721.1/148869