Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm

In this article we formalize in Mizar [1], [2] the maximum number of steps taken by some number theoretical algorithms, “right–to–left binary algorithm” for modular exponentiation and “Euclidean algorithm” [5]. For any natural numbers a, b, n, “right–to–left binary algorithm” can calculate the natur...

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Bibliographic Details
Main Authors: Okazaki Hiroyuki, Nagao Koh-ichi, Futa Yuichi
Format: Article
Language:English
Published: Sciendo 2019-04-01
Series:Formalized Mathematics
Subjects:
Online Access:https://doi.org/10.2478/forma-2019-0009