List Approximation for Increasing Kolmogorov Complexity

It is impossible to effectively modify a string in order to increase its Kolmogorov complexity. However, is it possible to construct a few strings, no longer than the input string, so that most of them have larger complexity? We show that the answer is yes. We present an algorithm that takes as inpu...

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Bibliographic Details
Main Author: Marius Zimand
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/10/4/334