27 Open Problems in Kolmogorov Complexity
Andrei Romashchenko, Alexander Shen, and Marius Zimand
TL;DR
This paper presents a collection of open problems in classical Kolmogorov complexity, providing background and surveying recent research to guide future investigations in the field.
Contribution
It introduces 27 open problems in Kolmogorov complexity, combining background information with a survey of recent studies to stimulate further research.
Findings
Identification of 27 open problems in Kolmogorov complexity
Survey of recent studies related to these problems
Provides background context for each problem
Abstract
The paper proposes open problems in classical Kolmogorov complexity. Each problem is presented with background information and thus the article also surveys some recent studies in the area.
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Taxonomy
TopicsComputability, Logic, AI Algorithms · Advanced Topology and Set Theory · Benford’s Law and Fraud Detection