DeBruijn Strings, Double Helices, and the Ehrenfeucht-Mycielski Mechanism

TL;DR

This paper explores the connections between Ehrenfeucht-Mycielski pseudo-random sequences and DeBruijn strings, providing new insights into their structure and properties.

Contribution

It introduces novel links between Ehrenfeucht-Mycielski sequences and DeBruijn strings, enhancing understanding of their combinatorial and pseudo-random characteristics.

Findings

Established a formal connection between Ehrenfeucht-Mycielski sequences and DeBruijn strings.

Demonstrated structural properties of the sequences related to double helices.

Provided theoretical insights into the mechanisms underlying pseudo-random sequence generation.

Abstract

We revisit the pseudo-random sequence introduced by Ehrenfeucht and Mycielski and its connections with DeBruijn strings.