Issue |
RAIRO-Theor. Inf. Appl.
Volume 55, 2021
|
|
---|---|---|
Article Number | 3 | |
Number of page(s) | 7 | |
DOI | https://doi.org/10.1051/ita/2021001 | |
Published online | 20 April 2021 |
The simplest binary word with only three squares★
School of Computer Science, University of Waterloo,
Waterloo,
ON
N2L 3G1 Canada.
** Corresponding author: shallit@uwaterloo.ca
Received:
27
July
2020
Accepted:
19
February
2021
We re-examine previous constructions of infinite binary words containing few distinct squares with the goal of finding the “simplest”, in a certain sense. We exhibit several new constructions. Rather than using tedious case-based arguments to prove that the constructions have the desired property, we rely instead on theorem-proving software for their correctness.
Mathematics Subject Classification: 68R15
© EDP Sciences, 2021
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