Stringological sequence prediction II: Right-to-left automaticity and related complexity measures
Formal Languages and Automata Theory
2026-07-19 v1 Data Structures and Algorithms
Machine Learning
Abstract
In a previous paper, we began the study of sequence prediction algorithms adapted to stringological word complexity measures. One measure we considered was left-to-right (most-significant-digit-first) automaticity. Here, we show a statistically and computationally efficient algorithm adapted to the ``dual'' right-to-left (least-significant-digit-first) automaticity, which turns out to be substantially different for our purpose. We also demonstrate a prediction algorithm for a more expressive measure that we call ``arithmetic repetition complexity''. In particular, the latter can be used for predicting the so-called mix-automatic sequences.
Keywords
Cite
@article{arxiv.2607.17369,
title = {Stringological sequence prediction II: Right-to-left automaticity and related complexity measures},
author = {Vanessa Kosoy},
journal= {arXiv preprint arXiv:2607.17369},
year = {2026}
}
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73 pages