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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.

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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