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arXiv · 1908.03890

A Robust Class of Linear Recurrence Sequences

Corentin Barloy·Nathanaël Fijalkow·Nathan Lhote·Filip Mazowiecki
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Abstract

We introduce a subclass of linear recurrence sequences which we call poly-rational sequences because they are denoted by rational expressions closed under sum and product. We show that this class is robust by giving several characterisations: polynomially ambiguous weighted automata, copyless cost-register automata, rational formal series, and linear recurrence sequences whose eigenvalues are roots of rational numbers.

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Corentin Barloy, Nathanaël Fijalkow, Nathan Lhote, Filip Mazowiecki. 2019-08-11. A Robust Class of Linear Recurrence Sequences. https://arxiv.org/abs/1908.03890

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