A Robust Class of Linear Recurrence Sequences

Autor: Barloy, Corentin, Fijalkow, Nathanaël, Lhote, Nathan, Mazowiecki, Filip
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv