Effective Divergence Analysis for Linear Recurrence Sequences

Shaull Almagor; Brynmor Chapman; Mehran Hosseini; Joël Ouaknine; James Worrell

doi:10.4230/lipics.concur.2018.42

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arXiv · 1806.07740

Effective Divergence Analysis for Linear Recurrence Sequences

Shaull Almagor·Brynmor Chapman·Mehran Hosseini·Joël Ouaknine·James Worrell

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Abstract

We study the growth behaviour of rational linear recurrence sequences. We show that for low-order sequences, divergence is decidable in polynomial time. We also exhibit a polynomial-time algorithm which takes as input a divergent rational linear recurrence sequence and computes effective fine-grained lower bounds on the growth rate of the sequence.

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Shaull Almagor, Brynmor Chapman, Mehran Hosseini, Joël Ouaknine, James Worrell. 2018-06-20. Effective Divergence Analysis for Linear Recurrence Sequences. https://doi.org/10.4230/lipics.concur.2018.42

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