Picture of athlete cycling

Open Access research with a real impact on health...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by Strathclyde researchers, including by researchers from the Physical Activity for Health Group based within the School of Psychological Sciences & Health. Research here seeks to better understand how and why physical activity improves health, gain a better understanding of the amount, intensity, and type of physical activity needed for health benefits, and evaluate the effect of interventions to promote physical activity.

Explore open research content by Physical Activity for Health...

A final coalgebra for k-regular sequences

Hansen, Helle Hvid and Kupke, Clemens and Rutten, Jan and Winter, Joost (2014) A final coalgebra for k-regular sequences. In: Horizons of the Mind. Springer: Lecture Notes in Computer Science, pp. 363-383. ISBN 978-3-319-06879-4

Full text not available in this repository. Request a copy from the Strathclyde author

Abstract

We study k-regular sequences from a coalgebraic perspective. Building on the observation that the set of streams over a semiring S can be turned into a final coalgebra, we obtain characterizations of k-regular sequences in terms of finite weighted automata, finite systems of behavioral differential equations, and recognizable power series. The latter characterization is obtained via an isomorphism of final coalgebras based on the k-adic numeration system.