Representing Real Numbers in a Generalized Numeration Systems
Formal Languages and Automata Theory
2009-07-07 v1
Abstract
We show how to represent an interval of real numbers in an abstract numeration system built on a language that is not necessarily regular. As an application, we consider representations of real numbers using the Dyck language. We also show that our framework can be applied to the rational base numeration systems.
Keywords
Cite
@article{arxiv.0907.0942,
title = {Representing Real Numbers in a Generalized Numeration Systems},
author = {Charlier Emilie and Le Gonidec Marion and Rigo Michel},
journal= {arXiv preprint arXiv:0907.0942},
year = {2009}
}
Comments
18 pages