Representing real numbers in a generalized numeration system
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. (C) 2010 Elsevier Inc. All rights reserved.
real numbers numeration system representation dyck language rational base infinite word