Representing real numbers in a generalized numeration system

作者：Charlier Emilie; Le Gonidec Marion; Rigo Michel^*

来源：Journal of Computer and System Sciences, 2011, 77(4): 743-759.

DOI：10.1016/j.jcss.2010.07.002

• Real numbers
• Representation
• Numeration system
• Dyck language
• Infinite word
• Rational base

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.

• 出版日期2011-7