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JCSS
2011
13 years 2 months ago
2011
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 ...
JCT
2010
13 years 6 months ago
2010
Abstract. New enumerating functions for the Euler numbers are considered. Several of the relevant generating functions appear in connection to entries in Ramanujan’s Lost Noteboo...
ICALP
2007
Springer
13 years 11 months ago
2007
Springer
Abstract. This paper studies the expressive power of finite-state automata recognizing sets of real numbers encoded positionally. It is known that the sets that are definable in th...
ENTCS
2006
13 years 8 months ago
2006
In this article we present a method to define algebraic structure (field operations) on a representation of real numbers by coinductive streams. The field operations will be given...
CADE
2009
Springer
14 years 8 months ago
2009
Springer
Abstract This work studies the properties of finite automata recognizing vectors with real components, encoded positionally in a given integer numeration base. Such automata are us...