Title
Hierarchy Among Automata on Linear Orderings
Abstract
In a preceding paper, automata and rational expressions have been introduced for words indexed by linear orderings, together with a Kleene-like theorem. We here pursue this work by proposing a hierarchy among the rational sets. Each class of the hierarchy is defined by a subset of the rational operations that can be used. We then characterize any class by an appropriate class of automata, leading to a Kleene theorem inside the class. A characterization by particular classes of orderings is also given.
Year
DOI
Venue
2005
10.1007/s00224-005-1129-2
Theory of Computing Systems \/ Mathematical Systems Theory
Keywords
DocType
Volume
Computational Mathematic,Linear Ordering,Rational Expression,Preceding Paper,Rational Operation
Journal
38
Issue
ISSN
ISBN
5
1432-4350
1-4020-7181-7
Citations 
PageRank 
References 
8
0.82
8
Authors
2
Name
Order
Citations
PageRank
Véronique Bruyère142943.59
Olivier Carton238140.97