Title
The Wadge Hierarchy of Max-Regular Languages
Abstract
Recently, Mikoaj Boja ´ nczyk introduced a class of max-regular languages, an extension of regular languages of infinite words preserving many of its usual properties. This new class can be seen as a different way of generalising the notion of regularity from finite to infinite words. This paper compares regular and max-regular languages in terms of topological complexity. It is proved that up to Wadge equivalence the classes coincide. Moreover, when restricted to D0 2-languages, the classes contain virtually the same languages. On the other hand, separating examples of arbitrary complexity exceeding D0 2 are constructed.
Year
DOI
Venue
2009
10.4230/LIPIcs.FSTTCS.2009.2312
FSTTCS
Field
DocType
Citations 
Discrete mathematics,Combinatorics,Abstract family of languages,Equivalence (measure theory),Regular language,Pumping lemma for regular languages,Wadge hierarchy,Mathematics
Conference
0
PageRank 
References 
Authors
0.34
6
4
Name
Order
Citations
PageRank
Jérémie Cabessa1388.47
Jacques Duparc210918.35
Alessandro Facchini3359.47
Filip Murlak418419.14