Title
Actions, wreath products of C-varieties and concatenation product
Abstract
The framework of C-varieties, introduced by the third author, extends the scope of Eilenberg's variety theory to new classes of languages. In this paper, we first define C-varieties of actions, which are closely related to automata, and prove their equivalence with the original definition of C-varieties of stamps. Next, we complete the study of the wreath product initiated by Ésik and Ito by extending its definition to C-varieties in two different ways, which are proved to be equivalent. We also state an extension of the wreath product principle, a standard tool of language theory. Finally, our main result generalizes to C-varieties the algebraic characterization of the closure under product of a variety of languages.
Year
DOI
Venue
2006
10.1016/j.tcs.2006.01.039
Theor. Comput. Sci.
Keywords
DocType
Volume
original definition,different way,Wreath product,Varieties of recognizable languages,concatenation product,standard tool,new class,Finite automata,variety theory,language theory,wreath product principle,wreath product,main result generalizes,algebraic characterization
Journal
356
Issue
ISSN
Citations 
1
Theoretical Computer Science
14
PageRank 
References 
Authors
0.73
9
3
Name
Order
Citations
PageRank
Laura Chaubard1975.96
Jean-Éric Pin211210.57
Howard Straubing352860.92