Title
Algebraic and Topological Theory of Languages
Abstract
A language is torsion (resp. bounded torsion, aperiodic, bounded aperiodic), if its syntactic monoid is torsion (resp. bounded torsion, aperiodic, bounded aperiodic). We generalize the regular language theorems of Klenne, Schutzenberger and Straubing to describe the classes of torsion, bounded torsion, aperiodic and bounded aperiodic languages. These descriptions involve taking limits of sequences of languages and automata for certain topologies defined by filtrations of the free monoid. A theorem for arbitrary languages over finite alphabets is also stated and proved.
Year
Venue
Field
1995
RAIRO-INFORMATIQUE THEORIQUE ET APPLICATIONS-THEORETICAL INFORMATICS AND APPLICATIONS
Combinatorics,Algebraic number,Pure mathematics,Free monoid,Mathematics,Alphabet
DocType
Volume
Issue
Journal
29
1
ISSN
Citations 
PageRank 
0988-3754
3
0.67
References 
Authors
5
2
Name
Order
Citations
PageRank
John Rhodes18920.04
Pascal Weil214315.51