Title
Left-noncounting languages
Abstract
LetX be a finite alphabet and letX* be the free monoid generated byX. A languageA <img src="/fulltext-image.asp?format=htmlnonpaginated&src=J1M207728GL12060_html\10766_2004_Article_BF00976221_TeX2GIFIE1.gif" border="0" alt=" $$ \subseteq $$ " />X* is called left-noncounting if there existsk ≥ 0 such that forx,y εX*,xky εA if and only ifxk+iy εA. The class of all left-noncounting languages overX forms a Boolean algebra which generally contains properly the class of all noncounting languages overX and is properly contained in the class of all power-separating languages overX. In this paper, we discuss some relations among these three classes of languages and we characterize the automata accepting the left-noncounting languages and the syn tactic monoids of the left-noncounting languages.
Year
DOI
Venue
1975
10.1007/BF00976221
International Journal of Parallel Programming
Keywords
Field
DocType
automaton,left-noncounting language,disjunctive subset,free monoid,com- binatorial monoid,power-separating language,syntactic monoid,left combinatorial monoid.,code,combinatorial right congruence,regular language,boolean algebra
Discrete mathematics,Computer science,Abstract family of languages,Theoretical computer science,Monoid,Boolean algebra,Rewriting,Syntactic monoid,Regular language,Free monoid,Trace theory
Journal
Volume
Issue
Citations 
4
1
2
PageRank 
References 
Authors
0.58
4
2
Name
Order
Citations
PageRank
H. J. Shyr120.58
G. Thierrin26810.18