Title
Free group languages: Rational versus recognizable
Abstract
We provide alternative proofs and algorithms for results proved by Senizergues on rational and recognizable free group languages. We consider two different approaches to the basic problem of deciding recognizability for rational free group languages following two fully independent paths: the symmetrification method (using techniques inspired by the study of inverse automata and inverse monoids) and the right stabilizer method (a general approach generalizable to other classes of groups). Several different algorithmic characterizations of recognizability are obtained, as well as other decidability results.
Year
DOI
Venue
2004
10.1051/ita:2004003
RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS
Keywords
Field
DocType
free group,rational subsets,recognizable subsets
Inverse,Discrete mathematics,Combinatorics,Algebra,Automaton,Decidability,Philosophy of language,Mathematical proof,Monoid,Mathematics,Free group
Journal
Volume
Issue
ISSN
38
1
1290-385X
Citations 
PageRank 
References 
6
1.27
4
Authors
1
Name
Order
Citations
PageRank
Pedro V. Silva114129.42