Title
Computing the Closure of Sets of Words Under Partial Commutations
Abstract
The aim of this paper is the study of a procedure S given in [11, 13]. We prove that this procedure can compute the closure of the star of a closed recognizable set of words if and only if this closure is also recognizable. This necessary and sufficient condition gives a semi algorithm for the Star Problem. As intermediary results, using S, we give new proofs of some known results. In the last part, we compare the power of S with the rank notion introduced by Hashigushi [9]. Finally, we characterize the recognizability of the closure of star of recognizable closed sets of words using this rank notion.
Year
DOI
Venue
1995
10.1007/3-540-60084-1_64
ICALP
Keywords
Field
DocType
partial commutations
Discrete mathematics,Combinatorics,Computer science,Mathematical proof,If and only if
Conference
Volume
ISSN
ISBN
944
0302-9743
3-540-60084-1
Citations 
PageRank 
References 
3
0.49
7
Authors
3
Name
Order
Citations
PageRank
Yves Métivier159453.83
Gwénaël Richomme213618.10
Pierre-andré Wacrenier376636.69