Title
An aperiodicity problem for multiwords.
Abstract
Multiwords are words in which a single symbol can be replaced by a nonempty set of symbols. They extend the notion of partial words. A word w is certain in a multiword M if it occurs in every word that can be obtained by selecting one single symbol among the symbols provided in each position of M. Motivated by a problem on incomplete databases, we investigate a variant of the pattern matching problem which is to decide whether a word w is certain in a multiword M. We study the language CERTAIN(w) of multiwords in which w is certain. We show that this regular language is aperiodic for three large families of words. We also show its aperiodicity in the case of partial words over an alphabet with at least three symbols.
Year
DOI
Venue
2012
10.1051/ita/2011131
RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS
Keywords
Field
DocType
Pattern matching,aperiodicity,partial words
Mathematics Subject Classification,Symbol,Arithmetic,Natural language processing,Artificial intelligence,Regular language,Aperiodic graph,Pattern matching,Mathematics,Alphabet
Journal
Volume
Issue
ISSN
46
SP1
0988-3754
Citations 
PageRank 
References 
0
0.34
10
Authors
5
Name
Order
Citations
PageRank
Véronique Bruyère142943.59
Olivier Carton238140.97
Alexandre Decan311811.57
Olivier Gauwin49510.81
Jef Wijsen567895.21