| Issue |
RAIRO-Theor. Inf. Appl.
Volume 37, Number 3, July-September 2003
|
|
|---|---|---|
| Page(s) | 179 - 241 | |
| DOI | https://doi.org/10.1051/ita:2003017 | |
| Published online | 15 November 2003 | |
Regular languages definable by Lindström quantifiers
1
Dept. of Computer Science,
University of Szeged,
POB 652,
6701 Szeged, Hungary; ze@inf.u-szeged.hu.
2
Dept. of Computer Science,
Aalborg University,
Fredrik Bajers Vej 7E,
9220 Aalborg, Denmark;
kgl@cs.auc.dk.
Received:
May
2003
Accepted:
August
2003
In our main result, we establish a formal connection between Lindström quantifiers with respect to regular languages and the double semidirect product of finite monoids with a distinguished set of generators. We use this correspondence to characterize the expressive power of Lindström quantifiers associated with a class of regular languages.
Mathematics Subject Classification: 20M35 / 68Q45 / 68Q60 / 68Q70
Key words: Regular language / logic / Lindström quantifier / expressive power / semidirect product.
© EDP Sciences, 2003
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