Similarity relations and cover automata
Jean-Marc Champarnaud; Franck Guingne; Georges Hansel
RAIRO - Theoretical Informatics and Applications (2010)
- Volume: 39, Issue: 1, page 115-123
- ISSN: 0988-3754
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topChamparnaud, Jean-Marc, Guingne, Franck, and Hansel, Georges. "Similarity relations and cover automata." RAIRO - Theoretical Informatics and Applications 39.1 (2010): 115-123. <http://eudml.org/doc/92749>.
@article{Champarnaud2010,
abstract = {
Cover automata for finite languages have been much studied a few years ago.
It turns out that a simple mathematical structure, namely
similarity relations over a finite set of words, is underlying these
studies. In the present work, we investigate in detail for themselves
the properties of these relations beyond the scope of finite languages.
New results with straightforward proofs
are obtained in this generalized framework,
and previous results concerning cover
automata are obtained as immediate consequences.
},
author = {Champarnaud, Jean-Marc, Guingne, Franck, Hansel, Georges},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Finite automata; cover automaton for a finite language; similarity relation},
language = {eng},
month = {3},
number = {1},
pages = {115-123},
publisher = {EDP Sciences},
title = {Similarity relations and cover automata},
url = {http://eudml.org/doc/92749},
volume = {39},
year = {2010},
}
TY - JOUR
AU - Champarnaud, Jean-Marc
AU - Guingne, Franck
AU - Hansel, Georges
TI - Similarity relations and cover automata
JO - RAIRO - Theoretical Informatics and Applications
DA - 2010/3//
PB - EDP Sciences
VL - 39
IS - 1
SP - 115
EP - 123
AB -
Cover automata for finite languages have been much studied a few years ago.
It turns out that a simple mathematical structure, namely
similarity relations over a finite set of words, is underlying these
studies. In the present work, we investigate in detail for themselves
the properties of these relations beyond the scope of finite languages.
New results with straightforward proofs
are obtained in this generalized framework,
and previous results concerning cover
automata are obtained as immediate consequences.
LA - eng
KW - Finite automata; cover automaton for a finite language; similarity relation
UR - http://eudml.org/doc/92749
ER -
References
top- C. Câmpeanu, N. Sântean and S. Yu, Minimal Cover-automata for Finite Languages. Theor. Comput. Sci.267 (2001) 3–16.
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- J.E. Hopcroft and J.D. Ullman, Introduction to Automata Theory, Languages, and Computation . Addison-Wesley, Reading MA (1979).
- J. Kaneps and R. Friedvalds, Running Time to Recognize Non-Regular Languages by 2-Way Probabilistic Automata, in ICALP'91. Lect. Notes Comput. Sci.510 (1991) 174–185.
- H. Körner, A Time and Space Efficient Algorithm for Minimizing Cover Automata for Finite Languages. Int. J. Foundations Comput. Sci.14 (2003) 1071–1086.
- N. Sântean, Towards a Minimal Representation for Finite Languages: Theory and Practice. Master Thesis, The University of Western Ontario (2000).
- S. Yu, Regular Languages, in Handbook of Formal Languages, edited by G. Rozenberg and A. Salomaa. Springer, Berlin (1997).
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