| KLÍMA, Ondřej and Libor POLÁK. On Biautomata. In Rudolf Freund, Markus Holzer, Carlo Mereghetti, Friedrich Otto, Beatrice Palano. Non-Classical Models for Automata and Applications. Austrian Computer Society, 2011, p. 153-164. ISBN 978-3-85403-282-3. |
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@inproceedings{958854,
author = {Klíma, Ondřej and Polák, Libor},
booktitle = {Non-Classical Models for Automata and Applications},
editor = {Rudolf Freund, Markus Holzer, Carlo Mereghetti, Friedrich Otto, Beatrice Palano},
language = {eng},
isbn = {978-3-85403-282-3},
pages = {153-164},
publisher = {Austrian Computer Society},
title = {On Biautomata},
year = {2011}
}
TY - JOUR
ID - 958854
AU - Klíma, Ondřej - Polák, Libor
PY - 2011
TI - On Biautomata
PB - Austrian Computer Society
SN - 9783854032823
N2 - We initiate the theory and applications of biautomata. A biautomaton can read a word alternately from the left and from the right. We assign to each regular language L its canonical biautomaton. This structure plays, among all biautomata recognizing the language L, the same role as the minimal deterministic automaton has among all deterministic automata recognizing the language L. We expect that from the graph structure of this automaton one could decide the membership of a given language to certain signicant classes of languages. We present the rst result of this kind: a language L is piecewise testable if and only if the canonical biautomaton of L is acyclic. From this result the famous Simon's characterization of piecewise testable languages easily follows.
ER -
KLÍMA, Ondřej and Libor POLÁK. On Biautomata. In Rudolf Freund, Markus Holzer, Carlo Mereghetti, Friedrich Otto, Beatrice Palano. \textit{Non-Classical Models for Automata and Applications}. Austrian Computer Society, 2011, p.~153-164. ISBN~978-3-85403-282-3.
|
