Two-way representations and weighted automata
Lombardy, Sylvain1
1 Institut Polytechnique de Bordeaux, LaBRI, UMR 5800, France.
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, 7th Non-Classical Models of Automata and Applications (NCMA-2015) , Tome 50 (2016) no. 4, pp. 331-350.

We study the series realized by weighted two-way automata, that are strictly more powerful than weighted one-way automata. To this end, we consider the Hadamard product and the Hadamard iteration of formal power series. We introduce two-way representations and show that the series they realize are the solutions of fixed-point equations. In rationally additive semirings, we prove that two-way automata are equivalent to two-way representations, and, for some specific classes of two-way automata, rotating and sweeping automata, we give a characterization of the series that can be realized.

Reçu le :
Accepté le :
DOI : 10.1051/ita/2016026
Classification : 68Q45, 68Q70
Mots-clés : Two-way automata, weighted automata, formal power series
Lombardy, Sylvain 1

1 Institut Polytechnique de Bordeaux, LaBRI, UMR 5800, France. 
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Lombardy, Sylvain. Two-way representations and weighted automata. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, 7th Non-Classical Models of Automata and Applications (NCMA-2015) , Tome 50 (2016) no. 4, pp. 331-350. doi : 10.1051/ita/2016026. http://archive.numdam.org/articles/10.1051/ita/2016026/

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