A burnside approach to the termination of Mohri's algorithm for polynomially ambiguous Min-Plus-automata
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 3, pp. 553-581.

We show that the termination of Mohri's algorithm is decidable for polynomially ambiguous weighted finite automata over the tropical semiring which gives a partial answer to a question by Mohri [29]. The proof relies on an improvement of the notion of the twins property and a Burnside type characterization for the finiteness of the set of states produced by Mohri's algorithm.

DOI : 10.1051/ita:2008017
Classification : 68Q45, 68Q70, 20M35
Mots-clés : weighted automata, tropical semiring, determinization 
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Kirsten, Daniel. A burnside approach to the termination of Mohri's algorithm for polynomially ambiguous Min-Plus-automata. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 3, pp. 553-581. doi : 10.1051/ita:2008017. http://www.numdam.org/articles/10.1051/ita:2008017/

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