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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.
@article{ITA_2008__42_3_553_0,
author = {Kirsten, Daniel},
title = {A burnside approach to the termination of {Mohri's} algorithm for polynomially ambiguous {Min-Plus-automata}},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {553--581},
publisher = {EDP-Sciences},
volume = {42},
number = {3},
year = {2008},
doi = {10.1051/ita:2008017},
mrnumber = {2434035},
zbl = {1155.68042},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2008017/}
}
TY - JOUR AU - Kirsten, Daniel TI - A burnside approach to the termination of Mohri's algorithm for polynomially ambiguous Min-Plus-automata JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2008 SP - 553 EP - 581 VL - 42 IS - 3 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ita:2008017/ DO - 10.1051/ita:2008017 LA - en ID - ITA_2008__42_3_553_0 ER -
%0 Journal Article %A Kirsten, Daniel %T A burnside approach to the termination of Mohri's algorithm for polynomially ambiguous Min-Plus-automata %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2008 %P 553-581 %V 42 %N 3 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ita:2008017/ %R 10.1051/ita:2008017 %G en %F ITA_2008__42_3_553_0
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://geodesic.mathdoc.fr/articles/10.1051/ita:2008017/
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