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tropical semiring

RAIRO - Theoretical Informatics and Applications (1)

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A Burnside Approach to the Termination of Mohri's Algorithm for Polynomially Ambiguous Min-Plus-Automata
Daniel Kirsten
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 42 / Issue 3 / July 2008

Published online by Cambridge University Press:

03 June 2008, pp. 553-581

Print publication:

July 2008
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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.