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

Published online by Cambridge University Press:  03 June 2008

Daniel Kirsten
Daniel Kirsten*
Affiliation:
Universität Leipzig, Institut für Informatik, Postfach 10 09 20, 04009 Leipzig, Germany
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Abstract

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.

Keywords

Weighted automatatropical semiringdeterminization.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 42 , Issue 3: JM'06 , July 2008 , pp. 553 - 581
Copyright
© EDP Sciences, 2008

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