Showing papers in "Journal of Automata, Languages and Combinatorics in 1974"
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102 citations
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TL;DR: An algorithm and some related results by Mohri for determinization of weighted finite automata (WFA) over the tropical semiring are generalized and a class of semirings in which the twins property is sufficient for the termination of the algorithm is defined.
Abstract: In the paper, we generalize an algorithm and some related results by Mohri [25] for determinization of weighted finite automata (WFA) over the tropical semiring We present the underlying mathematical concepts of his algorithm in a precise way for arbitrary semirings We define a class of semirings in which we can show that the twins property is sufficient for the termination of the algorithm We also introduce single-valued WFA and give a partial correction of a claim by Mohri [25] by showing several characterizations of single-valued WFA, eg, the formal power series computed by a single-valued WFA is subsequential iff it has bounded variation Also, it is decidable in polynomial time whether a given WFA over the tropical semiring is single-valued
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