Weighted automata with discounting
نویسندگان
چکیده
We investigate weighted automata with discounting and their behaviours over semirings and finitely generated graded monoids. We characterize the discounted behaviours of weighted automata precisely as rational formal power series with a discounted form of the Cauchy product. This extends a classical result of Kleene-Schützenberger. Here we show that the very special case of Schützenberger’s result for free monoids over singleton alphabets suffices to deduce our generalization.
منابع مشابه
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ورودعنوان ژورنال:
- Inf. Process. Lett.
دوره 108 شماره
صفحات -
تاریخ انتشار 2008