Quantitative Languages Defined by Functional Automata

@article{Filiot2011QuantitativeLD,
  title={Quantitative Languages Defined by Functional Automata},
  author={Emmanuel Filiot and Raffaella Gentilini and Jean-François Raskin},
  journal={Logical Methods in Computer Science},
  year={2011},
  volume={11}
}
In this paper, we study several decision problems for functi o al weighted automata. To associate values with runs, we consider four different measure functions: th e sum, the mean, the discounted sum of weights along edges and the ratio between rewards and costs. On the po sitive side, we show that the existential and universal threshold problems, the language inclusion p r blem and the equivalence problem are all decidable for the class of functional weighted automata and the four measure… CONTINUE READING
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