Browsing by Author "Muscholl, Anca"

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    PUMPING LEMMAS FOR WEIGHTED AUTOMATA
    (2021) Chattopadhyay, Agnishom; Mazowiecki, Filip; Muscholl, Anca; Riveros, Cristian
    We present pumping lemmas for five classes of functions definable by fragments of weighted automata over the min-plus semiring, the max-plus semiring and the semiring of natural numbers. As a corollary we show that the hierarchy of functions definable by unambiguous, finitely-ambiguous, polynomially-ambiguous weighted automata, and the full class of weighted automata is strict for the min-plus and max-plus semirings.