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Pumping lemmas for weighted automata

Filip Mazowiecki ( University of Bordeaux )


We present three pumping lemmas for three classes of functions definable by fragments of weighted automata over the min-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 semiring.


This is joint work with Cristian Riveros to be presented at stacs 2018.



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