Pumping lemmas for weighted automata
Filip Mazowiecki ( University of Bordeaux )
- 11:00 25th January 2018 ( week 2, Hilary Term 2018 )Tony Hoare Room in RHB
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.