Agnishom Chattopadhyay ; Filip Mazowiecki ; Anca Muscholl ; Cristian Riveros - Pumping lemmas for weighted automata

lmcs:6039 - Logical Methods in Computer Science, July 21, 2021, Volume 17, Issue 3 - https://doi.org/10.46298/lmcs-17(3:7)2021
Pumping lemmas for weighted automata

Authors: Agnishom Chattopadhyay ; Filip Mazowiecki ; Anca Muscholl ; Cristian Riveros

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.


Volume: Volume 17, Issue 3
Published on: July 21, 2021
Accepted on: May 29, 2021
Submitted on: January 20, 2020
Keywords: Computer Science - Logic in Computer Science


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