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Regular Separability of Parikh Automata (1612.06233v1)
Published 19 Dec 2016 in cs.FL
Abstract: We investigate a subclass of languages recognized by vector addition systems, namely languages of nondeterministic Parikh automata. While the regularity problem (is the language of a given automaton regular?) is undecidable for this model, we show surprising decidability of the regular separability problem: given two Parikh automata, is there a regular language that contains one of them and is disjoint from the other?