The Containment Problem for Unambiguous Register Automata and Unambiguous Timed Automata

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The Containment Problem for Unambiguous Register Automata and Unambiguous Timed Automata Antoine Mottet1

· Karin Quaas2

© Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract We investigate the complexity of the containment problem “Does L(A) ⊆ L(B ) hold?” for register automata and timed automata, where B is assumed to be unambiguous and A is arbitrary. We prove that the problem is decidable in the case of register automata over (N, =), in the case of register automata over (Q,