Abstract

We consider ordered restart-delete automata, which are actually just deterministic ordered restarting automata (det-ORWW-automata) that have an additional delete operation. We show that these automata don't need states, that they accept all deterministic context-free languages, and that they even accept some languages that are not deterministic context-free. On the other hand, these automata only accept languages that are at the same time context-free and Church-Rosser. In addition, some closure and nonclosure properties for the class of languages accepted by deterministic ordered restart-delete automata are presented.

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