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- $\begingroup$ What is a DFA for you? Is $\delta$ a total function? $\endgroup$Yuval Filmus– Yuval Filmus2020-04-16 15:24:50 +00:00Commented Apr 16, 2020 at 15:24
- $\begingroup$ The definition of a DFA just requires the set of final states to be a subset of the set of states. We don't require anything else. In particular, a DFA is allowed to have no accepting state, or no non-accepting state. A DFA without accepting states accepts the empty language, hence this language is regular (since a language is regular iff it is accepted by some DFA). $\endgroup$Yuval Filmus– Yuval Filmus2020-04-16 15:26:05 +00:00Commented Apr 16, 2020 at 15:26
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