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Illustration DFA - words contain two or less 0s

<span>DFA - words contain two or less 0s</span>
DFA - words contain two or less 0s
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Sketch of a deterministic finite automaton (DFA) for the following regular language (type 3):$$ L ~=~ \{ w \in \{0,1\}^* ~:~ |w|_0\leq 2 \} $$

This is an infinite language with, for example, the following words \(w\):$$ L ~=~ \{\varepsilon, 0, 00, 001, 010, 110,~... \} $$

This automaton accepts all words \(w\) where the number \( |w|_0\) of zeros is two or less.