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2 0 points In the videos and the text, you saw that regular languages are closed under the union operation i . e . ,
points In the videos and the text, you saw that regular languages
are closed under the union operation ie if L and L are both
regular, then Lcup L is regular. There were proofs. In both proofs,
we built a machine from DFAs M and M where LM L and
LM L The first proof constructed a new DFA and the second
constructed and NFA. Recall that if and only if proofs have parts
the if part and the only if part.
Describe how to modify the DFA construction to prove that regular
languages are closed under intersection. Argue that your modified con
struction is correct. Specifically, prove that w in Lcap L if and only if
w is accepted by your constructed DFA
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