Master the Closure Properties of Regular Languages with Clear Proofs 📚

Here we prove five closure properties of regular languages, namely union, intersection, complement, concatenation, and star. We utilize results such as NFAs = DFAs, and give proofs for *why* all of these properties are closed for regular languages.

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▶ADDITIONAL QUESTIONS◀
1. What about for context-free languages?
2. What about symmetric difference? (Set of strings that are in one of the two languages but not both)
3. What about majority of three languages A, B, C? (i.e., A, B, C are all regular and I want all strings that are in at least two of A, B, C)