Master the Closure Properties of Regular Languages with Clear Proofs 📚

Explore the five key closure properties of regular languages—union, intersection, complement, concatenation, and star—with detailed proofs and explanations to deepen your understanding.

Easy Theory‱44.4K views‱16:24

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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. Easy Theory Website: https://www.easytheory.org GoFundMe: https://www.gofundme.com/f/easy-theory-video-studio Patreon: https://www.patreon.com/EasyTheoryYT Fourthwall: https://easy-theory-llc-shop.fourthwall.com Problem Solving channel: ​⁠ @easytheoryprobsolve If you like this content, please consider subscribing to my channel: https://www.youtube.com/channel/UC3VY6RTXegnoSD_q446oBdg?sub_confirmation=1 ▶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)
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44.4K

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Apr 11, 2020

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