NFA to Regular Expression Conversion, and Example

Here we convert a simple NFA into a regular expression as easily as possible. We first modify the NFA so that there is a single start state with nothing goin...

Easy Theory143.7K views14:46

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Here we convert a simple NFA into a regular expression as easily as possible. We first modify the NFA so that there is a single start state with nothing going into it, and a single final state with nothing leaving it. Then we "rip" states out one at a time until we have just two states left, which contains the desired regular expression. This is known as the "GNFA" (Generalized NFA) method. What is a nondeterministic finite automaton (NFA)? It is a finite state machine, with "states" and transitions between them, allowing choices as compared to a deterministic FA. See https://www.youtube.com/watch?v=P5iWwYtwlwg&ab_channel=EasyTheory for more details. 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 Timestamps: 0:00 - Intro 0:39 - Overview of Steps 1:17 - Fix the NFA 2:10 - Start of Ripping States 2:39 - Rip q3 6:30 - Rip q2 9:10 - Rip q0 11:25 - Rip q1 13:05 - Conclusion Easy Theory website: https://www.easytheory.org If you like this content, please consider subscribing to my channel: https://www.youtube.com/channel/UC3VY6RTXegnoSD_q446oBdg?sub_confirmation=1 ▶ADDITIONAL QUESTIONS◀ 1. Does the GNFA method truly work for ANY NFA? 2. What happens if we ripped the states out in a different order?

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Mar 9, 2020

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