Conversion of NFA to Regex PROOF (GNFA Method)

Published: 06 August 2020
on channel: Easy Theory

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Here we show how to convert any NFA into an equivalent regex, called the "GNFA Method". This idea "rips" states out of an NFA until we get down to a two-state "NFA" with a single regex on the only transition (from the single start state to the single final state). An NFA cannot have a regex on the transition, so we define a "generalized" NFA (GNFA) which does allow them. Then the ripping states part becomes easy, as explained in the video.

#easytheory #nfa #dfa #gate #gateconcept #theoryofcomputing #turingmachine #nfatoregex #cfg #pda #undecidable #ricestheorem

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▶ADDITIONAL QUESTIONS◀
1. Can we add the "empty set" transitions involving the start and final state?
2. Is there a way to rip states while maintaining the original final states as being final?

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▶ABOUT ME◀
I am a professor of Computer Science, and am passionate about CS theory. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.

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