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Home/ Questions/Q 4608152
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Editorial Team
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Editorial Team
Asked: May 22, 20262026-05-22T00:48:16+00:00 2026-05-22T00:48:16+00:00

I have a question regarding the conversion of regular expressions to non-deterministic finite state

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I have a question regarding the conversion of regular expressions to non-deterministic finite state automata:

Convert (a*|b*)* to NFA. My attempt is as follows:

enter image description here

Am I completely off the mark? Or somewhat there?

NB E => ε

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  1. Editorial Team
    Editorial Team
    2026-05-22T00:48:16+00:00Added an answer on May 22, 2026 at 12:48 am

    Your NFA matches the same language as (a*|b*)*, so the answer is correct.

    However, there are many NFAs that match the same language and in your case it would be possible to remove at least three epsilon arrows. Still, it will not be more correct than your suggestion.

    The regex (a*|b*)* can also be simplified, without changing the semantics. E.g. (a|b)* is equivalent to (a*|b*)*. And if you think about it, the FA can be as simple as this:

    Finite Automaton equivalent to (a|b)*

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