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Editorial Team
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Asked: 2026-05-27T11:05:16+00:00

There are three different solutions to implement regular expression matching: DFA, NFA and Backtracking.

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There are three different solutions to implement regular expression matching: DFA, NFA and Backtracking. I am looking for examples:

  • a regexp, which can be solved with a DFA and the reason, why a DFA is sufficient.
  • a regexp, which requires a NFA and the reason why a NFA is necessary.
  • a regexp, which requires backtracking and the reason why backtracking is necessary.

A recommendation for some good literature about this topic would be nice, too.

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1 Answer

  1. Editorial Team

    What I found out so far is:

    • Every regular expression, which can be implemented with a NFA, can also be implemented with a DFA. Every NFA can be transformed into a DFA.

    • Regular expressions, which require backtracking, are regular expressions, which contain back references like /(a)\1/.

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