How a RegEx engine works

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In learning Regular Expressions it had me wondering how the underlying engine works. Probably more specifically, I'd like to know more about how it evalutates, prioritizies and parses the expression. I feel the RegEx engine is a blackbox to me, and I would really enjoy deciphering it.

So I'd like to ask if there are some great resources that I could read up on that discuss RegEx engine theory.

*Note: I am not interested in building an engine, just learning the inner workings of it.

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