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Questions about the theory of regular expressions, both in the sense of Kleene's original definition and of POSIX regular expressions.

7 votes

Regular expressions without union but with backreferences

If you are allowed to use complementation to express $\Sigma^*$ as $\emptyset^{C}$, the resulting language class includes the pattern languages (see, e.g., this survey by Kai Salomaa). As shown by An …
Dominik D. Freydenberger's user avatar
7 votes

Is it possible to represent a regular expression with bounded captures using a DFA and O(1) ...

I have no direct answer, but some additional remarks regarding on the topicality of my paper from this year's STACS which Raphael mentioned in his answer. (Due to space reasons, I opted for a new ans …
Dominik D. Freydenberger's user avatar
19 votes

Regular expressions aren't

These expressions have been examined by Aho (Handbook of Theoretical Computer Science, Vol. A, Chp. 5) and Campeanu, Salomaa, Yu ("A formal study of practical regular expressions", International Journ …
Dominik D. Freydenberger's user avatar