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Questions about regular expressions, a formalism to describe regular languages.

2 votes
Accepted

A regular expression for a given formal language

Try and build it step by step: a language with an odd number of $a$'s: $a(aa)^*$; between which there is an even number of $b$'s: $b^*a((bb)^*a(bb)^*a)^*b^*$; and an arbitrary number of $x$'s: $(b+x …
jmad's user avatar
  • 9,548
28 votes

How to convert finite automata to regular expressions?

Transitive closure method This method is easy to write in a form of an algorithm, but generates absurdly large regular expressions and is impractical if you do it by hand, mostly because this is too …
jmad's user avatar
  • 9,548
34 votes

How to convert finite automata to regular expressions?

Brzozowski algebraic method This is the same method as the one described in Raphael's answer, but from a point of view of a systematic algorithm, and then, indeed, the algorithm. It turns out to be ea …
jmad's user avatar
  • 9,548
112 votes
Accepted

How to convert finite automata to regular expressions?

There are several methods to do the conversion from finite automata to regular expressions. Here I will describe the one usually taught in school which is very visual. I believe it is the most used in …
jmad's user avatar
  • 9,548