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Questions related to formal languages, grammars, and automata theory

8 votes

Find a regular language that is "infinitely between" two other regular languages

Because regular languages are closed under complement and intersection, $L_2 - L_1$ is regular. Because it's also infinite, it contains words of arbitrarily large lengths. Therefore, by the pumping l …
Daniel Martin's user avatar
0 votes

Finding a regular expression for all non-empty binary strings that contain both 0s and 1s bu...

Starting from what you have, let's try to improve it. So you have $(0+10)^*(ε+1)$. That's a very good start, as it covers all binary strings with no consecutive 1s. I think of this as saying that a b …
Daniel Martin's user avatar
1 vote

Proving/Disproving that language L is non-regular/CFL

For regular languages, my go-to tool is the Myhill-Nerode theorem. Sometimes, for explicitly proving that a language is non-regular, I reach for the pumping lemma. So my first instincts would be to r …
Daniel Martin's user avatar