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Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
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Questions related to formal languages, grammars, and automata theory

3 votes

Grammar that numbers of letters `c` is greater than number of letters `b`

Your grammar never accepts a word since you can't make the $S$ disappear. If you want to create more $c$ than $b$ you just have to make sure that when you create a $b$ you create a $c$ with it (but …
wece's user avatar
  • 748
1 vote
Accepted

Is the following language context free?

$L$ is not context free. You can use the Ogden's lemma to show it. I'll use the Wikipedia notation linked above. For every $p$ take the word $a^pb^pc^p$. For a the marking where only c are marked wh …
wece's user avatar
  • 748
0 votes

How to convert NFA with null moves to NFA without null moves?

Simply put, you do exactly as you said. If $q_j$ does not contain any transition you don't have anything to do so you do nothing more than removing $q_j$ and updating $q_i$ as final if $q_j$ is final. …
wece's user avatar
  • 748
5 votes

Can this grammar be simplified?

Your grammar will generate: $S\rightarrow 0S12\rightarrow 00S1212\rightarrow 001212$ which is not in the required language.
wece's user avatar
  • 748