Context-Free Grammar (CFG) Example: Non-Palindromes

Here we create a context-free grammar (CFG) for the set of strings that do NOT represent palindromes over {0, 1}. The trick with this language is that we know when a string is not a palindrome, namely when the same position from "either end" of the string is different, for some position. For example, 0100 is not a palindrome because two characters from either end give 1 in one case, and 0 in the other. To finish a CFG, we make characters from either end that are the same until we must (at some point) encounter a "bad" pair. After that (in the "middle") there can be literally any character.
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[@christinemorataya]

good explanation!

[@yigitozcelepstudent2489]

You are the best teacher teaching Automate theory. you helped me a lot on my course. Thanks. Good job

[@loukmanedaoudi1579]

Nice explanation man.
Just a small question , what if we pick 0S0 | 1S1 wouldn't that be a palindrome ? because I think that our goal here is to make a CFG for non-palindroms only.