How to Solve Using Pumping Lemma|Palindrome Example|Theory of Computation |Part 2 | TOC | Lecture 46
In this lecture, we continue our discussion on the Pumping Lemma for Regular Languages by applying it to prove that the language of palindromes is not regular.
🔹 What You’ll Learn:
✅ Recap of Pumping Lemma:
🔸 Understanding how the Pumping Lemma theorem is used to prove non-regularity.
✅ Step-by-Step Proof for Palindromes Using Pumping Lemma:
🔸 Example: Proving that the language of palindromes is not regular.
🔸 Step 1: Assume the language L = {w | w is a palindrome} is regular.
🔸 Step 2: Choose a long enough string w that is a palindrome.
🔸 Step 3: Apply the Pumping Lemma condition w = xyz.
🔸 Step 4: Show that pumping the substring y leads to a non-palindromic string, contradicting the assumption.
✅ Final Conclusion:
🔸 Why palindromes cannot be recognized by a DFA or Regular Expression.
🔸 Encouragement to watch the next lecture for more non-regular language proofs.
This video is essential for students studying Theory of Computation (TOC), Automata Theory, and Formal Languages.
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