Mastering the Pumping Lemma to Identify Nonregular Languages πŸ”

Learn how to apply the pumping lemma to prove that certain languages are not regular. A step-by-step guide to understanding and using this essential tool in formal language theory.

Mastering the Pumping Lemma to Identify Nonregular Languages πŸ”
lydia
129.6K views β€’ Nov 5, 2020
Mastering the Pumping Lemma to Identify Nonregular Languages πŸ”

About this video

We know that all regular languages must satisfy the pumping lemma. This means we can use the pumping lemma to prove that a language is NOT regular by showing that it does NOT satisfy the pumping lemma.

This video provides a little more intuition for how such a proof works.

If you aren't yet familiar with what exactly the pumping lemma is, check this video out first: https://youtu.be/qtnNyUlO6vU

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Additional resources:

Michael Sipser. 2006. Introduction to the Theory of Computation (2nd. ed.). International Thomson Publishing.
- The main source of my Theory of Computation knowledge (a textbook). Read Chapter 1.4: Nonregular Languages to learn more about the pumping lemma and examples of the formal proofs.
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And as always, this video project could not have been done without the support and guidance of Audrey St. John at Mount Holyoke College, a truly incredible professor-mentor-human.

Video Information

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129.6K

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Duration

4:56

Published

Nov 5, 2020

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