Practice Example Proof Of Non-regularity Using Pumping Lemma (2.9.4) - Deterministic Finite Automata (DFA) and Regular Languages
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Example Proof of Non-Regularity using Pumping Lemma

Practice - Example Proof of Non-Regularity using Pumping Lemma

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the Pumping Lemma?

💡 Hint: Think about string manipulation and automata.

Question 2 Easy

What defines a regular language?

💡 Hint: Remember the relationship between languages and machines.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Pumping Lemma provide evidence for?

True
False

💡 Hint: Think about the implications of the lemma.

Question 2

A string of length p can only be divided in how many ways per the Pumping Lemma?

Infinitely
At least one
None

💡 Hint: Clarify what 'at least' implies.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a language L defined as L = {0^n1^n | n ≥ 0}, devise a comprehensive proof using the Pumping Lemma to establish that L is non-regular.

💡 Hint: Make sure to explore various 'x' and 'y' values based on the Pumping Lemma.

Challenge 2 Hard

Consider another language L = { wwR | w ∈ {0,1}* }, showing it is non-regular using cases where you segment the string into x, y, and z.

💡 Hint: You’ll need to use the properties of the Pumping Lemma effectively.

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Reference links

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