Practice Formal Definition (6.1.1) - Pushdown Automata (PDA) and Non-Context-Free Languages
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Formal Definition

Practice - Formal Definition

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does PDA stand for?

💡 Hint: What is the first part of the term describing this automaton?

Question 2 Easy

How many components are in the 7-tuple that defines a PDA?

💡 Hint: Count the elements in the defined tuple.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the acronym PDA stand for?

Perfectly Deterministic Automaton
Pushdown Automaton
Partial Deterministic Automaton

💡 Hint: Focus on the purpose of the automaton.

Question 2

True or False: PDAs can only accept strings by reaching a final state.

True
False

💡 Hint: Consider the two methods of acceptance for a PDA.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a PDA that accepts the language of strings of the form a^n b^n for n >= 0 and define its components.

💡 Hint: Think about how you balance counts of 'a's and 'b's.

Challenge 2 Hard

Show that the language L = { a^n b^m c^n | n,m >= 0 } is beyond the capabilities of a PDA.

💡 Hint: Consider how a PDA’s stack would behave with different symbols.

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