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Theory of Computation Lecture 09 Quiz

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Questions and Answers

What is the main purpose of a pushdown automaton (PDA)?

To remember a finite amount of information
To recognize regular languages
To implement a context-free grammar (correct)
To implement a regular grammar

What distinguishes a PDA from a DFA?

A PDA only has an input tape
A PDA has a finite control unit
A PDA can remember an infinite amount of information with a stack (correct)
A PDA recognizes regular languages

Which component is essential for a pushdown automaton?

A stack with infinite size (correct)
An output string
A finite control unit
An input tape

What operation does the stack perform in a pushdown automaton?

Push and pop (D) Signup and view all the answers

What does a pushdown automaton have to read in every transition?

The top of the stack (B) Signup and view all the answers

What is the key function of a pushdown automaton (PDA)?

Remembering an infinite amount of information with a stack (B) Signup and view all the answers

What distinguishes a pushdown automaton (PDA) from a deterministic finite automaton (DFA)?

PDA can remember an infinite amount of information (D) Signup and view all the answers

Which component is essential for a pushdown automaton (PDA) to recognize Context Free Languages?

Stack with infinite size (D) Signup and view all the answers

What does the stack in a pushdown automaton (PDA) do when it performs the 'Pop' operation?

Reads and removes the top symbol (B) Signup and view all the answers

In every transition, what does a pushdown automaton (PDA) have to read?

Top of the stack (A) Signup and view all the answers

Why is it necessary to simplify context-free grammars (CFGs)?

To remove redundant productions and make the grammar more efficient (A) Signup and view all the answers

What is the main purpose of simplification of context-free grammars (CFGs)?

To remove all redundant productions while keeping the transformed grammar equivalent to the original grammar (A) Signup and view all the answers

What happens if the definition of context-free grammars (CFGs) does not restrict us from making redundant productions?

Redundant productions are allowed in the grammar (D) Signup and view all the answers

Which step is important in simplifying context-free grammars (CFGs)?

Reduction of CFG (C) Signup and view all the answers

What does simplification of CFGs allow us to remove?

Unit productions and null productions, which are redundant (A) Signup and view all the answers

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