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Theory of Computation Lecture 09 Quiz
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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?

    <p>Push and pop</p> Signup and view all the answers

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

    <p>The top of the stack</p> Signup and view all the answers

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

    <p>Remembering an infinite amount of information with a stack</p> Signup and view all the answers

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

    <p>PDA can remember an infinite amount of information</p> Signup and view all the answers

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

    <p>Stack with infinite size</p> Signup and view all the answers

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

    <p>Reads and removes the top symbol</p> Signup and view all the answers

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

    <p>Top of the stack</p> Signup and view all the answers

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

    <p>To remove redundant productions and make the grammar more efficient</p> Signup and view all the answers

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

    <p>To remove all redundant productions while keeping the transformed grammar equivalent to the original grammar</p> Signup and view all the answers

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

    <p>Redundant productions are allowed in the grammar</p> Signup and view all the answers

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

    <p>Reduction of CFG</p> Signup and view all the answers

    What does simplification of CFGs allow us to remove?

    <p>Unit productions and null productions, which are redundant</p> Signup and view all the answers

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