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Select all that is true of the following CFG and the corresponding PDA:Group of answer choicesAt the end there is a non terminal symbol on the stack when the machine haltsThe machine has 6 stacks of memoryThe tape only contains terminal symbolsThe CFG grammar uses 1 more non terminal symbol than the PDAThe grammar generates the string "Alice ran"

Question

Select all that is true of the following CFG and the corresponding PDA:Group of answer choicesAt the end there is a non terminal symbol on the stack when the machine haltsThe machine has 6 stacks of memoryThe tape only contains terminal symbolsThe CFG grammar uses 1 more non terminal symbol than the PDAThe grammar generates the string "Alice ran"

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Solution

To answer the question, we will go through each statement one by one:

  1. At the end, there is a non-terminal symbol on the stack when the machine halts.

    • This statement is not true. In a PDA, the stack should be empty at the end of the computation.
  2. The machine has 6 stacks of memory.

    • This statement is not true. A PDA typically has only one stack.
  3. The tape only contains terminal symbols.

    • This statement is true. In a PDA, the tape contains the input symbols, which are usually terminal symbols.
  4. The CFG grammar uses 1 more non-terminal symbol than the PDA.

    • This statement is not true. The number of non-terminal symbols in a CFG and the number of states in a PDA can be different and not necessarily related.
  5. The grammar generates the string "Alice ran".

    • This statement is not provided in the given information, so we cannot determine its truth value.

In summary, the true statements are:

  • The tape only contains terminal symbols.

This problem has been solved

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