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Which among the following is not true for 2-way infinte TM?
- a)tape in both directions
- b)Leftmost square not distinguished
- c)Any computation that can be performed by 2-way infinite tape can also be performed by standard TM.
- d)None of the mentioned
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which among the following is not true for 2-way infinte TM?a)tape in b...
All of the mentioned are correct statements for a two way infinite tape turing machine. Theorems say the power of such a machine is in no way superior than a standard turing machine.
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Which among the following is not true for 2-way infinte TM?a)tape in b...
2-way Infinite Turing Machine
Tape in both directions:
In a 2-way infinite Turing Machine, the tape extends infinitely in both directions, allowing the machine to move left or right indefinitely. This feature gives the machine the ability to access an unbounded amount of memory.
Leftmost square not distinguished:
Unlike a standard Turing Machine where the leftmost square is used as a boundary, in a 2-way infinite Turing Machine, the leftmost square is not distinguished. This means that the machine can move beyond the initial starting point without any limitations.
Computational Equivalence:
Any computation that can be performed by a 2-way infinite Turing Machine can also be performed by a standard Turing Machine. This is due to the fact that a 2-way infinite Turing Machine is a more powerful variant of a standard Turing Machine, with the added ability to move in both directions.
Conclusion:
Therefore, the statement "None of the mentioned" is not true for 2-way infinite Turing Machines. The other statements accurately describe the key features and capabilities of a 2-way infinite Turing Machine, highlighting its advantages over a standard Turing Machine in terms of computational power and memory access.
Tape in both directions:
In a 2-way infinite Turing Machine, the tape extends infinitely in both directions, allowing the machine to move left or right indefinitely. This feature gives the machine the ability to access an unbounded amount of memory.
Leftmost square not distinguished:
Unlike a standard Turing Machine where the leftmost square is used as a boundary, in a 2-way infinite Turing Machine, the leftmost square is not distinguished. This means that the machine can move beyond the initial starting point without any limitations.
Computational Equivalence:
Any computation that can be performed by a 2-way infinite Turing Machine can also be performed by a standard Turing Machine. This is due to the fact that a 2-way infinite Turing Machine is a more powerful variant of a standard Turing Machine, with the added ability to move in both directions.
Conclusion:
Therefore, the statement "None of the mentioned" is not true for 2-way infinite Turing Machines. The other statements accurately describe the key features and capabilities of a 2-way infinite Turing Machine, highlighting its advantages over a standard Turing Machine in terms of computational power and memory access.
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Which among the following is not true for 2-way infinte TM?a)tape in both directionsb)Leftmost square not distinguishedc)Any computation that can be performed by 2-way infinite tape can also be performed by standard TM.d)None of the mentionedCorrect answer is option 'D'. Can you explain this answer?
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