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If we select a string w such that w∈L, and w=xyz. Which of the following portions cannot be an empty string?
  • a)
    x
  • b)
    y
  • c)
    z
  • d)
    all of the mentioned
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If we select a string w such that w∈L, and w=xyz. Which of the fo...
Explanation:

Given Information:
- Let w be a string in language L, where w = xyz.

Portions of the String:
- x, y, z are portions of the string w.
- We need to determine which portion cannot be an empty string.

Analysis:
- If we consider the string w = xyz, any portion x, y, or z can be an empty string except for y.
- If y is an empty string, then w = xz which contradicts the given information that w = xyz.
- Therefore, y cannot be an empty string.

Conclusion:
- The portion y cannot be an empty string in the string w = xyz.
Therefore, the correct answer is option B. y.
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Community Answer
If we select a string w such that w∈L, and w=xyz. Which of the fo...
The lemma says, the portion y in xyz cannot be zero or empty i.e. |y|>0, this condition needs to be fulfilled to check the conclusion condition.
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