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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...
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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Community Answer
If we select a string w such that w∈L, and w=xyz. Which of the fo...

Explanation:

Given: w = xyz, where w ∈ L

Breakdown of w:
- Let w = xyz, where x, y, z are substrings of w.

Portions of w:
- x is the portion before y
- y is the portion in the middle
- z is the portion after y

Reasoning:

Option B (yc):
- The portion y cannot be empty because it is stated that y is a non-empty substring of w.
- Therefore, option B (yc) cannot be an empty string.

Therefore, the correct answer is option B (yc) as the portion y cannot be an empty string.
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