Computer Science · Theory of Computation
Let L be any language. Define language chop(L) by removing the two leftmost symbols of every string in L given by chop(L) = {w | vw ∈ L with |v| = 2}. We define another language even(w) as the strings obtained by extracting from w the letters in the even-numbered positions, and even(L) = {even(w) | w ∈ L}. If L is a regular language, then which of the following is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Both even(L) and chop(L) are not regular
- 2Both even(L) and chop(L) are regular✓
- 3even(L) is not regular and chop(L) is regular
- 4even(L) is regular and chop(L) is not regular
Correct answer
Both even(L) and chop(L) are regular
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