Question: If L is any regular language, let be the language in which the middle thirds of strings in L are removed: = { xz |

If L is any regular language, let If L is any regular language, let be the language in which be the language in which the middle thirds of strings in L are removed:

the middle thirds of strings in L are removed: = { xz = { xz | xyz in L and |x| = |y| = |z|, for some y}. Prove that if L is regular, | xyz in L and |x| = |y| = |z|, for some is not necessarily regular.

L2/3 L2/3

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