Question: For any language A , let Ahalf be the set of first halves of even length strings in A:Ahalf = { x | for some

For any language A, let Ahalf be the set of first halves of even length strings in A:Ahalf ={ x | for some y |x|=|y| and xy A }Show that regular languages are closed under this half operation: Ahalf is regular if A is regular.

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