Question: (20 MARKS) For languages A and B, define the interleave of A and B to be the language {w l w = a1b1 ... Akbk

(20 MARKS) For languages A and B, define the interleave of A and B to be the language {w l w = a1b1 ... Akbk where al ... Ak A, b1 ... bk E B, and ai, b 2,1 Sisk} Give a construction that shows that the regular languages are closed under the interleave operation. (20 MARKS) For languages A and B, define the interleave of A and B to be the language {w l w = a1b1 ... Akbk where al ... Ak A, b1 ... bk E B, and ai, b 2,1 Sisk} Give a construction that shows that the regular languages are closed under the interleave operation
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