Question: ( 1 5 points ) Let A and B be regular languages. We define the following operation PSHUFFLE. PSHUFFLE ( A , B ) =

(15 points) Let A and B be regular languages. We define the following operation
PSHUFFLE.
PSHUFFLE(A,B)={w|w=a1b1dotsakbk, where a1dotsakinA and b1dotsbkinB,
each {:ai,biin}.
Show that the class of regular languages is closed under PSHUFFLE. You will need
to write out a proof. Hint, use a proof by construction technique.
(15 points) Let A and B be regular languages. We define

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