a. Let A be an innite regular language. Prove that A can

Chapter , Problem 1.63

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a. Let A be an innite regular language. Prove that A can be split into two innite disjoint regular subsets. b. Let B and D be two languages. Write B b D if B D and D contains innitely many strings that are not in B. Show that if B and D are two regular languages where B b D, then we can nd a regular language C where B b C b D.

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