Question: a. Let A be an infinite regular language. Prove that A can be split into two infinite disjoint regular subsets. b. Let B and D

a. Let A be an infinite regular language. Prove that A can be split into two infinite disjoint regular subsets.

b. Let B and D be two languages. Write B ⋐ D if B ⊆ D and D contains infinitely many strings that are not in B. Show that if B and D are two regular languages where B b D, then we can find a regular language C where B ⋐ C ⋐ D.

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