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

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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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Introduction to the theory of computation

ISBN: 978-0470530658

3rd edition

Authors: Michael Sipser

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Question Posted: Sep 02, 2020 04:12 AM

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

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Introduction to the theory of computation

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