Show that the class P, viewed as a set of languages, is closed under union, intersection, concatenation,

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Show that the class P, viewed as a set of languages, is closed under union, intersection, concatenation, complement, and Kleene star. That is, if L1, L2 ∈ P, then L1 ⋃ L2 ∈ P, L1 ⋂ L2 ∈ P, L1L2 ∈ P, L̅1 ∈ P, and L*1 ∈ P.

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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