Problem 1: The class co-NP = \{L | \overline{L} \in NP\}. Prove that if A is NP-complete then \overline{A} is complete for co-NP. (\overline{L} = \Sigma* - L).
Added by Michael T.
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To do this, we need to show that there exists a non-deterministic polynomial-time Turing machine M that accepts the complement of A, denoted as A'. Since A is NP-complete, there exists a polynomial-time reduction from any language L in NP to A. Let's denote this Show more…
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