Lecture 14: P and NP, SAT, Poly-Time Reducibility | Theory of Computation | Mathematics | MIT OpenCourseWare
Lecture 14: P and NP, SAT, Poly-Time Reducibility | Theory of Com…
Apr 2, 2022
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Let A ⊆1^* be any unary language. Show that if A is NP-complete, then P=NP. (Hint: Consider a polynomial time reduction f from S A T to A. For a formula ϕ, let ϕ0100 be the reduced formula where variables x1, x2, x3, and x4 in ϕare set to the values 0,1,0, and 0 , respectively. What happens when you apply f to all of these exponentially many reduced formulas?) | Numerade
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