How to prove Satisfiability of boolean formulas is NP-complete

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Proving that the satisfiability of Boolean formulas is NP-complete involves demonstrating that it is in NP and that it can be reduced from another NP-complete problem. The Cook-Levin theorem is a foundational resource that outlines this proof process. Step-by-step explanations and examples are often sought by those struggling to understand the concept. Resources like Wikipedia provide a comprehensive overview of the theorem and its implications for NP-completeness. A thorough understanding of these principles is essential for anyone studying computational complexity.
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How to prove "Satisfiability of boolean formulas is NP-complete"

I can not figure out how to prove this. I have been trying to find something that explains it step by step, possibly even with an example. I can not find anything. Can somebody perhaps explain how you prove it or show me where I can find a thorough explanation ?
 
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XodoX said:
I can not figure out how to prove this. I have been trying to find something that explains it step by step, possibly even with an example. I can not find anything. Can somebody perhaps explain how you prove it or show me where I can find a thorough explanation ?

Maybe this is what you are looking for:

http://en.wikipedia.org/wiki/Cook–Levin_theorem
 
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