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Preprint Open Access

P vs NP

Frank Vega


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    "description": "<p>P versus NP is considered as one of the most important open problems in computer science. This consists in knowing the answer of the following question: Is P equal to NP? It is one of the seven Millennium Prize Problems selected by the Clay Mathematics Institute. This question was first mentioned in a letter written by John Nash to the National Security Agency in 1955. A precise statement of the P versus NP problem was introduced independently in 1971 by Stephen Cook and Leonid Levin. Since that date, all efforts to find a proof for this problem have failed. To attack the P versus NP question the concept of NP-completeness has been very useful. If any single NP-complete problem can be solved in polynomial time, then every NP problem has a polynomial time algorithm. MONOTONE 3SAT is a known NP-complete problem. We prove MONOTONE 3SAT is in P. In this way, we demonstrate the P versus NP problem.</p>", 
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    "title": "P vs NP", 
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    "keywords": [
      "Complexity Classes", 
      "Completeness", 
      "Polynomial Time", 
      "3SAT", 
      "Quadratic Residue"
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