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P vs NP

Frank Vega

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  "publisher": "Zenodo", 
  "DOI": "10.5281/zenodo.1285952", 
  "author": [
      "family": "Frank Vega"
  "issued": {
    "date-parts": [
  "abstract": "<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>", 
  "title": "P vs NP", 
  "type": "article", 
  "id": "1285952"
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