Preprint Open Access
Frank Vega
{ "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>", "license": "https://creativecommons.org/licenses/by/4.0/legalcode", "creator": [ { "affiliation": "Joysonic", "@type": "Person", "name": "Frank Vega" } ], "headline": "P vs NP", "image": "https://zenodo.org/static/img/logos/zenodo-gradient-round.svg", "datePublished": "2018-06-08", "url": "https://zenodo.org/record/1285952", "keywords": [ "Complexity Classes", "Completeness", "Polynomial Time", "3SAT", "Quadratic Residue" ], "@context": "https://schema.org/", "identifier": "https://doi.org/10.5281/zenodo.1285952", "@id": "https://doi.org/10.5281/zenodo.1285952", "@type": "ScholarlyArticle", "name": "P vs NP" }
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