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The P versus NP Problem

Frank Vega


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  <dc:creator>Frank Vega</dc:creator>
  <dc:date>2019-06-02</dc:date>
  <dc:description>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? A precise statement of the P versus NP problem was introduced independently 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 problem, the NP-completeness is a useful tool. We prove the known NP-complete problem MONOTONE 1-IN-3 3SAT can be polynomially reduced to the polynomial language 2SET PACKING. In this way, MONOTONE 1-IN-3 3SAT must be in P. If any NP-complete problem can be solved in polynomial time, then every language in NP has a polynomial time algorithm. Hence, we demonstrate the complexity class P is equal to NP.</dc:description>
  <dc:identifier>https://zenodo.org/record/3239377</dc:identifier>
  <dc:identifier>10.5281/zenodo.3239377</dc:identifier>
  <dc:identifier>oai:zenodo.org:3239377</dc:identifier>
  <dc:relation>doi:10.5281/zenodo.3237140</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
  <dc:subject>Complexity Classes</dc:subject>
  <dc:subject>Completeness</dc:subject>
  <dc:subject>Polynomial Time</dc:subject>
  <dc:subject>MONOTONE 1-IN-3 3SAT</dc:subject>
  <dc:subject>2SET PACKING</dc:subject>
  <dc:title>The P versus NP Problem</dc:title>
  <dc:type>info:eu-repo/semantics/preprint</dc:type>
  <dc:type>publication-preprint</dc:type>
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