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P versus NP

Frank Vega


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<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>Frank Vega</dc:creator>
  <dc:date>2020-01-12</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? It was essentially mentioned in 1955 from a letter written by John Nash to the United States National Security Agency. However, 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. Another major complexity classes are L and NL. Whether L = NL is another fundamental question that it is as important as it is unresolved. We demonstrate if L is not equal to NL, then P = NP. In addition, we show if L is equal to NL, then P = NP. In this way, we prove the complexity class P is equal to NP. Furthermore, we demonstrate the complexity class NL is equal to NP.</dc:description>
  <dc:identifier>https://zenodo.org/record/3605338</dc:identifier>
  <dc:identifier>10.5281/zenodo.3605338</dc:identifier>
  <dc:identifier>oai:zenodo.org:3605338</dc:identifier>
  <dc:relation>doi:10.5281/zenodo.3355776</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>https://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
  <dc:subject>complexity classes</dc:subject>
  <dc:subject>completeness</dc:subject>
  <dc:subject>one-way</dc:subject>
  <dc:subject>reduction</dc:subject>
  <dc:subject>polynomial time</dc:subject>
  <dc:subject>logarithmic space</dc:subject>
  <dc:title>P versus NP</dc:title>
  <dc:type>info:eu-repo/semantics/preprint</dc:type>
  <dc:type>publication-preprint</dc:type>
</oai_dc:dc>
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