There is a newer version of this record available.

Preprint Open Access

On P versus NP

Frank Vega


Dublin Core Export

<?xml version='1.0' encoding='utf-8'?>
<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>2019-03-15</dc:date>
  <dc:description>P versus NP is considered as one of the great open problems of science. This consists in knowing the answer of the following question: Is P equal to NP? This problem was first mentioned in a letter written by John Nash to the National Security Agency in 1955. 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 huge problem have failed. Another major complexity class is coNP. Whether NP = coNP is another fundamental question that it is as important as it is unresolved. To attack the P versus NP problem, the concept of coNP-completeness is very useful. We prove there is a problem in coNP-complete that is not in P. In this way, we show that P is not equal to coNP. Since P = NP implies P = coNP, then we also demonstrate that P is not equal to NP.</dc:description>
  <dc:description>Archived previous version in https://hal.archives-ouvertes.fr/hal-01509423</dc:description>
  <dc:identifier>https://zenodo.org/record/2594093</dc:identifier>
  <dc:identifier>10.5281/zenodo.2594093</dc:identifier>
  <dc:identifier>oai:zenodo.org:2594093</dc:identifier>
  <dc:relation>doi:10.5281/zenodo.2588891</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>P</dc:subject>
  <dc:subject>NP</dc:subject>
  <dc:subject>coNP</dc:subject>
  <dc:subject>coNP-complete</dc:subject>
  <dc:subject>Minimum</dc:subject>
  <dc:subject>Boolean circuit</dc:subject>
  <dc:title>On P versus NP</dc:title>
  <dc:type>info:eu-repo/semantics/preprint</dc:type>
  <dc:type>publication-preprint</dc:type>
</oai_dc:dc>
1,004
515
views
downloads
All versions This version
Views 1,00456
Downloads 51523
Data volume 97.6 MB4.6 MB
Unique views 82349
Unique downloads 41121

Share

Cite as