There is a newer version of this record available.

Preprint Open Access

UP versus NP

Frank


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</dc:creator>
  <dc:date>2018-09-16</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 in 1971 by Stephen Cook and Leonid Levin . Since that date, all efforts to find a proof for this problem have failed. Another major complexity class is UP. Whether UP=NP is another fundamental question that it is as important as it is unresolved. To attack the UP=NP question the concept of NP-completeness is very useful. If any single NP-complete problem is in UP, then UP=NP. Quadratic Congruences is a well-known NP-complete problem. We prove Quadratic Congruences is also in UP. In this way, we demonstrate that UP=NP.</dc:description>
  <dc:identifier>https://zenodo.org/record/1419750</dc:identifier>
  <dc:identifier>10.5281/zenodo.1419750</dc:identifier>
  <dc:identifier>oai:zenodo.org:1419750</dc:identifier>
  <dc:relation>doi:10.5281/zenodo.1419749</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>P</dc:subject>
  <dc:subject>NP</dc:subject>
  <dc:subject>UP</dc:subject>
  <dc:subject>NP-conplete</dc:subject>
  <dc:subject>Quadratic Congruences</dc:subject>
  <dc:title>UP versus NP</dc:title>
  <dc:type>info:eu-repo/semantics/preprint</dc:type>
  <dc:type>publication-preprint</dc:type>
</oai_dc:dc>
73
51
views
downloads
All versions This version
Views 7324
Downloads 5120
Data volume 8.8 MB1.7 MB
Unique views 4623
Unique downloads 3617

Share

Cite as