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UP versus NP

Frank Vega


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{
  "description": "<pre>UP versus NP\n\nP 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.</pre>", 
  "license": "https://creativecommons.org/licenses/by/4.0/legalcode", 
  "creator": [
    {
      "affiliation": "Joysonic", 
      "@id": "https://orcid.org/0000-0001-8210-4126", 
      "@type": "Person", 
      "name": "Frank Vega"
    }
  ], 
  "headline": "UP versus NP", 
  "image": "https://zenodo.org/static/img/logos/zenodo-gradient-round.svg", 
  "datePublished": "2018-09-23", 
  "url": "https://zenodo.org/record/1433419", 
  "keywords": [
    "Polynomial Time", 
    "UP", 
    "NP", 
    "Quadratic Congruences", 
    "NP-complete"
  ], 
  "@context": "https://schema.org/", 
  "identifier": "https://doi.org/10.5281/zenodo.1433419", 
  "@id": "https://doi.org/10.5281/zenodo.1433419", 
  "@type": "ScholarlyArticle", 
  "name": "UP versus NP"
}
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