Preprint Open Access
Frank Vega
<?xml version='1.0' encoding='UTF-8'?> <record xmlns="http://www.loc.gov/MARC21/slim"> <leader>00000nam##2200000uu#4500</leader> <datafield tag="653" ind1=" " ind2=" "> <subfield code="a">Complexity Classes</subfield> </datafield> <datafield tag="653" ind1=" " ind2=" "> <subfield code="a">Completeness</subfield> </datafield> <datafield tag="653" ind1=" " ind2=" "> <subfield code="a">Polynomial Time</subfield> </datafield> <datafield tag="653" ind1=" " ind2=" "> <subfield code="a">3SAT</subfield> </datafield> <datafield tag="653" ind1=" " ind2=" "> <subfield code="a">Quadratic Residue</subfield> </datafield> <controlfield tag="005">20200120173213.0</controlfield> <controlfield tag="001">1286204</controlfield> <datafield tag="856" ind1="4" ind2=" "> <subfield code="s">398444</subfield> <subfield code="z">md5:d2f5e22b457ce38110f7cd74307c9f82</subfield> <subfield code="u">https://zenodo.org/record/1286204/files/paper.pdf</subfield> </datafield> <datafield tag="542" ind1=" " ind2=" "> <subfield code="l">open</subfield> </datafield> <datafield tag="260" ind1=" " ind2=" "> <subfield code="c">2018-06-08</subfield> </datafield> <datafield tag="909" ind1="C" ind2="O"> <subfield code="p">openaire</subfield> <subfield code="o">oai:zenodo.org:1286204</subfield> </datafield> <datafield tag="100" ind1=" " ind2=" "> <subfield code="u">Joysonic</subfield> <subfield code="a">Frank Vega</subfield> </datafield> <datafield tag="245" ind1=" " ind2=" "> <subfield code="a">P vs NP</subfield> </datafield> <datafield tag="540" ind1=" " ind2=" "> <subfield code="u">https://creativecommons.org/licenses/by/4.0/legalcode</subfield> <subfield code="a">Creative Commons Attribution 4.0 International</subfield> </datafield> <datafield tag="650" ind1="1" ind2="7"> <subfield code="a">cc-by</subfield> <subfield code="2">opendefinition.org</subfield> </datafield> <datafield tag="520" ind1=" " ind2=" "> <subfield code="a"><p>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 is one of the seven Millennium Prize Problems selected by the Clay Mathematics Institute. This question was first mentioned in a letter written by John Nash to the National Security Agency in 1955. 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. To attack the P versus NP question the concept of NP-completeness has been very useful. If any single NP-complete problem can be solved in polynomial time, then every NP problem has a polynomial time algorithm. MONOTONE 3SAT is a known NP-complete problem. We prove MONOTONE 3SAT is in P. In this way, we demonstrate the P versus NP problem.</p></subfield> </datafield> <datafield tag="773" ind1=" " ind2=" "> <subfield code="n">doi</subfield> <subfield code="i">isVersionOf</subfield> <subfield code="a">10.5281/zenodo.1285951</subfield> </datafield> <datafield tag="024" ind1=" " ind2=" "> <subfield code="a">10.5281/zenodo.1286204</subfield> <subfield code="2">doi</subfield> </datafield> <datafield tag="980" ind1=" " ind2=" "> <subfield code="a">publication</subfield> <subfield code="b">preprint</subfield> </datafield> </record>
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