data/214.json
{
"definitions" : {
"P" : [ {
"Q846354" : "Computational complexity class of problems solvable by a deterministic Turing Machine in polynomial time."
} ],
"NP" : [ {
"Q628036" : "Computational complexity class of decision problems solvable by a non-deterministic Turing machine in polynomial time."
} ]
},
"constraints" : [ ],
"math_inputtex" : "P=NP",
"math_inputtex_semantic" : "\\w{Q846354}{P} = \\w{Q846354}{\\operatorname{NP}}",
"correct_tex" : "P=NP",
"correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"P=\\operatorname{NP}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">P</mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=</mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">NP</mi>\n </mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Q846354</csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">Q846354</csymbol>\n </apply>\n </annotation-xml>\n <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">P=\\operatorname{NP}</annotation>\n </semantics>\n</math>",
"uri" : "https://arxiv.org/abs/math/0007025",
"title" : "P-NP-Problem",
"comment" : "",
"type" : "relation",
"ntcir12-type" : "14",
"formula" : "1_12.16",
"page" : "2",
"ntcir12-relevance" : "4"
}