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Journal of Siberian Federal University. Mathematics & Physics, 2021, Volume 14, Issue 2, Pages 258–260
DOI: https://doi.org/10.17516/1997-1397-2021-14-2-258-260 (Mi jsfu911) 		 
A short essay towards if $P$ not equal $NP$

Vladimir V. Rybakovab

a Siberian Federal University, Krasnoyarsk, Russian Federation
b A. P. Ershov Institute of Informatics Systems, Novosibirsk, Russian Federation
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DOI: https://doi.org/10.17516/1997-1397-2021-14-2-258-260
Abstract: We find a computational algorithmic task and prove that it is solvable in polynomial time by a non-deterministic Turing machine and cannot be solved in polynomial time by any deterministic Turing machine. The point is that our task does not look as very canonical one and if it may be classified as computational problem in standard terms.
Keywords: deterministic computations, non-deterministic computations.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1534/1
National Research University Higher School of Economics
This research is supported by High Schools of Economics (HSE) Moscow; supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation (Grant No. 075-02-2020-1534/1).
Received: 10.12.2020
Received in revised form: 10.01.2021
Accepted: 12.02.2020
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: English
Citation: Vladimir V. Rybakov, “A short essay towards if $P$ not equal $NP$”, J. Sib. Fed. Univ. Math. Phys., 14:2 (2021), 258–260
Citation in format AMSBIB
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\by Vladimir~V.~Rybakov
\paper A short essay towards if $P$ not equal $NP$
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2021
\vol 14
\issue 2
\pages 258--260
\mathnet{http://mi.mathnet.ru/jsfu911}
\crossref{https://doi.org/10.17516/1997-1397-2021-14-2-258-260}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000639618500014}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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