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Algebra i logika, 2021, Volume 60, Number 6, Pages 575–586
DOI: https://doi.org/10.33048/alglog.2021.60.605 (Mi al2688) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Complexity of the problem of being equivalent to Horn formulas

N. T. Kogabaev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (359 kB) Citations (2)
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DOI: https://doi.org/10.33048/alglog.2021.60.605
Abstract: We look at the complexity of the existence problem for a Horn sentence (identity, quasi-identity, $\forall$-sentence, $\exists$-sentence) equivalent to a given one. It is proved that if the signature contains at least one symbol of arity $k\geqslant 2$, then each of the problems mentioned is an $m$-complete $\Sigma^0_1$ set.
Keywords: Horn formula, $m$-reducibility, $\Sigma^0_1$ set.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0002
Russian Foundation for Basic Research 20-01-00300
Received: 23.10.2020
Revised: 08.04.2022
English version:
Algebra and Logic, 2021, Volume 60, Issue 6, Pages 380–388
DOI: https://doi.org/10.1007/s10469-022-09665-z
Document Type: Article
UDC: 510.53
Language: Russian
Citation: N. T. Kogabaev, “Complexity of the problem of being equivalent to Horn formulas”, Algebra Logika, 60:6 (2021), 575–586; Algebra and Logic, 60:6 (2021), 380–388
Citation in format AMSBIB
\Bibitem{Kog21}
\by N.~T.~Kogabaev
\paper Complexity of the problem of being equivalent to Horn formulas
\jour Algebra Logika
\yr 2021
\vol 60
\issue 6
\pages 575--586
\mathnet{http://mi.mathnet.ru/al2688}
\transl
\jour Algebra and Logic
\yr 2021
\vol 60
\issue 6
\pages 380--388
\crossref{https://doi.org/10.1007/s10469-022-09665-z}
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  • https://www.mathnet.ru/eng/al/v60/i6/p575
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    		Алгебра и логика Algebra and Logic
     
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