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Algebra i logika, 2022, Volume 61, Number 4, Pages 469–482
DOI: https://doi.org/10.33048/alglog.2022.61.406 (Mi al2723) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Complexity of the problem of being equivalent to Horn formulas. II

N. T. Kogabaev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/alglog.2022.61.406
Abstract: We calculate the complexity of the existence problem for a Horn sentence equivalent to a given one. It is proved that for a signature consisting of one unary function symbol and any finite number of unary predicate symbols, the problem is computable. For a signature with at least two unary function symbols, it is stated that the problem 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 FWNF-2022-0011
Russian Foundation for Basic Research 20-01-00300
Received: 16.02.2022
Revised: 29.03.2023
Document Type: Article
UDC: 510.53
Language: Russian
Citation: N. T. Kogabaev, “Complexity of the problem of being equivalent to Horn formulas. II”, Algebra Logika, 61:4 (2022), 469–482
Citation in format AMSBIB
\Bibitem{Kog22}
\by N.~T.~Kogabaev
\paper Complexity of the problem of being equivalent to Horn formulas.~II
\jour Algebra Logika
\yr 2022
\vol 61
\issue 4
\pages 469--482
\mathnet{http://mi.mathnet.ru/al2723}
\crossref{https://doi.org/10.33048/alglog.2022.61.406}
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    		Алгебра и логика Algebra and Logic
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