Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2019, Issue 4, Pages 108–116
DOI: https://doi.org/10.26456/vtpmk550
(Mi vtpmk550)
 

This article is cited in 7 scientific papers (total in 7 papers)

Theoretical Foundations of Computer Science

On algorithmic properties of finite subset algebra for some unoids

S. M. Dudakov

Tver State University, Tver
Full-text PDF (400 kB) Citations (7)
References:
Abstract: We consider unoids consisting of identical non-branching trees which are connected into an infinite line. We establish that the finite subset algebra admits effective quantifier elimination and it does not depend on the original algebra. So, we have an instance where the finite subset algebra theory is algorithmically simpler than the theory of the original one. Also it demonstrates that the union operation for finite subset algebras does matter for algorithmical properties.
Keywords: unoid, non-branching tree, subset algebra, quantifier elimination.
Received: 03.12.2019
Revised: 20.12.2019
Bibliographic databases:
Document Type: Article
UDC: 512.573, 519.17
Language: Russian
Citation: S. M. Dudakov, “On algorithmic properties of finite subset algebra for some unoids”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2019, no. 4, 108–116
Citation in format AMSBIB
\Bibitem{Dud19}
\by S.~M.~Dudakov
\paper On algorithmic properties of finite subset algebra for some unoids
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2019
\issue 4
\pages 108--116
\mathnet{http://mi.mathnet.ru/vtpmk550}
\crossref{https://doi.org/10.26456/vtpmk550}
\elib{https://elibrary.ru/item.asp?id=41803978}
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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