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], 2017, Issue 4, Pages 25–33
DOI: https://doi.org/10.26456/vtpmk186 (Mi vtpmk186) 		 
Theoretical Foundations of Computer Science

On expressive power of monadic transitive close logic over discrete order

S. M. Dudakov

Tver State University, Tver
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DOI: https://doi.org/10.26456/vtpmk186
Abstract: We establish that the monadic transitive close operator over linear discrete order allows to express addition, multiplication and exponential function up to $H_2(n)$. Here $n$ is formulas length and $H_2(n)$ is the hyperexponential function.
Keywords: transitive close logic, linerar discrete order, expressive power.
Received: 12.09.2017
Revised: 05.12.2017
Bibliographic databases:
Document Type: Article
UDC: 510.675, 510.531
Language: Russian
Citation: S. M. Dudakov, “On expressive power of monadic transitive close logic over discrete order”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 4, 25–33
Citation in format AMSBIB
\Bibitem{Dud17}
\by S.~M.~Dudakov
\paper On expressive power of monadic transitive close logic over discrete order
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2017
\issue 4
\pages 25--33
\mathnet{http://mi.mathnet.ru/vtpmk186}
\crossref{https://doi.org/10.26456/vtpmk186}
\elib{https://elibrary.ru/item.asp?id=30785127}
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