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], 2016, Issue 4, Pages 5–19
DOI: https://doi.org/10.26456/vtpmk25
(Mi vtpmk25)
 

This article is cited in 1 scientific paper (total in 1 paper)

Theoretical Foundations of Computer Science

Modeling arithmetic in the first-order language enriched with temporal quantifiers

E. A. Kotikovaa, M. N. Rybakovabc

a Tver State University
b CJSC Scientific Research Institute Centerprogramsystem
c University of the Witwatersrand, Johannesburg
Full-text PDF (411 kB) Citations (1)
References:
Abstract: We investigate the classical first-order language with equality enriched by the modalities of the computational tree logic $\bf CTL^\ast$. As a semantics for it we consider serial Kripke frames with constant domains. We construct an embedding of the truth arithmetics into the set of all formulas that are valid in the class of such frames. Then, we obtain some corollaries concerned algorithmical, syntactical, and semantical properties for a large class of logic in the language.
Keywords: first-order logic, computational tree logic, recursive enumerability, Kripke semantics.
Funding agency Grant number
Russian Foundation for Basic Research 14-06-00298_а
16-07-01272_а
Received: 29.08.2016
Revised: 07.10.2016
Document Type: Article
UDC: 510.52, 510.643
Language: Russian
Citation: E. A. Kotikova, M. N. Rybakov, “Modeling arithmetic in the first-order language enriched with temporal quantifiers”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2016, no. 4, 5–19
Citation in format AMSBIB
\Bibitem{KotRyb16}
\by E.~A.~Kotikova, M.~N.~Rybakov
\paper Modeling arithmetic in the first-order language enriched with temporal quantifiers
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2016
\issue 4
\pages 5--19
\mathnet{http://mi.mathnet.ru/vtpmk25}
\crossref{https://doi.org/10.26456/vtpmk25}
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  • This publication is cited in the following 1 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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