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Matematicheskie Zametki, 1973, Volume 13, Issue 6, Pages 899–909 (Mi mzm7195)  
This article is cited in 20 scientific papers (total in 20 papers)

Solvability of the halting problem for certain classes of Turing machines

L. M. Pavlotskaya

Moscow Power Engineering Institute
Full-text PDF (1058 kB) Citations (20)
Abstract: One method of proving that some Turing machine is not universal is to prove that the halting problem is solvable for it. Therefore, to obtain a lower bound on the complexity of a universal machine, it is convenient to have a criterion of solvability of the halting problem. In the present paper, we establish some of these criteria; they are formulated in terms of properties of machine graphs and computations.
Received: 01.11.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 6, Pages 537–541
DOI: https://doi.org/10.1007/BF01163965
Bibliographic databases:
UDC: 519.9
Language: Russian
Citation: L. M. Pavlotskaya, “Solvability of the halting problem for certain classes of Turing machines”, Mat. Zametki, 13:6 (1973), 899–909; Math. Notes, 13:6 (1973), 537–541
Citation in format AMSBIB
\Bibitem{Pav73}
\by L.~M.~Pavlotskaya
\paper Solvability of the halting problem for certain classes of Turing machines
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 6
\pages 899--909
\mathnet{http://mi.mathnet.ru/mzm7195}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=321709}
\zmath{https://zbmath.org/?q=an:0284.02017}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 6
\pages 537--541
\crossref{https://doi.org/10.1007/BF01163965}
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  • https://www.mathnet.ru/eng/mzm/v13/i6/p899
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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