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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 9, Pages 80–86 (Mi ivm8933)  
Brief communications

Computational power of real-time Turing machines with sublogarithmic memory restrictions

A. N. Leshchev

Chair of Theoretical Cybernetics, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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Abstract: In this paper we consider the well-known Turing machine model – nondeterministic real-time Turing machine. We prove the existence of nonregular complexity classes of languages that can be recognized by nondeterministic real-time Turing machines with sublogarithmic memory restrictions. These complexity classes form a strict hierarchy. We define a special language family and show its properties to prove that hierarchy.
Keywords: real-time Turing machine, nondeterministic Turing machine, memory restrictions.
Presented by the member of Editorial Board: N. K. Zamov
Received: 01.04.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 9, Pages 66–70
DOI: https://doi.org/10.3103/S1066369X14090096
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: A. N. Leshchev, “Computational power of real-time Turing machines with sublogarithmic memory restrictions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 9, 80–86; Russian Math. (Iz. VUZ), 58:9 (2014), 66–70
Citation in format AMSBIB
\Bibitem{Les14}
\by A.~N.~Leshchev
\paper Computational power of real-time Turing machines with sublogarithmic memory restrictions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 9
\pages 80--86
\mathnet{http://mi.mathnet.ru/ivm8933}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 9
\pages 66--70
\crossref{https://doi.org/10.3103/S1066369X14090096}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906212805}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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