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Diskretnaya Matematika, 2004, Volume 16, Issue 2, Pages 98–103
DOI: https://doi.org/10.4213/dm155 (Mi dm155) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Modeling circuits consisting of functional elements on a universal Turing machine

A. V. Chashkin
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DOI: https://doi.org/10.4213/dm155
Abstract: We study the time of simulation of Boolean circuits by three-tape Turing machine which uses one of the tapes to store the control program. We find that for any circuit $S$ there exists a program $P$ such that the simulation time $T(P)$ for the circuit $S$ satisfies the relation $T(P)=O(L(S)\log_2L(S))$, where $L(S)$ is the complexity of the circuit $S$. We demonstrate that this estimate is sharp.
This research was supported by the Russian Foundation for Basic Research, grants 02–01–00985 and 00–15–96103.
Received: 21.04.2003
English version:
Discrete Mathematics and Applications, 2004, Volume 14, Issue 3, Pages 267–272
DOI: https://doi.org/10.1515/1569392031905557
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: A. V. Chashkin, “Modeling circuits consisting of functional elements on a universal Turing machine”, Diskr. Mat., 16:2 (2004), 98–103; Discrete Math. Appl., 14:3 (2004), 267–272
Citation in format AMSBIB
\Bibitem{Cha04}
\by A.~V.~Chashkin
\paper Modeling circuits consisting of functional elements on a universal Turing machine
\jour Diskr. Mat.
\yr 2004
\vol 16
\issue 2
\pages 98--103
\mathnet{http://mi.mathnet.ru/dm155}
\crossref{https://doi.org/10.4213/dm155}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2084572}
\zmath{https://zbmath.org/?q=an:1121.68048}
\transl
\jour Discrete Math. Appl.
\yr 2004
\vol 14
\issue 3
\pages 267--272
\crossref{https://doi.org/10.1515/1569392031905557}
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    • This publication is cited in the following 1 articles:
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