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Zwei-Band Simulation von Turingmaschinen

A two-tape simulation of turing machines

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Zusammenfassung

Zu jeder TuringmaschineM 1 mitk Arbeitsfeldern auf einemm-dimensionalen Speicher (m≥1) existiert eine TuringmaschineM 2 mit einem Band und einem Keller, diet M 1-Schritte in höchstens γt 2−1/mlg+γ′ Schritten simuliert. Diese Schranke ist höchstens um den Faktor lgt zu groß.

Summary

LetM 1 be a Turing machine withk heads on am-dimensional storage (m≥1). Then there exists a Turing machineM 2 with one tape and one stack, simulatingt M 1-steps in at most γt 2−1/mlgt+γ′M 2-steps. This result cannot be improved by more then a factor lgt.

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Literatur

  1. Hennie, F. C.: On-Line Turing Machine Computations IEEE Trans. Electronic Computers EC-15,1, 35–44 (1966).

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  2. Hennie, F. C., andR. E. Stearns: Two-Tape Simulation of Multitape Turing Machines. J. Assoc. Comp. Mach.,13, 4, 533–546 (1966).

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  3. Stoss, H.-J.:k-Band Simulation vonk-Kopf Turingmaschinen. Erscheint in Computing.

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Authors and Affiliations

  1. Fachbereich Mathematik, Universität Konstanz, Jacob-Burckhardt-Straße, Postfach 733, BRD-775, Konstanz, Deutschland

    H-J Stoß

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  1. H-J Stoß
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Stoß, HJ. Zwei-Band Simulation von Turingmaschinen. Computing 7, 222–235 (1971). https://doi.org/10.1007/BF02242349

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  • DOI: https://doi.org/10.1007/BF02242349

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