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New time hierarchy results for deterministic TMS

  • Conference paper
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STACS 92 (STACS 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 577))

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Abstract

We show a method of maintaining a distributed counter by 2-dimensional deterministic Turing machines with at least two tapes. Our method yields a tight time hierarchy for these machines solving an open problem posed by M. Fürer ([Fü1],[Fü2]). Moreover, we improve the best known time hierarchy theorem for one-tape off-line deterministic TMs; among others we show that this hierarchy is tight for functions bounded by polynomials.

This work was supported by the Alexander-von-Humboldt-Stiftung while the author was visited the Lehrstuhl für Theoretische Informatik, Institut für Informatik, Universität Würzburg, 8700 Würzburg, Germany

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Authors and Affiliations

  1. Institute of Computer Science, University of Wroclaw, ul. Przesmyckiego 20, 51-151, Wroclaw, Poland

    Krzysztof Loryś

Authors
  1. Krzysztof Loryś
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Alain Finkel Matthias Jantzen

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© 1992 Springer-Verlag Berlin Heidelberg

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Loryś, K. (1992). New time hierarchy results for deterministic TMS. In: Finkel, A., Jantzen, M. (eds) STACS 92. STACS 1992. Lecture Notes in Computer Science, vol 577. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55210-3_194

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  • DOI: https://doi.org/10.1007/3-540-55210-3_194

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55210-9

  • Online ISBN: 978-3-540-46775-5

  • eBook Packages: Springer Book Archive

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