Matching upper and lower bounds for simulations of several tapes on one multidimensional tape

  • Martin Dietzfelbinger
  • Martin Hühne
Complexity Theory
Part of the Lecture Notes in Computer Science book series (LNCS, volume 880)


We prove a \(\Theta (t(n)\sqrt[d]{{t(n)}}/\log i(n))\) bound for the simulation of t(n) steps of a Turing machine using several one-dimensional work tapes on a Turing machine using one d-dimensional work tape, d ≥ 2. The lower bound holds for the problem of recognizing languages on machines with a separate one-way input tape.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Martin Dietzfelbinger
    • 1
  • Martin Hühne
    • 1
  1. 1.Fachbereich Informatik, Lehrstuhl IIUniversität DortmundDortmund

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