Speed-up theorem without tape compression

  • Viliam Geffert
Part of the Lecture Notes in Computer Science book series (LNCS, volume 452)


We shall show that each nondeterministic single-tape Turing machine of time complexity T(n) ≥ n2 can be replaced by an equivalent k times faster nondeterministic machine writing only zeroes and ones on its tape, for each k ≥ 1. Therefore, nondeterministic single-tape Turing machines do not require the tape compression for speeding-up.


Turing Machine Computation Path Current Segment Tape Head Tape Position 
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    M. Liśkiewicz, K. Loryś: Two applications of Fürer's counter to one-tape nondeterministic TM's, Proceedings of MFCS'88, LNCS 324, Springer-Verlag 1988, 445–453Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Viliam Geffert
    • 1
  1. 1.Department of Computer ScienceUniversity of P.J.ŠafárikKošiceCzechoslovakia

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