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Speed-up theorem without tape compression

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

Abstract

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.

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References

  1. J. Hartmanis, R.E. Stearns: On the computational complexity of algorithms, Trans. Amer. Math. Soc., 117, 1965, 285–306

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  2. M.Liśkiewicz, K.Loryś: Fast simulations of time-bounded one-tape TM's by space-bounded ones, Technical Report N-187, Wrocław University, August 1987

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  3. 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, 445–453

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Branislav Rovan

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© 1990 Springer-Verlag Berlin Heidelberg

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Geffert, V. (1990). Speed-up theorem without tape compression. In: Rovan, B. (eds) Mathematical Foundations of Computer Science 1990. MFCS 1990. Lecture Notes in Computer Science, vol 452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0029620

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  • DOI: https://doi.org/10.1007/BFb0029620

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52953-8

  • Online ISBN: 978-3-540-47185-1

  • eBook Packages: Springer Book Archive

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