A note on square rooting of time functions of turing machines

Richard J. Lipton, Mitsunori Ogihara, Yechezkel Zalcstein

Research output: Contribution to journalArticle

Abstract

Square rooting of time functions of turing machines was studied and analysed. The conjecture that for all nondeterministic time functions T that are ω(n2) the square root of T is equivalent to the time function of a nondeterministic turing machine. It was found that for every rational number α, 02) such that Tα is not equivalent to any time function of a deterministic turing machine.

Original languageEnglish (US)
Pages (from-to)295-299
Number of pages5
JournalTheory of Computing Systems
Volume36
Issue number3
DOIs
StatePublished - May 2003
Externally publishedYes

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Turing machines
Turing Machine
Square root

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computational Theory and Mathematics
  • Mathematics(all)

Cite this

A note on square rooting of time functions of turing machines. / Lipton, Richard J.; Ogihara, Mitsunori; Zalcstein, Yechezkel.

In: Theory of Computing Systems, Vol. 36, No. 3, 05.2003, p. 295-299.

Research output: Contribution to journalArticle

Lipton, Richard J. ; Ogihara, Mitsunori ; Zalcstein, Yechezkel. / A note on square rooting of time functions of turing machines. In: Theory of Computing Systems. 2003 ; Vol. 36, No. 3. pp. 295-299.
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