Hierarchies of turing machines with restricted tape alphabet size

  • Authors:
  • Oscar H. Ibarra;Sartaj K. Sahni

  • Affiliations:
  • -;-

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 1975

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Abstract

It is shown that for any real constants ba=0, multitape Turing machines operating in space L"1(n)=[bn^r] can accept more sets than those operating in space L"2(n)=[an^r] provided the number of work tapes and tape alphabet size are held fixed. It is also shown that Turing machines with k+1 work tapes are more powerful than those with k work tapes if the tape alphabet size and the amount of work space are held constant.