Comparing complexity classes

  • Authors:
  • Ronald V. Book

  • Affiliations:
  • -

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 1974

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Abstract

Complexity classes defined by time-bounded and space-bounded Turing acceptors are studied in order to learn more about the cost of deterministic simulation of nondeterministic processes and about time-space tradeoffs. Here complexity classes are compared by means of reducibilities and class-complete sets. The classes studied are defined by bounds of the order n, n^k, 2^n, 2^n^^^k. The results do not establish the existence of possible relationships between these classes; rather, they show the consequences of such relationships, in some cases offering circumstantial evidence that these relationships, do not hold and that certain pairs of classes are set-theoretically incomparable.