Exact and approximate membership testers

  • Authors:
  • Larry Carter;Robert Floyd;John Gill;George Markowsky;Mark Wegman

  • Affiliations:
  • -;-;-;-;-

  • Venue:
  • STOC '78 Proceedings of the tenth annual ACM symposium on Theory of computing
  • Year:
  • 1978

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Abstract

In this paper we consider the question of how much space is needed to represent a set. Given a finite universe U and some subset V (called the vocabulary), an exact membership tester is a procedure that for each element s in U determines if s is in V. An approximate membership tester is allowed to make mistakes: we require that the membership tester correctly accepts every element of V, but we allow it to also accept a small fraction of the elements of U - V.