Checking value-sensitive data structures in sublinear space

  • Authors:
  • Michael T. Goodrich;Jonathan Z. Sun

  • Affiliations:
  • Department of Computer Science, University of California, Irvine, CA;School of Computing, The University of Southern Mississippi, Hattiesburg, MS

  • Venue:
  • ISAAC'07 Proceedings of the 18th international conference on Algorithms and computation
  • Year:
  • 2007

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Abstract

Checking value-sensitive data structures in sublinear space has been an open problem for over a decade. In this paper, we suggest a novel approach to solving it. We show that, in combination with other techniques, a previous method for checking value-insensitive data structures in log space can be extended for checking the more complicated value-sensitive data structures, using log space as well. We present the theoretical model of checking data structures and discuss the types of invasions a checker might bring to the data structure server. We also provide our idea of designing sublinear space checkers for value-sensitive data structures and give a concrete example - a log space checker for the search data structures (SDS).