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On checking versus evaluation of multiple queries

  • William I. Gasarch
  • Lane A. Hemachandra
  • Albrecht Hoene
Communications
Part of the Lecture Notes in Computer Science book series (LNCS, volume 452)

Abstract

The distinction between computing answers and checking answers is fundamental to computational complexity theory, and is reflected in the relationship of NP to P. The plausibility of computing the answers to many membership queries to a hard set with few queries is the subject of the theory of terseness. In this paper, we develop companion theories—both complexity-theoretic and recursion-theoretic—of characteristic vector terseness, which ask whether the answers to many membership queries to a hard set can be checked with fewer queries.

Keywords

Characteristic Vector SIAM Journal Random Oracle Multiple Query Membership Query 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • William I. Gasarch
    • 1
  • Lane A. Hemachandra
    • 2
  • Albrecht Hoene
    • 3
  1. 1.Institute for Advanced Computer Studies, Department of Computer ScienceUniversity of MarylandCollege Park
  2. 2.Department of Computer ScienceUniversity of RochesterRochester
  3. 3.Technische Universität Berlin, Fachbereich InformatikBerlin 10

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