Untestable properties in the kahr-moore-wang class

  • Authors:
  • Charles Jordan;Thomas Zeugmann

  • Affiliations:
  • Division of Computer Science, Hokkaido University, Sapporo, Japan;Division of Computer Science, Hokkaido University, Sapporo, Japan

  • Venue:
  • WoLLIC'11 Proceedings of the 18th international conference on Logic, language, information and computation
  • Year:
  • 2011

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Abstract

Property testing is a kind of randomized approximation in which one takes a small, random sample of a structure and wishes to determine whether the structure satisfies some property or is far from satisfying the property.We focus on the testability of classes of first-order expressible properties, and in particular, on the classification of prefixvocabulary classes for testability. The main result is the untestability of [∀∃∀, (0, 1)]=. This is a well-known class and minimal for untestability. We discuss what is currently known about the classification for testability and briefly compare it to other classifications.