Locality of order-invariant first-order formulas

  • Authors:
  • Martin Grohe;Thomas Schwentick

  • Affiliations:
  • Albert-Ludwigs-Univ. Freiburg, Freiburg, Germany;Johannes-Gutenberg-Univ. Mainz, Mainz, Germany

  • Venue:
  • ACM Transactions on Computational Logic (TOCL)
  • Year:
  • 2000

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Abstract

A query is local if the decision of whether a tuple in a structure satisfies this query only depends on a small neighborhood of the tuple. We prove that all queries expressible by order-invariant first-order formulas are local.