The Natural Order-Generic Collapse for omega-Representable Databases over the Rational and the Real Ordered Group

  • Authors:
  • Nicole Schweikardt

  • Affiliations:
  • -

  • Venue:
  • CSL '01 Proceedings of the 15th International Workshop on Computer Science Logic
  • Year:
  • 2001

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Abstract

We consider order-generic queries, i.e., queries which commute with every order-preserving automorphism of a structure's universe. It is well-known that first-order logic has the natural order-generic collapse over the rational and the real ordered group for the class of dense order constraint databases (also known as finitely representable databases). I.e., on this class of databases over 〈Q,