Indifference to symmetry in Hrushovski's ab initio construction

Omer Mermelstein

Research output: Contribution to journalArticlepeer-review


Denote Hrushovski's non-collapsed ab initio construction for an n-ary relation by M and the analogous construction for a symmetric n-ary relation by M. We show that M is isomorphic to a proper reduct of M and vice versa, and that the combinatorial pregeometries associated with both structures are isomorphic.

Original languageEnglish
Article number103040
JournalAnnals of Pure and Applied Logic
Issue number1
StatePublished - 1 Jan 2022


  • Hrushovski construction
  • Predimension
  • Pregeometry
  • Reduct

ASJC Scopus subject areas

  • Logic


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