English

Characterizing model completeness among mutually algebraic structures

Logic 2016-02-10 v2

Abstract

We characterize when the elementary diagram of a mutually algebraic structure has a model complete theory, and give an explicit description of a set of existential formulas to which every formula is equivalent. This characterization yields a new, more constructive proof that the elementary diagram of any model of a strongly minimal, trivial theory is model complete.

Keywords

Cite

@article{arxiv.1206.6032,
  title  = {Characterizing model completeness among mutually algebraic structures},
  author = {Michael C. Laskowski},
  journal= {arXiv preprint arXiv:1206.6032},
  year   = {2016}
}

Comments

Corrected statement of Theorem 3.1

R2 v1 2026-06-21T21:25:50.617Z