English

Formulas and properties

Logic 2021-04-02 v1

Abstract

We study links between first-order formulas and arbitrary properties for families of theories, classes of structures and their isomorphism types. Possibilities for ranks and degrees for formulas and theories with respect to given properties are described. Characteristics for generic sentences and generic theories with respect to properties are described and characterized.

Keywords

Cite

@article{arxiv.2104.00468,
  title  = {Formulas and properties},
  author = {Sergey V. Sudoplatov},
  journal= {arXiv preprint arXiv:2104.00468},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1901.11011