Formulas and properties
arXiv:2104.00468
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.
arXiv admin note: text overlap with arXiv:1901.11011