Abstract

We apply a general approach for distributions of binary isolating and semi-isolating formulas to the class of strongly minimal theories. For this aim we introduce and use the notion of forcing of infinity. Structures associated with binary formulas, in strongly minimal theories, and containing compositions and Boolean combinations are characterized: a list of basic structural properties for these structures, including the forcing of infinity, is presented, and it is shown that structures satisfying this list of properties are realized in strongly minimal theories.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.