On double-membership graphs of models of Anti-Foundation
Logic
2025-03-14 v1
Abstract
We answer some questions about graphs which are reducts of countable models of Anti-Foundation, obtained by considering the binary relation of double-membership . We show that there are continuum-many such graphs, and study their connected components. We describe their complete theories and prove that each has continuum-many countable models, some of which are not reducts of models of Anti-Foundation.
Cite
@article{arxiv.1908.02708,
title = {On double-membership graphs of models of Anti-Foundation},
author = {Bea Adam-Day and John Howe and Rosario Mennuni},
journal= {arXiv preprint arXiv:1908.02708},
year = {2025}
}
Comments
15 pages, 2 figures