Model theory and combinatorics of banned sequences
arXiv:1801.07640 · doi:10.1017/jsl.2019.35
Abstract
We set up a general context in which one can prove Sauer-Shelah type lemmas. We apply our general results to answer a question of Bhaskar and give a slight improvement to a result of Malliaris and Terry. We also prove a new Sauer-Shelah type lemma in the context of op-rank, a notion of Guingona and Hill.