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arXiv · 2204.13790

Semi-equational theories

Artem Chernikov·Alex Mennen
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Abstract

We introduce and study semi-equational and weakly semi-equational theories, generalizing equationality in stable theories (in the sense of Srour) to the NIP context. In particular, we establish a connection to distality via one-sided strong honest definitions; demonstrate that certain trees are semi-equational, while algebraically closed valued fields are not weakly semi-equational; and obtain a general criterion for weak semi-equationality of an expansion of a distal structure by a new predicate.

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Artem Chernikov, Alex Mennen. 2022-04-28. Semi-equational theories. https://arxiv.org/abs/2204.13790

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