Quillen Model Structures-Based Notions of Locality of Logics over Finite Models

Hendrick Maia

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arXiv · 2005.09135

Quillen Model Structures-Based Notions of Locality of Logics over Finite Models

Hendrick Maia

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Abstract

Locality is a property of logics, based on Hanf's and Gaifman's theorems, and that was shown to be very useful in the context of finite model theory. In this paper I present a homotopic variation for locality, namely a Quillen model category-based framework for locality under k-logical equivalence, for every primitive-positive sentence of quantifier-rank k.

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Hendrick Maia. 2020-05-18. Quillen Model Structures-Based Notions of Locality of Logics over Finite Models. https://arxiv.org/abs/2005.09135

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