论文标题

质量模型结构基于有限模型的逻辑局部概念

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

论文作者

Maia, Hendrick

论文摘要

局部性是基于Hanf和Gaifman定理的逻辑的属性,在有限模型理论的背景下,这非常有用。在本文中,我为区域性提出了一个同型变化,即基于k-逻辑等效性下的基于Quillen模型类别的框架,对于量词rank-rank-rank-rank k的每个原始阳性句子。

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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