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In [15] a homotopic variation for locality of logics was presented, namely aQuillen model category-based framework for locality under logical equivalence,for every primitive-positive sentence of quantifier-rank $k$. In this paper, wewill present some of the implications and possible themes for investigationsthat arise from the aforementioned framework.

Implications of a Quillen Model Structures-Based Framework for Locality under Logical Equivalence