Abstract:Abstract. In property testing, the goal is to distinguish between structures that have some desired property and those that are far from having the property, after examining only a small, random sample of the structure. We focus on the classification of first-order sentences based on their quantifier prefixes and vocabulary into testable and untestable classes. This classification was initiated by Alon et al.[1], who showed that graph properties expressible with quantifier patterns ∃ * ∀ * are testable but tha… Show more
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