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math.LO2026
O-minimal open core is not an elementary property
Alexi Block Gorman, Esther Elbaz Saban
Given a structure with a definable topology, its open core is a structure defined on the same universe whose language consists of all open sets of all arities definab…
math.DS2026
Sequential densities of rational languages
Alexi Block Gorman, Dominique Perrin
We introduce the notion of density of a rational language with respect to a sequence of probability measures. We prove that if is a sequence of Bernoulli measures convergin…