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math.LO2023
Dimension in team semantics
Lauri Hella, Kerkko Luosto, Jouko Väänänen
We introduce three measures of complexity for families of sets. Each of the three measures, that we call dimensions, is defined in terms of the minimal number of convex subfamilies…
math.LO2014★ 1 cited
On logics extended with embedding-closed quantifiers
Jevgeni Haigora, Kerkko Luosto
We study first-order as well as infinitary logics extended with quantifiers closed upwards under embeddings. In particular, we show that if a chain of quasi-homogeneous structures…