Logic Seminar

Maryanthe Malliaris
UChicago
Independence and order in the characteristic sequence.
Abstract: The characteristic sequence of hypergraphs $\langle P_n : n<\omega \rangle$ associated to a formula $\phi(x;y)$, defined by $P_n(y_1,\ldots y_n) = (\exists x) \bigwedge_{i\leq n} \phi(x;y_i)$, is a tool for studying the combinatorial complexity of $\phi$-types. This talk will discuss how graph-theoretic techniques, notably Szemeredi regularity, can be naturally applied to the study of model-theoretic complexity via the characteristic sequence.
seminar begins with tea
Tuesday September 1, 2009 at 4:00 PM in SEO 612
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