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Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.
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Is this dichotomy for a VC-shatter-like function known?
Associated with each family $\mathcal{F}$ of a subsets of a set $\mathbf{X}$ I have a function $f:\mathbb{N}\rightarrow\mathbb{N}$ resembling the dual shatter function. This function obeys a polynomia …
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Expressive power of FO with $\mu$
You also might be interested in the paper The Role of Decidability in First Order Separations over Classes of Finite
Structures by Steven Lindell and Scott Weinstein. While they don't address the abov …
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Can a positive elementary inductive definition refer to its own stage comparison relation?
This is a cross-post of a question from cstheory.SE
Moschovakis' stage comparison theorem says that the stage comparison relation associated with any positive elementary induction is itself definable …