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A NOTE ON AXIOMS FOR INFINITE-GENERIC STRUCTURES (2008)

Abstract
In this note we give some natural examples of theories T in countable logics L such that the class GT of infinite-generic structures for T is not axiomatizable by a single sentence of LW1> w. The point of the examples is to provide a contrast to a certain phenomenon recently observed in model-theory, concerning the assignment

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Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=?doi=10.1.1.107.6025
Source http://jlms.oxfordjournals.org/cgi/reprint/s2-9/4/581.pdf
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Type text
Language English