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Classification Theory and Stationary Logic

Classification Theory and Stationary Logic

Stationary logic L(aa) is obtained for L ωω by adding a quantifier aa which ranges over countable sets and is interpreted to mean “for a closed unbounded set of countable subsets”. The dual quantifier for aa is stat, i.e., stat sφ(s) is equivalent to ¬aa s ¬φ( s ). In …