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Dec 17, 2015 at 18:18 comment added cody @user84230: that's an interesting question! Note that infinitary logic as usually described is not decidable, or is it even clear how to finitely represent a formula without further restrictions.
Dec 17, 2015 at 4:02 comment added user84230 Wondering if there is a theory for quantifier elimination on infinitary 1st order logic, as there is one finitary 1st order logic over real closed field due to Tarski.
Dec 17, 2015 at 4:00 comment added user84230 Thanks, that's quite helpful, and I will look into suggested reference.
Dec 17, 2015 at 3:38 history edited Noah Schweber CC BY-SA 3.0
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Dec 17, 2015 at 3:32 history answered Noah Schweber CC BY-SA 3.0