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arxiv: 1408.3624 · v3 · pith:7HQW4OMLnew · submitted 2014-08-15 · 🧮 math.LO

A presentation theorem for continuous logic and Metric Abstract Elementary Classes

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keywords abstractclasseselementarypresentationcontinuouslogicmetricomega
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We give a presentation theorem for continuous first-order logic and Metric Abstract Elementary classes in terms of $L_{\omega_1, \omega}$ and Abstract Elementary Classes, respectively. This presentation is accomplished by analyzing dense subsets that are closed under functions. We extend this correspondence to types and saturation.

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