Continuous Craig Interpolation
H. Jerome Keisler
TL;DR
This paper extends the Craig interpolation theorem to the setting of continuous model theory for metric structures, providing new theoretical insights into the logical properties of these models.
Contribution
It introduces analogues of the Craig interpolation theorem specifically tailored for continuous model theory of metric structures, a novel theoretical development.
Findings
Established Craig interpolation analogues for continuous models
Enhanced understanding of logical properties in metric structures
Provided foundational results for further research in continuous logic
Abstract
We prove analogues of the Craig interpolation theorem for the continuous model theory of metric structures.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Advanced Measurement and Metrology Techniques · Model Reduction and Neural Networks