• Corpus ID: 201636613

Model Theory for Real-valued Structures

  title={Model Theory for Real-valued Structures},
  author={H. Jerome Keisler},
  journal={arXiv: Logic},
  • H. Keisler
  • Published 24 May 2020
  • Computer Science, Mathematics
  • arXiv: Logic
We consider general structures where formulas have truth values in the real unit interval as in continuous model theory, but whose predicates and functions need not be uniformly continuous with respect to a distance predicate. Every general structure can be expanded to a pre-metric structure by adding a distance predicate that is a uniform limit of formulas. Moreover, that distance predicate is unique up to uniform equivalence. We use this to extend the central notions in the model theory of… 
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