DISTANCES BETWEEN FORMAL THEORIES

@article{Khaled2020DISTANCESBF,
  title={DISTANCES BETWEEN FORMAL THEORIES},
  author={Mohamed Khaled and G. Sz{\'e}kely and K. Lefever and Mich{\`e}le Friend},
  journal={The Review of Symbolic Logic},
  year={2020},
  volume={13},
  pages={633 - 654}
}
Abstract In the literature, there have been several methods and definitions for working out whether two theories are “equivalent” (essentially the same) or not. In this article, we do something subtler. We provide a means to measure distances (and explore connections) between formal theories. We introduce two natural notions for such distances. The first one is that of axiomatic distance, but we argue that it might be of limited interest. The more interesting and widely applicable notion is… Expand

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