A Duality Theoretic View on Limits of Finite Structures

@article{Gehrke2020ADT,
  title={A Duality Theoretic View on Limits of Finite Structures},
  author={Mai Gehrke and Tom'avs Jakl and Luca Reggio},
  journal={Foundations of Software Science and Computation Structures},
  year={2020},
  volume={12077},
  pages={299 - 318}
}
A systematic theory of structural limits for finite models has been developed by Nešetřil and Ossona de Mendez. It is based on the insight that the collection of finite structures can be embedded, via a map they call the Stone pairing, in a space of measures, where the desired limits can be computed. We show that a closely related but finer grained space of measures arises — via Stone-Priestley duality and the notion of types from model theory — by enriching the expressive power of first-order… Expand
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