A Survey of the Proof-Theoretic Foundations of Logic Programming

@article{Miller2021ASO,
  title={A Survey of the Proof-Theoretic Foundations of Logic Programming},
  author={Dale Miller},
  journal={ArXiv},
  year={2021},
  volume={abs/2109.01483}
}
  • Dale Miller
  • Published 3 September 2021
  • Computer Science
  • ArXiv
Several formal systems, such as resolution and minimal model semantics, provide a framework for logic programming. In this article, we will survey the use of structural proof theory as an alternative foundation. Researchers have been using this foundation for the past 35 years to elevate logic programming from its roots in first-order classical logic into higher-order versions of intuitionistic and linear logic. These more expressive logic programming languages allow for capturing stateful… 

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