General Automation in Coq through Modular Transformations

@inproceedings{Blot2021GeneralAI,
  title={General Automation in Coq through Modular Transformations},
  author={Valentin Blot and Louise Dubois de Prisque and Chantal Keller and Pierre Vial},
  booktitle={PxTP},
  year={2021}
}
Whereas proof assistants based on Higher-Order Logic benefit from external solvers’ automation, those based on Type Theory resist automation and thus require more expertise. Indeed, the latter use a more expressive logic which is further away from first-order logic, the logic of most automatic theorem provers. In this article, we develop a methodology to transform a subset of Coq goals into first-order statements that can be automatically discharged by automatic provers. The general idea is to… 
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