Corpus ID: 221640610

A general definition of dependent type theories

@article{Bauer2020AGD,
  title={A general definition of dependent type theories},
  author={A. Bauer and Philipp G. Haselwarter and P. Lumsdaine},
  journal={ArXiv},
  year={2020},
  volume={abs/2009.05539}
}
  • A. Bauer, Philipp G. Haselwarter, P. Lumsdaine
  • Published 2020
  • Computer Science, Mathematics
  • ArXiv
  • We define a general class of dependent type theories, encompassing MartinLöf’s intuitionistic type theories and variants and extensions. The primary aim is pragmatic: to unify and organise their study, allowing results and constructions to be given in reasonable generality, rather than just for specific theories. Compared to other approaches, our definition stays closer to the direct or naïve reading of syntax, yielding the traditional presentations of specific theories as closely as possible… CONTINUE READING

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