Graded Modal Dependent Type Theory

@article{Moon2021GradedMD,
  title={Graded Modal Dependent Type Theory},
  author={Benjamin Moon and Harley D. Eades and Dominic A. Orchard},
  journal={Programming Languages and Systems},
  year={2021},
  volume={12648},
  pages={462 - 490}
}
Graded type theories are an emerging paradigm for augmenting the reasoning power of types with parameterizable, fine-grained analyses of program properties. There have been many such theories in recent years which equip a type theory with quantitative dataflow tracking, usually via a semiring-like structure which provides analysis on variables (often called ‘quantitative’ or ‘coeffect’ theories). We present Graded Modal Dependent Type Theory (Grtt for short), which equips a dependent type… 
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