The Duality of Classical Intersection and Union Types

@article{Downen2019TheDO,
  title={The Duality of Classical Intersection and Union Types},
  author={P. Downen and Zena M. Ariola and Silvia Ghilezan},
  journal={Fundam. Informaticae},
  year={2019},
  volume={170},
  pages={39-92}
}
For a long time, intersection types have been admired for their surprising ability to complete the simply typed lambda calculus. Intersection types are an example of an implicit typing feature which can describe program behavior without manifesting itself within the syntax of a program. Dual to intersections, union types are another implicit typing feature which extends the completeness property of intersection types in the lambda calculus to full-fledged programming languages. However, the… Expand
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