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Type Checking Modular Multiple Dispatch with Parametric Polymorphism and Multiple InheritanceType Checking Modular Multiple Dispatch with Parametric Polymorphism and Multiple Inheritance by Eric Allen, Justin Hilburn, Scott Kilpatrick, Victor Luchangco, Sukyoung Ryu, David Chase, Guy L. Steele Jr.:
Fortress was briefly covered here a couple of times, as were multimethods and multiple dispatch, but this paper really generalizes and nicely summarizes previous work on statically typed modular multimethods, and does a good job explaining the typing rules in an accessible way. The integration with parametric polymorphism I think is key to applying multimethods in other domains which may want modular multimethods, but not multiple inheritance. The Formalization in COQ might also be of interest to some. Also, another interesting point is Fortress' use of secondclass intersection and union types to simplify type checking. By naasking at 20160401 01:25  ObjectFunctional  Theory  Type Theory  other blogs  25015 reads

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