Paper accepted for publication at POPL 2022

Our paper “Type-Level Programming with Match Types” (Olivier Blanvillain, Jonathan Brachthäuser
Head of the SE research group
Jonathan Immanuel Brachthäuser
, Maxime Kjaer, and Martin Odersky) has been accepted for publication at the ACM SIGPLAN Symposium on Principles of Programming Languages (POPL 2022).


Type-level programming is becoming more and more popular in the realm of functional programming. However, the combination of type-level programming and subtyping remains largely unexplored in practical programming languages. This paper presents match types, a type-level equivalent of pattern matching. Match types integrate seamlessly into programming languages with subtyping and, despite their simplicity, offer significant additional expressiveness. We formalize the feature of match types in a calculus based on System F sub and prove its soundness. We practically evaluate our system by implementing match types in the Scala 3 reference compiler, thus making type-level programming readily available to a broad audience of programmers.

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Type-Level Programming with Match Types

by Olivier Blanvillain, Jonathan Immanuel Brachthäuser, Maxime Kjaer, and Martin Odersky

In Proc. ACM Program. Lang. 6(POPL). Association for Computing Machinery, 2022.

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