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Optimizing Binary Decision Diagrams for Set-Theoretic Type Systems in Elixir

By

tvda

6mo ago· 12 min readenInsight

Summary

The article discusses the implementation of a set-theoretic type system for the Elixir programming language, focusing on the use of Binary Decision Diagrams (BDDs) to efficiently represent type operations like unions, intersections, and negations. It covers existing theoretical and practical approaches, and details improvements introduced in Elixir v1.19 to optimize these data structures for better performance in type checking and inference.

Key quotes

· 5 pulled
The Elixir team and the CNRS are working on a set-theoretic type system for Elixir which, simply put, is a type-system powered by unions, intersections, and negations.
As part of the implementation of said type systems, we need an efficient way of representing said operations.
This article discusses the existing approaches found in theory and practice, as well as the improvements we have introduced as part of Elixir v1.19.
This article covers the implementation details of the type system. You don't need to understand these internals to use the type system, just as you don't need to know how a car engine works to drive a car.
This article explores the data structures used to represent set-theoretic types and the recent optimizations we have applied to them.
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This article explores the data structures used to represent set-theoretic types and the recent optimizations we have applied to them

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