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Proceedings of the ACM on Programming Languages
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PURE Aarhus University
Article . 2025
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The Simple Essence of Monomorphization

Authors: Matthew Lutze; Philipp Schuster; Jonathan Immanuel Brachthäuser;

The Simple Essence of Monomorphization

Abstract

Monomorphization is a common implementation technique for parametric type-polymorphism, which avoids the potential runtime overhead of uniform representations at the cost of code duplication. While important as a folklore implementation technique, there is a lack of general formal treatments in the published literature. Moreover, it is commonly believed to be incompatible with higher-rank polymorphism. In this paper, we formally present a simple monomorphization technique based on a type-based flow analysis that generalizes to programs with higher-rank types, existential types, and arbitrary combinations. Inspired by algebraic subtyping, we track the flow of type instantiations through the program. Our approach only supports monomorphization up to polymorphic recursion, which we uniformly detect as cyclic flow. Treating universal and existential quantification uniformly, we identify a novel form of polymorphic recursion in the presence of existential types, which we coin polymorphic packing. We study the meta-theory of our approach, showing that our translation is type-preserving and preserves semantics step-wise.

Country
Denmark
Related Organizations
Keywords

existential types, monomorphization, higher-rank types, polymorphic recursion, polymorphic packing

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Top 10%
Average
Average
Green
Published in a Diamond OA journal