Homomorphic static analysis

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[ARTICLE · art-8138] src=discourse.haskell.org ↗ pub=2026-05-22T08:19Z topic=research verified=true sentiment=· neutral

Homomorphic static analysis

Concept of homomorphic static analysis, explaining that applicatives enable such analysis while monads do not. It explores the practical implications of this distinction and the specific type of static analysis involved. The author also addresses the role of categories in this context.

read1 min views24 publishedMay 22, 2026

Applicatives allow performing static analysis, while monads do not. But what does it mean in practice? Why is it so? And what kind of static analysis is this referring to? And what happens if we use categories instead of monads? These are some of the questions I’m trying to provide an answer to in my latest blog post: Homomorphic static analysis

source & further reading

discourse.haskell.org — original article Meaning of strictness [Call for Participation]: 2.5 hour Haskell Foundation Online Workshop Is anyone using MicroHs?

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