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Jeremy Gibbons

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Graded Monoids for Dependently Typed Array ProgrammingARRAY 20262026-06-16
Defines graded monoids as indexing algebras that let a single fold compute both values and index metadata, proven by a monoid-homomorphism that lifts to an…
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Phases in Software ArchitectureFUNARCH 20232023-09-08
Argues that multi‑phase program structure is captured by an applicative functor encoding phases, uses Day convolution to compose two‑phase and iterated…
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Multi-phase computation as an applicative functorTyDe 20232023-09-04
Claims that structuring a computation as an applicative with phases (implemented via Day convolution / an iterated, homogeneous “phases” type) lets a single…
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What You Needa Know About YonedaCode Mesh LDN 20192019-11-07
Explains the Yoneda lemma concretely and shows how two ubiquitous Haskell encodings are isomorphic: getter/setter pairs ↔ profunctor representations. Uses…
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APLicative Programming with Naperian FunctorsLambda World 20172017-10-26
Shows that APL-style implicit lifting, alignment and static shape checks are expressible in Haskell’s type system rather than a custom language: rank…
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Teaching functional programming in the ivory tower ... and in the kitchenLambda World 20172017-10-26
Panel compares concrete training tactics and outcomes: industry teams adopt Scala in 2014 to tackle concurrency, distribution and eventual consistency, with…
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