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Everything about Refinement type

Types constrained by a predicate

In type theory, a refinement type is a type endowed with a predicate which is assumed to hold for any element of the refined type. Refinement types can express preconditions when used as function arguments or postconditions when used as return types: for instance, the type of a function which accepts natural numbers and returns natural numbers greater than 5 may be written as. Refinement types are thus related to behavioral subtyping. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Refinement typeA 5-minute orientation
  2. Skim a recent paper: Doping-induced grain refinement contributes to enhanced thermoelectric performance of n-type PbSe at room temperatureInfluential work since 2022
  3. Pick up a classic book: The Sugar GirlsThe most-reprinted book on the subject
  4. Read the landmark paper: Refinement of the crystal structure of SiC type 6HCited 165 times
  5. Go sideways: Liquid HaskellA closely related topic
  6. Go sideways: Session typeA closely related topic

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

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