Mario Román

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Do notation in type theory

Do-notation in type theory

Apr 29, 20251 min read

do-notation-in-type-theory

  • do-notation - terms have a unique derivation
  • do-notation - quotienting by interchange
  • do-notation - composition
  • arrow notation

References

  • Generalising Monads to Arrows (Hughes)
  • A New Notation for Arrows (Patterson)

Tags: Type theory, Type theory for symmetric monoidal categories.


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Backlinks

  • Combinatorial insertions
  • Crema di mascarpone in do notation
  • Do notation is sound and complete for monoidal categories
  • Problem with exchange in do notation
  • arrow notation
  • Do-notation composition
  • Quotienting Do-notation
  • Derivations in Do-notation
  • effectful transition systems in do-notation
  • internal language
  • Monoidal category
  • premonoidal categories are monoidal categories without the interchange law
  • Session do-notation

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