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Talkat Lambda Days 2018 · 2018-02-22..02-23· [functional-programming]
slides:none on file

Explains how category theory models three concrete data types — products sums exponentials — and proves the specific isomorphisms like Hom(C, A×B) ≅ Hom(C,A)×Hom(C,B) and Hom(A+B, C) ≅ Hom(A,C)×Hom(B,C). Implements the ideas in Java and Haskell (pair/record, Either, currying) and points out the practical mismatch with nontermination in ML. Notes that blockchain script languages Simplicity Michelson Plutus expose these constructs, argues category theory discovers monads and can shrink compilers, and cites concrete code and hiring at IOHK.

AI-written summary · about

  1. 0:00Start
  2. 6:38CATEGORIES
  3. 42:21Products in Haskell
  4. 51:29Sums in Java
  5. 56:00EXPONENTIALS
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