Lambda calculus

Is logical theory of computable functions.

Notes

  • Lambda calculus is a formal language capable of expressing arbitrary computable functions. In combination with types it forms a compact way to denote on the one hand functional programs and on the other hand mathematical proofs.
  • Lambda calculus is turing complete, meaning you can express everything computable in a regular computer in lambda calculus.
  • You can formalize the entire lambda calculus inside of category theory via cartesian closed categories.

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