this post was submitted on 18 Mar 2024
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for anyone who’s fucking lost reading the above (I can’t blame ya), lambda calculus is the mathematical basis behind functional programming. this is a fun introduction. the only things you can do in lambda calculus are define functions, name variables, and apply functions to other functions or variables (which substitutes the variables for whatever they’re being applied to and eliminates the function). that’s all you need to represent every possible computer program, which is amazing
a Krivine machine is a machine for doing what the alligators in that intro are doing, automatically — that is, reducing down lambda functions until they can’t be reduced anymore and produce a final value. that process is computation, so a Krivine machine is a (rather strange) computer