Forth is a neat little language. Writing a compiler for it is very easy, and yet it isn't too terrible to write as a user. That is a tough balance to strike.
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Do I need to understand lambda calculus to get the most out of this article? I made it to combinators and I’m a bit lost. Should I just read the mentioned “to mock a mockingbird”?
lambda calculus
I wouldn't say so. I'd say you can try quickly skimming through the theoretical explanation and instead reading the code snippets provided. I've got a feeling that you're already familiar with the concept and can figure out the code - it's just the math behind it which can read too intense.
I don't understand λ calculus, but I was able to make it through the article. It gets less theoretical and more about how Forth works, why it was designed the way it is, and so on. It was a great read!