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7 lines of code, 3 minutes: Implement a programming language (2010)

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Why This Matters

This article highlights the lambda calculus as a foundational and minimalist programming language that underpins many modern languages like JavaScript and Haskell. Its simplicity and universality make it a crucial concept for understanding programming language design and implementation, emphasizing how even complex systems can be built from just a few core constructs. Recognizing its significance helps developers appreciate the theoretical underpinnings of the tools they use daily and inspires innovations in language development.

Key Takeaways

A small (yet Turing-equivalent) language

The easiest programming language to implement is a minimalist, higher-order functional programming language known as the lambda calculus.

The lambda calculus actually lives at the core of all the major functional languages--Haskell, Scheme and ML--but it also lives inside JavaScript, Python and Ruby. It's even hiding inside Java, if you know where to find it.

A brief history

Alonzo Church developed the lambda calculus in 1929.

Back then, it wasn't called a programming language because there were no computers; there wasn't anything to "program."

It was really just a mathematical notation for reasoning about functions.

Fortunately, Alonzo Church had a Ph.D. student named Alan Turing.

Alan Turing defined the Turing machine, which became the first accepted definition of a general-purpose computer.

It was soon discovered that the lambda calculus and the Turing machine were equivalent: any function you could describe with the lambda calculus could be implemented on a Turing machine, and any function you could implement on a Turing machine could be described in the lambda calculus.

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