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Math & Formalism

Lean 4

A rare system where theorem proving and serious programming share one language, one toolchain, and one culture.

The Iron Formalist Medal

For proving that a theorem prover can also be a serious programming language.

Why It Belongs

Lean 4 is a dependently typed functional programming language that also serves as an interactive theorem prover. It is the engine behind Mathlib and one of the few systems where formal mathematics and practical programming genuinely inhabit the same environment.

It belongs in the Hall because it closes a gap that many systems merely gesture at. Lean does not force you to choose between writing proofs and writing programs; the same language handles both, and the tooling makes the proof workflow feel like real software work rather than ceremonial punishment.

What To Preserve

Preserve the language, the tooling, and the proof-programming unity that gives the system its identity.

What matters is not just that Lean can verify theorems. It is that it proves formal methods can live in a serious developer toolchain without feeling exiled from ordinary programming practice.

Related Inductees

Adjacent artifacts, tools, and internet relics

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The Order of Inverse Sorcery

For creating a program that feels impossible, useful, and slightly illegal.

Featured Math & Formalism

RIES — Robert Munafo's Inverse Equation Solver

The original RIES program by Robert P. Munafo. Given a real number, finds simple algebraic equations that have that number as a solution.

The Order of Mathematical Public Service

For making it possible to look at a strange sequence of integers and ask the internet what universe it belongs to.

Featured Research & Reference

OEIS — The On-Line Encyclopedia of Integer Sequences

A monumental reference work for integer sequences: part encyclopedia, part mathematical commons, part search engine for pattern recognition.

The Grand Archive Laurels

For lifetime achievement in public weirdness, mathematical density, and internet maximalism.

Featured Personal Sites

mrob.com — Robert Munafo's Website

A sprawling personal site covering mathematics, large numbers, fractals, cellular automata, and more. The kind of website that used to be common and should still be.