Lean
Named by 18 kept items in this workspace.
13 items name it under frameworks and tools and 5 under classification.technologies.
The items that name it 18
Proof assistant used by Axiom for auto-formalization of the Classification of Finite Simple Groups and by Claude agents for the Thomson problem case.
Software that verifies every logical step of a proof mechanically. OpenAI's disproof was formalized in it on October 17.
Proof assistant used to formalize and verify the AI-produced proofs for the local smoothing conjecture, the refutation of the Exponential Time Hypothesis, and Yang–Mills existence
Proof language in which Mathlib, a shared library of formal mathematics, is written.
Used by Claude to formally verify its divsteps design
Used to formally verify an Argon-written arcsin quantum implementation
Proof language in which generated proofs are written and checked by the verifier against trusted challenge statements.
Proof assistant in which OpenAI's Partition Principle result was formalised; the author notes the Lean code was enormous and did not review it
Formal proof assistant used to produce formalizations of the mathematical results in the repo
Software that checks every logical step of a mathematical proof mechanically; used to formalize and verify main results of the published manuscripts, though a passing check only confirms the proof follows from the statement as written in Lean, not that the statement matches the original problem or i
Programming language that allows mathematical proofs to be checked by a computer; used for formalizations of many of the proofs
Proof assistant used to formally check the characterization and full width hierarchy, including the simplified normalization and a direct diagonal capture lemma, as stated in the abstract.
Language and proof assistant for formal verification; used to implement the Solidus compiler itself to make it more amenable to formal verification
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