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autoformalization
also automatic formalization
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Definition of autoformalization
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: the automatic translation of mathematical statements, definitions, or proofs written in natural language into a formal language that a proof assistant such as Lean, Isabelle, or Coq can check
- The research team used autoformalization to convert an informal olympiad proof into Lean before checking every logical step.
- A fluent translation was not enough because the autoformalized theorem also had to preserve the meaning of the original statement.
Origin & history
Attempts to automate the formalization of mathematics predate modern language models, but autoformalization became a prominent AI research label in the early 2020s as large language models were applied to translating natural-language mathematics into theorem-prover code.
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Cite this entry
"Autoformalization." AI Dictionary, Dadgogo, https://dadgogo.com/dictionary/autoformalization/. Accessed 8 Oct. 2026.
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