Counterexample to Vaught's conjecture formalized and verified in Lean

roydanroy · x · 2026-10-12

Cameron Freer, Nate Ackerman, and Robin Knight constructed a counterexample to Vaught's conjecture for infinitary logic, based on Knight's unpublished manuscript, and have verified the construction in the Lean theorem prover — providing machine-checked support for a major result in mathematical logic.

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