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Logical Intelligence open-sources a Lean 4 proof verifying OpenAI's disproof of the Erdős planar unit distance problem

The verification was completed using the agentic Aleph Prover

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NEW: Aleph Prover has formalized OpenAI’s disproof of Paul Erdős’ planar unit problem. We are releasing the formalization as open source so that other researchers can inspect, extend, and independently validate the result. See it here: https://logicalintelligence.com/blog/aleph-prover-erdos-disproof-lean-4-formal-methods

1:19 PM · May 28, 2026 View on X

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Logical IntelligenceLogical Intelligence@logic_int

NEW: Aleph Prover has formalized OpenAI’s disproof of Paul Erdős’ planar unit problem. We are releasing the formalization as open source so that other researchers can inspect, extend, and independently validate the result. See it here: https://logicalintelligence.com/blog/aleph-prover-erdos-disproof-lean-4-formal-methods

8:19 PM · May 28, 2026 · 51.4K Views
9:04 PM · May 28, 2026 · 534 Views