New proofs, counterexamples, bounds and formalizations reported by people and AI systems, newest first.

Reported developments, attributed to their sources. Inclusion is not an OpenMath assessment; evidence slots show what each source reports. Updated Oct 13, 2026.

February 2026 40

FormalizationCombinatoricsErdős #34

Erdős problem #34

Formalization of an existing proof. Contribution type: Formalization.

Aristotle
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FormalizationCombinatoricsErdős #648

Erdős problem #648

Formalization of an existing proof. Contribution type: Formalization.

Aristotle
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FormalizationCombinatoricsErdős #497

Erdős problem #497

Formalization of an existing proof. Contribution type: Formalization.

Aristotle
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FormalizationCombinatoricsErdős #443

Erdős problem #443

Formalization of an existing proof. Contribution type: Formalization.

Aristotle
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FormalizationCombinatoricsErdős #435

Erdős problem #435

Formalization of an existing proof. Contribution type: Formalization.

Aristotle
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Literature foundCombinatoricsErdős #1150

Erdős problem #1150

Claimed solution found (likely incorrect). Contribution type: Literature search.

Gemini Deep Research
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Partial resultCombinatoricsErdős #943

Erdős problem #943

Partial result. Contribution type: AI collaborating with humans.

GPT-5.4 Pro · Przemek Chojecki
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FormalizationCombinatoricsErdős #947

Erdős problem #947

Formalization of an existing proof. Contribution type: Formalization.

Aristotle · GPT
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New proofCombinatoricsErdős #659

Erdős problem #659

Full solution. Contribution type: AI alongside literature.

Aletheia
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Literature foundCombinatoricsErdős #652

Erdős problem #652

Full solution by applying literature results. Contribution type: Literature search.

Aletheia
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FormalizationCombinatoricsErdős #505

Erdős problem #505

Formalization of an existing proof. Contribution type: Formalization.

Aristotle
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FormalizationCombinatoricsErdős #502

Erdős problem #502

Formalization of an existing proof. Contribution type: Formalization.

Aristotle
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New proofCombinatoricsErdős #397

Erdős problem #397

Full solution. Contribution type: AI alongside literature.

Aletheia
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New proofCombinatoricsErdős #1153

Erdős problem #1153

Full solution. Contribution type: AI collaborating with humans.

AlphaEvolve · Claude · Gemini Pro · GPT-5.2 Thinking · GPT-5.4 Pro · Aron Bhalla · Nat Sothanaphan · Terence Tao
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Partial resultCombinatoricsErdős #1132

Erdős problem #1132

Partial result. Contribution type: AI collaborating with humans.

AlphaEvolve · Claude · Gemini Pro · GPT-5.4 Pro · Terence Tao
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New proofTheoretical computer scienceGemini case 8.5

Networked information aggregation

Case 8.5 in the Gemini Deep Think research report (convergence bound).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 8.4

Revelation-principle domain extension

Case 8.4 in the Gemini Deep Think research report (hypothesis dependent extension).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 8.3

Self-regularized Gumbel sigmoid

Case 8.3 in the Gemini Deep Think research report (optimization analysis).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 8.2

Ratio difference maximization

Case 8.2 in the Gemini Deep Think research report (hardness reduction).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 8.1.2

Unsymmetrized / Li–Médard assertions

Case 8.1.2 in the Gemini Deep Think research report (scoped proof).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 8.1.1

Courtade–Kumar high-noise regime

Case 8.1.1 in the Gemini Deep Think research report (partial result).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 7.5

Entropy, low-rank and Chamfer streaming

Case 7.5 in the Gemini Deep Think research report (multiple algorithmic bounds).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 7.4

Streaming submodular maximization

Case 7.4 in the Gemini Deep Think research report (analysis with hypothesis correction).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 7.3

Robust coresets

Case 7.3 in the Gemini Deep Think research report (construction bound).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 7.2

Local-search query complexity

Case 7.2 in the Gemini Deep Think research report (bounds).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 7.1

Biclique partitions

Case 7.1 in the Gemini Deep Think research report (bounds).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 6.1

Cosmic-string spectral integrals

Case 6.1 in the Gemini Deep Think research report (closed form derivation).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 5.1

Search versus decision in S₂ᴾ

Case 5.1 in the Gemini Deep Think research report (algorithmic research).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 4.3

Regular bipartite perfect matchings

Case 4.3 in the Gemini Deep Think research report (bounds with prior literature corrections).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 4.2

Steiner-tree graph embeddings

Case 4.2 in the Gemini Deep Think research report (conjecture specific proof).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 4.1

Max-Cut geometry

Case 4.1 in the Gemini Deep Think research report (supporting lemma).

Gemini Deep Think research version · Google DeepMind
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New proofTheoretical computer scienceGemini case 3.2

SNARG proof bug

Case 3.2 in the Gemini Deep Think research report (proof error detection).

Gemini Deep Think research version · Google DeepMind
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CounterexampleTheoretical computer scienceGemini case 3.1

Submodular welfare

Case 3.1 in the Gemini Deep Think research report (counterexample).

Gemini Deep Think research version · Google DeepMind
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Literature foundCombinatoricsErdős #992

Erdős problem #992

Full solution found. Contribution type: Literature search.

Aletheia
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Partial resultCombinatoricsErdős #935

Erdős problem #935

Solution to one part of problem. Contribution type: AI alongside literature.

Aletheia
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Partial resultCombinatoricsErdős #75

Erdős problem #75

Solution to variant problem (implicit in literature). Contribution type: AI standalone.

Aletheia
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Literature foundCombinatoricsErdős #705

Erdős problem #705

Full solution found. Contribution type: Literature search.

Aletheia
LFCR
Partial resultCombinatoricsErdős #654

Erdős problem #654

Partial result. Contribution type: AI standalone.

Aletheia
LFCR
Literature foundCombinatoricsErdős #591

Erdős problem #591

Full solution found. Contribution type: Literature search.

Aletheia
LFCR
FormalizationCombinatoricsErdős #399

Erdős problem #399

Formalization of an existing proof. Contribution type: Formalization.

Codex
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