GPT-5.6 Sol Max
"GPT 5.6 Sol Max assisted in the lengthy computations that appear in the proof." Computational support inside a human-led argument.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
Problem detail · source-aware
The Approximation Ratio for Boolean Max-k-CSP
VibeMathed reports this item as partial. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Precise statement
How well can an arbitrary boolean constraint satisfaction problem of arity $k$ be approximated in polynomial time? The paper gives a $(k/2^k)$-approximation, improving the previous best constant of $0.626612\,k/2^k$ due to Makarychev and Makarychev.
The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.
What AI did
Verification boundary
A preprint days old, with no independent review.
Correctness: unknown · statement fidelity: unaudited · peer review: none
Timeline
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arXiv
Removes the constant factor from the previous best guarantee; whether $k/2^k$ is optimal is not settled here.
Known method families
argument (source-reported)
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
What remains uncertain
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.
- VibeMath has not independently verified the mathematical claim.
- AI-attempt independence and training-data exposure are unknown unless explicitly documented.
- VibeMath has not independently audited the mathematical statement, proof, or novelty claim.