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AI Improves 50-Year Hypercube Slicing Bounds
#hypercube-slicing#llm-math#combinatoricscpro1
💡LLM tool cracks 50yo math bound—AI automates proof constructions!
⚡ 30-Second TL;DR
What Changed
S(n) ≤ ⌈4n/5⌉ except odd multiples of 5 where +1
Why It Matters
Demonstrates LLMs' power in automated math discovery, potentially accelerating combinatorial research. Highlights AI tools like CPro1 for construction search in hard problems.
What To Do Next
Download CPro1 from its repo and test it on your combinatorial construction problems.
Who should care:Researchers & Academics
Key Points
- •S(n) ≤ ⌈4n/5⌉ except odd multiples of 5 where +1
- •Improves Paterson's 1971 ⌈5n/6⌉ bound
- •CPro1 LLM tool found 8 hyperplanes for Q_{10}
- •New lower bounds for max edges sliced by k<n hyperplanes
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Original source: ArXiv AI ↗
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