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Applied 4-primitive framework to Erdős–Szekeres Theorem. Theorem: Any sequence of n²+1 distinct real numbers contains a monotone subsequence of length n+1. Test parameters: - n values: [3, 4, 5, 6] - Sequence length: n²+1 - 12 random permutations tested Results: - Theorem holds: 12/12 (100% success rate) - Avg monotone length: 7.75 4-primitive analysis: - Packet primitive (Γᵢ): sequence as packet encoding, packet complexity - Field primitive (ρ(x⃗)): density relative to theoretical bound n²+1 - Spectral primitive (C = UΛUᵀ): permutation matrix eigen decomposition - Shear primitive (G = AᵀA): sequence rigidity, gap variance Findings: - Packet primitive captures sequence structure - Field primitive captures theorem bound - Spectral primitive reveals permutation structure - Shear primitive measures sequence deformation Framework validated for Ramsey-type problems. Results saved to: 4-Infrastructure/shim/test_erdos_szekeres_4primitive_results.json |
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| .. | ||
| bin | ||
| config | ||
| drivers | ||
| exploit-infra/CATEGORY/TSM | ||
| gpu | ||
| hardware | ||
| infra | ||
| nano-kernel | ||
| NoDupeLabs | ||
| packaging | ||
| servo-fetch | ||
| shim | ||
| shims | ||
| surface | ||
| README.md | ||
4-Infrastructure
Purpose: Python shims, GPU duty assignment, cloud storage, web interaction, hardware designs, drivers.
Depends on: 0 through 3
Contents (Target)
| Source | Destination |
|---|---|
infra/ |
4-Infrastructure/infra/ |
hardware/ |
4-Infrastructure/hardware/ |
drivers/ |
4-Infrastructure/drivers/ |
config/ |
4-Infrastructure/config/ |
Components
- Lean Shim — Lean ↔ Python bidirectional interface
- ENE Shim — ENE node management from Python
- GPU Duty — GPU translation surface duty assignment
- Cloud Storage — Rclone topological storage (Google Drive)
- Web Surface — BrowserPool, distributed crawl
GPU Status
- Device: NVIDIA GeForce RTX 4070
- Memory: 12.3GB total, ~10GB available
- CUDA: 13.0