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83 lines added: repunit definition, ExponentialSheet structure, transition operators expT/U/S/P, goormaghtigh_collapse theorem (with TODO — full conjecture open), 6 native_decide witnesses. Correction: second known solution is (90,3,2,13) not (90,5,2,3). R(90,3)=8191=R(2,13) verified via native_decide. Build: 8317 jobs, 0 errors. |
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| lean | ||
| otom | ||
| receipts | ||
| rust/ftdi_gimbal | ||
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| README.md | ||
0-Core-Formalism
Purpose: Formal foundations for the entire Research Stack — Lean modules, bind primitive, Triumvirate consensus, core source.
No external dependencies. All other layers depend on this.
Contents (Target)
| Source | Destination |
|---|---|
0-Core-Formalism/lean/Semantics/ |
0-Core-Formalism/lean/Semantics/ |
core/ |
0-Core-Formalism/core/ |
Concepts
- bind — State → (State → Action) → State
- TriumvirateClock — ternary consensus (ADD/PAUSE/SUBTRACT)
- Builder/Judge/Warden — roles mapped to hardware registers
- OTOM — Ordered Transformation & Orchestration Model
Build
cd "0-Core-Formalism"
lake build