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- Prove flexure_reduces_resistance: Flexure joints reduce local resistance - Prove randers_descent_cheap: Downhill motion cheaper than uphill (using discrete Randers metric) - Prove lower_transport_higher_density: Lower τ → higher T when C constant - Prove moores_law_improves: Higher C → higher T when τ constant - Prove tau_scaling_improves: Lower τ → higher T - Prove lyapunov_descent_is_geodesic_flow: PIST strict_descent = geodesic flow - Prove transport_cost_is_pist_potential: Transport cost = PIST potential All theorems proven. No sorry in committed code. Build: 3562 jobs, 0 errors (lake build) |
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| core | ||
| lean | ||
| otom | ||
| receipts | ||
| rust/ftdi_gimbal | ||
| scripts | ||
| 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