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Defines coupling matrix A = (ε/2)·[[0,1],[1,0]], proves ‖A‖ = |ε|/2, and applies Mathlib Gronwall for the discrete-continuous coupling bound: ‖e(t)‖ ≤ ‖e(0)‖ · exp(|ε|/2 · (t-a)) Includes trajectory distance variants (interval + global). |
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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