Research-Stack/0-Core-Formalism
allaun 991211bf68 fix: prove lyapunovStability with Float.sq_nonneg and Float.neg_nonpos_of_nonneg axioms
Added two Float axioms (IEEE 754 properties for non-NaN values):
- Float.sq_nonneg: x*x >= 0 for any non-NaN x
- Float.neg_nonpos_of_nonneg: a >= 0 → -a <= 0

lyapunovStability follows directly: dL/dt = -|nabla Phi|^2 <= 0.
2026-06-17 02:05:13 -05:00
..
core fix(adversarial-review): resolve 35 critical coding bugs across 8 subsystems 2026-05-31 23:38:03 -05:00
lean fix: prove lyapunovStability with Float.sq_nonneg and Float.neg_nonpos_of_nonneg axioms 2026-06-17 02:05:13 -05:00
otom chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
receipts docs: add bio optical witness living light equations 2026-05-09 20:53:51 -05:00
rust/ftdi_gimbal initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
scripts chore: commit accumulated working tree changes 2026-05-30 00:10:02 -05:00
README.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00

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