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Research-Stack/0-Core-Formalism
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allaun a5647bacc8 feat: close ode_existence sorry + Burgers NK-Hodge-FAMM consistency + Lonely Runner Lean formalization 
A. ode_existence (AVMRTheorems.lean) — proven via
ContDiffAt.exists_forall_mem_closedBall_exists_eq_forall_mem_Ioo_hasDerivAt.
vectorFieldℝ is affine linear (ContDiff ℝ 1 via fun_prop), satisfying
Picard-Lindelöf. Zero sorries remaining in file.

B. BurgersNKConsistency.lean (167 lines) — 4 theorems mapping Burgers
theorems to NK-Hodge-FAMM conditions. Main theorem: energy bounded
for all n via applyViscosity_energy_le induction.

C. LonelyRunner.lean (311 lines) — 10 sections: circle distance, runner
positions, coverage density, scar region, scar complex, beta0.
Proved lonely_k2_speeds_1_2 and lonely_k3_speeds_1_2_3.
Betti bridge to NK-Hodge-FAMM framework.

All builds: 8598/8313 jobs, 0 errors.
2026-06-16 22:37:20 -05:00
..
core fix(adversarial-review): resolve 35 critical coding bugs across 8 subsystems 2026-05-31 23:38:03 -05:00
lean feat: close ode_existence sorry + Burgers NK-Hodge-FAMM consistency + Lonely Runner Lean formalization 2026-06-16 22:37:20 -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

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