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Research-Stack/0-Core-Formalism
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allaun c3e1d676b1 proof(lean): close e8_singer_improvement and erdos30_e8_conditional; restate two invalid sorries 
- e8_singer_improvement: proven via Singer set as direct witness; (119/120)^k ≤ 1 by
  pow_le_one₀, bound follows from mul_le_of_le_one_right.
- erdos30_e8_conditional: proven via interval_sidon_exists (Singer's theorem bridge);
  C=1/4, Nat.sqrt ↔ Real.sqrt bridge via nlinarith on squared terms.
- sidon_weight_bound: restated — LHS corrected from σ₃(a+b) sums to σ₃(a)·σ₃(b)
  products over unordered pairs (original was INVALID_STATEMENT; E₈ convolution
  identity delivers products, not values at pair-sums). Remains ANALYTIC_OPEN.
- e8_levelset_density: restated — T fixed to N^4 (fixed T refuted by
  e8_levelset_density_fails; σ₃(n) ≤ n·n³ = n^4 ≤ N^4 for n ≤ N). Fixed base
  typo Nat.log N → Nat.log 2 N. Remains ANALYTIC_OPEN sorry.
- §14 summary updated with proven theorems and restatement notes.
- Add merkle_tensegrity_load_equation_generator.py to 4-Infrastructure/shim/
  (required by cad_force_probe_experiment_matrix.py import).

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-06-16 14:50:02 -05:00
..
core fix(adversarial-review): resolve 35 critical coding bugs across 8 subsystems 2026-05-31 23:38:03 -05:00
lean proof(lean): close e8_singer_improvement and erdos30_e8_conditional; restate two invalid sorries 2026-06-16 14:50:02 -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